id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
711.3408 | New connection formulae for some q-orthogonal polynomials in q-Askey
scheme | New nonlinear connection formulae of the q-orthogonal polynomials, such
continuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek and
q-Gegenbauer polynomials, in terms of their respective classical analogues are
obtained using a special realization of the q-exponential function as infinite
multiplicative series of ordinary exponential function.
| hep-th math-ph math.MP | new nonlinear connection formulae of the qorthogonal polynomials such continuous qlaguerre continuous big qhermite qmeixnerpollaczek and qgegenbauer polynomials in terms of their respective classical analogues are obtained using a special realization of the qexponential function as infinite multiplicative series of ordinary exponential function | [['new', 'nonlinear', 'connection', 'formulae', 'of', 'the', 'qorthogonal', 'polynomials', 'such', 'continuous', 'qlaguerre', 'continuous', 'big', 'qhermite', 'qmeixnerpollaczek', 'and', 'qgegenbauer', 'polynomials', 'in', 'terms', 'of', 'their', 'respective', 'classical', 'analogues', 'are', 'obtained', 'using', 'a', 'special', 'realization', 'of', 'the', 'qexponential', 'function', 'as', 'infinite', 'multiplicative', 'series', 'of', 'ordinary', 'exponential', 'function']] | [-0.1453913116453995, 0.08718119520876086, -0.07825655981811673, 0.11397260817872404, -0.12145234380177287, -0.11576284750819553, -0.015544081761956562, 0.2921892101984731, -0.3582510427506857, -0.1732071532413017, 0.12651602225378156, -0.2467385163194998, -0.2321396679725758, 0.24000308311782603, -0.06800549214186016, 0.16193664829831483, -0.06815314658939145, 0.028967038143512813, -0.16298874304088395, -0.2626039384929247, 0.3080445541242181, -0.027725969652407045, 0.1770881813799226, -0.08340966251819547, 0.14221532071052595, 0.003619647043388943, -0.07061539973717096, -0.10181690010696996, -0.11107344109954875, 0.10798770622458569, 0.2591175623400527, 0.12094774674407618, 0.2645975207736672, -0.37666336932154587, -0.11649155376349078, 0.20501751929175022, 0.15402249261996773, -0.043119739546158976, -0.004482965028389942, -0.2531721718869237, -0.001323306434896103, -0.2186232405108248, -0.2223226309125853, -0.10420539042760812, 0.02314794864938703, 0.21274137405981852, -0.26151342900080043, 0.11316224262334926, 0.08772058940904084, 0.10624262059194058, -0.016830229406180078, -0.20534983781967744, 0.008269794285297394, 0.05065312668637827, 0.004623566775820976, -0.015528088316408008, 0.016769430535130723, -0.11886369482462489, -0.14966200432891763, 0.32961921372212644, -0.08537905700071606, -0.22815811460794405, 0.08553893658397503, -0.1657354844907342, -0.16735309764179726, 0.07249170538785239, 0.11828182035309891, 0.12972668415411961, -0.05344893568910138, 0.1549675711525366, -0.08019518785092027, 0.011365848647560491, 0.19966943314039085, 0.09097295824091794, 0.11928060451565786, -0.02849621908349353, -0.039356559320071406, 0.20506925589599928, 0.12782061697785244, -0.18060189481218195, -0.34891155682677444, -0.20262906705787362, -0.19668673728267813, 0.09366818112429491, -0.21818952032785896, -0.2685498094489408, 0.3801247694551252, -0.039203319282996536, 0.19917127244217797, 0.15585151007182377, 0.19434330465142116, 0.2592833874771523, 0.015098910654223589, -0.06039281911978114, 0.06791398568122192, 0.23522850534293888, 0.08379393573789479, -0.11777597527069765, 0.05271002020264521, 0.2093613366379814] |
711.3409 | Results of an analysis of SDSS galaxies in the VO | We present here the VO access to the results of an analysis of the spectra of
Sloan Digital Sky Survey (SDSS) galaxies performed with the STARLIGHT code by
Cid Fernandes et al. (2005). The results include for each galaxy the original
SDSS spectrum, the best-fit synthetic spectrum, the star formation history, the
pure emission line spectrum corrected from underlying stellar population (in
SDSS emission line galaxies) and the intensity of several emission/absorption
lines. The database will be accessible from the PGos3 at the end of summer
2007.
| astro-ph | we present here the vo access to the results of an analysis of the spectra of sloan digital sky survey sdss galaxies performed with the starlight code by cid fernandes et al 2005 the results include for each galaxy the original sdss spectrum the bestfit synthetic spectrum the star formation history the pure emission line spectrum corrected from underlying stellar population in sdss emission line galaxies and the intensity of several emissionabsorption lines the database will be accessible from the pgos3 at the end of summer 2007 | [['we', 'present', 'here', 'the', 'vo', 'access', 'to', 'the', 'results', 'of', 'an', 'analysis', 'of', 'the', 'spectra', 'of', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'galaxies', 'performed', 'with', 'the', 'starlight', 'code', 'by', 'cid', 'fernandes', 'et', 'al', '2005', 'the', 'results', 'include', 'for', 'each', 'galaxy', 'the', 'original', 'sdss', 'spectrum', 'the', 'bestfit', 'synthetic', 'spectrum', 'the', 'star', 'formation', 'history', 'the', 'pure', 'emission', 'line', 'spectrum', 'corrected', 'from', 'underlying', 'stellar', 'population', 'in', 'sdss', 'emission', 'line', 'galaxies', 'and', 'the', 'intensity', 'of', 'several', 'emissionabsorption', 'lines', 'the', 'database', 'will', 'be', 'accessible', 'from', 'the', 'pgos3', 'at', 'the', 'end', 'of', 'summer', '2007']] | [0.011708428985764121, 0.002553413157942867, -0.0626707729412416, 0.05366335202788198, -0.1150193521211487, -0.018455891030688964, 0.03948151665404006, 0.42371960378490214, -0.15393429361067193, -0.348637520508884, 0.06508381136687645, -0.3348630314996076, -0.02607934226736773, 0.2196791995490013, -0.04267709749360937, -0.03839177782322432, 0.06183096245580981, -0.1673453286463438, 0.03572312856179684, -0.3355113412361852, 0.3131199519252838, 0.1510562128495685, 0.23444042136611112, -0.06259088697951547, 0.004400758137709872, -0.028803142659409448, -0.18819598932100765, -0.04634340395230453, -0.18406508328003246, 0.048143422339371474, 0.24993219109100484, 0.20449263078355512, 0.1548090601801198, -0.2972984677126501, -0.18763522625099435, 0.04249868835430852, 0.16362758685813047, 0.1182454344166746, -0.06722885852701269, -0.32783482823694166, 0.025475642811723574, -0.19685662735719234, -0.14445180674949878, 0.10356423207883571, 0.014755087254872156, 0.05070039964562585, -0.20238086051269716, 0.08039880048776002, 0.036034237942658365, 0.17251787885893569, -0.10414068929060515, -0.08843798491952204, -0.15936961898385266, 0.1255493430734807, -0.08543650465909132, 0.033103156103860845, 0.1537549541667537, -0.09570168559222894, -0.06311382645494738, 0.4011939335939323, -0.08480170777414081, 0.09666441607310675, 0.1542760306579429, -0.17872682046470081, -0.1704896459637513, 0.17324578714540748, 0.1638425751047772, 0.10491601487914057, -0.17763504374035916, 0.0894717889787835, -0.04499921965044598, 0.2462754385589167, 0.02694506828502622, 0.03226052229526198, 0.2967625982236377, 0.005453964524095618, -0.005138378612004047, 0.09848912221279407, -0.2693690448420036, -0.026245523729431983, -0.2371749135254081, -0.04818354444145117, -0.17505834440884807, 0.06146642713412253, -0.06049750236300941, -0.10655549136098734, 0.43409643114306207, 0.12219475008287402, 0.21299878705487868, 0.05918204050435316, 0.35269413619886997, 0.06223190207640792, 0.05563977731020883, 0.07180311802644716, 0.271282485031068, 0.14827904959350044, 0.1679824027138069, -0.23813690085418868, 0.009200709639117122, 0.01893109693949999] |
711.341 | Self-consistent coupled-channel approach to $D$ and $\bar D$ in hot
dense matter | A self-consistent coupled-channel approach is used to study the properties of
$D$ and $\bar D$ mesons in hot dense matter. The starting point is a broken
SU(4) s-wave Tomozawa-Weinberg $DN$ ($\bar DN$) interaction supplemented by an
attractive isoscalar-scalar term. The Pauli blocking effects, baryon mean-field
bindings, and $\pi$ and open-charm meson self-energies are incorporated in
dense matter at finite temperature. In the $DN$ sector, the dynamically
generated $\tilde\Lambda_c$ and $\tilde\Sigma_c$ resonances remain close to
their free space position while acquiring a remarkable width because of the
thermal smearing of Pauli blocking. Therefore, the $D$ meson spectral density
shows a single pronounced quasiparticle peak close to the free mass, that
broadens with increasing density, and a low energy tail associated to smeared
$\tilde\Lambda_c N^{-1}$, $\tilde\Sigma_c N^{-1}$ configurations. In the $\bar
DN$ case, the low-density approximation to the repulsive $\bar D$ self-energy
is found unreliable already at subsaturation densities. From this study we
speculate the possible existence of $D$-mesic nuclei. We also discuss the
consequences for $J/\Psi$ suppression at FAIR.
| nucl-th hep-ph | a selfconsistent coupledchannel approach is used to study the properties of d and bar d mesons in hot dense matter the starting point is a broken su4 swave tomozawaweinberg dn bar dn interaction supplemented by an attractive isoscalarscalar term the pauli blocking effects baryon meanfield bindings and pi and opencharm meson selfenergies are incorporated in dense matter at finite temperature in the dn sector the dynamically generated tildelambda_c and tildesigma_c resonances remain close to their free space position while acquiring a remarkable width because of the thermal smearing of pauli blocking therefore the d meson spectral density shows a single pronounced quasiparticle peak close to the free mass that broadens with increasing density and a low energy tail associated to smeared tildelambda_c n1 tildesigma_c n1 configurations in the bar dn case the lowdensity approximation to the repulsive bar d selfenergy is found unreliable already at subsaturation densities from this study we speculate the possible existence of dmesic nuclei we also discuss the consequences for jpsi suppression at fair | [['a', 'selfconsistent', 'coupledchannel', 'approach', 'is', 'used', 'to', 'study', 'the', 'properties', 'of', 'd', 'and', 'bar', 'd', 'mesons', 'in', 'hot', 'dense', 'matter', 'the', 'starting', 'point', 'is', 'a', 'broken', 'su4', 'swave', 'tomozawaweinberg', 'dn', 'bar', 'dn', 'interaction', 'supplemented', 'by', 'an', 'attractive', 'isoscalarscalar', 'term', 'the', 'pauli', 'blocking', 'effects', 'baryon', 'meanfield', 'bindings', 'and', 'pi', 'and', 'opencharm', 'meson', 'selfenergies', 'are', 'incorporated', 'in', 'dense', 'matter', 'at', 'finite', 'temperature', 'in', 'the', 'dn', 'sector', 'the', 'dynamically', 'generated', 'tildelambda_c', 'and', 'tildesigma_c', 'resonances', 'remain', 'close', 'to', 'their', 'free', 'space', 'position', 'while', 'acquiring', 'a', 'remarkable', 'width', 'because', 'of', 'the', 'thermal', 'smearing', 'of', 'pauli', 'blocking', 'therefore', 'the', 'd', 'meson', 'spectral', 'density', 'shows', 'a', 'single', 'pronounced', 'quasiparticle', 'peak', 'close', 'to', 'the', 'free', 'mass', 'that', 'broadens', 'with', 'increasing', 'density', 'and', 'a', 'low', 'energy', 'tail', 'associated', 'to', 'smeared', 'tildelambda_c', 'n1', 'tildesigma_c', 'n1', 'configurations', 'in', 'the', 'bar', 'dn', 'case', 'the', 'lowdensity', 'approximation', 'to', 'the', 'repulsive', 'bar', 'd', 'selfenergy', 'is', 'found', 'unreliable', 'already', 'at', 'subsaturation', 'densities', 'from', 'this', 'study', 'we', 'speculate', 'the', 'possible', 'existence', 'of', 'dmesic', 'nuclei', 'we', 'also', 'discuss', 'the', 'consequences', 'for', 'jpsi', 'suppression', 'at', 'fair']] | [-0.15255598854439864, 0.23211239404199227, -0.09469427806921192, 0.1374138492822004, -0.02248138687268476, -0.15030484579619952, 0.09138218514410601, 0.32024170264845625, -0.22125127354575808, -0.21420312604017713, -0.04348881045457563, -0.33389052668852465, -0.040298660967632065, 0.03255012161874523, 0.05456462596166169, 0.03171050335125377, 0.003444263877879296, 0.05654665780630672, -0.10052666814209217, -0.18805236754997168, 0.30992626587283756, 0.02336723642933759, 0.19341734784012216, 0.14270028196430454, -0.03121358965914364, 0.028501047643311767, 0.017987069125021144, -0.04995471770182901, -0.11392648678455382, 0.004831516954471313, 0.23077757035172822, 0.011934524414971833, 0.178122034382319, -0.3806474861977178, -0.1894986293219041, 0.10172558028993774, 0.19584467661167895, 0.1126907744508658, -0.04124563795284346, -0.301123234879924, 0.09318330308001134, -0.2025599587664363, -0.2188897981624385, -0.07136824866756797, 0.060198572830164006, -0.0493747143250186, -0.2833827433295526, 0.11148317554432738, -0.018024142934120305, 0.022372050560079515, -0.04574286721790919, -0.21238726002740718, -0.0640509456501431, 0.014402467729745521, 0.05164561491498413, 0.09944794959821072, 0.16430041339758428, -0.15462092144575545, -0.01090444897168449, 0.38996456622234765, -0.06326337583734476, -0.12761330503105586, 0.17088428203160652, -0.15955687137708688, -0.11256618709081695, 0.19053561839419195, 0.14782278402223406, 0.06605045084740725, -0.12669839190840276, 0.1297193254020905, -0.024167300779871375, 0.14573345027141235, 0.09596749074019802, 0.09144708230797689, 0.19374871784835013, 0.148256923864773, -0.0016763916078378401, 0.08533093377593018, -0.0869451302711414, -0.09735763372633041, -0.3275453581341675, -0.04400283746127527, -0.14431707251822531, 0.05558286900382622, -0.07555305751529454, -0.11911534070636012, 0.3260172725824218, 0.052459176539698435, 0.25577885800989214, 0.0004196715347331649, 0.28356934425565195, 0.10607210837770253, 0.06862982315526876, 0.11951525445051846, 0.21969894724281316, 0.20960604796294188, 0.06995997252358523, -0.34810687812084024, -0.019485209198007527, 0.02128817605054272] |
711.3411 | The $C^{\a}$ regularity of a class of non-homogeneous ultraparabolic
equations | We obtain the $C^{\a}$ regularity for weak solutions of a class of
non-homogeneous ultraparabolic equation, with measurable coefficients. The
result generalizes our recent $C^{\a}$ regularity results of homogeneous
ultraparabolic equation.
| math.AP math.DG | we obtain the ca regularity for weak solutions of a class of nonhomogeneous ultraparabolic equation with measurable coefficients the result generalizes our recent ca regularity results of homogeneous ultraparabolic equation | [['we', 'obtain', 'the', 'ca', 'regularity', 'for', 'weak', 'solutions', 'of', 'a', 'class', 'of', 'nonhomogeneous', 'ultraparabolic', 'equation', 'with', 'measurable', 'coefficients', 'the', 'result', 'generalizes', 'our', 'recent', 'ca', 'regularity', 'results', 'of', 'homogeneous', 'ultraparabolic', 'equation']] | [-0.13489048220217228, 0.012229455433165034, -0.004559183617432913, 0.005197399854660034, -0.12680964184304078, -0.1510475606812785, -0.053143661779661976, 0.25710714124143125, -0.32827712550448873, -0.14064911600823204, 0.10004701894552757, -0.3001146432633201, -0.10277387922008832, 0.21223048008978368, -0.05941143287345767, 0.10342515767551959, 0.10432342098404963, -0.003593773270646731, -0.09703082876900831, -0.27057881820946933, 0.4216566337272525, -0.06852723592892289, 0.25139528314272563, 0.015791787517567477, 0.09849479470091561, -0.04003445538692176, -0.04934154835840066, 0.06985202499975761, -0.29555312506854536, 0.14262114794303973, 0.2160995164886117, 0.047180383031566936, 0.24695841648984546, -0.3656642427047094, -0.28832131437957287, 0.0869891199748963, 0.02827498416105906, 0.10718659721314908, -0.0765904562547803, -0.33117114529013636, 0.11481948706010978, -0.07164146176849802, -0.270928464923054, -0.05540185393765569, 0.016578970911602178, 0.16761363428086043, -0.4023500209053357, 0.17923905790473024, 0.15180881045137842, 0.06099719991907478, -0.23345402325503528, -0.10690865442156791, -0.011103810020722448, -0.03309908914379776, 0.01811575721949339, -0.012693644780665637, -0.04176573435155054, -0.12793743113676706, -0.04955706658462684, 0.3087169133126736, -0.18991271862760187, -0.2641111181428035, 0.17636002612610657, -0.17776157936702172, -0.15695569765909265, 0.130977808808287, 0.10655827281686167, 0.21823763238886992, -0.10055204629898071, 0.1905138364682595, -0.1928735981384913, 0.11680519822984933, 0.10421710514153043, 0.053989364424099524, -0.03649144868055979, 0.12245670299356183, 0.136966472864151, 0.1009750407266741, 0.036915121615553895, -0.07886714899602036, -0.37061203916867574, -0.18106215468918282, -0.08843583626051744, 0.1954599063222607, -0.1493446835161497, -0.22176320947085817, 0.3231142546981573, 0.12151350229978561, 0.16136749566843112, 0.12581324465572835, 0.11087553078929584, 0.23152662244392558, -0.05568079923590024, 0.06450194055214524, 0.16163308589408795, 0.24892256947544714, 0.25641354474549494, -0.19475449584424495, 0.07079100769090776, 0.23089684701214233] |
711.3412 | Morphological annotation of Korean with Directly Maintainable Resources | This article describes an exclusively resource-based method of morphological
annotation of written Korean text. Korean is an agglutinative language. Our
annotator is designed to process text before the operation of a syntactic
parser. In its present state, it annotates one-stem words only. The output is a
graph of morphemes annotated with accurate linguistic information. The
granularity of the tagset is 3 to 5 times higher than usual tagsets. A
comparison with a reference annotated corpus showed that it achieves 89% recall
without any corpus training. The language resources used by the system are
lexicons of stems, transducers of suffixes and transducers of generation of
allomorphs. All can be easily updated, which allows users to control the
evolution of the performances of the system. It has been claimed that
morphological annotation of Korean text could only be performed by a
morphological analysis module accessing a lexicon of morphemes. We show that it
can also be performed directly with a lexicon of words and without applying
morphological rules at annotation time, which speeds up annotation to 1,210
word/s. The lexicon of words is obtained from the maintainable language
resources through a fully automated compilation process.
| cs.CL | this article describes an exclusively resourcebased method of morphological annotation of written korean text korean is an agglutinative language our annotator is designed to process text before the operation of a syntactic parser in its present state it annotates onestem words only the output is a graph of morphemes annotated with accurate linguistic information the granularity of the tagset is 3 to 5 times higher than usual tagsets a comparison with a reference annotated corpus showed that it achieves 89 recall without any corpus training the language resources used by the system are lexicons of stems transducers of suffixes and transducers of generation of allomorphs all can be easily updated which allows users to control the evolution of the performances of the system it has been claimed that morphological annotation of korean text could only be performed by a morphological analysis module accessing a lexicon of morphemes we show that it can also be performed directly with a lexicon of words and without applying morphological rules at annotation time which speeds up annotation to 1210 words the lexicon of words is obtained from the maintainable language resources through a fully automated compilation process | [['this', 'article', 'describes', 'an', 'exclusively', 'resourcebased', 'method', 'of', 'morphological', 'annotation', 'of', 'written', 'korean', 'text', 'korean', 'is', 'an', 'agglutinative', 'language', 'our', 'annotator', 'is', 'designed', 'to', 'process', 'text', 'before', 'the', 'operation', 'of', 'a', 'syntactic', 'parser', 'in', 'its', 'present', 'state', 'it', 'annotates', 'onestem', 'words', 'only', 'the', 'output', 'is', 'a', 'graph', 'of', 'morphemes', 'annotated', 'with', 'accurate', 'linguistic', 'information', 'the', 'granularity', 'of', 'the', 'tagset', 'is', '3', 'to', '5', 'times', 'higher', 'than', 'usual', 'tagsets', 'a', 'comparison', 'with', 'a', 'reference', 'annotated', 'corpus', 'showed', 'that', 'it', 'achieves', '89', 'recall', 'without', 'any', 'corpus', 'training', 'the', 'language', 'resources', 'used', 'by', 'the', 'system', 'are', 'lexicons', 'of', 'stems', 'transducers', 'of', 'suffixes', 'and', 'transducers', 'of', 'generation', 'of', 'allomorphs', 'all', 'can', 'be', 'easily', 'updated', 'which', 'allows', 'users', 'to', 'control', 'the', 'evolution', 'of', 'the', 'performances', 'of', 'the', 'system', 'it', 'has', 'been', 'claimed', 'that', 'morphological', 'annotation', 'of', 'korean', 'text', 'could', 'only', 'be', 'performed', 'by', 'a', 'morphological', 'analysis', 'module', 'accessing', 'a', 'lexicon', 'of', 'morphemes', 'we', 'show', 'that', 'it', 'can', 'also', 'be', 'performed', 'directly', 'with', 'a', 'lexicon', 'of', 'words', 'and', 'without', 'applying', 'morphological', 'rules', 'at', 'annotation', 'time', 'which', 'speeds', 'up', 'annotation', 'to', '1210', 'words', 'the', 'lexicon', 'of', 'words', 'is', 'obtained', 'from', 'the', 'maintainable', 'language', 'resources', 'through', 'a', 'fully', 'automated', 'compilation', 'process']] | [-0.06920618080553545, 0.05499512785012561, -0.06914886945970747, 0.0572386561602536, -0.17645236590623622, -0.11908412521646519, 0.10584191340070549, 0.42803966103814034, -0.2689982688356757, -0.3453292196509258, 0.05972851916638091, -0.2977610713113081, -0.059027992208434646, 0.19554877274484417, -0.09495319326588621, 0.030650300898099152, 0.15735623828459688, 0.09078388233578896, -0.02704436403786988, -0.2660520903564105, 0.27435100291726416, 0.04426851122352387, 0.32010297519788733, -0.041502508629206084, 0.14504022801877609, -0.08903953652184077, -0.09042116663423587, -0.016791717785639756, -0.0194547698919217, 0.16064841945714156, 0.35040382298284956, 0.2544837388202685, 0.28225635898028895, -0.3735413717310778, -0.16684934034631516, 0.024719044458272218, 0.12229390730545003, 0.13814530904643746, 0.01479345442637611, -0.3557045770204426, 0.11782511980065598, -0.2093982744098919, 0.052066663777484944, -0.0969486924629483, 0.04103486539786243, -0.009855974472922649, -0.24835020801874064, 0.02624832601813692, 0.1351831456346447, 0.1276273888155467, -0.010826824633989736, -0.07704103343964053, -0.019910235534524496, 0.18349253014461453, -0.0048585104044765745, 0.10056583293901357, 0.12199516180647947, -0.13781507377005645, -0.15475695315841098, 0.4011856837305411, -0.05426381774899167, -0.21262278196192225, 0.17834154537913063, -0.06536589180611815, -0.14002680583827742, 0.1076909367394931, 0.13988562372478983, 0.07596295025517813, -0.21970669443948262, 0.03816582288359004, -0.035501081069824116, 0.3213758175005327, 0.13100729714250142, -0.02471514881213064, 0.14921336728075021, 0.2500795485617603, -0.047292368127830345, 0.1494234829503526, -0.040378011984193544, 0.03181071846480164, -0.23419338081968236, -0.16983056913490507, -0.16162946819344837, -0.022347620290372502, -0.075824492628819, -0.15302145172090936, 0.3880228707518097, 0.18635475065276338, 0.12741424531705742, 0.10748996301456623, 0.2820992445309905, 0.017158446987695915, 0.1637653231118557, 0.0801811756862386, 0.11412661945866664, -0.026300733882192697, 0.16189306498784328, -0.15486501647934747, 0.13602061967697013, 0.07684051336903285] |
711.3413 | A knitting algorithm for calculating Green functions in quantum systems | We propose a fast and versatile algorithm to calculate local and transport
properties such as conductance, shot noise, local density of state or local
currents in mesoscopic quantum systems. Within the non equilibrium Green
function formalism, we generalize the recursive Green function technique to
tackle multiterminal devices with arbitrary geometries. We apply our method to
analyze two recent experiments: an electronic Mach-Zehnder interferometer in a
2D gas and a Hall bar made of graphene nanoribbons in quantum Hall regime. In
the latter case, we find that the Landau edge state pinned to the Dirac point
gets diluted upon increasing carrier density.
| cond-mat.mes-hall | we propose a fast and versatile algorithm to calculate local and transport properties such as conductance shot noise local density of state or local currents in mesoscopic quantum systems within the non equilibrium green function formalism we generalize the recursive green function technique to tackle multiterminal devices with arbitrary geometries we apply our method to analyze two recent experiments an electronic machzehnder interferometer in a 2d gas and a hall bar made of graphene nanoribbons in quantum hall regime in the latter case we find that the landau edge state pinned to the dirac point gets diluted upon increasing carrier density | [['we', 'propose', 'a', 'fast', 'and', 'versatile', 'algorithm', 'to', 'calculate', 'local', 'and', 'transport', 'properties', 'such', 'as', 'conductance', 'shot', 'noise', 'local', 'density', 'of', 'state', 'or', 'local', 'currents', 'in', 'mesoscopic', 'quantum', 'systems', 'within', 'the', 'non', 'equilibrium', 'green', 'function', 'formalism', 'we', 'generalize', 'the', 'recursive', 'green', 'function', 'technique', 'to', 'tackle', 'multiterminal', 'devices', 'with', 'arbitrary', 'geometries', 'we', 'apply', 'our', 'method', 'to', 'analyze', 'two', 'recent', 'experiments', 'an', 'electronic', 'machzehnder', 'interferometer', 'in', 'a', '2d', 'gas', 'and', 'a', 'hall', 'bar', 'made', 'of', 'graphene', 'nanoribbons', 'in', 'quantum', 'hall', 'regime', 'in', 'the', 'latter', 'case', 'we', 'find', 'that', 'the', 'landau', 'edge', 'state', 'pinned', 'to', 'the', 'dirac', 'point', 'gets', 'diluted', 'upon', 'increasing', 'carrier', 'density']] | [-0.17215005378065962, 0.125863344006449, -0.09599834057216597, 0.030112383089553895, 0.009101992901783474, -0.17513046056345696, 0.07724746737380207, 0.3907379506358711, -0.272157660897563, -0.25164376430231894, -0.007682951240993962, -0.26873001217436376, -0.20343964322617664, 0.16423505981508088, -0.014132537514819661, 0.088613490057685, -0.013436969922910822, -0.08261532127156411, -0.08427982959702685, -0.19979931323761396, 0.2888199028992417, 0.022790876969275536, 0.3222838860503075, 0.043442209212035676, 0.06574879642714294, 0.04448749617406047, 0.05359702897119788, 0.06242955512929671, -0.1443717366083448, 0.04901331229743981, 0.2513404017369641, -0.06753026186903514, 0.22788679618203994, -0.5107170053490317, -0.19769420071809304, 0.013152896034724937, 0.10917501573884252, 0.2078238103197574, -0.048194627012448886, -0.2909239657421476, 0.05110058272403687, -0.19427822063686234, -0.1598322396464865, -0.09417150453618257, -0.015295025348515795, -0.013159323008823217, -0.23283842652298437, 0.09885683827941297, 0.008079132387912509, -0.014325582957134979, -0.02435398904222299, -0.11901693302667746, 0.0009375084837031836, 0.07059655477532582, -0.07244023847587333, 0.026439834008048668, 0.23336336418691248, -0.17928368897444688, -0.1401414785183745, 0.31009693060180926, -0.09288604988135618, -0.17258176916407994, 0.18168338882220486, -0.18238293483742687, -0.0915346087721905, 0.09143944536013031, 0.13931054379883231, 0.11066025232038654, -0.14159850935258045, 0.09200044386008165, -0.04044811815106411, 0.12300400570234385, 0.05804840933605291, 0.09273970532599873, 0.23579166667209708, 0.1460595851819409, 0.14041128576419656, 0.191340537875485, -0.13744788546815956, -0.08572364842177986, -0.2174302745186309, -0.19009750527719474, -0.23515380352809287, 0.11146553515428954, -0.01699129538567354, -0.21509347637045648, 0.40578757229233436, 0.17560021294336212, 0.18711061455715117, 0.004220782675420736, 0.3165895777321098, 0.17294248170449888, 0.024275744177105995, 0.07635546454440544, 0.16119933426195737, 0.18445297880651484, 0.1164182782873954, -0.27884780748350785, -0.0031892814993913663, 0.047509233515691196] |
711.3414 | Developing and Deploying Advanced Algorithms to Novel Supercomputing
Hardware | The objective of our research is to demonstrate the practical usage and
orders of magnitude speedup of real-world applications by using alternative
technologies to support high performance computing. Currently, the main barrier
to the widespread adoption of this technology is the lack of development tools
and case studies that typically impede non-specialists that might otherwise
develop applications that could leverage these technologies. By partnering with
the Innovative Systems Laboratory at the National Center for Supercomputing, we
have obtained access to several novel technologies, including several
Field-Programmable Gate Array (FPGA) systems, NVidia Graphics Processing Units
(GPUs), and the STI Cell BE platform. Our goal is to not only demonstrate the
capabilities of these systems, but to also serve as guides for others to follow
in our path. To date, we have explored the efficacy of the SRC-6 MAP-C and
MAP-E and SGI RASC Athena and RC100 reconfigurable computing platforms in
supporting a two-point correlation function which is used in a number of
different scientific domains. In a brute force test, the FPGA based
single-processor system has achieved an almost two orders of magnitude speedup
over a single-processor CPU system. We are now developing implementations of
this algorithm on other platforms, including one using a GPU. Given the
considerable efforts of the cosmology community in optimizing these classes of
algorithms, we are currently working to implement an optimized version of the
basic family of correlation functions by using tree-based data structures.
Finally, we are also exploring other algorithms, such as instance-based
classifiers, power spectrum estimators, and higher-order correlation functions
that are also commonly used in a wide range of scientific disciplines.
| astro-ph | the objective of our research is to demonstrate the practical usage and orders of magnitude speedup of realworld applications by using alternative technologies to support high performance computing currently the main barrier to the widespread adoption of this technology is the lack of development tools and case studies that typically impede nonspecialists that might otherwise develop applications that could leverage these technologies by partnering with the innovative systems laboratory at the national center for supercomputing we have obtained access to several novel technologies including several fieldprogrammable gate array fpga systems nvidia graphics processing units gpus and the sti cell be platform our goal is to not only demonstrate the capabilities of these systems but to also serve as guides for others to follow in our path to date we have explored the efficacy of the src6 mapc and mape and sgi rasc athena and rc100 reconfigurable computing platforms in supporting a twopoint correlation function which is used in a number of different scientific domains in a brute force test the fpga based singleprocessor system has achieved an almost two orders of magnitude speedup over a singleprocessor cpu system we are now developing implementations of this algorithm on other platforms including one using a gpu given the considerable efforts of the cosmology community in optimizing these classes of algorithms we are currently working to implement an optimized version of the basic family of correlation functions by using treebased data structures finally we are also exploring other algorithms such as instancebased classifiers power spectrum estimators and higherorder correlation functions that are also commonly used in a wide range of scientific disciplines | [['the', 'objective', 'of', 'our', 'research', 'is', 'to', 'demonstrate', 'the', 'practical', 'usage', 'and', 'orders', 'of', 'magnitude', 'speedup', 'of', 'realworld', 'applications', 'by', 'using', 'alternative', 'technologies', 'to', 'support', 'high', 'performance', 'computing', 'currently', 'the', 'main', 'barrier', 'to', 'the', 'widespread', 'adoption', 'of', 'this', 'technology', 'is', 'the', 'lack', 'of', 'development', 'tools', 'and', 'case', 'studies', 'that', 'typically', 'impede', 'nonspecialists', 'that', 'might', 'otherwise', 'develop', 'applications', 'that', 'could', 'leverage', 'these', 'technologies', 'by', 'partnering', 'with', 'the', 'innovative', 'systems', 'laboratory', 'at', 'the', 'national', 'center', 'for', 'supercomputing', 'we', 'have', 'obtained', 'access', 'to', 'several', 'novel', 'technologies', 'including', 'several', 'fieldprogrammable', 'gate', 'array', 'fpga', 'systems', 'nvidia', 'graphics', 'processing', 'units', 'gpus', 'and', 'the', 'sti', 'cell', 'be', 'platform', 'our', 'goal', 'is', 'to', 'not', 'only', 'demonstrate', 'the', 'capabilities', 'of', 'these', 'systems', 'but', 'to', 'also', 'serve', 'as', 'guides', 'for', 'others', 'to', 'follow', 'in', 'our', 'path', 'to', 'date', 'we', 'have', 'explored', 'the', 'efficacy', 'of', 'the', 'src6', 'mapc', 'and', 'mape', 'and', 'sgi', 'rasc', 'athena', 'and', 'rc100', 'reconfigurable', 'computing', 'platforms', 'in', 'supporting', 'a', 'twopoint', 'correlation', 'function', 'which', 'is', 'used', 'in', 'a', 'number', 'of', 'different', 'scientific', 'domains', 'in', 'a', 'brute', 'force', 'test', 'the', 'fpga', 'based', 'singleprocessor', 'system', 'has', 'achieved', 'an', 'almost', 'two', 'orders', 'of', 'magnitude', 'speedup', 'over', 'a', 'singleprocessor', 'cpu', 'system', 'we', 'are', 'now', 'developing', 'implementations', 'of', 'this', 'algorithm', 'on', 'other', 'platforms', 'including', 'one', 'using', 'a', 'gpu', 'given', 'the', 'considerable', 'efforts', 'of', 'the', 'cosmology', 'community', 'in', 'optimizing', 'these', 'classes', 'of', 'algorithms', 'we', 'are', 'currently', 'working', 'to', 'implement', 'an', 'optimized', 'version', 'of', 'the', 'basic', 'family', 'of', 'correlation', 'functions', 'by', 'using', 'treebased', 'data', 'structures', 'finally', 'we', 'are', 'also', 'exploring', 'other', 'algorithms', 'such', 'as', 'instancebased', 'classifiers', 'power', 'spectrum', 'estimators', 'and', 'higherorder', 'correlation', 'functions', 'that', 'are', 'also', 'commonly', 'used', 'in', 'a', 'wide', 'range', 'of', 'scientific', 'disciplines']] | [-0.12220752658409656, 0.027067735170433645, -0.05670365995172871, 0.03292666919802382, -0.08239414879166232, -0.1344336343594314, 0.01409368904670247, 0.4413234391406681, -0.2485217590108235, -0.3620769964872898, 0.13112405507497435, -0.2509971997946543, -0.1543818688192771, 0.3178753074823638, -0.046192577878738775, 0.1033328277397245, 0.07105391251519741, -0.013682779163638416, -0.06599238205854589, -0.30135309982832087, 0.2524824143458883, 0.08710567076073102, 0.32234479481012523, 0.06626169827909728, 0.07193602750440606, -0.046661590961983586, -0.015119041828961854, -0.00367534433034587, -0.0736099993998633, 0.1743699450325744, 0.30736015774204994, 0.1938781817025097, 0.33232873108949557, -0.43618145548609477, -0.18776124415828493, 0.07585834804747937, 0.14258845087990152, 0.07065394325284305, -0.07298626138415355, -0.2507779124046393, 0.09049022240452607, -0.21933922446106147, -0.08577217652322026, -0.11785661043453838, 0.01044537119104349, 0.06190658544542526, -0.23500123442663404, -0.021207521752299993, -0.005023248281633117, 0.08400590182369233, -0.002830677598624138, -0.14708242432322452, 0.0749650523458932, 0.15066440319921473, -5.4337187192301626e-06, 0.03111676981477311, 0.1611051586149644, -0.1277874242970005, -0.204456284552619, 0.3760014762005364, -0.020124776203626564, -0.16253801866971682, 0.22652755416528592, -0.07603002296087476, -0.15255221911821137, 0.06797794269725736, 0.2106008938398589, 0.0748989482302121, -0.16947993788779242, 0.05327812501526706, 0.030748447010900532, 0.17444902797288886, 0.04611109450898981, 0.0568507537755885, 0.19941633747889392, 0.22356786930842903, 0.06109734847165002, 0.13591789231768178, -0.05666614151978342, -0.10284587042842214, -0.22218949188851517, -0.17264821010289455, -0.19491631110994082, -0.010105761587704805, -0.05884736027157201, -0.15917293087680465, 0.3772638536717617, 0.2156155893844221, 0.09485639658606566, 0.04599896020049749, 0.3594731834371773, 0.05071989690958198, 0.17552992580842214, 0.09910912146924364, 0.19859396180221706, 0.05057726793814353, 0.13703366637025866, -0.15374938865656151, 0.04071755079754841, -0.015098738192501286] |
711.3415 | Anomalous Hall effect in a two dimensional electron gas with magnetic
impurities | Magnetic impurities play an important role in many spintronics-related
materials. Motivated by this fact, we study the anomalous Hall effect in the
presence of magnetic impurities, focusing on two-dimensional electron systems
with Rashba spin-orbit coupling. We find a highly nonlinear dependence on the
impurity polarization, including possible sign changes. At small impurity
magnetizations, this is a consequence of the remarkable result that the linear
term is independent of the spin-orbit coupling strength. Near saturation of the
impurity spins, the anomalous Hall conductivity can be resonantly enhanced, due
to interference between potential and magnetic scattering.
| cond-mat.mtrl-sci | magnetic impurities play an important role in many spintronicsrelated materials motivated by this fact we study the anomalous hall effect in the presence of magnetic impurities focusing on twodimensional electron systems with rashba spinorbit coupling we find a highly nonlinear dependence on the impurity polarization including possible sign changes at small impurity magnetizations this is a consequence of the remarkable result that the linear term is independent of the spinorbit coupling strength near saturation of the impurity spins the anomalous hall conductivity can be resonantly enhanced due to interference between potential and magnetic scattering | [['magnetic', 'impurities', 'play', 'an', 'important', 'role', 'in', 'many', 'spintronicsrelated', 'materials', 'motivated', 'by', 'this', 'fact', 'we', 'study', 'the', 'anomalous', 'hall', 'effect', 'in', 'the', 'presence', 'of', 'magnetic', 'impurities', 'focusing', 'on', 'twodimensional', 'electron', 'systems', 'with', 'rashba', 'spinorbit', 'coupling', 'we', 'find', 'a', 'highly', 'nonlinear', 'dependence', 'on', 'the', 'impurity', 'polarization', 'including', 'possible', 'sign', 'changes', 'at', 'small', 'impurity', 'magnetizations', 'this', 'is', 'a', 'consequence', 'of', 'the', 'remarkable', 'result', 'that', 'the', 'linear', 'term', 'is', 'independent', 'of', 'the', 'spinorbit', 'coupling', 'strength', 'near', 'saturation', 'of', 'the', 'impurity', 'spins', 'the', 'anomalous', 'hall', 'conductivity', 'can', 'be', 'resonantly', 'enhanced', 'due', 'to', 'interference', 'between', 'potential', 'and', 'magnetic', 'scattering']] | [-0.23330936564873622, 0.2214134045069479, 0.029936350576619628, 0.0472963674579777, -0.04784729858479833, -0.14827330743954067, 0.0006698711940477933, 0.3479069337569257, -0.2930724500047584, -0.3189613358668422, -0.025253786597781443, -0.31670578847569164, -0.17953349173229227, 0.18734224348939876, 0.046587260244714636, -0.016457779913820247, -0.035858155698865975, -0.05542186301161525, -0.06045917384839687, -0.21623966649239781, 0.34242197083574044, 0.038170706285464186, 0.28375765783411844, 0.17349850927149096, 0.02921380462144972, 0.07613686045571681, 0.1080267862967586, 0.056114485741452745, -0.06542740081556164, 0.020746187321414235, 0.20059758828332028, -0.2000762232278395, 0.20051306635341656, -0.4595639283057823, -0.16467014168419183, 0.03501872109970258, 0.1566203763553252, 0.20402147600887924, -0.10989064071577803, -0.28314108875209604, -0.04426807286067595, -0.1394109630366407, -0.13801060397032727, -0.06939549459224587, 0.0410201582877386, -0.03300366750217333, -0.2987340979017718, 0.11513317340073646, 0.09724165874242943, 0.08772347811409222, -0.06689412018624685, -0.10811726864607583, -0.04454329547031673, 0.06575344098351335, 0.12631406940980464, 0.05110485315753487, 0.19126096285218674, -0.17106283110846834, -0.1104102133853381, 0.3397237434182116, -0.12100701957380258, -0.15453711999279837, 0.17188489274872887, -0.2200595641668926, -0.08096466803052012, 0.14220000757405193, 0.19143399015389462, 0.06363785768588705, -0.11770686238343196, 0.1258389821410009, -0.035396134826324636, 0.14511150635919104, 0.005250049554692802, 0.12244673098327331, 0.30403143652184034, 0.1866992289871378, 0.062331088066917235, 0.14647295857624462, -0.13992775957130135, -0.02314692832371821, -0.21735646872110265, -0.1277803815250355, -0.2358994001011935, 0.09673157425488406, -0.09956080773429099, -0.18714227297553612, 0.3738093144530731, 0.19572596660044084, 0.16443425455000452, -0.13488779609812604, 0.2434533573486792, 0.18627013450598603, 0.08083984310868927, 0.021068871907529332, 0.3151336375633956, 0.22668743783718234, 0.10098105854785411, -0.4214626766530977, 0.08949247978487483, -0.0023767884360045514] |
711.3416 | Nodal domains on graphs - How to count them and why? | The purpose of the present manuscript is to collect known results and present
some new ones relating to nodal domains on graphs, with special emphasize on
nodal counts. Several methods for counting nodal domains will be presented, and
their relevance as a tool in spectral analysis will be discussed.
| math-ph math.MP | the purpose of the present manuscript is to collect known results and present some new ones relating to nodal domains on graphs with special emphasize on nodal counts several methods for counting nodal domains will be presented and their relevance as a tool in spectral analysis will be discussed | [['the', 'purpose', 'of', 'the', 'present', 'manuscript', 'is', 'to', 'collect', 'known', 'results', 'and', 'present', 'some', 'new', 'ones', 'relating', 'to', 'nodal', 'domains', 'on', 'graphs', 'with', 'special', 'emphasize', 'on', 'nodal', 'counts', 'several', 'methods', 'for', 'counting', 'nodal', 'domains', 'will', 'be', 'presented', 'and', 'their', 'relevance', 'as', 'a', 'tool', 'in', 'spectral', 'analysis', 'will', 'be', 'discussed']] | [-0.10075845552266252, 0.01563283214725706, -0.06406983605833078, 0.11836171554334994, -0.13709317830068116, -0.11159540362161946, 0.028053030275445128, 0.3806581838526858, -0.20551019055502756, -0.2925598868929154, 0.1837207568234441, -0.30077779444637803, -0.13739151693880558, 0.30167062272678835, -0.11469820276739037, 0.03208553458430937, 0.0712061738025169, 0.04149831673938173, -0.050225687574367135, -0.2485636855589644, 0.3771410944434453, 0.015879457588402594, 0.2569568504256253, 0.1407012896688313, -0.040392249290432246, -0.023863827068434686, -0.10002899772430561, 0.0522810302826823, -0.17889562528580427, 0.1927280160503424, 0.32017408151711735, 0.12280383608684096, 0.22700295030918657, -0.39217065567416803, -0.19369354726252508, 0.0807608024678098, 0.16419618055984683, 0.12142664049657023, -0.06038831980727917, -0.28675408269829894, 0.0901316347132836, -0.10999086527724047, -0.16047335474048646, -0.17610795625808592, -0.018250841181725264, 0.11396397692056334, -0.14903745910494912, -0.004941944061417361, 0.05742000545165977, 0.06892179420255885, -0.026554883609772945, -0.16496591007679093, 0.03409622526936689, 0.12515574539726487, 0.06974495392368764, -0.00849008288386525, 0.018509554771744475, -0.0628863199404916, -0.1846359056249565, 0.396841688271688, -0.012723443269425509, -0.21411797586752443, 0.18704929400463494, -0.12556788440774747, -0.1975575477379013, 0.064963924425312, 0.18652650662602818, 0.15487268544277366, -0.14485148559039346, 0.027742094129837136, -0.025747554566787213, 0.11385046439815541, 0.04066637840730195, 0.03723922217910995, 0.18358954623797719, 0.16672425139315275, 0.07438829248504979, 0.1749297815698142, -0.0988781771584585, -0.05305926104513358, -0.33661736122199465, -0.1397378988449975, -0.20061701431642381, -0.012063540116769775, -0.032806509981592354, -0.16787231671481337, 0.4363574650024577, 0.1574185699870696, 0.22219615474305288, 0.03461284883206292, 0.24413874699753157, 0.07859551068157794, 0.043113823253091196, 0.020412129777654702, 0.16444064744531975, 0.14241563792967674, 0.1396757128781506, -0.13364722407708057, 0.038074262392688164, 0.053515565947496464] |
711.3417 | Vacuum Bubble in an Inhomogeneous Cosmology | We study the propagation of bubbles of new vacuum in a radially inhomogeneous
Lemaitre-Tolman-Bondi background that includes a cosmological constant. This
exemplifies the classical evolution of a tunneling bubble through a metastable
state with curvature inhomogeneities, and will be relevant in the context of
the Landscape. We demand that the matter profile in the LTB background satisfy
the weak energy condition. For sample profiles that satisfy this restriction,
we find that the evolution of the bubble (in terms of the physically relevant
coordinates intrinsic to the shell) is largely unaffected by the prsence of
local inhomogeneities. Our setup should also be a useful toy model for
capturing the effects of ambient inhomogeneities on an inflating region.
| hep-th astro-ph hep-ph | we study the propagation of bubbles of new vacuum in a radially inhomogeneous lemaitretolmanbondi background that includes a cosmological constant this exemplifies the classical evolution of a tunneling bubble through a metastable state with curvature inhomogeneities and will be relevant in the context of the landscape we demand that the matter profile in the ltb background satisfy the weak energy condition for sample profiles that satisfy this restriction we find that the evolution of the bubble in terms of the physically relevant coordinates intrinsic to the shell is largely unaffected by the prsence of local inhomogeneities our setup should also be a useful toy model for capturing the effects of ambient inhomogeneities on an inflating region | [['we', 'study', 'the', 'propagation', 'of', 'bubbles', 'of', 'new', 'vacuum', 'in', 'a', 'radially', 'inhomogeneous', 'lemaitretolmanbondi', 'background', 'that', 'includes', 'a', 'cosmological', 'constant', 'this', 'exemplifies', 'the', 'classical', 'evolution', 'of', 'a', 'tunneling', 'bubble', 'through', 'a', 'metastable', 'state', 'with', 'curvature', 'inhomogeneities', 'and', 'will', 'be', 'relevant', 'in', 'the', 'context', 'of', 'the', 'landscape', 'we', 'demand', 'that', 'the', 'matter', 'profile', 'in', 'the', 'ltb', 'background', 'satisfy', 'the', 'weak', 'energy', 'condition', 'for', 'sample', 'profiles', 'that', 'satisfy', 'this', 'restriction', 'we', 'find', 'that', 'the', 'evolution', 'of', 'the', 'bubble', 'in', 'terms', 'of', 'the', 'physically', 'relevant', 'coordinates', 'intrinsic', 'to', 'the', 'shell', 'is', 'largely', 'unaffected', 'by', 'the', 'prsence', 'of', 'local', 'inhomogeneities', 'our', 'setup', 'should', 'also', 'be', 'a', 'useful', 'toy', 'model', 'for', 'capturing', 'the', 'effects', 'of', 'ambient', 'inhomogeneities', 'on', 'an', 'inflating', 'region']] | [-0.12820924702302916, 0.13992275413563576, -0.11751041609550948, 0.10028652617930556, -0.06325489550666964, -0.05369162746988561, -0.01303601666637089, 0.3413622486202613, -0.24186026284714107, -0.27516308907095505, 0.08557599488261115, -0.2249374969497971, -0.08325312261105232, 0.13896307485056636, -0.01980907207825626, -0.020068198782594308, -0.001635498258933101, -0.009859211791468703, -0.0463044157869223, -0.23451091321995077, 0.3966246307058179, 0.10800192341532396, 0.2825935052383853, 0.05174983701790157, 0.08287600371480475, -0.04564789874357698, -0.01755643531923061, 0.09163562745341788, -0.17889512166426436, 0.0730862893326127, 0.16167145258868518, 0.1020442761723762, 0.23753355522032665, -0.4573577700179632, -0.2960742117351164, 0.11690870689066207, 0.14446378716308136, 0.17422545637287523, -0.0792436973789059, -0.295442499074599, 0.027694043504965047, -0.13253589140899155, -0.20113121469950546, -0.035330768160360015, 0.016678227059057225, 0.004450014733668903, -0.24161091363462417, 0.13766870059898, 0.03622954135669557, -0.0288464961492497, -0.1124601107860065, -0.01542605024802944, -0.028601338866207263, 0.0806488216004294, 0.05539490264820178, -0.009562404091348467, 0.16515654561555257, -0.1694375201695315, -0.011599519055174744, 0.38564716835060847, -0.12390922750143901, -0.19551232888201334, 0.11575643543720893, -0.17188577339857938, -0.11276947724349473, 0.1463859786198515, 0.14033871341658674, 0.10722001422115642, -0.15426024369814473, 0.1182451301046809, -0.0344523460968681, 0.1522413681483949, 0.049308632887171015, 0.03258913338346326, 0.2715940029238877, 0.1475095252233112, 0.04865985396925522, 0.14733821649063863, -0.07199722538783175, -0.09016490934983544, -0.3893973323638025, -0.14210168010676685, -0.1380574494721773, 0.04552173148435743, -0.13650422048863814, -0.20830557472679925, 0.3848751760857261, 0.14657381322872623, 0.19286538571038325, -0.01795796216465533, 0.2656347152331601, 0.05373648418538758, 0.02709474747636072, 0.08641161448119775, 0.2766315482485958, 0.09728622095780852, 0.12181663456494393, -0.23584860054087703, 0.06551530402477669, -0.004317544564685744] |
711.3418 | Realistic simulations of gravitational lensing by galaxy clusters:
extracting arc parameters from mock DUNE images | We present a newly developed code that allows simulations of optical
observations of galaxy fields with a variety of instruments. The code
incorporates gravitational lensing effects and is targetted at simulating
lensing by galaxy clusters. Our goal is to create the tools required for
comparing theoretical expectations with observations to obtain a better
understanding of how observational noise affects lensing applications such as
mass estimates, studies on the internal properties of galaxy clusters and arc
statistics. Starting from a set of input parameters, characterizing both the
instruments and the observational conditions, the simulator provides a virtual
observation of a patch of the sky. It includes several sources of noise such as
photon-noise, sky background, seeing, and instrumental noise. Ray-tracing
through simulated mass distributions accounts for gravitational lensing. Source
morphologies are realistically simulated based on shapelet decompositions of
galaxy images retrieved from the GOODS-ACS archive. According to their
morphological class, spectral-energy-distributions are assigned to the source
galaxies in order to reproduce observations of each galaxy in arbitrary
photometric bands. We illustrate our techniques showing virtual observations of
a galaxy-cluster core as it would be observed with the space telescope DUNE,
which was recently proposed to ESA within its "Cosmic vision" programme.
(Abridged)
| astro-ph | we present a newly developed code that allows simulations of optical observations of galaxy fields with a variety of instruments the code incorporates gravitational lensing effects and is targetted at simulating lensing by galaxy clusters our goal is to create the tools required for comparing theoretical expectations with observations to obtain a better understanding of how observational noise affects lensing applications such as mass estimates studies on the internal properties of galaxy clusters and arc statistics starting from a set of input parameters characterizing both the instruments and the observational conditions the simulator provides a virtual observation of a patch of the sky it includes several sources of noise such as photonnoise sky background seeing and instrumental noise raytracing through simulated mass distributions accounts for gravitational lensing source morphologies are realistically simulated based on shapelet decompositions of galaxy images retrieved from the goodsacs archive according to their morphological class spectralenergydistributions are assigned to the source galaxies in order to reproduce observations of each galaxy in arbitrary photometric bands we illustrate our techniques showing virtual observations of a galaxycluster core as it would be observed with the space telescope dune which was recently proposed to esa within its cosmic vision programme abridged | [['we', 'present', 'a', 'newly', 'developed', 'code', 'that', 'allows', 'simulations', 'of', 'optical', 'observations', 'of', 'galaxy', 'fields', 'with', 'a', 'variety', 'of', 'instruments', 'the', 'code', 'incorporates', 'gravitational', 'lensing', 'effects', 'and', 'is', 'targetted', 'at', 'simulating', 'lensing', 'by', 'galaxy', 'clusters', 'our', 'goal', 'is', 'to', 'create', 'the', 'tools', 'required', 'for', 'comparing', 'theoretical', 'expectations', 'with', 'observations', 'to', 'obtain', 'a', 'better', 'understanding', 'of', 'how', 'observational', 'noise', 'affects', 'lensing', 'applications', 'such', 'as', 'mass', 'estimates', 'studies', 'on', 'the', 'internal', 'properties', 'of', 'galaxy', 'clusters', 'and', 'arc', 'statistics', 'starting', 'from', 'a', 'set', 'of', 'input', 'parameters', 'characterizing', 'both', 'the', 'instruments', 'and', 'the', 'observational', 'conditions', 'the', 'simulator', 'provides', 'a', 'virtual', 'observation', 'of', 'a', 'patch', 'of', 'the', 'sky', 'it', 'includes', 'several', 'sources', 'of', 'noise', 'such', 'as', 'photonnoise', 'sky', 'background', 'seeing', 'and', 'instrumental', 'noise', 'raytracing', 'through', 'simulated', 'mass', 'distributions', 'accounts', 'for', 'gravitational', 'lensing', 'source', 'morphologies', 'are', 'realistically', 'simulated', 'based', 'on', 'shapelet', 'decompositions', 'of', 'galaxy', 'images', 'retrieved', 'from', 'the', 'goodsacs', 'archive', 'according', 'to', 'their', 'morphological', 'class', 'spectralenergydistributions', 'are', 'assigned', 'to', 'the', 'source', 'galaxies', 'in', 'order', 'to', 'reproduce', 'observations', 'of', 'each', 'galaxy', 'in', 'arbitrary', 'photometric', 'bands', 'we', 'illustrate', 'our', 'techniques', 'showing', 'virtual', 'observations', 'of', 'a', 'galaxycluster', 'core', 'as', 'it', 'would', 'be', 'observed', 'with', 'the', 'space', 'telescope', 'dune', 'which', 'was', 'recently', 'proposed', 'to', 'esa', 'within', 'its', 'cosmic', 'vision', 'programme', 'abridged']] | [-0.05569377004634589, 0.04680359224963468, -0.12292706390144303, 0.11266344085452147, -0.12417006182135083, -0.0531591949169524, 0.0007572993147186935, 0.4113717040978372, -0.17683033589506522, -0.38551298510283233, 0.0852485507860547, -0.2908563343191781, -0.08579227142490709, 0.26169087885413317, -0.0260465662938077, 0.047983428859442935, 0.10526781013002619, -0.08815199524047784, -0.024343734895810484, -0.2837095415953081, 0.29708492836274675, 0.1375911916187033, 0.2228947165439604, -0.05199996315757744, 0.11929779477301054, -0.04157754478801508, -0.1613401525700465, 0.026553694770082074, -0.13968220408674825, 0.05481761495175306, 0.25463796043535697, 0.19227693284192354, 0.20833116343012079, -0.36735380321741107, -0.2416740434244275, 0.054544448119122534, 0.12698706815659533, 0.10603501972305822, -0.05735742661752738, -0.34205216804519295, 0.05842777283629402, -0.15074757660739124, -0.14412152762524783, -0.017616607419913635, -0.019244460255722514, 0.07318185312615241, -0.2558888972434215, 0.056935324287042025, -0.018988797481288202, 0.06827058430295438, -0.10386853691277792, -0.07088991720112972, -0.04231413993460592, 0.15197573615296278, -0.002090560852084309, 0.052411909148140694, 0.16436355608457234, -0.1590632390556857, -0.06610599340870976, 0.43535437384154646, -0.061515920629608443, -0.08444611806684406, 0.19127013827688644, -0.17405304072191938, -0.1764391372166574, 0.08772673998726532, 0.19375472597312182, 0.05257409321377054, -0.17100768989184872, 0.050273731891065834, 0.0015458939550444485, 0.1978429998923093, 0.014462068328866736, 0.048595985708889206, 0.29121801123023033, 0.1384470289479941, 0.04457575207343325, 0.13707682348962408, -0.2315718241687864, -0.00504609638825059, -0.2635817885096185, -0.06369687728496501, -0.18256288778269664, 0.04651529517839663, -0.10374446440342582, -0.146571577648574, 0.3847061519115232, 0.1787975267379079, 0.17275318734464234, 0.06850400632421952, 0.3431132303690538, 0.008281911755984766, 0.10793697380140657, 0.029358005486428737, 0.2529610035737278, 0.14772288104286418, 0.06789920455776155, -0.18694168276211712, 0.0529814229265321, -0.0061497905473515855] |
711.3419 | Translating OWL and Semantic Web Rules into Prolog: Moving Toward
Description Logic Programs | To appear in Theory and Practice of Logic Programming (TPLP), 2008.
We are researching the interaction between the rule and the ontology layers
of the Semantic Web, by comparing two options: 1) using OWL and its rule
extension SWRL to develop an integrated ontology/rule language, and 2) layering
rules on top of an ontology with RuleML and OWL. Toward this end, we are
developing the SWORIER system, which enables efficient automated reasoning on
ontologies and rules, by translating all of them into Prolog and adding a set
of general rules that properly capture the semantics of OWL. We have also
enabled the user to make dynamic changes on the fly, at run time. This work
addresses several of the concerns expressed in previous work, such as negation,
complementary classes, disjunctive heads, and cardinality, and it discusses
alternative approaches for dealing with inconsistencies in the knowledge base.
In addition, for efficiency, we implemented techniques called
extensionalization, avoiding reanalysis, and code minimization.
| cs.AI | to appear in theory and practice of logic programming tplp 2008 we are researching the interaction between the rule and the ontology layers of the semantic web by comparing two options 1 using owl and its rule extension swrl to develop an integrated ontologyrule language and 2 layering rules on top of an ontology with ruleml and owl toward this end we are developing the sworier system which enables efficient automated reasoning on ontologies and rules by translating all of them into prolog and adding a set of general rules that properly capture the semantics of owl we have also enabled the user to make dynamic changes on the fly at run time this work addresses several of the concerns expressed in previous work such as negation complementary classes disjunctive heads and cardinality and it discusses alternative approaches for dealing with inconsistencies in the knowledge base in addition for efficiency we implemented techniques called extensionalization avoiding reanalysis and code minimization | [['to', 'appear', 'in', 'theory', 'and', 'practice', 'of', 'logic', 'programming', 'tplp', '2008', 'we', 'are', 'researching', 'the', 'interaction', 'between', 'the', 'rule', 'and', 'the', 'ontology', 'layers', 'of', 'the', 'semantic', 'web', 'by', 'comparing', 'two', 'options', '1', 'using', 'owl', 'and', 'its', 'rule', 'extension', 'swrl', 'to', 'develop', 'an', 'integrated', 'ontologyrule', 'language', 'and', '2', 'layering', 'rules', 'on', 'top', 'of', 'an', 'ontology', 'with', 'ruleml', 'and', 'owl', 'toward', 'this', 'end', 'we', 'are', 'developing', 'the', 'sworier', 'system', 'which', 'enables', 'efficient', 'automated', 'reasoning', 'on', 'ontologies', 'and', 'rules', 'by', 'translating', 'all', 'of', 'them', 'into', 'prolog', 'and', 'adding', 'a', 'set', 'of', 'general', 'rules', 'that', 'properly', 'capture', 'the', 'semantics', 'of', 'owl', 'we', 'have', 'also', 'enabled', 'the', 'user', 'to', 'make', 'dynamic', 'changes', 'on', 'the', 'fly', 'at', 'run', 'time', 'this', 'work', 'addresses', 'several', 'of', 'the', 'concerns', 'expressed', 'in', 'previous', 'work', 'such', 'as', 'negation', 'complementary', 'classes', 'disjunctive', 'heads', 'and', 'cardinality', 'and', 'it', 'discusses', 'alternative', 'approaches', 'for', 'dealing', 'with', 'inconsistencies', 'in', 'the', 'knowledge', 'base', 'in', 'addition', 'for', 'efficiency', 'we', 'implemented', 'techniques', 'called', 'extensionalization', 'avoiding', 'reanalysis', 'and', 'code', 'minimization']] | [-0.07663764563651614, 0.0048594461284224896, -0.04998777584012622, 0.09538706627994728, -0.15589789459837755, -0.12401985235298706, 0.12607674470548014, 0.40464173215530386, -0.2786733857444992, -0.3413653029366189, 0.07769212164993214, -0.2621576621903071, -0.10726726542829067, 0.15945870813670432, -0.08082338432176335, 0.0489385257231125, 0.04243814604131469, 0.01584806199375374, -0.036048523614006595, -0.22185684630134184, 0.33236197022584735, 0.0259735221762483, 0.2715321211544737, 0.06068850668135342, 0.08197279633497404, 0.047695918155501886, -0.08569337869846043, 0.036201156999109085, -0.0817516500037701, 0.18335663896484283, 0.336972582621491, 0.2867622244693443, 0.2918881346252124, -0.47941985436282153, -0.13166687784829195, 0.018993068963884686, 0.11493181071250112, 0.06556484623067674, 0.026196456586224305, -0.29419305264819295, 0.08078373572195933, -0.2268386149551322, -0.03570635542926041, -0.11291483732735276, 0.02157850616914072, -0.00030125700127167307, -0.2546477467170175, -0.044004451354652654, 0.13379450787190988, 0.11165960984168112, -0.04083888476586954, -0.12727797342387212, 0.046027216430053496, 0.11002748439408791, 0.01493838499819231, 0.0281217017850192, 0.11737372134782516, -0.11116027950967668, -0.18816595458111185, 0.3583830373871858, -0.004231506553745479, -0.187142766391114, 0.2020680337794315, -0.019656191577773045, -0.16522127695553668, 0.0524650962999577, 0.1547951684385289, 0.10904995768752163, -0.18810499007487372, 0.08903490111697465, -0.0016826916990985584, 0.20112511100971206, 0.12753328742091632, 0.0038688003124853084, 0.21613898779344182, 0.22226725585734958, 0.011047601814019927, 0.13448167311110695, -0.018870320983985913, -0.10775720066788375, -0.28231282924912915, -0.16987063133033217, -0.07803555087491894, -0.06919595980898115, -0.06336892502079125, -0.14706856618593833, 0.36604332071462065, 0.2049345451015623, 0.1277643882491178, 0.10129385556696445, 0.32588752161023343, 0.07156507706332278, 0.12757742168547906, 0.06998891391565988, 0.15816713027154825, 0.04337898922852792, 0.14990804742155656, -0.1462518991642946, 0.09412497652888856, 0.06986197505211517] |
711.342 | On Ramanujan Cubic Polynomials | A polynomial x^3+px^2+qx+r with the condition pr^(1/3)+ 3r^(2/3)+q=0 we call
a Ramanujan cubic polynomial (RCP). We study different interest properties of
RCP, in particular, an important role of a parameter pq/r. We prove some new
beautiful identities containing sums of 6 cubic radicals of values of
trigonometrical functions as well.
| math.AC | a polynomial x3px2qxr with the condition pr13 3r23q0 we call a ramanujan cubic polynomial rcp we study different interest properties of rcp in particular an important role of a parameter pqr we prove some new beautiful identities containing sums of 6 cubic radicals of values of trigonometrical functions as well | [['a', 'polynomial', 'x3px2qxr', 'with', 'the', 'condition', 'pr13', '3r23q0', 'we', 'call', 'a', 'ramanujan', 'cubic', 'polynomial', 'rcp', 'we', 'study', 'different', 'interest', 'properties', 'of', 'rcp', 'in', 'particular', 'an', 'important', 'role', 'of', 'a', 'parameter', 'pqr', 'we', 'prove', 'some', 'new', 'beautiful', 'identities', 'containing', 'sums', 'of', '6', 'cubic', 'radicals', 'of', 'values', 'of', 'trigonometrical', 'functions', 'as', 'well']] | [-0.1971498303076563, 0.08905451438507346, -0.07066158174226682, 0.06727961318877836, -0.10062216878577601, -0.11074319094768725, 0.005429305446644624, 0.31884524604538456, -0.3093630983494222, -0.22530552510094518, 0.10316738369632124, -0.25426526747954387, -0.2108704437656949, 0.2382284443010576, -0.03631723419918368, 0.055217321581646196, -0.001862073433585465, 0.049917106283828616, -0.13052694596505413, -0.31218438568369794, 0.26359112446273986, -0.01817047205986455, 0.14860543574710997, 0.08037432046451916, 0.09841460133126627, 0.006051938796493535, 0.03130827231992347, -0.009614052522617081, -0.21345349286760515, 0.13074720506362306, 0.25409276721378166, 0.07823990269389469, 0.2706301079306286, -0.3658180038910359, -0.09877954316713537, 0.19434470023649433, 0.11598009852847706, 0.04888265475165099, -0.08401175648032222, -0.1858148370326186, 0.0532040888016733, -0.16145504932986418, -0.20167197310365736, -0.06681799424889807, 0.048024378571426496, 0.11693226976300745, -0.31279126869048923, 0.07329905816004612, 0.10000809579166041, 0.1330625275343967, -0.013062626492076864, -0.21408518679284802, 0.04243287102144677, 0.04186152736656368, 0.0031053630082169548, -0.01176517597923521, 0.005841447496398662, -0.1525082350029455, -0.14277791573355594, 0.39944965491304174, -0.0327602961260709, -0.1895398237199212, 0.11840578665335973, -0.1545212266695065, -0.2440532198136983, 0.10727997195984547, 0.16036853419306377, 0.16273378623494258, -0.09154519980074838, 0.09563759339895721, -0.16105271027966714, 0.11593559095247959, 0.18123914004536346, 0.046095171477645636, 0.12098194018471986, 0.05644565699913073, 0.03033558118234699, 0.25707532253970083, 0.03618534846464172, -0.061462209249536194, -0.3065871930060287, -0.20244025414285716, -0.15964181488379836, 0.09073537246634562, -0.19704770339497676, -0.2062009893124923, 0.4081465701650207, 0.03273546992568299, 0.22072590507256487, 0.057171293902986996, 0.13981248585817715, 0.11587428577816657, 0.029354443729971536, 0.015386483758144701, 0.11639676828356944, 0.1799751166254282, 0.025203440066737432, -0.09215296184023221, 0.059393721991606675, 0.14209883694032518] |
711.3421 | A growth model for RNA secondary structures | A hierarchical model for the growth of planar arch structures for RNA
secondary structures is presented, and shown to be equivalent to a tree-growth
model. Both models can be solved analytically, giving access to scaling
functions for large molecules, and corrections to scaling, checked by numerical
simulations of up to 6500 bases. The equivalence of both models should be
helpful in understanding more general tree-growth processes.
| q-bio.BM cond-mat.stat-mech | a hierarchical model for the growth of planar arch structures for rna secondary structures is presented and shown to be equivalent to a treegrowth model both models can be solved analytically giving access to scaling functions for large molecules and corrections to scaling checked by numerical simulations of up to 6500 bases the equivalence of both models should be helpful in understanding more general treegrowth processes | [['a', 'hierarchical', 'model', 'for', 'the', 'growth', 'of', 'planar', 'arch', 'structures', 'for', 'rna', 'secondary', 'structures', 'is', 'presented', 'and', 'shown', 'to', 'be', 'equivalent', 'to', 'a', 'treegrowth', 'model', 'both', 'models', 'can', 'be', 'solved', 'analytically', 'giving', 'access', 'to', 'scaling', 'functions', 'for', 'large', 'molecules', 'and', 'corrections', 'to', 'scaling', 'checked', 'by', 'numerical', 'simulations', 'of', 'up', 'to', '6500', 'bases', 'the', 'equivalence', 'of', 'both', 'models', 'should', 'be', 'helpful', 'in', 'understanding', 'more', 'general', 'treegrowth', 'processes']] | [-0.07345522390184642, 0.09973802860600478, -0.09449008427503885, 0.14960557099071925, -0.03866238766490961, -0.18113922608564748, 0.02002214847809889, 0.36537329992984957, -0.28583118716029055, -0.3078842843727519, 0.08059253997105936, -0.22129985297656138, -0.13737797031574178, 0.220568648278431, 0.006659065076911991, 0.07783052292793538, 0.05126002840133327, -0.05886945156662753, -0.01979667292625615, -0.22312048754908823, 0.25206924315231544, 0.1299599739864017, 0.24302487034407078, 0.05342768492515792, 0.042426025974705364, -0.07523568689992483, -0.012137467076889041, 0.06449356291330222, -0.13402176622978665, 0.12277685171416537, 0.26741769152244105, 0.09165438930645134, 0.17996080522425473, -0.43410968506765185, -0.23739624957582264, 0.07476235429093128, 0.19322954483725358, 0.11610897150680874, 0.0025376035983120373, -0.25741358202966774, 0.14037436409147852, -0.16247319223299256, -0.13587800771082667, -0.12830370970098584, 0.026833664131999918, 0.019138528528856114, -0.34200970196362696, 0.04497876907275482, 0.04452746543525295, 0.021804353409221, -0.06419351665923993, -0.07784184830256202, -0.030125283092881244, 0.13359345655330937, 0.003908552633495701, 0.001421156120627667, 0.08404218625615943, -0.12562025998803703, -0.1510426037465081, 0.41734158291453216, -0.02438918938578078, -0.24908071214502508, 0.20338117345377352, -0.1317206778013232, -0.12246615644262145, 0.1467557409637128, 0.20998413987796416, 0.10070186701010574, -0.19306856343014675, 0.05789705489896181, 0.002718048339540308, 0.15956954660853653, 0.05908752640596393, -0.060779880488002105, 0.21055139447421287, 0.16113934314202968, -0.011553556319664825, 0.14289384954220927, 0.018667419123548, -0.13528528184432423, -0.22988940203195493, -0.12911027851937848, -0.08780643812408953, 0.03356046028519896, -0.10224108457888095, -0.14372825231112074, 0.3559266251271986, 0.12825726415736205, 0.18651605103955124, 0.10153322089745691, 0.2261595465666191, 0.12879876883799266, 0.12301939824652491, 0.05650247872637754, 0.19617535509733539, 0.1795746597397903, 0.03397076634097506, -0.16775459699530268, 0.0770031787440971, 0.04615455504619714] |
711.3422 | Dipolar interaction in ultra-cold atomic gases | Ultra-cold atomic systems provide a new setting where to investigate the role
of long-range interactions. In this paper we will review the basics features of
those physical systems, in particular focusing on the case of Chromium atoms.
On the experimental side, we report on the observation of dipolar effects in
the expansion dynamics of a Chromium Bose-Einstein condensate. By using a
Feshbach resonance, the scattering length characterising the contact
interaction can be strongly reduced, thus increasing the relative effect of the
dipole-dipole interaction. Such experiments make Chromium atoms the strongest
candidates at present for the achievement of the strong dipolar regime.
On the theoretical side, we investigate the behaviour of ultra-cold dipolar
systems in the presence of a periodic potential. We discuss how to realise this
situation experimentally and we characterise the system in terms of its quantum
phases and metastable states, discussing in detail the differences with respect
to the case of zero-range interactions.
| cond-mat.other | ultracold atomic systems provide a new setting where to investigate the role of longrange interactions in this paper we will review the basics features of those physical systems in particular focusing on the case of chromium atoms on the experimental side we report on the observation of dipolar effects in the expansion dynamics of a chromium boseeinstein condensate by using a feshbach resonance the scattering length characterising the contact interaction can be strongly reduced thus increasing the relative effect of the dipoledipole interaction such experiments make chromium atoms the strongest candidates at present for the achievement of the strong dipolar regime on the theoretical side we investigate the behaviour of ultracold dipolar systems in the presence of a periodic potential we discuss how to realise this situation experimentally and we characterise the system in terms of its quantum phases and metastable states discussing in detail the differences with respect to the case of zerorange interactions | [['ultracold', 'atomic', 'systems', 'provide', 'a', 'new', 'setting', 'where', 'to', 'investigate', 'the', 'role', 'of', 'longrange', 'interactions', 'in', 'this', 'paper', 'we', 'will', 'review', 'the', 'basics', 'features', 'of', 'those', 'physical', 'systems', 'in', 'particular', 'focusing', 'on', 'the', 'case', 'of', 'chromium', 'atoms', 'on', 'the', 'experimental', 'side', 'we', 'report', 'on', 'the', 'observation', 'of', 'dipolar', 'effects', 'in', 'the', 'expansion', 'dynamics', 'of', 'a', 'chromium', 'boseeinstein', 'condensate', 'by', 'using', 'a', 'feshbach', 'resonance', 'the', 'scattering', 'length', 'characterising', 'the', 'contact', 'interaction', 'can', 'be', 'strongly', 'reduced', 'thus', 'increasing', 'the', 'relative', 'effect', 'of', 'the', 'dipoledipole', 'interaction', 'such', 'experiments', 'make', 'chromium', 'atoms', 'the', 'strongest', 'candidates', 'at', 'present', 'for', 'the', 'achievement', 'of', 'the', 'strong', 'dipolar', 'regime', 'on', 'the', 'theoretical', 'side', 'we', 'investigate', 'the', 'behaviour', 'of', 'ultracold', 'dipolar', 'systems', 'in', 'the', 'presence', 'of', 'a', 'periodic', 'potential', 'we', 'discuss', 'how', 'to', 'realise', 'this', 'situation', 'experimentally', 'and', 'we', 'characterise', 'the', 'system', 'in', 'terms', 'of', 'its', 'quantum', 'phases', 'and', 'metastable', 'states', 'discussing', 'in', 'detail', 'the', 'differences', 'with', 'respect', 'to', 'the', 'case', 'of', 'zerorange', 'interactions']] | [-0.17496202730183158, 0.17563144139675124, -0.03139289951687979, 0.05404876510672752, 0.012065602499510972, -0.09588415786443699, 0.0435504034514569, 0.34995967498229397, -0.24630937990882704, -0.24138085090953315, 0.026849439846832426, -0.316190956418793, -0.13966881005514054, 0.16487949919255993, 0.048076361859397544, 0.001556021082890971, 0.04815855654437215, 0.014957729273573346, -0.06572346451782411, -0.24990187513702097, 0.3633843245878515, 0.05987261132292089, 0.24974119775147446, 0.13398035250063384, 0.033398429808327024, 0.02497840371553696, 0.06416758577970247, -0.01771518309871035, -0.16015922146278525, 0.12848595140854857, 0.20096433432998076, -0.017049351864073786, 0.22045063580115956, -0.4657641934771692, -0.19795101039382, 0.09203539370862399, 0.16443916598875677, 0.17952977145511295, -0.060765604449496156, -0.3205587712957734, -0.0337490783794032, -0.17339208763498332, -0.16028652840984925, -0.10126066525436697, 0.024846810210616358, 0.059070233111419984, -0.21950753068010653, 0.04282921091653406, 0.0773899092236177, 0.10226170442127172, -0.07769542237698672, -0.060540171907163196, 0.06936039532564821, 0.07986981865138777, 0.002388931774804669, -0.018421226561129572, 0.13766465909598816, -0.1851083085511721, -0.10901822074947339, 0.4232036889140164, -0.12431567043156153, -0.13627882933905047, 0.24036549682158134, -0.1652066635644822, -0.10596194511219378, 0.07238793627569272, 0.20824893701581224, 0.0924152740187222, -0.11687997109406899, 0.08308581893497537, -0.02660030055670969, 0.1690119007196758, 0.02635884064910633, 0.09500485235194285, 0.25505874752998353, 0.20102159680287923, 0.002029539179056883, 0.2046664121703455, -0.1011157250385769, -0.12580432656836965, -0.2738998319322784, -0.148676219794734, -0.17360185285609575, 0.0012637058933896402, -0.01587203816161491, -0.13796925234097626, 0.39571320611322597, 0.1944792274918948, 0.2102106692750127, -0.04849650343699801, 0.25776645289734007, 0.09330122217896485, 0.00936505250452507, -0.04570621301329905, 0.3079317144163313, 0.1475560283145657, 0.08190879235344549, -0.3143951526332286, 0.06012163766990265, 0.015922898087169856] |
711.3423 | On beta-function of tube of light cone | We construct $B$-function of the Hermitian symmetric space
$\OO(n,2)/\OO(n)\times \OO(2)$ or equivalently of the tube $(Re z_0)^2> (Re
z_1)^2+...+ (Re z_n)^2$ in $C^{n+1}
| math.CA math.CV | we construct bfunction of the hermitian symmetric space oon2oontimes oo2 or equivalently of the tube re z_02 re z_12 re z_n2 in cn1 | [['we', 'construct', 'bfunction', 'of', 'the', 'hermitian', 'symmetric', 'space', 'oon2oontimes', 'oo2', 'or', 'equivalently', 'of', 'the', 'tube', 're', 'z_02', 're', 'z_12', 're', 'z_n2', 'in', 'cn1']] | [-0.215019037862393, 0.1637034899216484, 0.07919859352775595, 0.060407160611992534, -0.052200905682349745, -0.18853595649654215, -0.03555788129398769, 0.32043327094817703, -0.22256799194623123, -0.11994039377366955, 0.12686818285146728, -0.2781545452519574, -0.05547699278262867, 0.08350632550321858, -0.020530070016816768, -0.039353535933928055, -0.11641868593340571, 0.06907538781789216, -0.17061771932375533, -0.19265875965356827, 0.3018091579856859, -0.04216245824301785, 0.18958688048984518, -0.04374544469068165, 0.07057181352072141, 0.01770251113074747, 0.07356635489585725, -0.03924796906093517, -0.2251241695643826, 0.050515115038830445, 0.2296790558506142, 0.12523567761209878, 0.14209926610981877, -0.3495180037888614, -0.048967148304324255, 0.19829369996759025, 0.23316714438525113, -0.08996168286962943, 0.016386671711436727, -0.24482047083702954, 0.11620171876116232, -0.1964743618684059, -0.17408120107244363, -0.020444355397061867, 0.10494445624697785, 0.025436462749811737, -0.27893067049709236, 0.034563682126727974, 0.12514664505777712, 0.1661072973775762, -0.03733486110683192, -0.16836492784998633, -0.13533875142986124, -0.024498361871916462, 0.03380255116446113, 0.09880621371452104, 0.08538011302748187, -0.025503595105626366, -0.01152168997478756, 0.38481840169565246, -0.005510093728927049, -0.2652523092586886, 0.07857062128393656, -0.15989759293469516, -0.10146735947240483, 0.10575742526403205, 0.13478506170213223, 0.15514357523484665, 0.07601618229157546, 0.2808344560590657, -0.15275996072556486, 0.12011348279933869, 0.11739203477786346, -0.0826556232588535, 0.10854341318322853, 0.07174256355078383, 0.06920154595916922, 0.08214103591374376, -0.011658103099431504, -0.0047026260501959105, -0.2795912298289212, -0.2820875197649002, -0.11828336288983171, 0.18865247612649744, -0.11890025542710315, -0.23467682251198727, 0.31068380090238695, -0.02881244570016861, 0.18958443724973637, 0.05762978211383928, 0.079167642545971, 0.06019391445707614, 0.054020966911180454, 0.09207524367692796, 0.11944403761828487, 0.13434435579587112, 0.06717799938368527, -0.16902725102210586, -0.11115088614381173, 0.2291931744495576] |
711.3424 | Trilinear Anomalous Gauge Interactions from Intersecting Branes and the
Neutral Currents Sector | We present a study of the trilinear gauge interactions in extensions of the
Standard Model (SM) with several anomalous extra U(1)'s, identified in various
constructions, from special vacua of string theory to large extra dimensions.
In these models an axion and generalized Chern-Simons interactions for
anomalies cancelation are present. We derive generalized Ward identities for
these vertices and discuss their structure in the Stuckelberg and
Higgs-Stuckelberg phases. We give their explicit expressions in all the
relevant cases, which can be used for phenomenological studies of these models
at the LHC.
| hep-ph | we present a study of the trilinear gauge interactions in extensions of the standard model sm with several anomalous extra u1s identified in various constructions from special vacua of string theory to large extra dimensions in these models an axion and generalized chernsimons interactions for anomalies cancelation are present we derive generalized ward identities for these vertices and discuss their structure in the stuckelberg and higgsstuckelberg phases we give their explicit expressions in all the relevant cases which can be used for phenomenological studies of these models at the lhc | [['we', 'present', 'a', 'study', 'of', 'the', 'trilinear', 'gauge', 'interactions', 'in', 'extensions', 'of', 'the', 'standard', 'model', 'sm', 'with', 'several', 'anomalous', 'extra', 'u1s', 'identified', 'in', 'various', 'constructions', 'from', 'special', 'vacua', 'of', 'string', 'theory', 'to', 'large', 'extra', 'dimensions', 'in', 'these', 'models', 'an', 'axion', 'and', 'generalized', 'chernsimons', 'interactions', 'for', 'anomalies', 'cancelation', 'are', 'present', 'we', 'derive', 'generalized', 'ward', 'identities', 'for', 'these', 'vertices', 'and', 'discuss', 'their', 'structure', 'in', 'the', 'stuckelberg', 'and', 'higgsstuckelberg', 'phases', 'we', 'give', 'their', 'explicit', 'expressions', 'in', 'all', 'the', 'relevant', 'cases', 'which', 'can', 'be', 'used', 'for', 'phenomenological', 'studies', 'of', 'these', 'models', 'at', 'the', 'lhc']] | [-0.16175697417929769, 0.177250233244869, -0.03382356408486415, 0.16697561800521746, -0.07793970802913974, -0.1645165729032976, 0.015847885731366997, 0.31819850307878816, -0.2117952014963153, -0.31213769980109807, 0.08702301280442207, -0.2733617706637662, -0.1916242182840792, 0.12082222654494677, -0.010722930459410286, 0.028997072099781272, -0.019836428345003154, 0.02243916815397947, -0.09498753786097501, -0.2805047692976934, 0.31104693875198114, -0.0023111912207364033, 0.21011427650228143, 0.0836238793432294, 0.08373767128632811, -0.02275566097997715, -0.054640522917334955, -0.029456618431488116, -0.15216002998392233, 0.1316913366317749, 0.22285403096644546, 0.07602415692317561, 0.08158373648792588, -0.47421035932356054, -0.21561475115399178, 0.11885287341651286, 0.15444574942236788, 0.16617773857956564, -0.047521338212105, -0.2886129039538543, 0.07131856146237153, -0.20192433865426967, -0.11802571057211189, -0.1452328458564419, -0.038193521726866034, -0.04334439387743811, -0.28063305016159695, 0.05635182589313455, -0.00483356039510684, 0.05757371488215632, -0.05615793619817646, -0.15322977181110697, 0.00028326011163423237, 0.09124803310260177, 0.14919645033562243, -0.062196064146570446, 0.053104083168874966, -0.20989122385096348, -0.1814007641475522, 0.3790937984215744, -0.07481030532776305, -0.22735040636440174, 0.1999047968871473, -0.1183743870719349, -0.22993083375494985, 0.060111529781127326, 0.17967731494121672, 0.11020793638118867, -0.17415973687547082, 0.1782434779733388, -0.03608276158717744, 0.06189518314106076, 0.05942342111715273, 0.08984822537122147, 0.24915782347572654, 0.06702661444171426, -0.018964676585393758, 0.14245780181594905, -0.008238874098516247, -0.08854545527817996, -0.44045066523752857, -0.12286696135160628, -0.052818953167526786, 0.026620205115066485, -0.15545102177934036, -0.1410557022108958, 0.39041262500908935, 0.18170958981728913, 0.19709974978893494, 0.038134403193233475, 0.2155814544622148, 0.10460796563498927, 0.12690004601739766, 0.011839396152854635, 0.25484847608532524, 0.12463387802081036, 0.062259601826748154, -0.18003835587950653, -0.05960341946881139, 0.13798752139856138] |
711.3425 | Achieving the Neel state in an optical lattice | We theoretically study the possibility of reaching the antiferromagnetic
phase of the Hubbard model by starting from a normal gas of trapped fermionic
atoms and adiabatically ramping up an optical lattice. Requirements on the
initial temperature and the number of atoms are determined for a three
dimensional square lattice by evaluating the Neel state entropy, taking into
account fluctuations around the mean-field solution. We find that these
fluctuations place important limitations on adiabatically reaching the Neel
state.
| cond-mat.stat-mech | we theoretically study the possibility of reaching the antiferromagnetic phase of the hubbard model by starting from a normal gas of trapped fermionic atoms and adiabatically ramping up an optical lattice requirements on the initial temperature and the number of atoms are determined for a three dimensional square lattice by evaluating the neel state entropy taking into account fluctuations around the meanfield solution we find that these fluctuations place important limitations on adiabatically reaching the neel state | [['we', 'theoretically', 'study', 'the', 'possibility', 'of', 'reaching', 'the', 'antiferromagnetic', 'phase', 'of', 'the', 'hubbard', 'model', 'by', 'starting', 'from', 'a', 'normal', 'gas', 'of', 'trapped', 'fermionic', 'atoms', 'and', 'adiabatically', 'ramping', 'up', 'an', 'optical', 'lattice', 'requirements', 'on', 'the', 'initial', 'temperature', 'and', 'the', 'number', 'of', 'atoms', 'are', 'determined', 'for', 'a', 'three', 'dimensional', 'square', 'lattice', 'by', 'evaluating', 'the', 'neel', 'state', 'entropy', 'taking', 'into', 'account', 'fluctuations', 'around', 'the', 'meanfield', 'solution', 'we', 'find', 'that', 'these', 'fluctuations', 'place', 'important', 'limitations', 'on', 'adiabatically', 'reaching', 'the', 'neel', 'state']] | [-0.1452280461686881, 0.26176405392829843, -0.02409622956115704, 0.007335336443472219, 0.04512532076468788, -0.12196549059605444, 0.1432683678561604, 0.3678728810136581, -0.24868393807925962, -0.26479992130166524, 0.09112075670900477, -0.30692505907847895, -0.007807729354539475, 0.1443450175340638, 0.10700743904113527, 0.02490767181016408, 0.003146282227879221, 0.014139855322851376, -0.11372682368745665, -0.28122925852703584, 0.29841604226498636, 0.0017938782376321879, 0.28824536453980903, 0.05331904432954049, 0.1095986415861876, 0.0020987717071910958, 0.1209766740439, 0.021968351495633653, -0.1721660177766341, 0.05474321621881387, 0.1656613073299651, -0.02149282434544006, 0.23450527078919597, -0.4826029363971252, -0.20819471261234251, 0.06910673767787875, 0.1475732142541122, 0.17754336389676703, -0.01049376317668803, -0.34028978413575656, -0.053473810991877084, -0.18338053903917406, -0.15856839247220256, -0.14880873414070964, -0.012437066111665267, 0.0003313046196693337, -0.21747751826686518, 0.08883294803029917, 0.08070260819725016, 0.07920500881631266, -0.11707904066757432, -0.13014825685070708, -0.06919027984069732, 0.07508805289550068, 0.001113326250962526, 0.03577254350635816, 0.1499883930978226, -0.14535069319409358, -0.06017735808507189, 0.3752155995794705, -0.06542666574528852, -0.07616107165322082, 0.13862917044913614, -0.1482198468633238, -0.04066700691526586, 0.16137529209455742, 0.1324821517306876, 0.014145433255652715, -0.12091134587762417, 0.09370647976930895, 0.0021620308466304044, 0.16112328910982454, 0.0330278011486418, 0.02596334448422898, 0.3145143853669817, 0.19183476016457593, 0.06145376393075597, 0.2151901342863725, -0.11486330963429306, -0.17613897710288692, -0.26826696147440704, -0.11099452129867557, -0.24319784308771614, 0.07166926271294231, -0.10146338319813746, -0.1362621346125742, 0.39393567258806583, 0.19324947165116643, 0.18303592680868777, -0.023935617407324253, 0.26380072355076867, 0.13413772416942113, 0.003950012521213526, 0.07417534422371294, 0.2513583262682312, 0.14598897922264, 0.06360795792772786, -0.30320826125355416, -0.0186805158623724, 0.08126686806730055] |
711.3426 | Stages of Homogeneous Nucleation in Solid Isotopic Helium Mixtures | We have made pressure and NMR measurements during the evolution of phase
separation in solid helium isotopic mixtures. Our observations indicate clearly
all three stages of the homogeneous nucleation - growth process: 1) creation of
nucleation sites; 2) growth of the new-phase component at these nucleation
sites; and 3) coarsening: the dissolution of sub-critical droplets with the
consequent further late-stage growth of the super-critical droplets. The time
exponent for the coarsening, a = 1/3, is consistent with the conserved order
parameter Lifshitz-Slezov evaporation-condensation mechanism.
| cond-mat.other | we have made pressure and nmr measurements during the evolution of phase separation in solid helium isotopic mixtures our observations indicate clearly all three stages of the homogeneous nucleation growth process 1 creation of nucleation sites 2 growth of the newphase component at these nucleation sites and 3 coarsening the dissolution of subcritical droplets with the consequent further latestage growth of the supercritical droplets the time exponent for the coarsening a 13 is consistent with the conserved order parameter lifshitzslezov evaporationcondensation mechanism | [['we', 'have', 'made', 'pressure', 'and', 'nmr', 'measurements', 'during', 'the', 'evolution', 'of', 'phase', 'separation', 'in', 'solid', 'helium', 'isotopic', 'mixtures', 'our', 'observations', 'indicate', 'clearly', 'all', 'three', 'stages', 'of', 'the', 'homogeneous', 'nucleation', 'growth', 'process', '1', 'creation', 'of', 'nucleation', 'sites', '2', 'growth', 'of', 'the', 'newphase', 'component', 'at', 'these', 'nucleation', 'sites', 'and', '3', 'coarsening', 'the', 'dissolution', 'of', 'subcritical', 'droplets', 'with', 'the', 'consequent', 'further', 'latestage', 'growth', 'of', 'the', 'supercritical', 'droplets', 'the', 'time', 'exponent', 'for', 'the', 'coarsening', 'a', '13', 'is', 'consistent', 'with', 'the', 'conserved', 'order', 'parameter', 'lifshitzslezov', 'evaporationcondensation', 'mechanism']] | [-0.09620626151193808, 0.2844671032701929, -0.09307730105349127, -0.021385319106151275, 0.03526408722218885, -0.07191195309645047, 0.046340568077371073, 0.31694238801360314, -0.24900048759616453, -0.2644227589538068, 0.1323951574281019, -0.27206116780224776, -0.051560082403873955, 0.10540195287745675, 0.09567819787534299, 0.015427415385658358, 0.023120508034840042, -0.05031577059654174, -0.009499017890818693, -0.2975464713771218, 0.3248581285300998, 0.04949436763899378, 0.3034753392186062, 0.05699935910740384, 0.03672202009086808, -0.07762213852141558, -0.0029032190594776176, -0.021923996726579874, -0.26423635409662016, -0.001623692948523518, 0.19038395667563618, 0.025276843504405316, 0.18426449570436904, -0.4668276272484182, -0.24109748491074567, 0.0733667001491815, 0.1758354317948774, 0.11475867967201787, -0.10435201140856486, -0.19205909628811993, 0.011331127761046828, -0.13200048497521583, -0.15824956078574393, 0.01320811472746923, 0.052537063901301154, 0.04993728073356949, -0.2711909155786773, 0.18378021770421368, 0.08853028641070848, 0.05693746159244099, -0.16248162250023013, -0.07993685851954384, -0.0742693888914576, 0.08045204888086444, 0.03002464799979345, 0.014836821710851825, 0.22111208771964835, -0.12147857839770523, -0.09374379028600675, 0.3391093988385465, -0.004786467543274256, -0.07347832206222746, 0.2598657295751719, -0.2233447038833006, -0.1460571691715791, 0.23280736265910995, 0.12695517374869483, 0.0923351684562218, -0.0691250014912199, -0.024303688628909487, 0.10149307146576451, 0.1893039641464934, 0.11377110791013197, -0.08871598671086961, 0.2095020916542889, 0.28805046443494015, -0.01480155644857865, 0.11709827860748326, -0.13499147639563883, -0.1533551866384108, -0.2781743447434295, -0.20901307964950433, -0.1448407269982667, 0.04358573690528211, -0.20328041288482865, -0.15418698704790001, 0.31515327415911965, 0.06495418223655886, 0.1924967881551524, 0.011332594401513537, 0.1846736340099417, 0.020473615042175406, 0.05282472625926689, 0.030111088124276313, 0.2219865786272423, 0.12415243625456904, 0.15571404372652373, -0.2968221898190677, 0.16730281623241341, 0.032349856932544045] |
711.3427 | Spin dynamics triggered by sub-terahertz magnetic field pulses | Current pulses of up to 20 A and as short as 3 ps are generated by a low
temperature grown GaAs (lt-GaAs) photoconductive switch and guided through a
coplanar waveguide, resulting in a 0.6 Tesla terahertz (THz) magnetic field
pulse. The pulse length is directly calibrated using photocurrent
autocorrelation. Magnetic excitations in Fe microstructures are studied by
time-resolved Kerr spectroscopy and compared with micromagnetic simulations. A
response within less than 10 ps to the THz electromagnetic field pulse is
found.
| cond-mat.other | current pulses of up to 20 a and as short as 3 ps are generated by a low temperature grown gaas ltgaas photoconductive switch and guided through a coplanar waveguide resulting in a 06 tesla terahertz thz magnetic field pulse the pulse length is directly calibrated using photocurrent autocorrelation magnetic excitations in fe microstructures are studied by timeresolved kerr spectroscopy and compared with micromagnetic simulations a response within less than 10 ps to the thz electromagnetic field pulse is found | [['current', 'pulses', 'of', 'up', 'to', '20', 'a', 'and', 'as', 'short', 'as', '3', 'ps', 'are', 'generated', 'by', 'a', 'low', 'temperature', 'grown', 'gaas', 'ltgaas', 'photoconductive', 'switch', 'and', 'guided', 'through', 'a', 'coplanar', 'waveguide', 'resulting', 'in', 'a', '06', 'tesla', 'terahertz', 'thz', 'magnetic', 'field', 'pulse', 'the', 'pulse', 'length', 'is', 'directly', 'calibrated', 'using', 'photocurrent', 'autocorrelation', 'magnetic', 'excitations', 'in', 'fe', 'microstructures', 'are', 'studied', 'by', 'timeresolved', 'kerr', 'spectroscopy', 'and', 'compared', 'with', 'micromagnetic', 'simulations', 'a', 'response', 'within', 'less', 'than', '10', 'ps', 'to', 'the', 'thz', 'electromagnetic', 'field', 'pulse', 'is', 'found']] | [-0.135663226724284, 0.24166952107761858, 0.002405925382730327, -0.005391971228785718, -0.02746295297365117, -0.1497478867008622, 0.005025023523765274, 0.5592372176013415, -0.21972190739610528, -0.3519889669657885, 0.03524773528716892, -0.2747702898569641, -0.03760423122233228, 0.3192856229983176, 0.07245394943836087, 0.03883892474578151, -0.025383706033654228, -0.08213212769301727, -0.060798447001489654, -0.1370637906019729, 0.15331789087268372, 0.07420660057576679, 0.2892223999694084, 0.004654693915331854, 0.0886902266441361, -0.021531352914775474, 0.0863505420333977, 0.004755593688946359, -0.09827238712106136, 0.02220927391059791, 0.2542497012852632, -0.08903904138073986, 0.23147476386113824, -0.4541820347709935, -0.24000475922219244, -0.07171715767700461, 0.15670485656614166, 0.11896097302861229, -0.08915002609874252, -0.2718454574977484, 0.13133229257515336, -0.10808423782191888, -0.06204891573826346, -0.009871032808117474, 0.002717423585797601, 0.07703566563439473, -0.258413972839996, 0.05206403812935835, -0.01918023607776135, 0.12984153523649195, -0.047793536199421824, -0.03831426351319386, -0.04218100743439002, -0.026974417426906337, 0.013166353922879582, 0.1295863554247101, 0.2537495432350832, -0.080391505662399, -0.15723128448670753, 0.3337878396239462, -0.12278972422100656, -0.05219196886578693, 0.06798601610279537, -0.22730400072575746, 0.09565107057554813, 0.26803449615600367, 0.11267581253822398, 0.1703589623970793, -0.15958665486401583, -0.009642703059686442, 0.06407813936519095, 0.3261933557812973, 0.170418885881317, 0.08057287373120271, 0.24131928141452844, 0.22353227997988556, -0.038882620348241415, 0.14651209622020303, -0.1738204363957519, 0.03350703840002512, -0.18718185183839708, -0.08860367742260988, -0.219686146271474, 0.14395830901693316, -0.06048782838912256, -0.13158473923295452, 0.46234003433226784, 0.1382068420990217, 0.09846419528055983, -0.009982631624310831, 0.32866281730747676, 0.13537863871566008, 0.08830804717903838, 0.019993220338055603, 0.29011323165054187, 0.2390175527565865, 0.16463334908520308, -0.24916796882554323, -0.05083266474141539, -0.10108525425054227] |
711.3428 | Absorption free superluminal light propagation in a three level
pump-probe system | We investigate the dispersion and the absorption properties of a weak probe
field in a three-level pump-probe atomic system. It is shown that the slope of
dispersion changes from positive to negative just with the intensity of the
coherent or indirect incoherent pumping fields. It is demonstrated that the
absorption free superluminal light propagation is appeared in this system.
| quant-ph | we investigate the dispersion and the absorption properties of a weak probe field in a threelevel pumpprobe atomic system it is shown that the slope of dispersion changes from positive to negative just with the intensity of the coherent or indirect incoherent pumping fields it is demonstrated that the absorption free superluminal light propagation is appeared in this system | [['we', 'investigate', 'the', 'dispersion', 'and', 'the', 'absorption', 'properties', 'of', 'a', 'weak', 'probe', 'field', 'in', 'a', 'threelevel', 'pumpprobe', 'atomic', 'system', 'it', 'is', 'shown', 'that', 'the', 'slope', 'of', 'dispersion', 'changes', 'from', 'positive', 'to', 'negative', 'just', 'with', 'the', 'intensity', 'of', 'the', 'coherent', 'or', 'indirect', 'incoherent', 'pumping', 'fields', 'it', 'is', 'demonstrated', 'that', 'the', 'absorption', 'free', 'superluminal', 'light', 'propagation', 'is', 'appeared', 'in', 'this', 'system']] | [-0.16309370347338145, 0.1757214001016849, -0.09028845877875968, 0.06884655997678006, -0.05047803334260391, -0.1419294589846316, 0.006228285267089802, 0.4346590155135777, -0.3118095533622397, -0.2492221956125508, 0.012304807654029484, -0.27790866195524144, -0.1271700665346836, 0.2039248611485996, 0.02121936236271414, 0.02810714681439449, -0.007249466285614644, 0.020630970526234072, -0.002674901281814959, -0.15117361789600828, 0.3239218565966871, 0.029780498437457167, 0.3044951581632939, 0.06490259736744781, 0.11760045007123786, 0.022148969638461278, 0.007952990041951002, 0.02793454498810283, -0.07125940974540337, 0.08958145424290027, 0.18933719207169647, 0.03568824560192051, 0.23487622797552307, -0.3475827789723368, -0.2751619790412359, 0.07416735837330758, 0.12440342539023624, 0.16788135661538375, -0.08081858076344607, -0.30095161162948203, -0.010014196652603351, -0.10652444356168478, -0.15326945521568847, -0.009777212262911311, 0.04041450557701479, 0.028592670367935957, -0.2336075329458562, 0.07855812802721383, 0.03992493693929923, 0.05610033863429296, -0.04932634069947368, -0.015804402352610634, -0.04654882942578929, 0.05833574937325034, 0.04018352769899292, -0.014889395130814005, 0.15302472477147389, -0.14467065575753607, -0.059035558221956434, 0.3759582184602396, -0.15611419772287294, -0.08714030600957952, 0.18565737036198882, -0.20773041327395161, -0.025551639347321402, 0.19049859222940216, 0.11094048999889233, 0.09999035197799488, -0.10661128005486424, 0.0485597303190458, -0.0676219124047054, 0.24794946140530755, 0.09842154217915515, 0.09018435305521144, 0.19278326892625477, 0.12589387608281635, 0.05773976907702321, 0.11117837836145092, -0.11439881751597938, -0.027053156851838202, -0.28661865446621837, -0.16199131208961293, -0.14687403755546627, 0.1014768312353704, 0.005385049350680073, -0.16352390450715498, 0.3895480237048814, 0.15208060990513886, 0.1618915225489665, -0.05262572045232785, 0.33213750291931426, 0.2136441997047198, 0.0606058686182408, 0.0365630530799597, 0.36335495783615923, 0.19557606385452514, 0.11098130246213937, -0.30940679780018154, 0.04559142155951615, -0.048805680757356903] |
711.3429 | Quantum anharmonic oscillator and its statistical properties in the
first quantization scheme | A family of quantum anharmonic oscillators is studied in any finite spatial
dimension in the scheme of first quantization and the investigation of their
eigenenergies is presented. The statistical properties of the calculated
eigenenergies are compared with the theoretical predictions inferred from the
Random Matrix theory. Conclusions are derived.
| cond-mat.stat-mech | a family of quantum anharmonic oscillators is studied in any finite spatial dimension in the scheme of first quantization and the investigation of their eigenenergies is presented the statistical properties of the calculated eigenenergies are compared with the theoretical predictions inferred from the random matrix theory conclusions are derived | [['a', 'family', 'of', 'quantum', 'anharmonic', 'oscillators', 'is', 'studied', 'in', 'any', 'finite', 'spatial', 'dimension', 'in', 'the', 'scheme', 'of', 'first', 'quantization', 'and', 'the', 'investigation', 'of', 'their', 'eigenenergies', 'is', 'presented', 'the', 'statistical', 'properties', 'of', 'the', 'calculated', 'eigenenergies', 'are', 'compared', 'with', 'the', 'theoretical', 'predictions', 'inferred', 'from', 'the', 'random', 'matrix', 'theory', 'conclusions', 'are', 'derived']] | [-0.11482529078933354, 0.13365944235452584, -0.0827003111872746, 0.035943672065718135, 0.017577882485502228, -0.13229452270292202, 0.019324001459385818, 0.37412124731558927, -0.2155859668416028, -0.24025513357197753, 0.02467979304017309, -0.2906755572374986, -0.1453992519242575, 0.19910539950871345, -0.002057207311142464, 0.09751302913919434, 0.07295246873221987, 0.07702736740893855, -0.10719198519744132, -0.21832386259825862, 0.25752496872363345, 0.04091022407626543, 0.2887299769196887, 0.0068423653363573304, 0.05300583612477901, -0.03496722434172217, -0.0585503913462162, 0.014721069351903029, -0.15648155113948242, 0.15944785495497743, 0.23537358770869216, 0.04922903164964625, 0.2239647229411164, -0.3830536018524851, -0.24765073331262993, 0.04119164625221949, 0.11362154135594563, 0.17206795038465333, -0.01610994243956342, -0.3004518772418402, 0.10975933603334184, -0.14830076726799718, -0.15940994123110966, -0.08267972989444983, -0.015102569669561118, 0.0407557624263917, -0.23419202571468695, 0.07150778995959886, 0.03895289967862927, 0.09089748074813765, -0.07654872361798676, -0.16009512224367686, -0.03688027090107908, 0.12148693453625073, 0.01929518803170103, -0.06326286424407546, 0.10329083569956068, -0.06796622789483897, -0.11493844295642813, 0.4305587652441095, -0.028359810384560605, -0.21971949212709252, 0.12619076978548296, -0.16129081643053464, -0.1175222424980329, 0.10670260388442145, 0.12089340347910718, 0.09564731942907888, -0.14879667395915913, 0.13123289237098237, -0.0015112500713796032, 0.12925879111304422, 0.025590025211627385, 0.07743401050909746, 0.1231721068485355, 0.11261904878275734, -0.04224538400161023, 0.12688656333757906, -0.042366446509044996, -0.19613881701869623, -0.3047955309097864, -0.07915410256887577, -0.2766992641726927, 0.06862037564266701, -0.14962497775945385, -0.1694195136351853, 0.4015510683354051, 0.12028252715434955, 0.20270096389006595, 0.06306073042963233, 0.25511129641411256, 0.20561664244540187, 0.0037241070673858026, 0.015751081409541016, 0.2621053603990954, 0.2793635162429846, 0.018378918781420405, -0.25491992764802157, 0.04121227045448459, 0.08813729182798036] |
711.343 | Radford, Drinfeld, and Cardy boundary states in (1,p) logarithmic
conformal field models | We introduce p-1 pseudocharacters in the space of (1,p) model vacuum torus
amplitudes to complete the distinguished basis in the 2p-dimensional fusion
algebra to a basis in the whole (3p-1)-dimensional space of torus amplitudes,
and the structure constants in this basis are integer numbers. We obtain a
generalized Verlinde-formula that gives these structure constants. In the
context of theories with boundaries, we identify the space of vacuum torus
amplitudes with the space of Ishibashi states. Then, we propose 3p-1 boundary
states satisfying the Cardy condition.
| hep-th math.QA | we introduce p1 pseudocharacters in the space of 1p model vacuum torus amplitudes to complete the distinguished basis in the 2pdimensional fusion algebra to a basis in the whole 3p1dimensional space of torus amplitudes and the structure constants in this basis are integer numbers we obtain a generalized verlindeformula that gives these structure constants in the context of theories with boundaries we identify the space of vacuum torus amplitudes with the space of ishibashi states then we propose 3p1 boundary states satisfying the cardy condition | [['we', 'introduce', 'p1', 'pseudocharacters', 'in', 'the', 'space', 'of', '1p', 'model', 'vacuum', 'torus', 'amplitudes', 'to', 'complete', 'the', 'distinguished', 'basis', 'in', 'the', '2pdimensional', 'fusion', 'algebra', 'to', 'a', 'basis', 'in', 'the', 'whole', '3p1dimensional', 'space', 'of', 'torus', 'amplitudes', 'and', 'the', 'structure', 'constants', 'in', 'this', 'basis', 'are', 'integer', 'numbers', 'we', 'obtain', 'a', 'generalized', 'verlindeformula', 'that', 'gives', 'these', 'structure', 'constants', 'in', 'the', 'context', 'of', 'theories', 'with', 'boundaries', 'we', 'identify', 'the', 'space', 'of', 'vacuum', 'torus', 'amplitudes', 'with', 'the', 'space', 'of', 'ishibashi', 'states', 'then', 'we', 'propose', '3p1', 'boundary', 'states', 'satisfying', 'the', 'cardy', 'condition']] | [-0.18845072237168808, 0.1693888720663556, -0.0938058256771954, 0.06292747332944523, -0.048023502140429365, -0.0919396437435265, 0.04965102462748806, 0.3493335155927273, -0.26132213927984954, -0.1992132006302835, 0.07392908872739154, -0.18538697136296745, -0.1247743405065084, 0.10959327942130706, -0.0535164844519627, 0.034482118589466954, 0.028417517302041673, 0.052638725231749464, -0.11246754186149373, -0.21337716719303954, 0.40572835342307767, -0.022636104112838853, 0.23610766218548798, 0.004270746237991086, 0.0673067741606564, 0.012301916307040367, 0.024157159652488016, -0.028568421211374182, -0.2024960751083002, 0.1592584273235098, 0.23133844246033086, 0.10717960265296769, 0.1663266823021134, -0.40808870041944895, -0.17553158458434495, 0.10888113458472562, 0.10186109878561117, 0.10549879187706813, 0.056601759887872694, -0.27825730416856437, 0.04364000593525279, -0.14040396299706884, -0.19279464380535105, -0.10964907297348402, 0.048743373815374205, -0.06545082117284996, -0.29282245929324885, 0.04037831885549408, -0.0037178616207766244, 0.020105941221117973, -0.14103969964703703, -0.11572213286915457, -0.07378557355266559, 0.09498353191393327, -0.004286042348683688, 0.058332865277911164, 0.05921704530805708, -0.12069046798902731, -0.1398533225474677, 0.3608960855488542, -0.06826603125937912, -0.25647193140698127, 0.10399534928062594, -0.2350768674815814, -0.16262827017512846, 0.1137105427760945, 0.1051315458334354, 0.12262751873447952, -0.04621000726621721, 0.18205516913229688, -0.08534438565726875, 0.10822523196777666, 0.09164683337334588, 0.07700824190537076, 0.15321821925869908, 0.06803023723144848, 0.013090612692197403, 0.17909841991242875, -0.04695403461726046, -0.08243722507887218, -0.4030362307486764, -0.1775899368888104, -0.12030941748385687, 0.06112501764928092, -0.07813741829430723, -0.18506923680339593, 0.3726316449759775, 0.0751986954563174, 0.24812447730766005, 0.047675203718876194, 0.1846151899950332, 0.11629765851041639, 0.055080635652664196, 0.08074325273733542, 0.19561992669253644, 0.15328913098986607, 0.031176972427371753, -0.18817544633702163, -0.057696211853075816, 0.19523255003010292] |
711.3431 | How to fix a broken symmetry: Quantum dynamics of symmetry restoration
in a ferromagnetic Bose-Einstein condensate | We discuss the dynamics of a quantum phase transition in a spin-1
Bose-Einstein condensate when it is driven from the magnetized
broken-symmetry phase to the unmagnetized ``symmetric'' polar phase. We
determine where the condensate goes out of equilibrium as it approaches the
critical point, and compute the condensate magnetization at the critical point.
This is done within a quantum Kibble-Zurek scheme traditionally employed in the
context of symmetry-breaking quantum phase transitions. Then we study the
influence of the nonequilibrium dynamics near a critical point on the
condensate magnetization. In particular, when the quench stops at the critical
point, nonlinear oscillations of magnetization occur. They are characterized by
a period and an amplitude that are inversely proportional. If we keep driving
the condensate far away from the critical point through the unmagnetized
``symmetric'' polar phase, the amplitude of magnetization oscillations slowly
decreases reaching a non-zero asymptotic value. That process is described by
the equation that can be mapped onto the classical mechanical problem of a
particle moving under the influence of harmonic and ``anti-friction'' forces
whose interplay leads to surprisingly simple fixed-amplitude oscillations. We
obtain several scaling results relating the condensate magnetization to the
quench rate, and verify numerically all analytical predictions.
| cond-mat.other hep-th quant-ph | we discuss the dynamics of a quantum phase transition in a spin1 boseeinstein condensate when it is driven from the magnetized brokensymmetry phase to the unmagnetized symmetric polar phase we determine where the condensate goes out of equilibrium as it approaches the critical point and compute the condensate magnetization at the critical point this is done within a quantum kibblezurek scheme traditionally employed in the context of symmetrybreaking quantum phase transitions then we study the influence of the nonequilibrium dynamics near a critical point on the condensate magnetization in particular when the quench stops at the critical point nonlinear oscillations of magnetization occur they are characterized by a period and an amplitude that are inversely proportional if we keep driving the condensate far away from the critical point through the unmagnetized symmetric polar phase the amplitude of magnetization oscillations slowly decreases reaching a nonzero asymptotic value that process is described by the equation that can be mapped onto the classical mechanical problem of a particle moving under the influence of harmonic and antifriction forces whose interplay leads to surprisingly simple fixedamplitude oscillations we obtain several scaling results relating the condensate magnetization to the quench rate and verify numerically all analytical predictions | [['we', 'discuss', 'the', 'dynamics', 'of', 'a', 'quantum', 'phase', 'transition', 'in', 'a', 'spin1', 'boseeinstein', 'condensate', 'when', 'it', 'is', 'driven', 'from', 'the', 'magnetized', 'brokensymmetry', 'phase', 'to', 'the', 'unmagnetized', 'symmetric', 'polar', 'phase', 'we', 'determine', 'where', 'the', 'condensate', 'goes', 'out', 'of', 'equilibrium', 'as', 'it', 'approaches', 'the', 'critical', 'point', 'and', 'compute', 'the', 'condensate', 'magnetization', 'at', 'the', 'critical', 'point', 'this', 'is', 'done', 'within', 'a', 'quantum', 'kibblezurek', 'scheme', 'traditionally', 'employed', 'in', 'the', 'context', 'of', 'symmetrybreaking', 'quantum', 'phase', 'transitions', 'then', 'we', 'study', 'the', 'influence', 'of', 'the', 'nonequilibrium', 'dynamics', 'near', 'a', 'critical', 'point', 'on', 'the', 'condensate', 'magnetization', 'in', 'particular', 'when', 'the', 'quench', 'stops', 'at', 'the', 'critical', 'point', 'nonlinear', 'oscillations', 'of', 'magnetization', 'occur', 'they', 'are', 'characterized', 'by', 'a', 'period', 'and', 'an', 'amplitude', 'that', 'are', 'inversely', 'proportional', 'if', 'we', 'keep', 'driving', 'the', 'condensate', 'far', 'away', 'from', 'the', 'critical', 'point', 'through', 'the', 'unmagnetized', 'symmetric', 'polar', 'phase', 'the', 'amplitude', 'of', 'magnetization', 'oscillations', 'slowly', 'decreases', 'reaching', 'a', 'nonzero', 'asymptotic', 'value', 'that', 'process', 'is', 'described', 'by', 'the', 'equation', 'that', 'can', 'be', 'mapped', 'onto', 'the', 'classical', 'mechanical', 'problem', 'of', 'a', 'particle', 'moving', 'under', 'the', 'influence', 'of', 'harmonic', 'and', 'antifriction', 'forces', 'whose', 'interplay', 'leads', 'to', 'surprisingly', 'simple', 'fixedamplitude', 'oscillations', 'we', 'obtain', 'several', 'scaling', 'results', 'relating', 'the', 'condensate', 'magnetization', 'to', 'the', 'quench', 'rate', 'and', 'verify', 'numerically', 'all', 'analytical', 'predictions']] | [-0.16964363584294914, 0.2461462262931309, -0.10618146418826654, 0.04543754082556006, -0.0036439698084723203, -0.13833070623921231, 0.09225849904949428, 0.3188861712813377, -0.2737822210229933, -0.2059053089795634, 0.09024752208439167, -0.2799372703721747, -0.1319537096726708, 0.17658770967798773, 0.04864127404871397, 0.04387700065271929, -0.019814204699359836, 0.05692777895077597, -0.08756908338691574, -0.19465109792537988, 0.3349063106521498, 0.009974722286569886, 0.29739491297863424, 0.040445766948105304, 0.06770811620754102, -0.0247393705991999, 0.08287784445608849, 0.019094718652777374, -0.17891622511455352, -0.0540515256737126, 0.19396263197937513, -0.007891700812615454, 0.2218342200294137, -0.43791600371710954, -0.1847893571574241, 0.12065961934509688, 0.17893106525414623, 0.17066473446437158, -0.034624130980228075, -0.27750670245848597, 0.020498612131923437, -0.13438977605546826, -0.21014776228927076, -0.0803636974550318, 0.015410903873853386, 0.021851384331239388, -0.25323759851045907, 0.10454748904565349, 0.06211681273765862, 0.04956511525902897, -0.05526829841852304, -0.02653423954732716, -0.04077020606840961, 0.100590603313467, 0.05189732619430288, 0.09855355393374339, 0.19440707054222003, -0.1523699968017172, -0.06376607603975572, 0.3713589058257639, -0.06706778183812276, -0.145936430998845, 0.14278618493233808, -0.18562531459145248, -0.057219710976351056, 0.1660102638695389, 0.13507002148078753, 0.09820856137434021, -0.10655153868559865, 0.05390778322685946, -0.004127813440281898, 0.1438845340804255, 0.060415522042894736, 0.0027977895480580627, 0.2951779742585495, 0.16962542828987354, 0.026485874539939686, 0.19790218847396318, -0.09465709991403855, -0.21492396891582757, -0.28613605867372827, -0.09929043026873842, -0.2030174872704083, 0.06660377853666433, -0.08406024104420794, -0.1584516870776497, 0.3980342482537344, 0.16746340622979916, 0.19593466488644481, -0.012454847297631204, 0.27849116748431696, 0.18782525618968066, 0.0046042462692275875, 0.08077911435859278, 0.29179844830883667, 0.1495423650246812, 0.12074933497002348, -0.3169565092609264, 0.016480237351497635, 0.06547284503933043] |
711.3432 | Quantum anharmonic oscillator and its statistical properties | In the present article a family of quantum anharmonic oscillators is studied
using Hermite's function basis (Fock's basis) in the Hilbert space. The
numerical investigation of the eigenenergies of that family is presented. The
statistical properties of the calculated eigenvalues are compared with the
theoretical predictions derived from the Random Matrix Theory. Conclusions are
inferred.
| cond-mat.stat-mech | in the present article a family of quantum anharmonic oscillators is studied using hermites function basis focks basis in the hilbert space the numerical investigation of the eigenenergies of that family is presented the statistical properties of the calculated eigenvalues are compared with the theoretical predictions derived from the random matrix theory conclusions are inferred | [['in', 'the', 'present', 'article', 'a', 'family', 'of', 'quantum', 'anharmonic', 'oscillators', 'is', 'studied', 'using', 'hermites', 'function', 'basis', 'focks', 'basis', 'in', 'the', 'hilbert', 'space', 'the', 'numerical', 'investigation', 'of', 'the', 'eigenenergies', 'of', 'that', 'family', 'is', 'presented', 'the', 'statistical', 'properties', 'of', 'the', 'calculated', 'eigenvalues', 'are', 'compared', 'with', 'the', 'theoretical', 'predictions', 'derived', 'from', 'the', 'random', 'matrix', 'theory', 'conclusions', 'are', 'inferred']] | [-0.1060503755357455, 0.09682678678496318, -0.0939457281619649, 0.034262733402746645, -0.012582314827225424, -0.07026607095348564, 0.006056671790693971, 0.3442561610517177, -0.22723897099494933, -0.22563134177841923, 0.05783753638494421, -0.30064982804046436, -0.18368069289929487, 0.2186036405576901, 0.010837119766934352, 0.10893927054818381, 0.1049030701756816, 0.03986810299313881, -0.11432168545116755, -0.19590945128690113, 0.31347722005607054, 0.058337847877886484, 0.26632693319750783, -0.032765953886238014, 0.040213546952740716, -0.019254076717929405, -0.04487273960628293, 0.002935765894786031, -0.1776128112556762, 0.1815646690104834, 0.2527861228509044, 0.09183994461358948, 0.23967481567101045, -0.3999754523011771, -0.21821078560738402, 0.060910844475041484, 0.12104095809838988, 0.10689468556507067, -0.04904018516906283, -0.2874436062506654, 0.036634618755091324, -0.1580941135741093, -0.1748601943762465, -0.11643429275348105, -0.006831668004054915, 0.04617117520802739, -0.24519214675846426, 0.07584156528199938, 0.0024482529271732676, 0.10218216273933649, -0.06163055131381208, -0.18718080324205486, -0.03480914914133874, 0.06583229917186227, 0.0171349108108023, -0.02352994494986805, 0.10319507032294165, -0.03767400522801009, -0.09271589841016314, 0.4040779911383817, -0.05175193417711522, -0.22372346239333804, 0.10306225530379876, -0.16888059816238554, -0.1246490439908071, 0.08324482360516082, 0.11962061437185514, 0.09630211636593396, -0.15904682630842382, 0.14164925504645162, -0.07161914066157558, 0.11646942900578407, 0.010248963213102385, 0.062108286351642825, 0.11880239664830945, 0.11912228048525074, -0.05062562804669142, 0.14588472484187645, -0.0068654968826608225, -0.18920597950504583, -0.33483501530506393, -0.10773501165888526, -0.27696897993710906, 0.05901013161479072, -0.1118319381790405, -0.1869661558419466, 0.42539734117771416, 0.11543062370778485, 0.18915957132862374, 0.08374242271212014, 0.20758595053445209, 0.19573814459991726, -0.014375622585860335, 0.016844150987030432, 0.27549449090253225, 0.24059551307846877, 0.006543485193767331, -0.2165200635494495, 0.03782339085909453, 0.12826282659714872] |
711.3433 | On q-analogs of weight multiplicities for the Lie superalgebras gl(n,m)
and spo(2n,M) | The paper is devoted to the generalization of Lusztig's q-analog of weight
multiplicities to the Lie superalgebras gl(n,m) and spo(2n,M). We define such
q-analogs K_{lambda,mu}(q) for the typical modules and for the irreducible
covariant tensor gl(n,m)-modules of highest weight lambda. For gl(n,m), the
defined polynomials have nonnegative integer coefficients if the weight mu is
dominant. For spo(2n,M), we show that the positivity property holds when mu is
dominant and sufficiently far from a specific wall of the fundamental chamber.
We also establish that the q-analog associated to an irreducible covariant
tensor gl(n,m)-module of highest weight lambda and a dominant weight mu is the
generating series of a simple statistic on the set of semistandard
hook-tableaux of shape lambda and weight mu. This statistic can be regarded as
a super analog of the charge statistic defined by Lascoux and Schutzenberger.
| math.RT math.QA | the paper is devoted to the generalization of lusztigs qanalog of weight multiplicities to the lie superalgebras glnm and spo2nm we define such qanalogs k_lambdamuq for the typical modules and for the irreducible covariant tensor glnmmodules of highest weight lambda for glnm the defined polynomials have nonnegative integer coefficients if the weight mu is dominant for spo2nm we show that the positivity property holds when mu is dominant and sufficiently far from a specific wall of the fundamental chamber we also establish that the qanalog associated to an irreducible covariant tensor glnmmodule of highest weight lambda and a dominant weight mu is the generating series of a simple statistic on the set of semistandard hooktableaux of shape lambda and weight mu this statistic can be regarded as a super analog of the charge statistic defined by lascoux and schutzenberger | [['the', 'paper', 'is', 'devoted', 'to', 'the', 'generalization', 'of', 'lusztigs', 'qanalog', 'of', 'weight', 'multiplicities', 'to', 'the', 'lie', 'superalgebras', 'glnm', 'and', 'spo2nm', 'we', 'define', 'such', 'qanalogs', 'k_lambdamuq', 'for', 'the', 'typical', 'modules', 'and', 'for', 'the', 'irreducible', 'covariant', 'tensor', 'glnmmodules', 'of', 'highest', 'weight', 'lambda', 'for', 'glnm', 'the', 'defined', 'polynomials', 'have', 'nonnegative', 'integer', 'coefficients', 'if', 'the', 'weight', 'mu', 'is', 'dominant', 'for', 'spo2nm', 'we', 'show', 'that', 'the', 'positivity', 'property', 'holds', 'when', 'mu', 'is', 'dominant', 'and', 'sufficiently', 'far', 'from', 'a', 'specific', 'wall', 'of', 'the', 'fundamental', 'chamber', 'we', 'also', 'establish', 'that', 'the', 'qanalog', 'associated', 'to', 'an', 'irreducible', 'covariant', 'tensor', 'glnmmodule', 'of', 'highest', 'weight', 'lambda', 'and', 'a', 'dominant', 'weight', 'mu', 'is', 'the', 'generating', 'series', 'of', 'a', 'simple', 'statistic', 'on', 'the', 'set', 'of', 'semistandard', 'hooktableaux', 'of', 'shape', 'lambda', 'and', 'weight', 'mu', 'this', 'statistic', 'can', 'be', 'regarded', 'as', 'a', 'super', 'analog', 'of', 'the', 'charge', 'statistic', 'defined', 'by', 'lascoux', 'and', 'schutzenberger']] | [-0.14944905660770558, 0.11542896261121818, -0.07389499239830508, 0.05496713088187217, -0.12074762828372143, -0.12662310247412986, -0.006236897456390714, 0.32890969388428387, -0.3254577041776092, -0.16924961881746572, 0.060108857105175655, -0.2284513279588686, -0.14790636734278115, 0.1617447013837389, -0.07264927989561801, 0.020964206085988767, 0.03494450214698359, 0.11850816441216955, -0.06565950963025292, -0.22544217308362324, 0.3848720265966323, 0.08376566058248971, 0.22956754916382058, 0.0510112763227274, 0.1488270584355902, 0.011839444837877872, -0.026290016045310984, -0.03919835274142248, -0.15843017659790348, 0.11399796961944689, 0.2682337939678864, 0.1030021397707363, 0.2051572480739129, -0.3000175503117067, -0.07322204154398707, 0.20340759822822832, 0.12532558209021336, -0.006799860001990089, 0.020754817599879096, -0.20084406181273085, 0.15361568806348025, -0.19908742741164234, -0.1622833197035275, -0.06161130534278022, 0.08687793546942649, 0.012522846827697423, -0.3199713056010229, 0.0827024377138716, 0.0900511894185372, 0.06748249389423075, -0.07067315230766932, -0.23851720629673864, -0.025666647561377397, 0.07309379867316844, -0.020133687328133316, 0.03948124806672611, 0.07158709236386197, -0.13977419076383943, -0.11321786172015386, 0.36059085415003617, -0.04730424708169367, -0.254243491700402, 0.10645662311947456, -0.17036922773070357, -0.16707254169784763, 0.08997017370312717, 0.08090414952624728, 0.1199010102664707, -0.0743684177861454, 0.14153160292534503, -0.11135402479709161, 0.05152435067920359, 0.1440624332193423, 0.033855212485003804, 0.17471145819182748, 0.07034393877860297, 0.05820421779493767, 0.17416807187427938, -0.020925441230819734, -0.0024811645486840497, -0.34873981793859493, -0.22574877186281675, -0.20513454085836808, 0.10586594541867574, -0.11368404111794748, -0.17818160402692027, 0.40225498186493364, 0.05768239346205654, 0.2009351294229014, 0.1274874857523375, 0.18009493042438945, 0.16025789670691462, 0.11712531594675965, -0.009048684505331847, 0.11163889654498134, 0.23554771521335674, 0.003860180996168681, -0.1911390240743963, 0.00650930576397244, 0.16961753423567172] |
711.3434 | Accelerated Imaginary-time Evolution Methods for the Computation of
Solitary Waves | Two accelerated imaginary-time evolution methods are proposed for the
computation of solitary waves in arbitrary spatial dimensions. For the first
method (with traditional power normalization), the convergence conditions as
well as conditions for optimal accelerations are derived. In addition, it is
shown that for nodeless solitary waves, this method converges if and only if
the solitary wave is linearly stable. The second method is similar to the first
method except that it uses a novel amplitude normalization. The performance of
these methods is illustrated on various examples. It is found that while the
first method is competitive with the Petviashvili method, the second method
delivers much better performance than the first method and the Petviashvili
method.
| nlin.PS | two accelerated imaginarytime evolution methods are proposed for the computation of solitary waves in arbitrary spatial dimensions for the first method with traditional power normalization the convergence conditions as well as conditions for optimal accelerations are derived in addition it is shown that for nodeless solitary waves this method converges if and only if the solitary wave is linearly stable the second method is similar to the first method except that it uses a novel amplitude normalization the performance of these methods is illustrated on various examples it is found that while the first method is competitive with the petviashvili method the second method delivers much better performance than the first method and the petviashvili method | [['two', 'accelerated', 'imaginarytime', 'evolution', 'methods', 'are', 'proposed', 'for', 'the', 'computation', 'of', 'solitary', 'waves', 'in', 'arbitrary', 'spatial', 'dimensions', 'for', 'the', 'first', 'method', 'with', 'traditional', 'power', 'normalization', 'the', 'convergence', 'conditions', 'as', 'well', 'as', 'conditions', 'for', 'optimal', 'accelerations', 'are', 'derived', 'in', 'addition', 'it', 'is', 'shown', 'that', 'for', 'nodeless', 'solitary', 'waves', 'this', 'method', 'converges', 'if', 'and', 'only', 'if', 'the', 'solitary', 'wave', 'is', 'linearly', 'stable', 'the', 'second', 'method', 'is', 'similar', 'to', 'the', 'first', 'method', 'except', 'that', 'it', 'uses', 'a', 'novel', 'amplitude', 'normalization', 'the', 'performance', 'of', 'these', 'methods', 'is', 'illustrated', 'on', 'various', 'examples', 'it', 'is', 'found', 'that', 'while', 'the', 'first', 'method', 'is', 'competitive', 'with', 'the', 'petviashvili', 'method', 'the', 'second', 'method', 'delivers', 'much', 'better', 'performance', 'than', 'the', 'first', 'method', 'and', 'the', 'petviashvili', 'method']] | [-0.0673493882550874, 0.053030884623977134, -0.12097675740269237, 0.08219854187738182, -0.05494530836786625, -0.1394153649894649, -0.049925137166704596, 0.4057988847991259, -0.22955271270896854, -0.26411531739145644, 0.09957375807551153, -0.24203381857609954, -0.2052698540119936, 0.28240019012772444, -0.0005100868872651862, 0.09672431648028453, 0.09510801471007088, 0.06104721891661656, -0.06768803822543022, -0.2779377879904069, 0.30532399661325177, 0.05392050396667087, 0.345534902748427, 0.012489928944229052, 0.1278364511431548, -0.0687156686928637, 0.01711002284468248, 0.018703192721345817, -0.07041503753856071, 0.09518705100896929, 0.1982126075670059, 0.11370577025207176, 0.29295152813950875, -0.35334356029614294, -0.21758092973573967, 0.0645358440715113, 0.16370374280838937, 0.1516438473381327, -0.036597580316773584, -0.27914151127032677, 0.12399845801651124, -0.13927098068183866, -0.13653174606713883, -0.1315952562887607, 0.002327553526466263, 0.07558099389455586, -0.2837561776957892, 0.12028050427284927, 0.05437814464475478, -0.05061982457269112, -0.08625810954655552, -0.1196553681511432, -0.01745443925931889, 0.07641326337009026, 0.08127645727905349, 0.031019047990537667, 0.03202311224143567, -0.06869949330375048, -0.08244035768263436, 0.4029591275571749, -0.0891431176073795, -0.23799871605146547, 0.1872515974763042, -0.10180360994076934, -0.10154376997500016, 0.1815644167644646, 0.13343728641208646, 0.19587440265278364, -0.113832025483636, 0.03345852447493034, -0.016965739244212807, 0.17126060978926974, 0.09903821418993175, -0.01969389971907668, 0.09646022780236371, 0.2124967947762845, 0.13154625439823703, 0.10269075854488745, -0.07809602905763313, -0.072659451458282, -0.28631415033255353, -0.14246441324739234, -0.2091043200263561, -0.061402595039594575, -0.0817405440809972, -0.14209137836161093, 0.39736178708423314, 0.17853143341550282, 0.1253734427536356, 0.08705507975938762, 0.3853444668488449, 0.16668342951693219, 0.030049210548770196, 0.13354927704444733, 0.2565570094719015, 0.11071329406494725, 0.11119503321342877, -0.22737779555860343, 0.052203270305622496, 0.11686976820808546] |
711.3435 | Quantum Bound on the Specific Entropy in Strong-Coupled Scalar Field
Theory | Using the Euclidean path integral approach with functional methods, we
discuss the $(g_{0} \phi^{p})_{d}$ self-interacting scalar field theory, in the
strong-coupling regime. We assume the presence of macroscopic boundaries
confining the field in a hypercube of side $L$. We also consider that the
system is in thermal equilibrium at temperature $\beta^{-1}$. For spatially
bounded free fields, the Bekenstein bound states that the specific entropy
satisfies the inequality $\frac{S}{E} < 2 \pi R$, where $R$ stands for the
radius of the smallest sphere that circumscribes the system. Employing the
strong-coupling perturbative expansion, we obtain the renormalized mean energy
$E$ and entropy $S$ for the system up to the order $(g_{0})^{-\frac{2}{p}}$,
presenting an analytical proof that the specific entropy also satisfies in some
situations a quantum bound. Defining $\epsilon_d^{(r)}$ as the renormalized
zero-point energy for the free theory per unit length, the dimensionless
quantity $\xi=\frac{\beta}{L}$ and $h_1(d)$ and $h_2(d)$ as positive analytic
functions of $d$, for the case of high temperature, we get that the specific
entropy satisfies $\frac{S}{E} < 2\pi R \frac{h_1(d)}{h_2(d)} \xi$. When
considering the low temperature behavior of the specific entropy, we have
$\frac{S}{E} <2\pi R \frac{h_1(d)}{\epsilon_d^{(r)}}\xi^{1-d}$. Therefore the
sign of the renormalized zero-point energy can invalidate this quantum bound.
If the renormalized zero point-energy is a positive quantity, at intermediate
temperatures and in the low temperature limit, there is a quantum bound.
| hep-th | using the euclidean path integral approach with functional methods we discuss the g_0 phip_d selfinteracting scalar field theory in the strongcoupling regime we assume the presence of macroscopic boundaries confining the field in a hypercube of side l we also consider that the system is in thermal equilibrium at temperature beta1 for spatially bounded free fields the bekenstein bound states that the specific entropy satisfies the inequality fracse 2 pi r where r stands for the radius of the smallest sphere that circumscribes the system employing the strongcoupling perturbative expansion we obtain the renormalized mean energy e and entropy s for the system up to the order g_0frac2p presenting an analytical proof that the specific entropy also satisfies in some situations a quantum bound defining epsilon_dr as the renormalized zeropoint energy for the free theory per unit length the dimensionless quantity xifracbetal and h_1d and h_2d as positive analytic functions of d for the case of high temperature we get that the specific entropy satisfies fracse 2pi r frach_1dh_2d xi when considering the low temperature behavior of the specific entropy we have fracse 2pi r frach_1depsilon_drxi1d therefore the sign of the renormalized zeropoint energy can invalidate this quantum bound if the renormalized zero pointenergy is a positive quantity at intermediate temperatures and in the low temperature limit there is a quantum bound | [['using', 'the', 'euclidean', 'path', 'integral', 'approach', 'with', 'functional', 'methods', 'we', 'discuss', 'the', 'g_0', 'phip_d', 'selfinteracting', 'scalar', 'field', 'theory', 'in', 'the', 'strongcoupling', 'regime', 'we', 'assume', 'the', 'presence', 'of', 'macroscopic', 'boundaries', 'confining', 'the', 'field', 'in', 'a', 'hypercube', 'of', 'side', 'l', 'we', 'also', 'consider', 'that', 'the', 'system', 'is', 'in', 'thermal', 'equilibrium', 'at', 'temperature', 'beta1', 'for', 'spatially', 'bounded', 'free', 'fields', 'the', 'bekenstein', 'bound', 'states', 'that', 'the', 'specific', 'entropy', 'satisfies', 'the', 'inequality', 'fracse', '2', 'pi', 'r', 'where', 'r', 'stands', 'for', 'the', 'radius', 'of', 'the', 'smallest', 'sphere', 'that', 'circumscribes', 'the', 'system', 'employing', 'the', 'strongcoupling', 'perturbative', 'expansion', 'we', 'obtain', 'the', 'renormalized', 'mean', 'energy', 'e', 'and', 'entropy', 's', 'for', 'the', 'system', 'up', 'to', 'the', 'order', 'g_0frac2p', 'presenting', 'an', 'analytical', 'proof', 'that', 'the', 'specific', 'entropy', 'also', 'satisfies', 'in', 'some', 'situations', 'a', 'quantum', 'bound', 'defining', 'epsilon_dr', 'as', 'the', 'renormalized', 'zeropoint', 'energy', 'for', 'the', 'free', 'theory', 'per', 'unit', 'length', 'the', 'dimensionless', 'quantity', 'xifracbetal', 'and', 'h_1d', 'and', 'h_2d', 'as', 'positive', 'analytic', 'functions', 'of', 'd', 'for', 'the', 'case', 'of', 'high', 'temperature', 'we', 'get', 'that', 'the', 'specific', 'entropy', 'satisfies', 'fracse', '2pi', 'r', 'frach_1dh_2d', 'xi', 'when', 'considering', 'the', 'low', 'temperature', 'behavior', 'of', 'the', 'specific', 'entropy', 'we', 'have', 'fracse', '2pi', 'r', 'frach_1depsilon_drxi1d', 'therefore', 'the', 'sign', 'of', 'the', 'renormalized', 'zeropoint', 'energy', 'can', 'invalidate', 'this', 'quantum', 'bound', 'if', 'the', 'renormalized', 'zero', 'pointenergy', 'is', 'a', 'positive', 'quantity', 'at', 'intermediate', 'temperatures', 'and', 'in', 'the', 'low', 'temperature', 'limit', 'there', 'is', 'a', 'quantum', 'bound']] | [-0.18769871067299052, 0.19120869937002236, -0.10336850838042623, 0.06083809642099537, -0.0036860410297332807, -0.1722993377466188, 0.0601980508700403, 0.2753479036231807, -0.24714558324235122, -0.23755450641173262, 0.04562936010391473, -0.3223674001562041, -0.08088273728959436, 0.16215657999219243, -0.016802221486821423, 0.039683715895164846, -0.017887159815967776, 0.12953654650008567, -0.07565319041943525, -0.21402572527484492, 0.3201688489551808, 0.04010716930497438, 0.23668515236918317, 0.1329597172191973, 0.08180555691509399, 0.011263593283027064, 0.0630232393589997, 0.04414350183810606, -0.235118031511821, 0.06442871945233322, 0.2051330567911527, 0.05403339881449938, 0.2499566571830317, -0.360242517366139, -0.20152922039851545, 0.10964461753448082, 0.12068254354648118, 0.0774167476611775, 0.004247812970086586, -0.20778988715326197, 0.0768347131055888, -0.15727270125454768, -0.17022546495224328, -0.06743913772840833, 0.06478918300140216, -0.028252943758961074, -0.26607778709555086, 0.14448869612560672, 0.04861811059906126, 0.0440994621687677, -0.07468194058598128, -0.12366770715398584, -0.017589205490468548, 0.0913752433428335, 0.04124099437071574, 0.07140263072431607, 0.1429633326027109, -0.12387437223846656, -0.031168308269860612, 0.31832361045445123, -0.12707163747345898, -0.2061094312311345, 0.11336764137282275, -0.18552028087704162, -0.10250897203398825, 0.08986167123238015, 0.07248868499990813, 0.14082054449895093, -0.10123776750196432, 0.1935808162543338, -0.02331788122564619, 0.1556742922424577, 0.08051392209044722, 0.0671940698905653, 0.1822701578038314, 0.071456686945004, 0.08011062533789595, 0.15608440765943163, -0.07540101574214045, -0.10770738516002894, -0.3862775816907023, -0.17513250379584902, -0.2317365381823376, 0.094423520110201, -0.15627758722118817, -0.17281907924429274, 0.3145930381448463, 0.12542073844720847, 0.17333844482119, 0.0686595851208928, 0.25523227032295664, 0.19706529378160012, 0.03289254194905245, 0.11108875563801375, 0.2127376923799179, 0.14847582034864137, 0.08538537003278603, -0.2619999756993249, -0.020574672949002233, 0.10245402730198652] |
711.3436 | Flat Tree-level Inflationary Potentials in Light of CMB and LSS Data | We use cosmic microwave background and large scale structure data to test a
broad and physically well-motivated class of inflationary models: those with
flat tree-level potentials (typical in supersymmetry). The non-trivial features
of the potential arise from radiative corrections which give a simple
logarithmic dependence on the inflaton field, making the models very
predictive. We also consider a modified scenario with new physics beyond a
certain high-energy cut-off showing up as non-renormalizable operators (NRO) in
the inflaton field. We find that both kinds of models fit remarkably well CMB
and LSS data, with very few free parameters. Besides, a large part of these
models naturally predict a reasonable number of e-folds. A robust feature of
these scenarios is the smallness of tensor perturbations (r < 10^{-3}). The NRO
case can give a sizeable running of the spectral index while achieving a
sufficient number of e-folds. We use Bayesian model comparison tools to assess
the relative performance of the models. We believe that these scenarios can be
considered as a standard physical class of inflationary models, on a similar
footing with monomial potentials.
| hep-ph astro-ph hep-th | we use cosmic microwave background and large scale structure data to test a broad and physically wellmotivated class of inflationary models those with flat treelevel potentials typical in supersymmetry the nontrivial features of the potential arise from radiative corrections which give a simple logarithmic dependence on the inflaton field making the models very predictive we also consider a modified scenario with new physics beyond a certain highenergy cutoff showing up as nonrenormalizable operators nro in the inflaton field we find that both kinds of models fit remarkably well cmb and lss data with very few free parameters besides a large part of these models naturally predict a reasonable number of efolds a robust feature of these scenarios is the smallness of tensor perturbations r 103 the nro case can give a sizeable running of the spectral index while achieving a sufficient number of efolds we use bayesian model comparison tools to assess the relative performance of the models we believe that these scenarios can be considered as a standard physical class of inflationary models on a similar footing with monomial potentials | [['we', 'use', 'cosmic', 'microwave', 'background', 'and', 'large', 'scale', 'structure', 'data', 'to', 'test', 'a', 'broad', 'and', 'physically', 'wellmotivated', 'class', 'of', 'inflationary', 'models', 'those', 'with', 'flat', 'treelevel', 'potentials', 'typical', 'in', 'supersymmetry', 'the', 'nontrivial', 'features', 'of', 'the', 'potential', 'arise', 'from', 'radiative', 'corrections', 'which', 'give', 'a', 'simple', 'logarithmic', 'dependence', 'on', 'the', 'inflaton', 'field', 'making', 'the', 'models', 'very', 'predictive', 'we', 'also', 'consider', 'a', 'modified', 'scenario', 'with', 'new', 'physics', 'beyond', 'a', 'certain', 'highenergy', 'cutoff', 'showing', 'up', 'as', 'nonrenormalizable', 'operators', 'nro', 'in', 'the', 'inflaton', 'field', 'we', 'find', 'that', 'both', 'kinds', 'of', 'models', 'fit', 'remarkably', 'well', 'cmb', 'and', 'lss', 'data', 'with', 'very', 'few', 'free', 'parameters', 'besides', 'a', 'large', 'part', 'of', 'these', 'models', 'naturally', 'predict', 'a', 'reasonable', 'number', 'of', 'efolds', 'a', 'robust', 'feature', 'of', 'these', 'scenarios', 'is', 'the', 'smallness', 'of', 'tensor', 'perturbations', 'r', '103', 'the', 'nro', 'case', 'can', 'give', 'a', 'sizeable', 'running', 'of', 'the', 'spectral', 'index', 'while', 'achieving', 'a', 'sufficient', 'number', 'of', 'efolds', 'we', 'use', 'bayesian', 'model', 'comparison', 'tools', 'to', 'assess', 'the', 'relative', 'performance', 'of', 'the', 'models', 'we', 'believe', 'that', 'these', 'scenarios', 'can', 'be', 'considered', 'as', 'a', 'standard', 'physical', 'class', 'of', 'inflationary', 'models', 'on', 'a', 'similar', 'footing', 'with', 'monomial', 'potentials']] | [-0.11450203624939885, 0.116109366338309, -0.07073643128516266, 0.14818539357556348, -0.08750475765185338, -0.17501354186013546, -0.006609768497864381, 0.3415284355065544, -0.22215131708827301, -0.35876473548979043, 0.06648499562795138, -0.23021505837642603, -0.11380060761974023, 0.19588278624800276, -0.02235067717586927, 0.04711896701052126, 0.05432627870487718, 0.010958776749298748, -0.05626726804239397, -0.24961742075823906, 0.3105370453327318, 0.10106350946656907, 0.23414303323521551, 0.030166625539201068, 0.06417673145606084, -0.09130287534931612, -0.02183398573777705, 0.00823548173747998, -0.13387414106518064, 0.10178427032943692, 0.20102345330039462, 0.1132135998395925, 0.21485009728879437, -0.4011408700327934, -0.25620503634090913, 0.16422139335608943, 0.10451365915224861, 0.13923478907923528, -0.03655528664866781, -0.24600299023148392, 0.04398262169075749, -0.2051380061137989, -0.1253248055032017, -0.12033078901068364, -0.01869824182278173, -0.021810886018217453, -0.321469063001353, 0.07872135264979732, -0.008911238667271833, 0.02912072717206995, -0.03457685202766642, -0.1021726015570589, -0.011568862712010741, 0.040349526101857096, 0.09421018519514698, -0.01286960301569596, 0.12079697365593423, -0.1808828248080247, -0.0883818340245943, 0.40735206968094434, -0.14247451690720261, -0.15220045297566123, 0.17735391685183452, -0.13364067140874036, -0.16376506118103862, 0.08452006155182479, 0.16922244015767224, 0.11326701752069658, -0.1257914012218877, 0.14793792212779444, -0.009514030141148778, 0.16926262213318552, 0.045465387378237854, 0.05803181402107382, 0.25510501550917014, 0.13316496346372267, 0.03286658014551587, 0.10435787959471962, -0.07054578111949505, -0.08181484349751177, -0.38613241356257244, -0.05598065761838993, -0.12071355295403557, 0.0698449970660371, -0.1837236848734583, -0.1948636706136373, 0.4416550824068775, 0.1656288520962988, 0.24738890838002767, 0.09402317837336055, 0.2712629999121579, 0.07994140482614413, 0.09865415722738889, 0.05168448182116185, 0.2647182676035561, 0.1000744133019686, 0.0826180428485206, -0.15949029985619761, -0.020604245184575983, -0.00473240751629047] |
711.3437 | Central extensions of groups of sections | If q : P -> M is a principal K-bundle over the compact manifold M, then any
invariant symmetric V-valued bilinear form on the Lie algebra k of K defines a
Lie algebra extension of the gauge algebra by a space of bundle-valued 1-forms
modulo exact forms. In the present paper we analyze the integrability of this
extension to a Lie group extension for non-connected, possibly
infinite-dimensional Lie groups K. If K has finitely many connected components
we give a complete characterization of the integrable extensions. Our results
on gauge groups are obtained by specialization of more general results on
extensions of Lie groups of smooth sections of Lie group bundles. In this more
general context we provide sufficient conditions for integrability in terms of
data related only to the group K.
| math.DG math.GR | if q p m is a principal kbundle over the compact manifold m then any invariant symmetric vvalued bilinear form on the lie algebra k of k defines a lie algebra extension of the gauge algebra by a space of bundlevalued 1forms modulo exact forms in the present paper we analyze the integrability of this extension to a lie group extension for nonconnected possibly infinitedimensional lie groups k if k has finitely many connected components we give a complete characterization of the integrable extensions our results on gauge groups are obtained by specialization of more general results on extensions of lie groups of smooth sections of lie group bundles in this more general context we provide sufficient conditions for integrability in terms of data related only to the group k | [['if', 'q', 'p', 'm', 'is', 'a', 'principal', 'kbundle', 'over', 'the', 'compact', 'manifold', 'm', 'then', 'any', 'invariant', 'symmetric', 'vvalued', 'bilinear', 'form', 'on', 'the', 'lie', 'algebra', 'k', 'of', 'k', 'defines', 'a', 'lie', 'algebra', 'extension', 'of', 'the', 'gauge', 'algebra', 'by', 'a', 'space', 'of', 'bundlevalued', '1forms', 'modulo', 'exact', 'forms', 'in', 'the', 'present', 'paper', 'we', 'analyze', 'the', 'integrability', 'of', 'this', 'extension', 'to', 'a', 'lie', 'group', 'extension', 'for', 'nonconnected', 'possibly', 'infinitedimensional', 'lie', 'groups', 'k', 'if', 'k', 'has', 'finitely', 'many', 'connected', 'components', 'we', 'give', 'a', 'complete', 'characterization', 'of', 'the', 'integrable', 'extensions', 'our', 'results', 'on', 'gauge', 'groups', 'are', 'obtained', 'by', 'specialization', 'of', 'more', 'general', 'results', 'on', 'extensions', 'of', 'lie', 'groups', 'of', 'smooth', 'sections', 'of', 'lie', 'group', 'bundles', 'in', 'this', 'more', 'general', 'context', 'we', 'provide', 'sufficient', 'conditions', 'for', 'integrability', 'in', 'terms', 'of', 'data', 'related', 'only', 'to', 'the', 'group', 'k']] | [-0.2295080893493902, 0.062346789410534814, -0.09181787329905022, 0.04035930510592432, -0.16160312848559652, -0.12177587120363918, -0.015130465926351743, 0.36676524079476414, -0.2675745107520085, -0.20379006926400156, 0.12456662888871506, -0.20278846444562076, -0.14443038049189805, 0.1999109581578523, -0.0844096810145017, -0.08574816432888978, 0.03864906448691797, 0.17373263430983152, -0.1370074379954111, -0.2873201540026527, 0.42573752314425434, -0.05780403058474454, 0.17348315040222728, -0.009333762447707929, 0.11397603432594154, 0.03793191202701284, -0.012787810238436437, -0.02820313778871563, -0.14484513817856517, 0.1469106126576662, 0.3263836811654843, 0.05366002689832105, 0.20283241083558937, -0.33478750276307645, -0.14928116398648575, 0.19451163806952537, 0.12787014149989073, -0.025839697648412905, -0.031234609575879473, -0.2968140838882671, 0.13132053394443713, -0.1540060745122341, -0.145119312314245, -0.08419909512337584, 0.08588839609784862, -0.04072184862497334, -0.23630517086443992, 0.026579996370352233, 0.11273125305485267, 0.1458282125612291, -0.09479000664566858, -0.10928887538432788, -0.04662001440838839, 0.027898499738568297, -0.04737842548101281, 0.02540777813141736, 0.12194343040912198, -0.04874097975329138, -0.1259878491338056, 0.39319985531485424, -0.0633898170879827, -0.2448849004191848, 0.14192167140830023, -0.18303323960504853, -0.2131983429300957, 0.1369214693747031, 0.1342876196409074, 0.15081284379300017, -0.07383865003402416, 0.24380646265255143, -0.1592409340843845, 0.035432020720775025, 0.05930281502481263, -0.019973783613218426, 0.12549553292248256, 0.10019527921596398, 0.1160660154409505, 0.10314258822741416, 0.08729954205560857, -0.01065500144345256, -0.4169430678567061, -0.19994023656741214, -0.0843721060691258, 0.13289943580300762, -0.11405223959053938, -0.1149588519635682, 0.40219071923146166, 0.07668021524754855, 0.19736926004720423, 0.12921901104810576, 0.18225041315532647, 0.07382603055627372, 0.11310784513345705, 0.08356584900130447, 0.07989144472297854, 0.28943017292946865, -0.052783864844912806, -0.12650120778260035, -0.08472063252344154, 0.15643614859750066] |
711.3438 | Complementarity of Private and Correctable Subsystems in Quantum
Cryptography and Error Correction | We make an explicit connection between fundamental notions in quantum
cryptography and quantum error correction. Error-correcting subsystems (and
subspaces) for quantum channels are the key vehicles for contending with noise
in physical implementations of quantum information-processing. Private
subsystems (and subspaces) for quantum channels play a central role in
cryptographic schemes such as quantum secret sharing and private quantum
communication. We show that a subsystem is private for a channel precisely when
it is correctable for a complementary channel. This result is shown to hold
even for approximate notions of private and correctable defined in terms of the
diamond norm for superoperators.
| quant-ph | we make an explicit connection between fundamental notions in quantum cryptography and quantum error correction errorcorrecting subsystems and subspaces for quantum channels are the key vehicles for contending with noise in physical implementations of quantum informationprocessing private subsystems and subspaces for quantum channels play a central role in cryptographic schemes such as quantum secret sharing and private quantum communication we show that a subsystem is private for a channel precisely when it is correctable for a complementary channel this result is shown to hold even for approximate notions of private and correctable defined in terms of the diamond norm for superoperators | [['we', 'make', 'an', 'explicit', 'connection', 'between', 'fundamental', 'notions', 'in', 'quantum', 'cryptography', 'and', 'quantum', 'error', 'correction', 'errorcorrecting', 'subsystems', 'and', 'subspaces', 'for', 'quantum', 'channels', 'are', 'the', 'key', 'vehicles', 'for', 'contending', 'with', 'noise', 'in', 'physical', 'implementations', 'of', 'quantum', 'informationprocessing', 'private', 'subsystems', 'and', 'subspaces', 'for', 'quantum', 'channels', 'play', 'a', 'central', 'role', 'in', 'cryptographic', 'schemes', 'such', 'as', 'quantum', 'secret', 'sharing', 'and', 'private', 'quantum', 'communication', 'we', 'show', 'that', 'a', 'subsystem', 'is', 'private', 'for', 'a', 'channel', 'precisely', 'when', 'it', 'is', 'correctable', 'for', 'a', 'complementary', 'channel', 'this', 'result', 'is', 'shown', 'to', 'hold', 'even', 'for', 'approximate', 'notions', 'of', 'private', 'and', 'correctable', 'defined', 'in', 'terms', 'of', 'the', 'diamond', 'norm', 'for', 'superoperators']] | [-0.19780664150441749, 0.1144883699386927, -0.06631915304737193, 0.12254694754045715, 0.04494420033337843, -0.30826915455705456, 0.07506972470892465, 0.3555125816734416, -0.31846705215549703, -0.21865626391355353, 0.09140324872909206, -0.25609902216416625, -0.13737551413365814, 0.24475046352363458, -0.1657242082419003, 0.15253188700004858, 0.05227951992229365, 0.053732942702193365, -0.04589253642808388, -0.29224355957738246, 0.35014135995418716, 0.04986427754444983, 0.25775280637242415, 0.04641470698049605, 0.1081228787402189, 0.04646361300186946, -0.0028395683154242464, -0.06990826236877111, -0.11679526022440895, 0.12492480962583334, 0.3707172316268529, 0.14585786973965345, 0.2639408515637169, -0.3967511125628163, -0.19342284991710199, 0.12968514042233328, 0.1268301035674049, 0.17051295381233023, -0.06607067269632722, -0.2849086654178872, 0.09025864880347606, -0.1949992837882278, -0.00689927856483967, -0.09519332800853518, 0.013405266268602988, -0.034359818933033706, -0.31468679934813837, 0.02979956151419642, 0.08011663056066315, 0.1017245713086559, 0.028787121033793925, -0.059749475325282554, 0.09702563282600281, 0.22503848324471043, -0.077589479549373, -0.012879995338729407, 0.13869709662613597, -0.13349502907355898, -0.19833589898477685, 0.35829971747306905, 0.02169836940022536, -0.23722591548973676, 0.12270212560686937, -0.04434613753479011, -0.10901786979301695, 0.006519091144978705, 0.1678304882975996, 0.011679124976923265, -0.1263982894086097, 0.10038670203775296, -0.027804690293303812, 0.1705700779900803, 0.0511117809784073, 0.278991638005038, 0.1654579823209655, 0.04892243367693581, 0.15209168535979964, 0.14254499242484275, -0.016185869693313495, -0.2306399460522329, -0.31021939304260776, -0.2657819838922397, -0.23370946353614921, 0.06810198808224333, -0.08747214154443488, -0.12924002383064506, 0.31363991464460544, 0.10198445381172518, 0.12183009535258654, 0.04873298848103179, 0.35037171883084395, 0.04878647483327417, 0.06428466481387173, 0.17942924236436145, 0.20685723655405316, 0.21911214876661797, 0.02253944689573923, -0.1736384223786985, 0.10896912897190097, 0.04472472639938835] |
711.3439 | Generation of spatially broadband twin beams for quantum imaging | We generate spatially multimode twin beams using 4-wave mixing in a hot
atomic vapor in a phase-insensitive traveling-wave amplifier configuration. The
far-field coherence area measured at 3.5 MHz is shown to be much smaller than
the angular bandwidth of the process and bright twin images with independently
quantum-correlated sub-areas can be generated with little distortion. The
available transverse degrees of freedom form a high-dimensional Hilbert space
which we use to produce quantum-correlated twin beams with finite orbital
angular momentum.
| quant-ph | we generate spatially multimode twin beams using 4wave mixing in a hot atomic vapor in a phaseinsensitive travelingwave amplifier configuration the farfield coherence area measured at 35 mhz is shown to be much smaller than the angular bandwidth of the process and bright twin images with independently quantumcorrelated subareas can be generated with little distortion the available transverse degrees of freedom form a highdimensional hilbert space which we use to produce quantumcorrelated twin beams with finite orbital angular momentum | [['we', 'generate', 'spatially', 'multimode', 'twin', 'beams', 'using', '4wave', 'mixing', 'in', 'a', 'hot', 'atomic', 'vapor', 'in', 'a', 'phaseinsensitive', 'travelingwave', 'amplifier', 'configuration', 'the', 'farfield', 'coherence', 'area', 'measured', 'at', '35', 'mhz', 'is', 'shown', 'to', 'be', 'much', 'smaller', 'than', 'the', 'angular', 'bandwidth', 'of', 'the', 'process', 'and', 'bright', 'twin', 'images', 'with', 'independently', 'quantumcorrelated', 'subareas', 'can', 'be', 'generated', 'with', 'little', 'distortion', 'the', 'available', 'transverse', 'degrees', 'of', 'freedom', 'form', 'a', 'highdimensional', 'hilbert', 'space', 'which', 'we', 'use', 'to', 'produce', 'quantumcorrelated', 'twin', 'beams', 'with', 'finite', 'orbital', 'angular', 'momentum']] | [-0.13254443408267078, 0.26808320846455763, -0.06949641308570399, 0.04946203697174865, -0.0717329534030036, -0.14629860883107101, 0.00968337229370505, 0.4486038513670239, -0.26450755065778575, -0.2928921082970698, 0.0443561883979253, -0.2710169725815612, 0.024025979372260125, 0.21631291329483443, -0.02962818021497017, 0.07178777298312398, 0.0949290448835096, -0.03442971573411664, -0.010254016827977604, -0.18774020186878881, 0.2593996491212445, 0.07083466413277614, 0.28917466517820767, -0.04674784312189757, 0.15579825089183413, -0.0053992471127193185, 0.014923695439496372, -0.05412612856060703, -0.1079092010991247, 0.09674837751479089, 0.24088593454783946, 0.04650144813040012, 0.20548421553560073, -0.36530265228563474, -0.2245459303516258, 0.12229281959795876, 0.1420441501644216, 0.15193249089967553, -0.026504330089480818, -0.30431441059689734, 0.007463407455177247, -0.14155270760478098, -0.14546573822256886, -0.06631509725098746, -0.04027979513350285, 0.009267680496537374, -0.2949985032193834, 0.06647397532375364, -0.010424626790741576, 0.09720462871438387, 0.039799507141490525, -0.09188279068639761, -0.07207116125670227, -0.0014774942935644826, -0.04205144477655958, 0.06360997730288419, 0.11067888812055882, -0.06968526959734603, -0.06354378364225731, 0.3520611597083603, -0.06749231235033544, -0.20417304728415947, 0.14631086043259012, -0.2529625743362298, -0.009656698637512288, 0.215040583917989, 0.19075221224699782, 0.07423883915843466, -0.11164165791595661, -0.030758914850870313, -0.044071812300553806, 0.23546283033122367, 0.2137301349422977, 0.19362519291536057, 0.23974991338386473, 0.14281262817963533, 0.03171342293012746, 0.18527384785658244, -0.18079836222142737, -0.07561994105860402, -0.24846902077050903, -0.09165877272865641, -0.203420836784983, 0.07356481140337978, -0.05027040367031653, -0.08174387547239084, 0.38335216450033405, 0.07378185918124369, 0.18660973966168828, -0.05666725757042582, 0.3436854182966525, 0.0856779470591794, 0.13475112810943135, 0.07706580078229308, 0.258224418940895, 0.16720424552412727, 0.09270821732197758, -0.2159441925896202, -0.05369629532900415, -0.03766445371121922] |
711.344 | Generation of polycyclic groups | In this note we give an alternative proof of a theorem of Linnell and
Warhurst that the number of generators d(G) of a polycyclic group G is at most
d(\hat G), where d(\hat G) is the number of generators of the profinite
completion of G. While not claiming anything new we believe that our argument
is much simpler that the original one. Moreover our result gives some
sufficient condition when d(G)=d(\hat G) which can be verified quite easily in
the case when G is virtually abelian.
| math.GR | in this note we give an alternative proof of a theorem of linnell and warhurst that the number of generators dg of a polycyclic group g is at most dhat g where dhat g is the number of generators of the profinite completion of g while not claiming anything new we believe that our argument is much simpler that the original one moreover our result gives some sufficient condition when dgdhat g which can be verified quite easily in the case when g is virtually abelian | [['in', 'this', 'note', 'we', 'give', 'an', 'alternative', 'proof', 'of', 'a', 'theorem', 'of', 'linnell', 'and', 'warhurst', 'that', 'the', 'number', 'of', 'generators', 'dg', 'of', 'a', 'polycyclic', 'group', 'g', 'is', 'at', 'most', 'dhat', 'g', 'where', 'dhat', 'g', 'is', 'the', 'number', 'of', 'generators', 'of', 'the', 'profinite', 'completion', 'of', 'g', 'while', 'not', 'claiming', 'anything', 'new', 'we', 'believe', 'that', 'our', 'argument', 'is', 'much', 'simpler', 'that', 'the', 'original', 'one', 'moreover', 'our', 'result', 'gives', 'some', 'sufficient', 'condition', 'when', 'dgdhat', 'g', 'which', 'can', 'be', 'verified', 'quite', 'easily', 'in', 'the', 'case', 'when', 'g', 'is', 'virtually', 'abelian']] | [-0.14801386845231587, 0.10768164728281027, -0.15586642497995248, 0.02493661333712572, -0.14584495567916228, -0.1384135346438381, 0.026567895270307503, 0.3556329117023519, -0.263332333921599, -0.303962968090283, 0.09223143323712672, -0.22132969295073832, -0.12858804095525384, 0.2433394484465853, -0.1557575035396786, -0.09867865125887051, 0.09991110915628572, 0.1282608971398856, 0.006416909629479051, -0.298851336086435, 0.30164872113493313, -0.010454732459038496, 0.2052822283890453, 0.08049486319734049, 0.045638523663261106, -0.011112689073862774, 0.003530725340602831, 0.013119408151223547, -0.11669578592677897, 0.08283121099451646, 0.2850381435848595, 0.09212944837331417, 0.2535545784048736, -0.3708267598191187, -0.13739655812692253, 0.18393501729172254, 0.09917299280364421, 0.07015059897371213, -0.042629033426887224, -0.22115845589931787, 0.16988120720322644, -0.19476885962787838, -0.11276981275573018, -0.012124673862542425, 0.10544224300732215, -0.04955620950689384, -0.27339769095470684, -0.003153891601998891, 0.1509501151629679, 0.05150766043430806, 0.05370567983204853, -0.10844169453429502, -0.05373367066273377, 0.061275133921992075, 0.04960439539891446, 0.04974816180280565, 0.057133596329506306, -0.08842915070099047, -0.071998141931891, 0.4329587465063447, -0.06625705669146209, -0.17097450944129378, 0.1744967852719128, -0.15188101653586186, -0.19734900524573668, 0.11976883559864723, 0.030740849834512033, 0.19529131989526963, -0.07563518201329446, 0.15066763836200284, -0.17266186761359373, 0.1359324116437208, 0.03055451200565412, 0.012677568687303435, 0.0877019938281072, 0.10802923231260918, 0.1308890009254572, 0.12202009290229485, 0.05801738574657412, 0.08862281208747022, -0.39436371750863536, -0.17650561340685403, -0.21209594744279803, 0.1334619299854066, -0.10081032390960554, -0.13056164727147138, 0.38150880904868245, 0.15746650178473265, 0.1405618457287173, 0.12070489347873566, 0.24176433174649165, 0.10491672687030154, 0.06121870223640664, 0.10899803687408123, 0.153996485747311, 0.16703258525757564, -0.06218183171170365, -0.14284891821444035, 0.03767016118148431, 0.14515722467608394] |
711.3441 | On the existence of infinite energy solutions for nonlinear Schrodinger
equations | We derive new results about existence and uniqueness of local and global
solutions for nonlinear Schrodinger equation, including self-similar global
solutions. Our analysis is performed in the framework of Marcinkiewicz spaces.
| math.AP | we derive new results about existence and uniqueness of local and global solutions for nonlinear schrodinger equation including selfsimilar global solutions our analysis is performed in the framework of marcinkiewicz spaces | [['we', 'derive', 'new', 'results', 'about', 'existence', 'and', 'uniqueness', 'of', 'local', 'and', 'global', 'solutions', 'for', 'nonlinear', 'schrodinger', 'equation', 'including', 'selfsimilar', 'global', 'solutions', 'our', 'analysis', 'is', 'performed', 'in', 'the', 'framework', 'of', 'marcinkiewicz', 'spaces']] | [-0.09588951656534787, -0.08238067859483342, -0.12326566790861468, 0.12264053619301488, -0.09789449379088418, -0.08381758972762092, -0.026276868527695056, 0.2734817812639859, -0.2651417163996807, -0.23221279536524125, 0.19468259702872245, -0.29118996077487547, -0.1478879414949446, 0.21316611509199343, 0.011096900449164452, 0.14665386026665087, 0.06061077959114505, -0.05102906556379411, -0.1115999240277996, -0.19620222667787945, 0.40329490384958205, -0.07019919000806348, 0.24928382952367106, 0.04658632605306564, 0.13358256796134577, -0.0029205214081993026, -0.06627206797260911, 0.0035142230410729687, -0.23823774524874264, 0.13489828730422643, 0.18115253770543682, 0.14583655753202976, 0.30488937852844117, -0.4548709652717075, -0.21667237850206514, 0.12221759113092576, 0.13228247846446692, 0.11250282042930203, -0.09989566768279239, -0.3907609985720727, 0.12429670328574796, -0.06158925433673205, -0.2540146864409889, -0.20100778449446924, 0.003865158245448143, 0.11572691347570188, -0.3264130420622326, 0.19587298018497326, 0.09212231225965004, 0.04137365318714611, -0.2966546861665143, -0.04227390741148303, -0.023908478440716863, 0.07792381722960741, 0.06810949456637665, -0.03934324098630778, -0.002352139747311031, -0.12555766255865175, -0.1295154259329842, 0.3221252589456497, -0.1106249543748075, -0.2527208528406317, 0.1767320927052248, -0.11393864981589778, -0.1565792292897259, 0.08895460792606877, 0.19732933563570823, 0.1735928401260847, -0.1652301828106565, 0.13542860806093462, -0.12289072250226332, 0.14217038957342024, 0.07105568904549844, 0.04308638724708749, 0.053911968284556945, 0.1836743650417174, 0.1871150063591138, 0.09890167120723956, 0.029974994606398526, -0.14751359616639093, -0.38600289004464305, -0.12525639054365456, -0.061679347448291316, 0.08926954078713371, -0.14981284153163282, -0.16696923286203416, 0.43024605596738474, 0.12597831536925608, 0.09148718467763355, 0.08206687771504925, 0.1641895733172855, 0.16523702576711413, -0.06731075348122226, 0.1122812237440338, 0.23843150742111668, 0.19046539440751076, 0.1728786532316477, -0.18369481521808811, -0.03408062196667156, 0.22522629483512813] |
711.3442 | Gravitational inflaton decay and the hierarchy problem | We study implications of the large-N species solution to the hierarchy
problem, proposed by G. Dvali, for reheating of the universe after inflation.
Dvali's proposal contains additional N~10^{32} Z_2-conserved quantum fields
beyond the Standard Model particles with mass ~1 TeV, which weaken gravity by a
factor of 1/N, and thus explain the hierarchy between the Plank scale and the
electroweak scale. We show that, in this scenario, the decay rates of inflaton
fields through gravitational decay channels are enhanced by a factor of N, and
thus they decay into N species of the quantum fields very efficiently, in the
limit that quantum gravity effects are unimportant for the gravitational decay
rate. In order not to over-reheat the universe, inflaton mass, vacuum
expectation value of inflaton, or non-minimal gravitational coupling should be
tightly fine-tuned. Our conclusion holds even when the gravitational decay is
prohibited by some symmetry of the theory; the universe may still be
over-reheated via annihilation of inflatons, if the number density of inflaton
quanta is greater than the critical value.
| hep-th astro-ph gr-qc hep-ph | we study implications of the largen species solution to the hierarchy problem proposed by g dvali for reheating of the universe after inflation dvalis proposal contains additional n1032 z_2conserved quantum fields beyond the standard model particles with mass 1 tev which weaken gravity by a factor of 1n and thus explain the hierarchy between the plank scale and the electroweak scale we show that in this scenario the decay rates of inflaton fields through gravitational decay channels are enhanced by a factor of n and thus they decay into n species of the quantum fields very efficiently in the limit that quantum gravity effects are unimportant for the gravitational decay rate in order not to overreheat the universe inflaton mass vacuum expectation value of inflaton or nonminimal gravitational coupling should be tightly finetuned our conclusion holds even when the gravitational decay is prohibited by some symmetry of the theory the universe may still be overreheated via annihilation of inflatons if the number density of inflaton quanta is greater than the critical value | [['we', 'study', 'implications', 'of', 'the', 'largen', 'species', 'solution', 'to', 'the', 'hierarchy', 'problem', 'proposed', 'by', 'g', 'dvali', 'for', 'reheating', 'of', 'the', 'universe', 'after', 'inflation', 'dvalis', 'proposal', 'contains', 'additional', 'n1032', 'z_2conserved', 'quantum', 'fields', 'beyond', 'the', 'standard', 'model', 'particles', 'with', 'mass', '1', 'tev', 'which', 'weaken', 'gravity', 'by', 'a', 'factor', 'of', '1n', 'and', 'thus', 'explain', 'the', 'hierarchy', 'between', 'the', 'plank', 'scale', 'and', 'the', 'electroweak', 'scale', 'we', 'show', 'that', 'in', 'this', 'scenario', 'the', 'decay', 'rates', 'of', 'inflaton', 'fields', 'through', 'gravitational', 'decay', 'channels', 'are', 'enhanced', 'by', 'a', 'factor', 'of', 'n', 'and', 'thus', 'they', 'decay', 'into', 'n', 'species', 'of', 'the', 'quantum', 'fields', 'very', 'efficiently', 'in', 'the', 'limit', 'that', 'quantum', 'gravity', 'effects', 'are', 'unimportant', 'for', 'the', 'gravitational', 'decay', 'rate', 'in', 'order', 'not', 'to', 'overreheat', 'the', 'universe', 'inflaton', 'mass', 'vacuum', 'expectation', 'value', 'of', 'inflaton', 'or', 'nonminimal', 'gravitational', 'coupling', 'should', 'be', 'tightly', 'finetuned', 'our', 'conclusion', 'holds', 'even', 'when', 'the', 'gravitational', 'decay', 'is', 'prohibited', 'by', 'some', 'symmetry', 'of', 'the', 'theory', 'the', 'universe', 'may', 'still', 'be', 'overreheated', 'via', 'annihilation', 'of', 'inflatons', 'if', 'the', 'number', 'density', 'of', 'inflaton', 'quanta', 'is', 'greater', 'than', 'the', 'critical', 'value']] | [-0.14570574106859088, 0.2714162189579669, -0.062197013392843704, 0.13690832983437523, -0.05576683666200159, -0.1511716840002396, 0.007850407891137202, 0.2750218080239605, -0.2234227426808807, -0.31184208477864006, 0.05613229540246399, -0.2300896877367161, -0.06365895227105273, 0.15944467886479316, 0.043671392197135145, 0.016334546417622508, 0.033437413438488196, 0.057182902520422095, 0.0051265421475445525, -0.29884406427356475, 0.3363283670459969, 0.09532215321662384, 0.19896208687091502, 0.057440350841574686, 0.048913141001506656, -0.06613588271924702, 0.028934976568412103, -0.036246622235006735, -0.1330068496654185, 0.052299061943470185, 0.14657145986768477, 0.1260857138264099, 0.23613822295101816, -0.41345087490128185, -0.22915173406171763, 0.1841701175097354, 0.17659916884327184, 0.14475550386611327, -0.03187211194426981, -0.3067839373792605, 0.08207483782048175, -0.16113257451919827, -0.1135789106995938, -0.03675885759517104, 0.02959436857459431, -0.09943294054047835, -0.2987666599721575, 0.13837891308490388, 0.003588832512603861, -0.047274563132512, -0.02491280326374366, -0.07364000909275815, -0.02331223848978515, 0.02575634510070225, 0.18356419163567855, 0.0311706146872937, 0.19213565835843566, -0.21408693103414603, -0.08259320905164419, 0.3976102590680814, -0.1475269046810234, -0.148809809418964, 0.10702335298574435, -0.18947137482352777, -0.12009583532142391, 0.13822298520244658, 0.10986995477296278, 0.08555195654301855, -0.1233503703592787, 0.18345609141832975, 0.041567915926469926, 0.17911549598608767, 0.0971053080008683, 0.07053995386329284, 0.30577163209770614, 0.13061909749825112, 0.04867983907516934, 0.06656121919740236, -0.009238685955276747, -0.10208096366632216, -0.38869554243290316, -0.14039184870532975, -0.15906491600294892, 0.08273472230120571, -0.14552302195658853, -0.10553847495633774, 0.3531789150197773, 0.1453800954323396, 0.1910539957343372, 0.060152078533271876, 0.2509531916989136, 0.11597466695855768, 0.09685217035644336, 0.0639490395976777, 0.3314687426456091, 0.1434612621645259, 0.08173407827264177, -0.2571347246760737, -0.00455203327133521, 0.07105054041722086] |
711.3443 | Upgrade of the Glasgow photon tagging spectrometer for Mainz MAMI-C | The Glasgow photon tagging spectrometer at Mainz has been upgraded so that it
can be used with the 1500 MeV electron beam now available from the Mainz
microtron MAMI-C. The changes made and the resulting properties of the
spectrometer are discussed.
| nucl-ex | the glasgow photon tagging spectrometer at mainz has been upgraded so that it can be used with the 1500 mev electron beam now available from the mainz microtron mamic the changes made and the resulting properties of the spectrometer are discussed | [['the', 'glasgow', 'photon', 'tagging', 'spectrometer', 'at', 'mainz', 'has', 'been', 'upgraded', 'so', 'that', 'it', 'can', 'be', 'used', 'with', 'the', '1500', 'mev', 'electron', 'beam', 'now', 'available', 'from', 'the', 'mainz', 'microtron', 'mamic', 'the', 'changes', 'made', 'and', 'the', 'resulting', 'properties', 'of', 'the', 'spectrometer', 'are', 'discussed']] | [0.05079495165179052, 0.2661713042591767, -0.15796408669387058, 0.024299722392021154, -0.05362781035932485, -0.17125851329325176, -0.05978719446603663, 0.4367092517091007, -0.16359906062120344, -0.37089431231341713, 0.04868075233407137, -0.4110394731481991, 0.10405189493989073, 0.2441281715362537, 0.09048486296541808, 0.18532129779185463, 0.151121635739578, 0.004415549406009476, -0.028971390770293953, -0.17698460181311862, 0.207309611550555, 0.24917633982415016, 0.32469774723598144, 0.14679544156689833, 0.17517578992538335, 0.008799140404046672, -0.02427433422062455, -0.06719064216197627, -0.07134412225174701, 0.0443197153269089, 0.2957217870507298, 0.11335792498685783, 0.1586718886363797, -0.39107569170797746, -0.09216834173151632, 0.0030819514039449577, 0.10071539877709455, 0.00024487840284298106, -0.10353251126390405, -0.32089422847621324, 0.05039497467166767, -0.2688157256329205, -0.15310322570546372, -0.01354172278377341, -0.049280183526074016, 0.041380318972032246, -0.21949156346481022, -0.08586952333315843, -0.11022908694860412, 0.08045989288607748, 0.004799366485690925, -0.23350556247027182, 0.002980421263179401, 0.10571471669870179, 0.02115514442869803, 0.12229540573841916, 0.1669881718755677, -0.051628517725209634, -0.08261928780049813, 0.39251321563270036, 0.005446633096875214, -0.07986450699589602, 0.12211631260607846, -0.28281947738695434, -0.12483973217355769, 0.16004167250698295, 0.12852150187458525, 0.0612661432156839, -0.24241724133309794, 0.10058996001707117, -0.03122084992142712, 0.24268913905068143, 0.16979132852766934, 0.005211837975898894, 0.15850484366642265, 0.16365259750064734, -0.0534974039509529, 0.11045871537303688, -0.22664630526631344, 0.05086116658569109, -0.2891459915241817, -0.1003659439568476, -0.12270144800223955, 0.04338852763630268, 0.1232135549259355, 0.012808680239065392, 0.3778236300752657, 0.09814081835651361, 0.1303773183466458, -0.13191226696050384, 0.33878539611653585, 0.133281339749285, 0.1737390956954985, 0.008516196979255212, 0.32391934769182673, 0.11832326448454362, 0.27305926191734103, -0.20506000093456994, 0.02341108613579375, -0.012718854977453991] |
711.3444 | Dilepton Radiation at the CERN Super Proton Synchrotron | A quantitative evaluation of dilepton sources in heavy-ion reactions is
performed taking into account both thermal and non-thermal production
mechanisms. The hadronic thermal emission rate is based on an electromagnetic
current-correlation function with a low-mass region (LMR, M \lsim 1 GeV)
dominated by vector mesons (\rho, \omega, \phi) and an intermediate-mass region
(IMR, 1 GeV \le M \le 3 GeV) characterized by (the onset of) a multi-meson
continuum. A convolution of the emission rates over a thermal fireball
expansion results in good agreement with experiment in the low-mass spectra,
confirming the predicted broadening of the \rho meson in hadronic matter in
connection with the prevalence of baryon-induced medium effects. The absolute
magnitude of the LMR excess is mostly controlled by the fireball lifetime,
which in turn leads to a consistent explanation of the dilepton excess in the
IMR in terms of thermal radiation. The analysis of experimental
transverse-momentum (q_T) spectra reveals discrepancies with thermal emission
for q_T \gsim 1 GeV in noncentral In-In collisions, which we address by
extending our calculations by: (i) a refined treatment of \rho decays at
thermal freezeout, (ii) primordially produced \rho's subject to energy-loss,
(iii) Drell-Yan annihilation, and (iv) thermal radiation from t-channel meson
exchange processes. We investigate the sensitivity of dilepton spectra to the
critical temperature and hadro-chemical freezeout of the fireball. The \rho
broadening in the LMR turns out to be robust, while in the IMR Quark-Gluon
Plasma radiation is moderate unless the critical temperature is rather low.
| hep-ph nucl-ex nucl-th | a quantitative evaluation of dilepton sources in heavyion reactions is performed taking into account both thermal and nonthermal production mechanisms the hadronic thermal emission rate is based on an electromagnetic currentcorrelation function with a lowmass region lmr m lsim 1 gev dominated by vector mesons rho omega phi and an intermediatemass region imr 1 gev le m le 3 gev characterized by the onset of a multimeson continuum a convolution of the emission rates over a thermal fireball expansion results in good agreement with experiment in the lowmass spectra confirming the predicted broadening of the rho meson in hadronic matter in connection with the prevalence of baryoninduced medium effects the absolute magnitude of the lmr excess is mostly controlled by the fireball lifetime which in turn leads to a consistent explanation of the dilepton excess in the imr in terms of thermal radiation the analysis of experimental transversemomentum q_t spectra reveals discrepancies with thermal emission for q_t gsim 1 gev in noncentral inin collisions which we address by extending our calculations by i a refined treatment of rho decays at thermal freezeout ii primordially produced rhos subject to energyloss iii drellyan annihilation and iv thermal radiation from tchannel meson exchange processes we investigate the sensitivity of dilepton spectra to the critical temperature and hadrochemical freezeout of the fireball the rho broadening in the lmr turns out to be robust while in the imr quarkgluon plasma radiation is moderate unless the critical temperature is rather low | [['a', 'quantitative', 'evaluation', 'of', 'dilepton', 'sources', 'in', 'heavyion', 'reactions', 'is', 'performed', 'taking', 'into', 'account', 'both', 'thermal', 'and', 'nonthermal', 'production', 'mechanisms', 'the', 'hadronic', 'thermal', 'emission', 'rate', 'is', 'based', 'on', 'an', 'electromagnetic', 'currentcorrelation', 'function', 'with', 'a', 'lowmass', 'region', 'lmr', 'm', 'lsim', '1', 'gev', 'dominated', 'by', 'vector', 'mesons', 'rho', 'omega', 'phi', 'and', 'an', 'intermediatemass', 'region', 'imr', '1', 'gev', 'le', 'm', 'le', '3', 'gev', 'characterized', 'by', 'the', 'onset', 'of', 'a', 'multimeson', 'continuum', 'a', 'convolution', 'of', 'the', 'emission', 'rates', 'over', 'a', 'thermal', 'fireball', 'expansion', 'results', 'in', 'good', 'agreement', 'with', 'experiment', 'in', 'the', 'lowmass', 'spectra', 'confirming', 'the', 'predicted', 'broadening', 'of', 'the', 'rho', 'meson', 'in', 'hadronic', 'matter', 'in', 'connection', 'with', 'the', 'prevalence', 'of', 'baryoninduced', 'medium', 'effects', 'the', 'absolute', 'magnitude', 'of', 'the', 'lmr', 'excess', 'is', 'mostly', 'controlled', 'by', 'the', 'fireball', 'lifetime', 'which', 'in', 'turn', 'leads', 'to', 'a', 'consistent', 'explanation', 'of', 'the', 'dilepton', 'excess', 'in', 'the', 'imr', 'in', 'terms', 'of', 'thermal', 'radiation', 'the', 'analysis', 'of', 'experimental', 'transversemomentum', 'q_t', 'spectra', 'reveals', 'discrepancies', 'with', 'thermal', 'emission', 'for', 'q_t', 'gsim', '1', 'gev', 'in', 'noncentral', 'inin', 'collisions', 'which', 'we', 'address', 'by', 'extending', 'our', 'calculations', 'by', 'i', 'a', 'refined', 'treatment', 'of', 'rho', 'decays', 'at', 'thermal', 'freezeout', 'ii', 'primordially', 'produced', 'rhos', 'subject', 'to', 'energyloss', 'iii', 'drellyan', 'annihilation', 'and', 'iv', 'thermal', 'radiation', 'from', 'tchannel', 'meson', 'exchange', 'processes', 'we', 'investigate', 'the', 'sensitivity', 'of', 'dilepton', 'spectra', 'to', 'the', 'critical', 'temperature', 'and', 'hadrochemical', 'freezeout', 'of', 'the', 'fireball', 'the', 'rho', 'broadening', 'in', 'the', 'lmr', 'turns', 'out', 'to', 'be', 'robust', 'while', 'in', 'the', 'imr', 'quarkgluon', 'plasma', 'radiation', 'is', 'moderate', 'unless', 'the', 'critical', 'temperature', 'is', 'rather', 'low']] | [-0.08122074506632014, 0.2420828586042769, -0.129471755477783, 0.11889050672733469, -0.00475552696143048, -0.083324715735574, 0.022301153661530525, 0.3491030754597827, -0.18004849489175212, -0.26275419636980674, -0.048822963058272925, -0.33296405965344006, 0.07537754097396172, 0.14556050677373472, 0.04407168828026338, 0.02551316081920303, 0.06253765797868494, -0.01143258138842209, -0.02799109655085781, -0.147404420615859, 0.30934539162000396, 0.11397394118639717, 0.1902645108343453, 0.14948266132574406, 0.02177667947434515, 0.004786159242999541, -0.05668324923794526, -0.026217293547710678, -0.1395200370501638, -0.005895613057068434, 0.24126113655873896, 0.03316348624133245, 0.1407227488148759, -0.3156125508325144, -0.19689274699137102, 0.13313882604201294, 0.1600687593232638, 0.015090845467057079, -0.04666215591631223, -0.2576133532585103, 0.0939603847724416, -0.21834695864789433, -0.1099949530764773, -0.023897153563934882, 0.011841108766766112, -0.050635141797877134, -0.33171662794555856, 0.15261888659566825, 0.0020104325774839516, 0.05005633139852926, -0.06143205362127819, -0.17675064585064768, -0.05476226881776219, -0.016920820945400563, 0.08860545924418133, 0.07438166155365342, 0.22170335311942627, -0.19368373756688165, -0.08746496207638048, 0.387787705848421, -0.11052984217674182, -0.05591728803549023, 0.14151939829872523, -0.22939987839810305, -0.12629944781513244, 0.24350205268978034, 0.1634823817618527, 0.09701129273305358, -0.18204036126195713, 0.06460676091299945, 0.023536152588050873, 0.16808548267381113, 0.06410019940574516, 0.06980645432483217, 0.23896886090190744, 0.1782665020999972, -0.06293924010313902, 0.10435450693247, -0.12379343687751346, -0.052224519122468276, -0.36380327849450417, -0.09108080868380236, -0.11472807758961057, 0.1000485716790312, -0.1193910408576022, -0.08232890269847884, 0.35482522194105826, 0.0933646886231622, 0.28719494717394106, -0.0006119665435942837, 0.3174749117966772, 0.12104447581280466, 0.020089707868941868, 0.11802212249861695, 0.3015398441348225, 0.20734656480003577, 0.19046414486126836, -0.28623967250278526, 0.04498542924258919, -0.007094549754687936] |
711.3445 | Finite size corrections in the Sherrington-Kirkpatrick model | We argue that when the number of spins $N$ in the SK model is finite, the
Parisi scheme can be terminated after $K$ replica-symmetry breaking steps,
where $K(N) \propto N^{1/6}$. We have checked this idea by Monte Carlo
simulations: we expect the typical number of peaks and features $R$ in the
(non-bond averaged) Parisi overlap function $P_J(q)$ to be of order $2K(N)$,
and our counting (for samples of size $N$ up to 4096 spins) gives results which
are consistent with our arguments. We can estimate the leading finite size
correction for any thermodynamic quantity by finding its $K$ dependence in the
Parisi scheme and then replacing $K$ by K(N). Our predictions of how the
Edwards-Anderson order parameter and the internal energy of the system approach
their thermodynamic limit compare well with the results of our Monte Carlo
simulations. The $N$-dependence of the sample-to-sample fluctuations of
thermodynamic quantities can also be obtained; the total internal energy should
have sample-to-sample fluctuations of order $N^{1/6}$, which is again
consistent with the results of our numerical simulations.
| cond-mat.dis-nn | we argue that when the number of spins n in the sk model is finite the parisi scheme can be terminated after k replicasymmetry breaking steps where kn propto n16 we have checked this idea by monte carlo simulations we expect the typical number of peaks and features r in the nonbond averaged parisi overlap function p_jq to be of order 2kn and our counting for samples of size n up to 4096 spins gives results which are consistent with our arguments we can estimate the leading finite size correction for any thermodynamic quantity by finding its k dependence in the parisi scheme and then replacing k by kn our predictions of how the edwardsanderson order parameter and the internal energy of the system approach their thermodynamic limit compare well with the results of our monte carlo simulations the ndependence of the sampletosample fluctuations of thermodynamic quantities can also be obtained the total internal energy should have sampletosample fluctuations of order n16 which is again consistent with the results of our numerical simulations | [['we', 'argue', 'that', 'when', 'the', 'number', 'of', 'spins', 'n', 'in', 'the', 'sk', 'model', 'is', 'finite', 'the', 'parisi', 'scheme', 'can', 'be', 'terminated', 'after', 'k', 'replicasymmetry', 'breaking', 'steps', 'where', 'kn', 'propto', 'n16', 'we', 'have', 'checked', 'this', 'idea', 'by', 'monte', 'carlo', 'simulations', 'we', 'expect', 'the', 'typical', 'number', 'of', 'peaks', 'and', 'features', 'r', 'in', 'the', 'nonbond', 'averaged', 'parisi', 'overlap', 'function', 'p_jq', 'to', 'be', 'of', 'order', '2kn', 'and', 'our', 'counting', 'for', 'samples', 'of', 'size', 'n', 'up', 'to', '4096', 'spins', 'gives', 'results', 'which', 'are', 'consistent', 'with', 'our', 'arguments', 'we', 'can', 'estimate', 'the', 'leading', 'finite', 'size', 'correction', 'for', 'any', 'thermodynamic', 'quantity', 'by', 'finding', 'its', 'k', 'dependence', 'in', 'the', 'parisi', 'scheme', 'and', 'then', 'replacing', 'k', 'by', 'kn', 'our', 'predictions', 'of', 'how', 'the', 'edwardsanderson', 'order', 'parameter', 'and', 'the', 'internal', 'energy', 'of', 'the', 'system', 'approach', 'their', 'thermodynamic', 'limit', 'compare', 'well', 'with', 'the', 'results', 'of', 'our', 'monte', 'carlo', 'simulations', 'the', 'ndependence', 'of', 'the', 'sampletosample', 'fluctuations', 'of', 'thermodynamic', 'quantities', 'can', 'also', 'be', 'obtained', 'the', 'total', 'internal', 'energy', 'should', 'have', 'sampletosample', 'fluctuations', 'of', 'order', 'n16', 'which', 'is', 'again', 'consistent', 'with', 'the', 'results', 'of', 'our', 'numerical', 'simulations']] | [-0.11167698818651926, 0.1713660238256861, -0.11363956759107767, 0.04876048285366074, 0.019912186975057932, -0.07846701317709047, 0.07214989798746443, 0.34290058115184996, -0.21366593294986927, -0.34644218779174407, 0.06377045838821765, -0.32322161665153987, -0.07720972786656166, 0.1567391138941028, 0.03027734193800157, 0.05848025234457848, 0.015399834970173809, 0.04655365430954521, -0.09657040309710051, -0.2657090516093408, 0.2601564351946716, 0.09462269205556956, 0.23631734349441882, 0.05949894379759799, 0.04918020267599408, -0.022810773189163448, 0.012505532290808039, 0.049620025635783084, -0.19233531000065204, 0.05518896840889588, 0.22289709123982, 0.05617305661707772, 0.2181303630168469, -0.40370369607830325, -0.20526601284247087, 0.10677684368188843, 0.1601044725804358, 0.1318847068297445, 0.017460804787932792, -0.23744935602369593, 0.11743873548747788, -0.18974898455696815, -0.16535642325832384, -0.1027367399424056, 0.001348871853460983, 0.04967287755598222, -0.29153318925036625, 0.1044628863090668, 0.046871353661496126, 0.032207092921642554, -0.0221886276607294, -0.1328476334732252, -0.05648119048877603, 0.09322867549116712, 0.06706929807160911, 0.0369287638311312, 0.10746721952959809, -0.07687877112262037, -0.11077836479700973, 0.3430021649409581, -0.047350254742229474, -0.16366224666630763, 0.13251124613923748, -0.15717616383621544, -0.12907372570914255, 0.14881010921846946, 0.08585748875330639, 0.12938600011685367, -0.08550320035480892, 0.11557385205517313, -0.03615618737635197, 0.19214459126438363, -0.0006196151374478561, 0.01679780063181685, 0.146451672862117, 0.1379533483272666, 0.007250975989709699, 0.1517358797802886, -0.10133765587136365, -0.13058785229619874, -0.3350196595780142, -0.12839847436104768, -0.24233718748834265, 0.06342248281603949, -0.17977369212743294, -0.11261987896646895, 0.3359853648756832, 0.2069985787263086, 0.20234078177482406, 0.11442641057935408, 0.24394576443962193, 0.14835214678459194, 0.04710241602168478, 0.08218403299462933, 0.1785454190998322, 0.12971184551016013, 0.03291404251052293, -0.28628979091912055, 0.04155171668827211, 0.07605016655611639] |
711.3446 | Dissociation by acceleration | We show that mesons, described using rotating relativistic strings in a
holographic setup, undergo dissociation when their acceleration 'a' exceeds a
value which scales with the angular momentum 'J' as a_max ~ \sqrt{T_s/J}, where
'T_s' is the string tension.
| hep-th hep-ph nucl-th | we show that mesons described using rotating relativistic strings in a holographic setup undergo dissociation when their acceleration a exceeds a value which scales with the angular momentum j as a_max sqrtt_sj where t_s is the string tension | [['we', 'show', 'that', 'mesons', 'described', 'using', 'rotating', 'relativistic', 'strings', 'in', 'a', 'holographic', 'setup', 'undergo', 'dissociation', 'when', 'their', 'acceleration', 'a', 'exceeds', 'a', 'value', 'which', 'scales', 'with', 'the', 'angular', 'momentum', 'j', 'as', 'a_max', 'sqrtt_sj', 'where', 't_s', 'is', 'the', 'string', 'tension']] | [-0.16211968121697773, 0.3030709787271917, -0.10321440298512981, 0.06369006746083598, -0.03767121949459653, -0.15272225411860524, 0.00743928793314341, 0.32100205475816856, -0.2184356227517128, -0.2585929298924433, -0.013486012341328771, -0.2924966483905509, 0.019107500040853344, 0.14504765155347618, 0.04585013792824906, -0.01944137691847376, 0.034113146566055914, 0.06952729783448819, -0.08118994040037128, -0.15009125704700882, 0.2883393729760035, 0.08366826028135177, 0.23260236299687972, 0.0541593136039336, 0.11179650493746472, -0.01819500377452051, 0.06633899829073532, 0.09672628370793285, -0.19308215202987855, -0.021087495081529423, 0.21017361045311633, 0.048257802889959234, 0.16538081559780482, -0.3849076818473436, -0.2365213436250751, 0.07750419834376993, 0.1772697859921971, 0.1350691573839081, -0.02454302311447021, -0.2050492621052104, 0.010048691070059667, -0.16039266782762432, -0.12257294782210847, -0.03735263185021845, 0.11039700258422543, 0.009119102378954759, -0.2775203009840806, 0.16324383209182605, 0.026748144797779417, 0.012392903136945254, -0.056667608599102984, -0.0901499387833315, -0.0388256833964103, -0.02747647592882827, 0.1253207409943177, 0.18308319346475843, 0.19098068036239696, -0.16956358775496483, -0.08154695085879113, 0.424790121413566, -0.09339345511476937, -0.21284443749165213, 0.11253914676254263, -0.1800280365136427, -0.0958059886470437, 0.12635217732875734, 0.10050397263084715, 0.1554075747703177, -0.07302903854233099, 0.10344592147098533, -0.025512536635269988, 0.1836530313499876, 0.17152402701007352, 0.06363812110361618, 0.2886934266803232, 0.1826870372185383, -0.04435042729852973, 0.10403566404774382, -0.11406088262997768, -0.10177321772317628, -0.356690379312715, -0.10997485251140755, -0.2058930759494369, 0.12776519106449308, -0.09286283115176736, -0.096636348882237, 0.26031723930626305, 0.08341144011481791, 0.3130347049115477, 0.06132456033830405, 0.2675351630392912, 0.09404024645069463, 0.05222098080667894, 0.1992473395767848, 0.2757840131289905, 0.11201900929665647, 0.1432792937534081, -0.3057073410883596, -0.07551579595216222, 0.10086954924957575] |
711.3447 | The Structure of E6 | We present the subalgebra structure of sl(3,O), a particular real form of E6
chosen for its relevance to particle physics through the connection between its
associated Lie group SL(3,O) and generalized Lorentz groups. Given the
complications related to the non-associativity of the octonions O and the
restriction to working with a real form of E6, we find that the traditional
methods used to study Lie algebras must be modified for our purposes. We use an
explicit representation of the Lie group SL(3,O) to produce the multiplication
table of the corresponding algebra sl(3,O). Both the multiplication table and
the group are then utilized to find subalgebras of sl(3,O). In particular, we
identify various subalgebras of the form sl(n, F) and su(n, F) within sl(3,O)
and we also find algebras corresponding to generalized Lorentz groups. Methods
based upon automorphisms of complex Lie algebras are developed to find less
obvious subalgebras of sl(3,O). While we focus on the subalgebra structure of
our real form of E6, these methods may also be used to study the subalgebra
structure of any other real form of E6. A maximal set of simultaneously
measurable observables in physics corresponds to a maximal set of Casimir
operators in the Lie algebra. We not only identify six Casimir operators in E6,
but produce a nested sequence of subalgebras and Casimir operators in E6
containing both su(3)+su(2)+u(1) corresponding to the Standard Model and the
Lorentz group of special relativity.
| math.RA math-ph math.MP | we present the subalgebra structure of sl3o a particular real form of e6 chosen for its relevance to particle physics through the connection between its associated lie group sl3o and generalized lorentz groups given the complications related to the nonassociativity of the octonions o and the restriction to working with a real form of e6 we find that the traditional methods used to study lie algebras must be modified for our purposes we use an explicit representation of the lie group sl3o to produce the multiplication table of the corresponding algebra sl3o both the multiplication table and the group are then utilized to find subalgebras of sl3o in particular we identify various subalgebras of the form sln f and sun f within sl3o and we also find algebras corresponding to generalized lorentz groups methods based upon automorphisms of complex lie algebras are developed to find less obvious subalgebras of sl3o while we focus on the subalgebra structure of our real form of e6 these methods may also be used to study the subalgebra structure of any other real form of e6 a maximal set of simultaneously measurable observables in physics corresponds to a maximal set of casimir operators in the lie algebra we not only identify six casimir operators in e6 but produce a nested sequence of subalgebras and casimir operators in e6 containing both su3su2u1 corresponding to the standard model and the lorentz group of special relativity | [['we', 'present', 'the', 'subalgebra', 'structure', 'of', 'sl3o', 'a', 'particular', 'real', 'form', 'of', 'e6', 'chosen', 'for', 'its', 'relevance', 'to', 'particle', 'physics', 'through', 'the', 'connection', 'between', 'its', 'associated', 'lie', 'group', 'sl3o', 'and', 'generalized', 'lorentz', 'groups', 'given', 'the', 'complications', 'related', 'to', 'the', 'nonassociativity', 'of', 'the', 'octonions', 'o', 'and', 'the', 'restriction', 'to', 'working', 'with', 'a', 'real', 'form', 'of', 'e6', 'we', 'find', 'that', 'the', 'traditional', 'methods', 'used', 'to', 'study', 'lie', 'algebras', 'must', 'be', 'modified', 'for', 'our', 'purposes', 'we', 'use', 'an', 'explicit', 'representation', 'of', 'the', 'lie', 'group', 'sl3o', 'to', 'produce', 'the', 'multiplication', 'table', 'of', 'the', 'corresponding', 'algebra', 'sl3o', 'both', 'the', 'multiplication', 'table', 'and', 'the', 'group', 'are', 'then', 'utilized', 'to', 'find', 'subalgebras', 'of', 'sl3o', 'in', 'particular', 'we', 'identify', 'various', 'subalgebras', 'of', 'the', 'form', 'sln', 'f', 'and', 'sun', 'f', 'within', 'sl3o', 'and', 'we', 'also', 'find', 'algebras', 'corresponding', 'to', 'generalized', 'lorentz', 'groups', 'methods', 'based', 'upon', 'automorphisms', 'of', 'complex', 'lie', 'algebras', 'are', 'developed', 'to', 'find', 'less', 'obvious', 'subalgebras', 'of', 'sl3o', 'while', 'we', 'focus', 'on', 'the', 'subalgebra', 'structure', 'of', 'our', 'real', 'form', 'of', 'e6', 'these', 'methods', 'may', 'also', 'be', 'used', 'to', 'study', 'the', 'subalgebra', 'structure', 'of', 'any', 'other', 'real', 'form', 'of', 'e6', 'a', 'maximal', 'set', 'of', 'simultaneously', 'measurable', 'observables', 'in', 'physics', 'corresponds', 'to', 'a', 'maximal', 'set', 'of', 'casimir', 'operators', 'in', 'the', 'lie', 'algebra', 'we', 'not', 'only', 'identify', 'six', 'casimir', 'operators', 'in', 'e6', 'but', 'produce', 'a', 'nested', 'sequence', 'of', 'subalgebras', 'and', 'casimir', 'operators', 'in', 'e6', 'containing', 'both', 'su3su2u1', 'corresponding', 'to', 'the', 'standard', 'model', 'and', 'the', 'lorentz', 'group', 'of', 'special', 'relativity']] | [-0.12678409122492537, 0.05429075725033009, -0.06041337244335674, 0.07664231217234446, -0.15154813722027505, -0.10260938108949784, 0.00257328876641968, 0.3899294777443232, -0.285082896224337, -0.24920424797379642, 0.1085775274766672, -0.23438339381376067, -0.1401435368274877, 0.2056104918516473, -0.07935195315515285, -0.03274451285445442, 0.023466406430349633, 0.1493833505878626, -0.15400935374966623, -0.23856872395329365, 0.38682951300330304, -0.01782553512131489, 0.22905812991531527, -0.029238537869530137, 0.08713713461800404, -0.03151047678530719, -0.0303895119292748, -0.04710838168207163, -0.09738357018455022, 0.1531026191137071, 0.2553923841455818, 0.08810005709921886, 0.1818340914204809, -0.39615851166001853, -0.09729423935874856, 0.18758248913255107, 0.15575248262656358, 0.03133958636955967, -0.05344230667363758, -0.29118408743716495, 0.06040169345214963, -0.234975681746799, -0.12527112015778444, -0.10074851245164747, 0.041979745742648775, -0.03934597438776017, -0.23209074805249982, 0.04390489706501388, 0.027224399944830474, 0.10788768526551781, -0.07218803081244922, -0.1274664086964618, -0.0602252060308746, 0.1205451204726386, -0.016830381863153214, -0.017286538663182707, 0.15576151934479862, -0.09584071552616698, -0.16417305978046504, 0.456260389636589, -0.003191088988418192, -0.2428890881865415, 0.15940410500875662, -0.21091143055602846, -0.1823953235529772, 0.05921192504789775, 0.13147104973610066, 0.09860886807478807, -0.10227226489788424, 0.16454755067938295, -0.10244450702052957, 0.04848864238870326, 0.03774577407225306, -0.008149450550048381, 0.13881562304985612, 0.07328387260444871, 0.02907985034457679, 0.09502158779871968, 0.03705610356952814, -0.025028175642941825, -0.3799192448881482, -0.18193336154868678, -0.08275008983399232, 0.07833441491500338, -0.0954135645428139, -0.18069719246054217, 0.42105530359082805, 0.13801984467203748, 0.20500194093699758, 0.04327480606246005, 0.17427091981099627, 0.07888846082491545, 0.1820870707015888, 0.05332391478346252, 0.16224699122006003, 0.2249428038979008, -0.02834318730221739, -0.19170282038816797, -0.08908115156910495, 0.16103204138152585] |
711.3448 | Reminiscence on the Birth of String Theory | These are my personal impressions of the environment in which string theory
was born, and what the important developments affecting my work were during the
hadronic string era, 1968-1974. I discuss my motivations and concerns at the
time, particularly in my work on loop amplitudes and on closed strings.
| hep-th | these are my personal impressions of the environment in which string theory was born and what the important developments affecting my work were during the hadronic string era 19681974 i discuss my motivations and concerns at the time particularly in my work on loop amplitudes and on closed strings | [['these', 'are', 'my', 'personal', 'impressions', 'of', 'the', 'environment', 'in', 'which', 'string', 'theory', 'was', 'born', 'and', 'what', 'the', 'important', 'developments', 'affecting', 'my', 'work', 'were', 'during', 'the', 'hadronic', 'string', 'era', '19681974', 'i', 'discuss', 'my', 'motivations', 'and', 'concerns', 'at', 'the', 'time', 'particularly', 'in', 'my', 'work', 'on', 'loop', 'amplitudes', 'and', 'on', 'closed', 'strings']] | [-0.10404867111355998, 0.1929199320729822, -0.10494721844831172, 0.11787519879241397, -0.1120749261463061, -0.10563603377280135, 0.0354740761370825, 0.3296135886339471, -0.1717851463278445, -0.3020620928922047, 0.1198445072271473, -0.3057847352756653, -0.14383479214787562, 0.1438685394047449, -0.1299714018823579, -0.023066407050161313, 0.08565102760136749, 0.09936280240071937, 0.004436835695135717, -0.3522339921134214, 0.3558523906879903, 0.122209023781276, 0.26117336967339116, 0.1040751717130964, 0.024015014574009303, 0.0053893917162592215, -0.1484557264484465, -0.05603230763032722, -0.1342499891955716, 0.14446545946945358, 0.2659248912435335, 0.16610979034157936, 0.2490495122425879, -0.530802054485927, -0.14791373184804493, -0.0047405308578163385, 0.140890074360262, 0.13147321167586293, 0.003604226585594006, -0.31130225126010674, 0.03296945066783034, -0.12372072033273677, -0.10968284417564671, 0.014398980061135566, 0.08763334271498024, -0.029227244968448456, -0.0765969322140639, 0.0014690119423903525, 0.05132995328555504, 0.06549399908787261, -0.01798099507383692, -0.17427905420966758, 0.10134792076617789, 0.13681119272951037, 0.1519565541918079, 0.09343817632179707, 0.15036924337618984, -0.16602016758406535, -0.14497367589501664, 0.3750809920359946, 0.006896897325835501, -0.057539832952897996, 0.1250080362854836, -0.15831862840180597, -0.218638249556534, 0.03556602339570721, 0.1625900446282079, 0.099970680118228, -0.17491223672792935, 0.15202515447769352, 0.07916327036218718, 0.1013272146616752, 0.09663135867837506, 0.03527096740435809, 0.31186401987603557, 0.12422681234117287, -0.13447801660610517, 0.03434148652013391, -0.010357480602882182, -0.16630815821311748, -0.4148422932097067, -0.13195669053917905, -0.08622555559365234, 0.0853330187528627, 0.02273527974314978, -0.10607994731981307, 0.3829795969262098, 0.1642201627837494, 0.1276676181005314, -0.0026182639194303192, 0.27908816328272223, 0.04338588609243743, -0.005939752018700044, 0.05499558804634338, 0.2256648321636021, 0.0742659748114723, 0.21293494794129705, -0.163121525287958, 0.07490085398118633, 0.08162603864911944] |
711.3449 | Lexicon management and standard formats | International standards for lexicon formats are in preparation. To a certain
extent, the proposed formats converge with prior results of standardization
projects. However, their adequacy for (i) lexicon management and (ii)
lexicon-driven applications have been little debated in the past, nor are they
as a part of the present standardization effort. We examine these issues. IGM
has developed XML formats compatible with the emerging international standards,
and we report experimental results on large-coverage lexica.
| cs.CL | international standards for lexicon formats are in preparation to a certain extent the proposed formats converge with prior results of standardization projects however their adequacy for i lexicon management and ii lexicondriven applications have been little debated in the past nor are they as a part of the present standardization effort we examine these issues igm has developed xml formats compatible with the emerging international standards and we report experimental results on largecoverage lexica | [['international', 'standards', 'for', 'lexicon', 'formats', 'are', 'in', 'preparation', 'to', 'a', 'certain', 'extent', 'the', 'proposed', 'formats', 'converge', 'with', 'prior', 'results', 'of', 'standardization', 'projects', 'however', 'their', 'adequacy', 'for', 'i', 'lexicon', 'management', 'and', 'ii', 'lexicondriven', 'applications', 'have', 'been', 'little', 'debated', 'in', 'the', 'past', 'nor', 'are', 'they', 'as', 'a', 'part', 'of', 'the', 'present', 'standardization', 'effort', 'we', 'examine', 'these', 'issues', 'igm', 'has', 'developed', 'xml', 'formats', 'compatible', 'with', 'the', 'emerging', 'international', 'standards', 'and', 'we', 'report', 'experimental', 'results', 'on', 'largecoverage', 'lexica']] | [-0.07597046694399355, 0.03217801292847893, -0.012768412397995796, 0.056032930641141655, -0.1266092234482504, -0.11169721249950258, 0.05208978431669306, 0.4789071680135923, -0.1869305886124095, -0.3083200096471669, 0.176880729534625, -0.27756272730966136, -0.09462454363588907, 0.19422642309984114, -0.11949037717119472, 0.09501918247097159, 0.10665881011175783, -0.01603969089584808, -0.07929494254425015, -0.29808907458329037, 0.30883933379225537, 0.10773026578013517, 0.39565350678558014, 0.040559719466566016, 0.02605115541907614, -0.07920995298517894, -0.17445666974486962, -0.06003463842382986, -0.11700842236104893, 0.1671859505905272, 0.3677579067800551, 0.27940242099958434, 0.32718394084336005, -0.43768929036921017, -0.19908832450244218, 0.03534689027025071, 0.11782570965332936, 0.08465350632976791, -0.08378154818408752, -0.29280967627690263, 0.05454141996826415, -0.2586567446091914, -0.0695405475387018, -0.09681217461722354, 0.04209087948531729, 0.07168124902400201, -0.19308741955877576, -0.003047529601632324, 0.022505010487766913, 0.1475582187867736, -0.059512089848620435, -0.1705069008717084, 0.016168695357819535, 0.16709233840850934, 0.05399170369930463, 0.008853228033954047, 0.09168950888034824, -0.13928751394229189, -0.1725783649264286, 0.41593312186329334, -0.024821005327856704, -0.1459944981647885, 0.17816258696456477, -0.06998310219624067, -0.17563936937830016, 0.0022779170372714736, 0.17598011049965065, -0.02400290246491563, -0.1417289129522157, 0.10239716758792072, -0.0065403725211955095, 0.20440200285041984, 0.07865290241060804, 0.07194600432907065, 0.20710896789925556, 0.21029963655626938, -0.03657521326286233, 0.062247329410675865, -0.03808688805183421, -0.05711814069048795, -0.25758192704811894, -0.12352602630981231, -0.06895592659456681, -0.03909943810000709, 0.045874350557936205, -0.19476192929360964, 0.3415399070522965, 0.1845327707594388, 0.08350521405801585, 0.010986529954083979, 0.3233424449365025, 0.019001060954856444, 0.13463523968327026, 0.07903076843031656, 0.22903461708393816, 0.04692684009365023, 0.2306140553882371, -0.09607020007647345, 0.16194562932910167, 0.0008111488790098221] |
711.345 | Matching Chiral Perturbation Theory and the Dispersive Representation of
the Scalar Kpi Form Factor | We perform a matching of the two loop-chiral perturbation theory
representation of the scalar Kpi form factor to a dispersive one. Knowing the
value of F_K/F_pi and f_+(0) in the Standard Model (SM) allows to determine two
O(p^6) LECs, the slope of the scalar form factor and the deviation of the
Callan-Treiman theorem. Going beyond the SM and assuming the knowledge of the
slope of the scalar form factor from experiment, the matching allows us to
determine the ratio of F_K/F_pi, f_+(0), a certain combination of non-standard
couplings, the deviation of the Callan-Treiman theorem and the two O(p^6) LECs.
| hep-ph hep-ex hep-lat nucl-ex nucl-th | we perform a matching of the two loopchiral perturbation theory representation of the scalar kpi form factor to a dispersive one knowing the value of f_kf_pi and f_0 in the standard model sm allows to determine two op6 lecs the slope of the scalar form factor and the deviation of the callantreiman theorem going beyond the sm and assuming the knowledge of the slope of the scalar form factor from experiment the matching allows us to determine the ratio of f_kf_pi f_0 a certain combination of nonstandard couplings the deviation of the callantreiman theorem and the two op6 lecs | [['we', 'perform', 'a', 'matching', 'of', 'the', 'two', 'loopchiral', 'perturbation', 'theory', 'representation', 'of', 'the', 'scalar', 'kpi', 'form', 'factor', 'to', 'a', 'dispersive', 'one', 'knowing', 'the', 'value', 'of', 'f_kf_pi', 'and', 'f_0', 'in', 'the', 'standard', 'model', 'sm', 'allows', 'to', 'determine', 'two', 'op6', 'lecs', 'the', 'slope', 'of', 'the', 'scalar', 'form', 'factor', 'and', 'the', 'deviation', 'of', 'the', 'callantreiman', 'theorem', 'going', 'beyond', 'the', 'sm', 'and', 'assuming', 'the', 'knowledge', 'of', 'the', 'slope', 'of', 'the', 'scalar', 'form', 'factor', 'from', 'experiment', 'the', 'matching', 'allows', 'us', 'to', 'determine', 'the', 'ratio', 'of', 'f_kf_pi', 'f_0', 'a', 'certain', 'combination', 'of', 'nonstandard', 'couplings', 'the', 'deviation', 'of', 'the', 'callantreiman', 'theorem', 'and', 'the', 'two', 'op6', 'lecs']] | [-0.12811547519736544, 0.09157814987345922, -0.11261792272823501, 0.09474414889225546, -0.08085259504388181, -0.10577383211205657, 0.10678187839815165, 0.23174443154842878, -0.26259806762658516, -0.3048086917046838, 0.009585818488445436, -0.3057725151329021, -0.06731641716893991, 0.12391900183509427, 0.06467064545128723, 0.08545459056159063, 0.0036076919427521677, 0.09761412641299623, -0.1125955269196812, -0.17210371149893927, 0.3419868936904763, 0.003143484680438224, 0.23227937211406094, 0.06877890293847541, 0.047119749253805805, 0.037566648800952396, -0.04498905403425499, -0.0713619384439472, -0.18282703484161472, 0.16440166434159084, 0.15423962023413304, 0.08677007062170579, 0.18479371713284326, -0.32826437709891065, -0.10476273077787185, 0.12440206546678531, 0.0942483758173731, 0.09295259011738306, 0.06723378834371664, -0.2397882773217802, 0.08453123593626886, -0.1525931452728846, -0.18730571933983997, -0.07148691084311933, -0.08688249328762901, -0.07707172928957687, -0.3825813439788715, 0.10339319486912264, 0.015832957450528533, 0.002631663819965051, -0.019712582060696596, -0.19786751686063195, 0.022040020862157096, 0.1333904290020618, 0.15364037215892626, 0.033735177408409665, 0.15010214306661213, -0.1971677126320155, -0.07047628798897435, 0.4188587209779997, -0.16253551876894673, -0.16050166721284695, 0.06888520925742936, -0.17763872428474073, -0.11652560051434378, 0.10426294424438051, 0.14581236342082218, 0.0547329132654229, -0.1368866770205145, 0.16528251179617506, -0.03217141767393569, 0.21283620215800345, 0.1450655792022542, 0.011721907126508196, 0.15831780851799615, 0.11056684178290699, 0.010017990087139972, 0.04220199665738916, -0.053236345653612245, -0.09995050728321075, -0.3894973887054592, -0.11628263032215895, -0.10344359498086138, 0.07442353146948985, -0.18247584500575761, -0.14797127557614323, 0.4122108338728585, 0.116052754460929, 0.22072659383470916, 0.08735780525306354, 0.2669440038046058, 0.14303372443026427, 0.08199341588520578, 0.02239119624528958, 0.33259834990627607, 0.2233983041737609, 0.05363190408834085, -0.24270462923996836, -0.022135148174129426, 0.09878232464793005] |
711.3451 | Linear bound for the dyadic paraproduct on weighted Lebesgue space
$L_2(w)$ | The dyadic paraproduct is bounded in weighted Lebesgue spaces $L_p(w)$ if and
only if the weight $w$ belongs to the Muckenhoupt class $A_p^d$. However, the
sharp bounds on the norm of the dyadic paraproduct are not known even in the
simplest $L_2(w)$ case. In this paper we prove the linear bound on the norm of
the dyadic paraproduct in the weighted Lebesgue space $L_2(w)$ using Bellman
function techniques and extrapolate this result to the $L_p(w)$ case.
| math.FA | the dyadic paraproduct is bounded in weighted lebesgue spaces l_pw if and only if the weight w belongs to the muckenhoupt class a_pd however the sharp bounds on the norm of the dyadic paraproduct are not known even in the simplest l_2w case in this paper we prove the linear bound on the norm of the dyadic paraproduct in the weighted lebesgue space l_2w using bellman function techniques and extrapolate this result to the l_pw case | [['the', 'dyadic', 'paraproduct', 'is', 'bounded', 'in', 'weighted', 'lebesgue', 'spaces', 'l_pw', 'if', 'and', 'only', 'if', 'the', 'weight', 'w', 'belongs', 'to', 'the', 'muckenhoupt', 'class', 'a_pd', 'however', 'the', 'sharp', 'bounds', 'on', 'the', 'norm', 'of', 'the', 'dyadic', 'paraproduct', 'are', 'not', 'known', 'even', 'in', 'the', 'simplest', 'l_2w', 'case', 'in', 'this', 'paper', 'we', 'prove', 'the', 'linear', 'bound', 'on', 'the', 'norm', 'of', 'the', 'dyadic', 'paraproduct', 'in', 'the', 'weighted', 'lebesgue', 'space', 'l_2w', 'using', 'bellman', 'function', 'techniques', 'and', 'extrapolate', 'this', 'result', 'to', 'the', 'l_pw', 'case']] | [-0.04713983216465244, 0.10483097832184285, -0.021186719946854282, 0.14795209960720968, -0.0836362140899938, -0.08056804625731376, 0.04175509881396364, 0.33930459649612504, -0.36353515181690454, -0.14149613161053923, 0.14117841082043014, -0.29175586252111113, -0.1367015636060387, 0.1992338233265198, -0.14766687885599417, 0.08119938487652689, 0.04427111132018682, 0.11913192487392937, -0.10508233428117819, -0.3066136109539204, 0.41807835005844635, -0.06532579630665067, 0.21658582095470694, 0.08030589490145859, 0.021594300122362457, 0.04356642372699247, -0.0063803762119884295, -0.06375306934650224, -0.1997341157726219, 0.16515529582587382, 0.2085351156064361, 0.09046627086031044, 0.3357757259444851, -0.3506782971477757, -0.15238966119876649, 0.26513017568666125, 0.09905482424397229, -0.04111762286629528, 0.02884955137010871, -0.28428799839457497, 0.06658619668127762, -0.08830531753806604, -0.13326495709932512, -0.057408919435046196, -0.01731984965994747, 0.042689267499048986, -0.3550974712254376, 0.09832218867571403, 0.14324865854966143, -0.011198156558546342, -0.16883259465167713, -0.16039390175461044, 0.01039992164199551, 0.06519529108967011, 0.0013925680444420625, 0.09941630070130082, 0.02412285592355248, -0.03916415800469824, -0.08753702128564732, 0.33885333381800187, -0.10250531448723955, -0.29820579590482843, 0.09718936439862268, -0.2325192176916365, -0.1412804612741133, 0.01957274774192936, 0.11974093813397405, 0.15795249856698015, -0.07476768772014314, 0.19846255760219517, -0.13532145170029253, 0.11859811928459546, 0.10976820244427977, 0.08957704595781656, -0.017127946614184313, 0.06605746878712024, 0.23180188831045395, 0.15014652638799614, -0.03470994330968501, -0.04085494498576736, -0.32747755645929527, -0.1462083165380237, -0.2708433286493851, 0.03743776202079769, -0.10576447669841905, -0.23413954920801594, 0.351051446043938, 0.07867015270878458, 0.16414387899243998, 0.17653730483208266, 0.2305203459561906, 0.1582024528308668, 0.07159981977504988, 0.06987956747697252, 0.22289276394197563, 0.17790807769698505, 0.1039830479486328, -0.12579379244804537, 0.08071616450979491, 0.25127479913317075] |
711.3452 | In memoriam Maurice Gross | Maurice Gross (1934-2001) was both a great linguist and a pioneer in natural
language processing. This article is written in homage to his memory
| cs.CL | maurice gross 19342001 was both a great linguist and a pioneer in natural language processing this article is written in homage to his memory | [['maurice', 'gross', '19342001', 'was', 'both', 'a', 'great', 'linguist', 'and', 'a', 'pioneer', 'in', 'natural', 'language', 'processing', 'this', 'article', 'is', 'written', 'in', 'homage', 'to', 'his', 'memory']] | [-0.1097767840584983, -0.003585358352764793, -0.08960945111618418, 0.08983568896276309, -0.16219529266590657, -0.10076624211733756, -0.006488948230348204, 0.2879600118461024, -0.24734857273490532, -0.3308456838130951, 0.08204415210259511, -0.2767322456221218, -0.21988992878924246, 0.1727519899242274, -0.31772798907173716, 0.007515482928441918, 0.028302470546053803, 0.06316148473516754, 0.03149952184732841, -0.3364428286643132, 0.13976309189329977, 0.1464511752128601, 0.2352765176607215, 0.07982633894552356, 0.09351531638885321, 0.00022059958428144455, -0.06783751023771323, -0.026145749482447685, -0.040158993119130966, 0.17557127243312803, 0.3267148493424706, 0.19176683542521103, 0.36449830189509236, -0.4109259455910195, -0.16937518763639356, 0.07310480326059801, 0.05828953777318415, 0.08097009247411853, -0.02652561935879614, -0.32602070097852015, 0.026021643258307293, -0.2137226928025484, -0.027561532333493233, -0.06028481631580254, 0.16073259395425735, -0.0481606552215374, -0.16261358214441038, -0.0029760760080534965, 0.131764007712026, 0.13981430726530758, -0.002286217479116243, -0.08776129043215643, 0.08904125213461078, 0.10818934258397507, 0.038208423303845135, 0.15436650375309197, 0.02729706510739482, -0.09766950601632467, -0.11230243248460085, 0.4443758684008018, -0.09130405415983303, -0.16681169451254865, 0.13452694303882512, -0.11557582081498011, -0.19792060352072283, -0.03125320423556411, 0.15532851883250734, 0.04756407836533111, -0.2502071575626083, 0.16864948723536066, -0.05655048730904642, 0.10341171685444273, 0.18468110328135284, -0.07171713301668996, 0.17025010834407547, 0.1711223220007251, -0.11136425019282362, 0.11868889856882363, 0.035037627200717514, -0.06215606561011594, -0.2161318709992844, -0.2890903583687285, -0.18873023027149233, 0.07179116913238945, 0.061194898095614604, -0.08033599696405556, 0.39142576248749444, 0.10697379011822783, 0.10362089247159335, 0.0018801357516128085, 0.2916345933209295, 0.06407207643370265, 0.08751473025135371, 0.0661568239979122, 0.10096905736819557, 0.07958613206510959, 0.32563991723177227, -0.09871311204345978, 0.0760878554011351, 0.04191482674492442] |
711.3453 | A resource-based Korean morphological annotation system | We describe a resource-based method of morphological annotation of written
Korean text. Korean is an agglutinative language. The output of our system is a
graph of morphemes annotated with accurate linguistic information. The language
resources used by the system can be easily updated, which allows us-ers to
control the evolution of the per-formances of the system. We show that
morphological annotation of Korean text can be performed directly with a
lexicon of words and without morpho-logical rules.
| cs.CL | we describe a resourcebased method of morphological annotation of written korean text korean is an agglutinative language the output of our system is a graph of morphemes annotated with accurate linguistic information the language resources used by the system can be easily updated which allows users to control the evolution of the performances of the system we show that morphological annotation of korean text can be performed directly with a lexicon of words and without morphological rules | [['we', 'describe', 'a', 'resourcebased', 'method', 'of', 'morphological', 'annotation', 'of', 'written', 'korean', 'text', 'korean', 'is', 'an', 'agglutinative', 'language', 'the', 'output', 'of', 'our', 'system', 'is', 'a', 'graph', 'of', 'morphemes', 'annotated', 'with', 'accurate', 'linguistic', 'information', 'the', 'language', 'resources', 'used', 'by', 'the', 'system', 'can', 'be', 'easily', 'updated', 'which', 'allows', 'users', 'to', 'control', 'the', 'evolution', 'of', 'the', 'performances', 'of', 'the', 'system', 'we', 'show', 'that', 'morphological', 'annotation', 'of', 'korean', 'text', 'can', 'be', 'performed', 'directly', 'with', 'a', 'lexicon', 'of', 'words', 'and', 'without', 'morphological', 'rules']] | [-0.0723387217088663, 0.014985740452576973, -0.11601022196715916, 0.07756215841025597, -0.1954837982095294, -0.10797437467285759, 0.0870845979926261, 0.4261110724470058, -0.28333452423768385, -0.34779054874118853, 0.0630489732078337, -0.2762753532130903, -0.11627139059173597, 0.18401201604033954, -0.1031096333444312, 0.04683507424960663, 0.15456850294555938, 0.06619993597571436, -0.02830774044049541, -0.2517100821128992, 0.3012737392949835, 0.014085486555447826, 0.30441019401051006, -0.03713824542831968, 0.1290236546101605, -0.07442008538546598, -0.10487910088562927, 0.0060200978179353395, -0.02541315902446702, 0.1945721565370823, 0.35178324246367854, 0.2840601171717628, 0.2690111117848715, -0.3989744856469817, -0.1637386367595815, 0.010027694107674352, 0.1250068334161074, 0.12606620544706798, 0.04163852759769985, -0.3851437252861532, 0.08109777694108425, -0.22559363025470408, 0.03931379427697945, -0.10352074323439753, 0.015838663734785922, 0.04500068152662028, -0.27796452652735565, 0.023981763564001817, 0.11515693339918341, 0.14085506748214557, -0.022819726650040693, -0.06360679398163814, -0.02897767169558286, 0.23765712059042476, -0.0291087910738568, 0.06376697287997593, 0.13829395259041097, -0.13227928209711204, -0.14890046019784428, 0.4219835622647366, -0.07942999442192641, -0.24162228516750522, 0.17313466569432964, -0.05059892588065236, -0.14928241763505842, 0.07457766955258785, 0.1944533024926658, 0.06450259871780872, -0.22921512447684617, 0.02387500770371891, -0.04115700947919062, 0.33848109067260446, 0.0632888880866737, -0.008607739770131838, 0.17962058887562968, 0.24409677276944186, -0.07490110494099654, 0.17462193793254335, -0.04703688918115487, 0.02111270190549216, -0.21348875331051356, -0.17026788314525493, -0.15732033909661333, -0.02863324440822199, -0.09747334655775694, -0.1425725458244273, 0.4219158108575971, 0.1805276043362335, 0.12259602804960042, 0.07065111029947588, 0.2587487575561776, 0.021663882196638975, 0.1361468153515855, 0.05386511456560005, 0.09004204415462234, -0.04116231402345969, 0.17482560816184653, -0.20688446938943167, 0.12860084587236406, 0.082609567979359] |
711.3454 | Graphes param\'etr\'es et outils de lexicalisation | Shifting to a lexicalized grammar reduces the number of parsing errors and
improves application results. However, such an operation affects a syntactic
parser in all its aspects. One of our research objectives is to design a
realistic model for grammar lexicalization. We carried out experiments for
which we used a grammar with a very simple content and formalism, and a very
informative syntactic lexicon, the lexicon-grammar of French elaborated by the
LADL. Lexicalization was performed by applying the parameterized-graph
approach. Our results tend to show that most information in the lexicon-grammar
can be transferred into a grammar and exploited successfully for the syntactic
parsing of sentences.
| cs.CL | shifting to a lexicalized grammar reduces the number of parsing errors and improves application results however such an operation affects a syntactic parser in all its aspects one of our research objectives is to design a realistic model for grammar lexicalization we carried out experiments for which we used a grammar with a very simple content and formalism and a very informative syntactic lexicon the lexicongrammar of french elaborated by the ladl lexicalization was performed by applying the parameterizedgraph approach our results tend to show that most information in the lexicongrammar can be transferred into a grammar and exploited successfully for the syntactic parsing of sentences | [['shifting', 'to', 'a', 'lexicalized', 'grammar', 'reduces', 'the', 'number', 'of', 'parsing', 'errors', 'and', 'improves', 'application', 'results', 'however', 'such', 'an', 'operation', 'affects', 'a', 'syntactic', 'parser', 'in', 'all', 'its', 'aspects', 'one', 'of', 'our', 'research', 'objectives', 'is', 'to', 'design', 'a', 'realistic', 'model', 'for', 'grammar', 'lexicalization', 'we', 'carried', 'out', 'experiments', 'for', 'which', 'we', 'used', 'a', 'grammar', 'with', 'a', 'very', 'simple', 'content', 'and', 'formalism', 'and', 'a', 'very', 'informative', 'syntactic', 'lexicon', 'the', 'lexicongrammar', 'of', 'french', 'elaborated', 'by', 'the', 'ladl', 'lexicalization', 'was', 'performed', 'by', 'applying', 'the', 'parameterizedgraph', 'approach', 'our', 'results', 'tend', 'to', 'show', 'that', 'most', 'information', 'in', 'the', 'lexicongrammar', 'can', 'be', 'transferred', 'into', 'a', 'grammar', 'and', 'exploited', 'successfully', 'for', 'the', 'syntactic', 'parsing', 'of', 'sentences']] | [-0.03706996720463324, 0.04615627996337515, -0.09255405779605588, 0.09538629093283536, -0.16226259319451997, -0.10643772573138659, 0.11855504994925398, 0.3871517786756158, -0.27269932847635714, -0.34520041016646874, 0.02976124029597626, -0.2556022404191586, -0.12646733351553288, 0.22919776415801607, -0.10170718163359337, 0.047023746763163496, 0.1272283837897703, 0.07044999060095646, -0.035747918602562725, -0.2539706384458651, 0.27691655524316816, 0.08402154421380076, 0.30562656438381125, 0.032309574666074835, 0.12281370831456465, -0.0388468453177036, -0.05847421374010782, 0.04964848054358019, -0.06073168381555241, 0.15971188005418158, 0.34906101344117463, 0.2360276667526565, 0.2725434349793851, -0.4241647860214401, -0.17390922420935778, -0.004836979629964424, 0.10321642259637323, 0.14704469057995503, -0.0306074303180839, -0.3265299685120296, 0.11057578671114662, -0.2117108107687762, 0.031237180205957536, -0.12788134951216096, -0.002077781640064831, -0.017325937941607732, -0.2712852585245855, -0.04204361445870465, 0.15705248854031267, 0.05118742175042056, -0.004889178590159505, -0.11885706634403995, -0.01779653077783923, 0.163007488169779, 0.007992308699893048, 0.058972486450399556, 0.11680874376235387, -0.1413683106119816, -0.12049490459657346, 0.4145905030533098, -0.059697859575792864, -0.24435287257298255, 0.1418943448247424, -0.038824038490509756, -0.1885639759980572, 0.0658785392028781, 0.13784628815931052, 0.11806350813892025, -0.16005894331297335, 0.04390092340718883, -0.030343363733174138, 0.24060398929465848, 0.1130014568916522, -0.049033599345980644, 0.16886995949719746, 0.26698200768218017, -0.038560808376552395, 0.17400257631379645, -0.042662833781483084, -0.017987579866222896, -0.2507419519018955, -0.12477697377838783, -0.13220605832779816, -0.05659840218588495, -0.07046862346144805, -0.11778460647194432, 0.4182209686662715, 0.21023185986828488, 0.16119826819228295, 0.10949427173405778, 0.2817335529611088, 0.0434823198570834, 0.14398090977696343, 0.07183103669152703, 0.1265538910206837, 0.05941104894736782, 0.12066746666096151, -0.16788127818234408, 0.11281206511641638, 0.050350739705698706] |
711.3455 | VLBI observations of weak extragalactic radio sources for the alignment
of the future GAIA frame with the ICRF | The space astrometry mission GAIA will construct a dense optical QSO-based
celestial reference frame. For consistency between the optical and radio
positions, it will be important to align the GAIA frame and the International
Celestial Reference Frame (ICRF) with the highest accuracy. Currently, it is
found that only 10% of the ICRF sources are suitable to establish this link,
either because they are not bright enough at optical wavelengths or because
they have significant extended radio emission which precludes reaching the
highest astrometric accuracy. In order to improve the situation, we have
initiated a VLBI survey dedicated to finding additional high-quality radio
sources for aligning the two frames. The sample consists of about 450 sources,
typically 20 times weaker than the current ICRF sources, which have been
selected by cross-correlating optical and radio catalogues. This paper presents
the observing strategy and includes preliminary results of observation of 224
of these sources with the European VLBI Network in June 2007.
| astro-ph | the space astrometry mission gaia will construct a dense optical qsobased celestial reference frame for consistency between the optical and radio positions it will be important to align the gaia frame and the international celestial reference frame icrf with the highest accuracy currently it is found that only 10 of the icrf sources are suitable to establish this link either because they are not bright enough at optical wavelengths or because they have significant extended radio emission which precludes reaching the highest astrometric accuracy in order to improve the situation we have initiated a vlbi survey dedicated to finding additional highquality radio sources for aligning the two frames the sample consists of about 450 sources typically 20 times weaker than the current icrf sources which have been selected by crosscorrelating optical and radio catalogues this paper presents the observing strategy and includes preliminary results of observation of 224 of these sources with the european vlbi network in june 2007 | [['the', 'space', 'astrometry', 'mission', 'gaia', 'will', 'construct', 'a', 'dense', 'optical', 'qsobased', 'celestial', 'reference', 'frame', 'for', 'consistency', 'between', 'the', 'optical', 'and', 'radio', 'positions', 'it', 'will', 'be', 'important', 'to', 'align', 'the', 'gaia', 'frame', 'and', 'the', 'international', 'celestial', 'reference', 'frame', 'icrf', 'with', 'the', 'highest', 'accuracy', 'currently', 'it', 'is', 'found', 'that', 'only', '10', 'of', 'the', 'icrf', 'sources', 'are', 'suitable', 'to', 'establish', 'this', 'link', 'either', 'because', 'they', 'are', 'not', 'bright', 'enough', 'at', 'optical', 'wavelengths', 'or', 'because', 'they', 'have', 'significant', 'extended', 'radio', 'emission', 'which', 'precludes', 'reaching', 'the', 'highest', 'astrometric', 'accuracy', 'in', 'order', 'to', 'improve', 'the', 'situation', 'we', 'have', 'initiated', 'a', 'vlbi', 'survey', 'dedicated', 'to', 'finding', 'additional', 'highquality', 'radio', 'sources', 'for', 'aligning', 'the', 'two', 'frames', 'the', 'sample', 'consists', 'of', 'about', '450', 'sources', 'typically', '20', 'times', 'weaker', 'than', 'the', 'current', 'icrf', 'sources', 'which', 'have', 'been', 'selected', 'by', 'crosscorrelating', 'optical', 'and', 'radio', 'catalogues', 'this', 'paper', 'presents', 'the', 'observing', 'strategy', 'and', 'includes', 'preliminary', 'results', 'of', 'observation', 'of', '224', 'of', 'these', 'sources', 'with', 'the', 'european', 'vlbi', 'network', 'in', 'june', '2007']] | [-0.10483040204037379, 0.07413175266013487, -0.03714810116780313, 0.03869164180019343, -0.12647795958339042, -0.07887197364672269, 0.05618034652068204, 0.49518736385090173, -0.1682635653242703, -0.37331531090228437, 0.13000351171384114, -0.30013033181264903, -0.01607302514068876, 0.21284256634923318, -0.058599432578907824, 0.00721994766660925, 0.13513999006494223, -0.03545778318683166, -0.03665623715756543, -0.24445039205803717, 0.2148786986864658, 0.17422601675216412, 0.25692626047856026, -0.07147639628013584, 0.12105527215303397, -0.05995698211093744, -0.16475731850478728, -0.01656015973582823, -0.06194868288611526, 0.11714590626985491, 0.30675883525572484, 0.11747993381017433, 0.2373268821645739, -0.36038645744335995, -0.18886623041903447, 0.10221170245101617, 0.10367455156871451, 0.07503304935449225, 0.015156312864683804, -0.32643310273792475, 0.08168636779623024, -0.17434459106569067, -0.1449246354219533, 0.019233232024330763, 0.05677178763321736, 0.08699401610958502, -0.19214160119200935, 0.04266468607293407, -0.0072785221756312924, 0.10360026496034935, -0.11898244730707216, -0.09424059694550885, -0.0011812444049982154, 0.15098107659035367, -0.011135368937415615, 0.13598714071639328, 0.08821631283294293, -0.09973748005141721, -0.09202239055511595, 0.4401201092866513, -0.012667304639716973, -0.07122531158442509, 0.19398354507254953, -0.19735409071926707, -0.1806368670988617, 0.1383631044461351, 0.17090318346273084, 0.07314995199488769, -0.19800139171709805, -0.038405667769330194, -0.0028966097454042553, 0.2078356257136091, 0.12619620484282384, 0.12631060231957328, 0.3045500312176234, 0.11859540403498418, 0.08591479573650695, 0.10504044889422637, -0.23612949166318062, -0.0022435797870440305, -0.29493836987669925, -0.06847419626476337, -0.14673970853499835, 0.04719139569237281, -0.05937320370565362, -0.06471878399233387, 0.36286605053739446, 0.16296705291401478, 0.10872995091526061, 0.021372299745339173, 0.32189847825610507, 0.03088168132136453, 0.09726857980815752, 0.09408756832551188, 0.38726681716880706, 0.06011681194480695, 0.13441128572507663, -0.11688836432009372, 0.014034326844292242, 0.0007609051898262411] |
711.3456 | Emergence of clonal selection and affinity maturation in an ab initio
microscopic model of immunity | Mechanisms of immunity, and of the host-pathogen interactions in general are
among the most fundamental problems of medicine, ecology, and evolution
studies. Here, we present a microscopic, protein-level, sequence-based model of
immune system, with explicitly defined interactions between host and pathogen
proteins.. Simulations of this model show that possible outcomes of the
infection (extinction of cells, survival with complete elimination of viruses,
or chronic infection with continuous coexistence of cells and viruses)
crucially depend on mutation rates of the viral and immunoglobulin proteins.
Infection is always lethal if the virus mutation rate exceeds a certain
threshold. Potent immunoglobulins are discovered in this model via clonal
selection and affinity maturation. Surviving cells acquire lasting immunity
against subsequent infection by the same virus strain. As a second line of
defense cells develop apoptosis-like behavior by reducing their lifetimes to
eliminate viruses. These results demonstrate the feasibility of microscopic
sequence-based models of immune system, where population dynamics of the
evolving B-cells is explicitly tied to the molecular properties of their
proteins.
| q-bio.BM q-bio.PE | mechanisms of immunity and of the hostpathogen interactions in general are among the most fundamental problems of medicine ecology and evolution studies here we present a microscopic proteinlevel sequencebased model of immune system with explicitly defined interactions between host and pathogen proteins simulations of this model show that possible outcomes of the infection extinction of cells survival with complete elimination of viruses or chronic infection with continuous coexistence of cells and viruses crucially depend on mutation rates of the viral and immunoglobulin proteins infection is always lethal if the virus mutation rate exceeds a certain threshold potent immunoglobulins are discovered in this model via clonal selection and affinity maturation surviving cells acquire lasting immunity against subsequent infection by the same virus strain as a second line of defense cells develop apoptosislike behavior by reducing their lifetimes to eliminate viruses these results demonstrate the feasibility of microscopic sequencebased models of immune system where population dynamics of the evolving bcells is explicitly tied to the molecular properties of their proteins | [['mechanisms', 'of', 'immunity', 'and', 'of', 'the', 'hostpathogen', 'interactions', 'in', 'general', 'are', 'among', 'the', 'most', 'fundamental', 'problems', 'of', 'medicine', 'ecology', 'and', 'evolution', 'studies', 'here', 'we', 'present', 'a', 'microscopic', 'proteinlevel', 'sequencebased', 'model', 'of', 'immune', 'system', 'with', 'explicitly', 'defined', 'interactions', 'between', 'host', 'and', 'pathogen', 'proteins', 'simulations', 'of', 'this', 'model', 'show', 'that', 'possible', 'outcomes', 'of', 'the', 'infection', 'extinction', 'of', 'cells', 'survival', 'with', 'complete', 'elimination', 'of', 'viruses', 'or', 'chronic', 'infection', 'with', 'continuous', 'coexistence', 'of', 'cells', 'and', 'viruses', 'crucially', 'depend', 'on', 'mutation', 'rates', 'of', 'the', 'viral', 'and', 'immunoglobulin', 'proteins', 'infection', 'is', 'always', 'lethal', 'if', 'the', 'virus', 'mutation', 'rate', 'exceeds', 'a', 'certain', 'threshold', 'potent', 'immunoglobulins', 'are', 'discovered', 'in', 'this', 'model', 'via', 'clonal', 'selection', 'and', 'affinity', 'maturation', 'surviving', 'cells', 'acquire', 'lasting', 'immunity', 'against', 'subsequent', 'infection', 'by', 'the', 'same', 'virus', 'strain', 'as', 'a', 'second', 'line', 'of', 'defense', 'cells', 'develop', 'apoptosislike', 'behavior', 'by', 'reducing', 'their', 'lifetimes', 'to', 'eliminate', 'viruses', 'these', 'results', 'demonstrate', 'the', 'feasibility', 'of', 'microscopic', 'sequencebased', 'models', 'of', 'immune', 'system', 'where', 'population', 'dynamics', 'of', 'the', 'evolving', 'bcells', 'is', 'explicitly', 'tied', 'to', 'the', 'molecular', 'properties', 'of', 'their', 'proteins']] | [-0.10883747648258141, 0.1791675230488181, -0.0004185723359724451, 0.06862441472385726, -0.013483337989679264, -0.20003680477733027, 0.12073527825689556, 0.332021984077912, -0.24412687143107353, -0.22674956496158047, 0.06037946428663047, -0.2695224325892008, -0.29192584576391933, 0.12194750752456174, -0.08774538504093618, -0.035787050385714066, 0.07005608504398274, 0.00406410733048252, 0.12368908546924937, -0.28069192523828257, 0.26561954070836263, 0.06178518980295358, 0.2606665911041423, 0.03736370105664441, 0.09750860645212679, 0.009242090141445308, -0.012264232552041506, -0.0332038062708285, -0.1795589183487258, 0.09650453974626691, 0.2537825017296167, 0.20744636130636324, 0.3214594798753718, -0.46093774613684524, -0.2678469259397846, 0.1384339212958595, 0.17846259613616203, 0.19095287350435813, -0.029673448487737043, -0.24857380597093728, 0.08511441709434692, -0.1651963003366296, -0.14412439277975592, -0.03482614946551621, 0.0250936175255986, 0.10648747392536927, -0.22694061792450038, 0.14199285900172698, 0.00019421198120909538, 0.13014033933666475, -0.10479121537137398, -0.09320505417905703, -0.10402816968194828, 0.21271062309332303, 0.08367259525010798, -0.05798555746351084, 0.24122733381593567, -0.15810755883416017, -0.1434792312939824, 0.34432443821925424, 0.030578268559448823, -0.15657940902328954, 0.23598553580761758, -0.10699033254651565, -0.10567927510619811, 0.17648531203325504, 0.1852427149194287, 0.10539169609546661, -0.20442346455863938, -0.026261663098518406, 0.062059535321495135, 0.1660904683323276, 0.04592377393545505, 0.013498182209490235, 0.17406639800278725, 0.25615799154048996, 0.0027086789849420597, 0.05210372338958174, -0.07283684278247197, -0.11531876892577801, -0.17454339050782655, -0.13225107625110108, -0.10888573801016692, 0.06215286057952702, -0.07905272443999793, -0.20129063812469294, 0.40381358688819907, 0.12350131306395738, 0.14460584512998176, 0.12118933018029271, 0.23050149779454498, -0.020306146297252508, 0.09422333718383473, -0.044520307979184, 0.15826946295641675, 0.09869455222408482, 0.015895113312711793, -0.33278379112103545, 0.22720549627580863, 0.008148237029759737] |
711.3457 | Evaluation of a Grammar of French Determiners | Existing syntactic grammars of natural languages, even with a far from
complete coverage, are complex objects. Assessments of the quality of parts of
such grammars are useful for the validation of their construction. We evaluated
the quality of a grammar of French determiners that takes the form of a
recursive transition network. The result of the application of this local
grammar gives deeper syntactic information than chunking or information
available in treebanks. We performed the evaluation by comparison with a corpus
independently annotated with information on determiners. We obtained 86%
precision and 92% recall on text not tagged for parts of speech.
| cs.CL | existing syntactic grammars of natural languages even with a far from complete coverage are complex objects assessments of the quality of parts of such grammars are useful for the validation of their construction we evaluated the quality of a grammar of french determiners that takes the form of a recursive transition network the result of the application of this local grammar gives deeper syntactic information than chunking or information available in treebanks we performed the evaluation by comparison with a corpus independently annotated with information on determiners we obtained 86 precision and 92 recall on text not tagged for parts of speech | [['existing', 'syntactic', 'grammars', 'of', 'natural', 'languages', 'even', 'with', 'a', 'far', 'from', 'complete', 'coverage', 'are', 'complex', 'objects', 'assessments', 'of', 'the', 'quality', 'of', 'parts', 'of', 'such', 'grammars', 'are', 'useful', 'for', 'the', 'validation', 'of', 'their', 'construction', 'we', 'evaluated', 'the', 'quality', 'of', 'a', 'grammar', 'of', 'french', 'determiners', 'that', 'takes', 'the', 'form', 'of', 'a', 'recursive', 'transition', 'network', 'the', 'result', 'of', 'the', 'application', 'of', 'this', 'local', 'grammar', 'gives', 'deeper', 'syntactic', 'information', 'than', 'chunking', 'or', 'information', 'available', 'in', 'treebanks', 'we', 'performed', 'the', 'evaluation', 'by', 'comparison', 'with', 'a', 'corpus', 'independently', 'annotated', 'with', 'information', 'on', 'determiners', 'we', 'obtained', '86', 'precision', 'and', '92', 'recall', 'on', 'text', 'not', 'tagged', 'for', 'parts', 'of', 'speech']] | [-0.06942313236604426, 0.011255205883964092, -0.03572100737387789, 0.09032978993434203, -0.13885424884638803, -0.0848397955152334, 0.11450073851601165, 0.4000159735955736, -0.22012200926923575, -0.34584161408950903, 0.05261217576209638, -0.3055677688589283, -0.06590981843799133, 0.20119532288791722, -0.10417134563584685, 0.03324982555875299, 0.15363797771643994, 0.13296189459095545, -0.04512576126110028, -0.252902490689474, 0.3149678369084665, 0.021684756529900956, 0.2965746702827221, 0.01848555532941485, 0.12287312551565907, -0.020561738635353998, -0.09363130663576372, 0.025381869124020358, -0.1071853950262605, 0.20473295840258965, 0.33378872200481446, 0.25908392414852394, 0.2510451454367927, -0.39493444204038264, -0.1433771356193271, 0.013334122196515547, 0.08954651703985006, 0.1089903223784823, 0.0021893129884904506, -0.36979322473281157, 0.09819183480473892, -0.170829466608006, 0.06186513381316235, -0.11454884636708919, 0.01881713782638019, 0.014633746982059059, -0.25484302295280586, 0.04088132978044907, 0.14337792397675322, 0.1683833947788705, -0.01861667962443522, -0.15890517600300705, -0.0147984412809213, 0.20052888924849457, -0.017185214724318654, 0.04457917514225176, 0.1250275214723147, -0.17964721100140071, -0.1320722316775252, 0.39102690157425757, -0.06465718835006198, -0.22135929096097529, 0.193376694312867, -0.0880860126641232, -0.16835444223811374, 0.11215076644850128, 0.16177641980203927, 0.09763414962057426, -0.1587870104019256, 0.028222312903666284, -0.046140731718646834, 0.22651212898028247, 0.1513747783816036, 0.041679786216905886, 0.16602527682769896, 0.24425146168590905, -0.0583770347407599, 0.1590201285868591, -0.038699478409755246, -0.013757531786812287, -0.2763584921519984, -0.1517486151004799, -0.1413936009813173, -0.01732301688282271, -0.1203722699005191, -0.19157907151270145, 0.4028546071095465, 0.16202652076368823, 0.1471912793965791, 0.1512610236840213, 0.2894708882040326, 0.018043660476584646, 0.10282422737309746, 0.04879433861431465, 0.1324605866753058, 0.019672930836403632, 0.12439512856779437, -0.10867895806144338, 0.11100634052783397, 0.06078355552117322] |
711.3458 | Hot DQ White Dwarf Stars: A New Challenge to Stellar Evolution | We report the discovery of a new class of hydrogen-deficient stars: white
dwarfs with an atmosphere primarily composed of carbon, with little or no trace
of hydrogen or helium. Our analysis shows that the atmospheric parameters found
for these stars do not fit satisfactorily in any of the currently known
theories of post-asymptotic giant branch (AGB) evolution, although these
objects might be the cooler counter-part of the unique and extensively studied
PG 1159 star H1504+65. These stars, together with H1504+65, might thus form a
new evolutionary post-AGB sequence.
| astro-ph | we report the discovery of a new class of hydrogendeficient stars white dwarfs with an atmosphere primarily composed of carbon with little or no trace of hydrogen or helium our analysis shows that the atmospheric parameters found for these stars do not fit satisfactorily in any of the currently known theories of postasymptotic giant branch agb evolution although these objects might be the cooler counterpart of the unique and extensively studied pg 1159 star h150465 these stars together with h150465 might thus form a new evolutionary postagb sequence | [['we', 'report', 'the', 'discovery', 'of', 'a', 'new', 'class', 'of', 'hydrogendeficient', 'stars', 'white', 'dwarfs', 'with', 'an', 'atmosphere', 'primarily', 'composed', 'of', 'carbon', 'with', 'little', 'or', 'no', 'trace', 'of', 'hydrogen', 'or', 'helium', 'our', 'analysis', 'shows', 'that', 'the', 'atmospheric', 'parameters', 'found', 'for', 'these', 'stars', 'do', 'not', 'fit', 'satisfactorily', 'in', 'any', 'of', 'the', 'currently', 'known', 'theories', 'of', 'postasymptotic', 'giant', 'branch', 'agb', 'evolution', 'although', 'these', 'objects', 'might', 'be', 'the', 'cooler', 'counterpart', 'of', 'the', 'unique', 'and', 'extensively', 'studied', 'pg', '1159', 'star', 'h150465', 'these', 'stars', 'together', 'with', 'h150465', 'might', 'thus', 'form', 'a', 'new', 'evolutionary', 'postagb', 'sequence']] | [-0.038906513694779606, 0.1506289607987128, -0.08162114716304297, 0.0858428274990398, -0.15474100910465827, -0.07598535644038665, 0.09545845099505228, 0.3971766675399108, -0.13430603494304127, -0.3580067864492197, 0.08009250158912354, -0.26396293978376145, -0.08131985542554916, 0.17173375478358305, -0.10538579831534828, -0.06237782522326928, 0.15824591153333048, -0.005675093509621961, -0.04111941073841246, -0.25945838357702916, 0.32280133914371784, 0.031108678733951158, 0.08694784020454707, -0.0942166883985258, -0.004119932413397526, -0.161035703452812, -0.0731965802736919, -0.06443396716547961, -0.1547328468590918, 0.026000864285213702, 0.23260394162604248, 0.13718115161067213, 0.17683504503855313, -0.3605648970485411, -0.276413701294752, 0.09869029365654569, 0.21905005381400275, 0.04412689058914442, -0.12780702381066725, -0.21979740483220667, 0.07466231278456027, -0.1845950623828685, -0.18462709176608108, 0.01499364278490909, 0.024126453319860793, 0.051924673205410894, -0.21164997383576437, 0.023997639651166868, 0.11894346155300313, 0.11405818438453769, -0.11168301067399708, -0.23996906098909676, -0.08832624045846221, 0.07588018906112252, 0.009517152555583214, 0.005000215727539564, 0.08064320021499456, -0.1353012939110737, -0.030919993719594044, 0.3878600638715646, -0.13598736568184738, 0.021509699308808194, 0.29068921006877313, -0.1719645549151623, -0.22853522185786543, 0.14316556407985362, 0.08042520929170265, 0.21604536166837948, -0.2502786659487439, -0.02537265118933812, -0.009229636094956235, 0.19503789296405474, 0.042169189154678446, 0.08306608835780273, 0.3818225829057734, 0.15320530595966952, -0.0469090930710081, 0.0622807949363381, -0.16711972870821643, -0.08033722804446536, -0.20883977085097946, -0.14841499866452068, -0.08571468503478999, 0.08891343209639176, -0.0701541393207828, -0.24822234336964108, 0.3022584179495673, 0.05333313465763984, 0.16226707163679582, -0.03756683388597925, 0.2513082338370044, 0.06361371512784073, 0.12517510342348198, 0.14003227414055305, 0.3210710825144567, 0.2148004877539775, 0.09056702765784311, -0.24888791023708604, 0.13714332776461644, -0.003572248673828488] |
711.3459 | A Test of the Copernican Principle | The blackbody nature of the cosmic microwave background (CMB) radiation
spectrum is used in a modern test of the Copernican Principle. The reionized
universe serves as a mirror to reflect CMB photons, thereby permitting a view
of ourselves and the local gravitational potential. By comparing with
measurements of the CMB spectrum, a limit is placed on the possibility that we
occupy a privileged location, residing at the center of a large void. The
Hubble diagram inferred from lines-of-sight originating at the center of the
void may be misinterpreted to indicate cosmic acceleration. Current limits on
spectral distortions are shown to exclude the largest voids which mimic cosmic
acceleration. More sensitive measurements of the CMB spectrum could prove the
existence of such a void or confirm the validity of the Copernican Principle.
| astro-ph | the blackbody nature of the cosmic microwave background cmb radiation spectrum is used in a modern test of the copernican principle the reionized universe serves as a mirror to reflect cmb photons thereby permitting a view of ourselves and the local gravitational potential by comparing with measurements of the cmb spectrum a limit is placed on the possibility that we occupy a privileged location residing at the center of a large void the hubble diagram inferred from linesofsight originating at the center of the void may be misinterpreted to indicate cosmic acceleration current limits on spectral distortions are shown to exclude the largest voids which mimic cosmic acceleration more sensitive measurements of the cmb spectrum could prove the existence of such a void or confirm the validity of the copernican principle | [['the', 'blackbody', 'nature', 'of', 'the', 'cosmic', 'microwave', 'background', 'cmb', 'radiation', 'spectrum', 'is', 'used', 'in', 'a', 'modern', 'test', 'of', 'the', 'copernican', 'principle', 'the', 'reionized', 'universe', 'serves', 'as', 'a', 'mirror', 'to', 'reflect', 'cmb', 'photons', 'thereby', 'permitting', 'a', 'view', 'of', 'ourselves', 'and', 'the', 'local', 'gravitational', 'potential', 'by', 'comparing', 'with', 'measurements', 'of', 'the', 'cmb', 'spectrum', 'a', 'limit', 'is', 'placed', 'on', 'the', 'possibility', 'that', 'we', 'occupy', 'a', 'privileged', 'location', 'residing', 'at', 'the', 'center', 'of', 'a', 'large', 'void', 'the', 'hubble', 'diagram', 'inferred', 'from', 'linesofsight', 'originating', 'at', 'the', 'center', 'of', 'the', 'void', 'may', 'be', 'misinterpreted', 'to', 'indicate', 'cosmic', 'acceleration', 'current', 'limits', 'on', 'spectral', 'distortions', 'are', 'shown', 'to', 'exclude', 'the', 'largest', 'voids', 'which', 'mimic', 'cosmic', 'acceleration', 'more', 'sensitive', 'measurements', 'of', 'the', 'cmb', 'spectrum', 'could', 'prove', 'the', 'existence', 'of', 'such', 'a', 'void', 'or', 'confirm', 'the', 'validity', 'of', 'the', 'copernican', 'principle']] | [-0.1012078940518243, 0.11697574877597833, -0.10469175060101935, 0.10610850653895497, -0.11609223648507631, -0.03735208176147505, 0.023783687388396445, 0.3059469132634406, -0.22388090892119034, -0.3300991049107477, 0.04836917107388065, -0.307634289042299, 0.015017133197242408, 0.2092871109560445, 0.009248008880451436, -0.048168415705231726, 0.004831220232170672, 0.0034164749867929755, -0.009968929310890896, -0.2160381850242643, 0.29885687635685426, 0.1989033441841318, 0.2970150072156018, 0.00873612492871364, 0.08310178674660616, -0.057045866635748906, -0.09419086164944158, 0.04265077864992937, -0.12045904787512583, 0.08569417864916036, 0.17817423271569816, 0.14956291861483784, 0.19070031689408853, -0.3993404861681789, -0.2518312019128921, 0.16326970564130824, 0.1424847422318732, 0.13998791913036257, -0.043665333036604366, -0.31919673348968947, 0.036898585135927635, -0.11843460000596429, -0.18480400091662774, 0.0310698879672968, -0.06231740772020328, -0.008036528166582567, -0.21777540046138733, 0.12447407347050617, 0.010531884682087498, 0.01200437031238418, -0.07519630117844861, -0.03692850237712264, -0.022230064796767274, 0.0733947608431531, 0.034198445796731945, 0.02918999155499894, 0.21169591583453745, -0.11379444612659344, -0.05301733778075152, 0.45255108695221313, -0.09801236610816977, -0.06803727555417506, 0.15169197618819147, -0.21868389989213863, -0.14523929010593253, 0.09853421112003502, 0.1363304489850287, 0.037422966133831566, -0.11550743495861072, 0.12132061829475885, 0.018275433473683583, 0.171550992245338, 0.11299680575429824, 0.027733569157857248, 0.40042379762948926, 0.105887632411798, 0.08456385431398872, 0.08993727016308921, -0.17342130016563959, 0.02675053834531257, -0.33720287714750713, -0.07081399849466695, -0.23288408698841134, 0.08489734359540557, -0.14735033920819904, -0.1755234622474287, 0.34055163806396754, 0.15185562659229174, 0.22026371338781509, 0.018077574034918185, 0.29785486459660965, 0.022535864660118258, 0.0729448096044646, 0.03772175886120846, 0.3675389745208712, 0.13590811520196383, 0.10851799947643326, -0.216887065346303, 0.057502896713363075, -0.011017051041979371] |
711.346 | A square lattice algebraic spin liquid with SO(5) symmetry | We propose a critical spin liquid ground state for S=1/2 antiferromagnets on
the square lattice. In a renormalization group analysis of the `staggered flux'
algebraic spin liquid, we examine perturbations, present in the
antiferromagnet, which break its global SU(4) symmetry to SO(5). At physical
parameter values, we find an instability towards a fixed point with SO(5)
symmetry. We discuss the possibility that this fixed point describes a
transition between the Neel and valence bond solid states, and the relationship
to the SO(5) non-linear sigma model of Tanaka and Hu.
| cond-mat.str-el | we propose a critical spin liquid ground state for s12 antiferromagnets on the square lattice in a renormalization group analysis of the staggered flux algebraic spin liquid we examine perturbations present in the antiferromagnet which break its global su4 symmetry to so5 at physical parameter values we find an instability towards a fixed point with so5 symmetry we discuss the possibility that this fixed point describes a transition between the neel and valence bond solid states and the relationship to the so5 nonlinear sigma model of tanaka and hu | [['we', 'propose', 'a', 'critical', 'spin', 'liquid', 'ground', 'state', 'for', 's12', 'antiferromagnets', 'on', 'the', 'square', 'lattice', 'in', 'a', 'renormalization', 'group', 'analysis', 'of', 'the', 'staggered', 'flux', 'algebraic', 'spin', 'liquid', 'we', 'examine', 'perturbations', 'present', 'in', 'the', 'antiferromagnet', 'which', 'break', 'its', 'global', 'su4', 'symmetry', 'to', 'so5', 'at', 'physical', 'parameter', 'values', 'we', 'find', 'an', 'instability', 'towards', 'a', 'fixed', 'point', 'with', 'so5', 'symmetry', 'we', 'discuss', 'the', 'possibility', 'that', 'this', 'fixed', 'point', 'describes', 'a', 'transition', 'between', 'the', 'neel', 'and', 'valence', 'bond', 'solid', 'states', 'and', 'the', 'relationship', 'to', 'the', 'so5', 'nonlinear', 'sigma', 'model', 'of', 'tanaka', 'and', 'hu']] | [-0.1981213271429532, 0.19958386915945842, -0.07352693928039392, 0.04264949743107505, -0.05644284176190248, -0.14450848702697106, 0.12413874923335283, 0.3781907194702143, -0.23023139255832922, -0.23807862700287546, 0.0975704676382704, -0.3048739146043578, -0.10748167671891076, 0.026603635104917242, 0.06547794750638766, 0.031613291030144056, -0.08978236073188567, 0.019734935876861048, -0.2033496682683864, -0.15925234432457788, 0.30010485162519, -0.027433014668398693, 0.29648302615034194, 0.055605728150439564, 0.10210948454195194, 0.028609860876805327, 0.12710036584856302, -0.08166778262892968, -0.19307351513450843, 0.04502829498797132, 0.21630628831377854, -0.06799412233587564, 0.13901784442093099, -0.4161039028693451, -0.19566461691904938, 0.06533820134210871, 0.11294652307092139, 0.18218340164212657, -0.024864057734284257, -0.3248153760600207, 0.011953409886761997, -0.20996594993041806, -0.2053008804495415, -0.1347706157274628, 0.004797850432020895, -0.08925282266684233, -0.2404226471429293, 0.09304944687428769, 0.06658837056111837, 0.14764598554021188, -0.07246602669991344, -0.13030427512111079, -0.1195413114115847, 0.04588828924415487, 0.09496300652612712, 0.07815853670616163, 0.10263151657411808, -0.14515676850902984, -0.14014008114888762, 0.3790199261660991, -0.043341520933036726, -0.15802067631248679, 0.14890822210987464, -0.1688286539146237, -0.17212520259317388, 0.09956880244478751, 0.13210663646250292, 0.04147939431857778, -0.059271715853488845, 0.10143164479699551, -0.07160819849794668, 0.17860788982322315, -0.05146362684834539, -0.01879122310182017, 0.26047719031404915, 0.199499737398092, 0.09691614385045479, 0.15920314639074246, -0.1163123587134629, -0.13923960100085045, -0.3078593560442161, -0.14518308833639107, -0.1834810266082876, 0.10066106347393328, -0.12124301296390012, -0.15316901515039166, 0.4231252625500888, 0.14942667458018058, 0.1644574421342839, 0.015760853830358704, 0.1559542951022348, 0.07807161454948482, -0.005445145975714654, 0.06664247109078582, 0.23364395833459128, 0.15432195318862796, 0.06390435284715187, -0.3133703318707059, -0.06042431730232882, 0.12479608924536223] |
711.3461 | The Balloon-borne Large Aperture Submillimeter Telescope (BLAST) 2005: A
4 sq. deg Galactic Plane Survey in Vulpecula (l=59) | We present the first results from a new 250, 350, and 500 micron Galactic
Plane survey taken with the Balloon-borne Large-Aperture Submillimeter
Telescope (BLAST) in 2005. This survey's primary goal is to identify and
characterize high-mass proto-stellar objects (HMPOs). The region studied here
covers 4 sq. deg near the open cluster NGC 6823 in the constellation Vulpecula
(l=59). We find 60 compact sources (<60'' diameter) detected simultaneously in
all three bands. Their spectral energy distributions (SEDs) are constrained
through BLAST, IRAS, Spitzer MIPS, and MSX photometry, with inferred dust
temperatures spanning ~12-40K assuming a dust emissivity index beta=1.5. The
luminosity-to-mass ratio, a distance-independent quantity, spans ~0.2-130
L_\odot M_\odot^{-1}. Distances are estimated from coincident 13CO (1->0)
velocities combined with a variety of other velocity and morphological data in
the literature. In total, 49 sources are associated with a molecular cloud
complex encompassing NGC 6823 (distance ~2.3kpc), 10 objects with the Perseus
Arm (~8.5kpc) and one object is probably in the outer Galaxy (~14kpc). Near NGC
6823, the inferred luminosities and masses of BLAST sources span ~40-10^4
L_\odot, and ~15-700 M_\odot, respectively. The mass spectrum is compatible
with molecular gas masses in other high-mass star forming regions. Several
luminous sources appear to be Ultra Compact HII regions powered by early B
stars. However, many of the objects are cool, massive gravitationally-bound
clumps with no obvious internal radiation from a protostar, and hence excellent
HMPO candidates.
| astro-ph | we present the first results from a new 250 350 and 500 micron galactic plane survey taken with the balloonborne largeaperture submillimeter telescope blast in 2005 this surveys primary goal is to identify and characterize highmass protostellar objects hmpos the region studied here covers 4 sq deg near the open cluster ngc 6823 in the constellation vulpecula l59 we find 60 compact sources 60 diameter detected simultaneously in all three bands their spectral energy distributions seds are constrained through blast iras spitzer mips and msx photometry with inferred dust temperatures spanning 1240k assuming a dust emissivity index beta15 the luminositytomass ratio a distanceindependent quantity spans 02130 l_odot m_odot1 distances are estimated from coincident 13co 10 velocities combined with a variety of other velocity and morphological data in the literature in total 49 sources are associated with a molecular cloud complex encompassing ngc 6823 distance 23kpc 10 objects with the perseus arm 85kpc and one object is probably in the outer galaxy 14kpc near ngc 6823 the inferred luminosities and masses of blast sources span 40104 l_odot and 15700 m_odot respectively the mass spectrum is compatible with molecular gas masses in other highmass star forming regions several luminous sources appear to be ultra compact hii regions powered by early b stars however many of the objects are cool massive gravitationallybound clumps with no obvious internal radiation from a protostar and hence excellent hmpo candidates | [['we', 'present', 'the', 'first', 'results', 'from', 'a', 'new', '250', '350', 'and', '500', 'micron', 'galactic', 'plane', 'survey', 'taken', 'with', 'the', 'balloonborne', 'largeaperture', 'submillimeter', 'telescope', 'blast', 'in', '2005', 'this', 'surveys', 'primary', 'goal', 'is', 'to', 'identify', 'and', 'characterize', 'highmass', 'protostellar', 'objects', 'hmpos', 'the', 'region', 'studied', 'here', 'covers', '4', 'sq', 'deg', 'near', 'the', 'open', 'cluster', 'ngc', '6823', 'in', 'the', 'constellation', 'vulpecula', 'l59', 'we', 'find', '60', 'compact', 'sources', '60', 'diameter', 'detected', 'simultaneously', 'in', 'all', 'three', 'bands', 'their', 'spectral', 'energy', 'distributions', 'seds', 'are', 'constrained', 'through', 'blast', 'iras', 'spitzer', 'mips', 'and', 'msx', 'photometry', 'with', 'inferred', 'dust', 'temperatures', 'spanning', '1240k', 'assuming', 'a', 'dust', 'emissivity', 'index', 'beta15', 'the', 'luminositytomass', 'ratio', 'a', 'distanceindependent', 'quantity', 'spans', '02130', 'l_odot', 'm_odot1', 'distances', 'are', 'estimated', 'from', 'coincident', '13co', '10', 'velocities', 'combined', 'with', 'a', 'variety', 'of', 'other', 'velocity', 'and', 'morphological', 'data', 'in', 'the', 'literature', 'in', 'total', '49', 'sources', 'are', 'associated', 'with', 'a', 'molecular', 'cloud', 'complex', 'encompassing', 'ngc', '6823', 'distance', '23kpc', '10', 'objects', 'with', 'the', 'perseus', 'arm', '85kpc', 'and', 'one', 'object', 'is', 'probably', 'in', 'the', 'outer', 'galaxy', '14kpc', 'near', 'ngc', '6823', 'the', 'inferred', 'luminosities', 'and', 'masses', 'of', 'blast', 'sources', 'span', '40104', 'l_odot', 'and', '15700', 'm_odot', 'respectively', 'the', 'mass', 'spectrum', 'is', 'compatible', 'with', 'molecular', 'gas', 'masses', 'in', 'other', 'highmass', 'star', 'forming', 'regions', 'several', 'luminous', 'sources', 'appear', 'to', 'be', 'ultra', 'compact', 'hii', 'regions', 'powered', 'by', 'early', 'b', 'stars', 'however', 'many', 'of', 'the', 'objects', 'are', 'cool', 'massive', 'gravitationallybound', 'clumps', 'with', 'no', 'obvious', 'internal', 'radiation', 'from', 'a', 'protostar', 'and', 'hence', 'excellent', 'hmpo', 'candidates']] | [-0.0676787498895504, 0.10081937640257503, -0.025490069026937304, 0.08635395952935696, -0.09821087032070626, -0.038278937821640914, 0.02756027198528223, 0.48767188481338647, -0.11002936580220905, -0.3850200643600977, 0.05147825845608326, -0.309953898571953, 0.04387937996146755, 0.1937079971816749, -0.023139073271633368, -0.06437036609074667, 0.06220339458921681, -0.15271702649643767, -0.009771198772258408, -0.2119526483391857, 0.2657804197105377, 0.0669896309177958, 0.1090189914234266, -0.06495351219934452, 0.08035077952789953, -0.18201857951581074, -0.10317020580775495, -0.06283386046998203, -0.18417609589447712, 0.037829968244161294, 0.276311718026662, 0.12310352199609675, 0.17106433547830777, -0.28884373938743246, -0.20669077631622634, 0.06442296621503571, 0.1877196821743501, -0.054433727764484026, -0.012093798102527533, -0.30413420060750745, 0.07103529439469719, -0.19096306018612308, -0.20893295318819582, 0.15187617835700107, 0.0781844874277063, 0.03610392691537171, -0.18861671197430596, 0.15790670217652603, -0.08362780689292224, 0.11543429706419019, -0.1702968674387945, -0.176363463506467, -0.08032323868550441, 0.05553192995468398, -0.059988699020291476, 0.15194220903681327, 0.23188019426914094, -0.12697267495298192, -0.005178111261667927, 0.39942740214907607, -0.04035026362651716, 0.05701150158015282, 0.2630139948638237, -0.21241934380858488, -0.21270150141183125, 0.2259888692860208, 0.10998204453321903, 0.13431207304668571, -0.19453952315708864, -0.005022083683971963, -0.014285675414999865, 0.22948416942659686, 0.08814672653148274, 0.1066600778722837, 0.36421725451541337, 0.07103629891726482, 0.028849610121687873, 0.14405992940351692, -0.32266788967383986, -0.05295582937238657, -0.21244192341868967, -0.06196614935103318, -0.12185995084405674, 0.09305862514504595, -0.1790670388332649, -0.04827501198337616, 0.24262757794295675, 0.0711698946127992, 0.2167366948697473, 0.049709850315348775, 0.3096913545554423, -0.007289483397186774, 0.1438097062320752, 0.20140451391166805, 0.29833489101501587, 0.16863705313400082, 0.0867642359200703, -0.18351980030901083, -0.019865282510822316, -0.048958906378475546] |
711.3462 | SANEPIC: A Map-Making Method for Timestream Data From Large Arrays | We describe a map-making method which we have developed for the Balloon-borne
Large Aperture Submillimeter Telescope (BLAST) experiment, but which should
have general application to data from other submillimeter arrays. Our method
uses a Maximum Likelihood based approach, with several approximations, which
allows images to be constructed using large amounts of data with fairly modest
computer memory and processing requirements. This new approach, Signal And
Noise Estimation Procedure Including Correlations (SANEPIC), builds upon
several previous methods, but focuses specifically on the regime where there is
a large number of detectors sampling the same map of the sky, and explicitly
allowing for the the possibility of strong correlations between the detector
timestreams. We provide real and simulated examples of how well this method
performs compared with more simplistic map-makers based on filtering. We
discuss two separate implementations of SANEPIC: a brute-force approach, in
which the inverse pixel-pixel covariance matrix is computed; and an iterative
approach, which is much more efficient for large maps. SANEPIC has been
successfully used to produce maps using data from the 2005 BLAST flight.
| astro-ph | we describe a mapmaking method which we have developed for the balloonborne large aperture submillimeter telescope blast experiment but which should have general application to data from other submillimeter arrays our method uses a maximum likelihood based approach with several approximations which allows images to be constructed using large amounts of data with fairly modest computer memory and processing requirements this new approach signal and noise estimation procedure including correlations sanepic builds upon several previous methods but focuses specifically on the regime where there is a large number of detectors sampling the same map of the sky and explicitly allowing for the the possibility of strong correlations between the detector timestreams we provide real and simulated examples of how well this method performs compared with more simplistic mapmakers based on filtering we discuss two separate implementations of sanepic a bruteforce approach in which the inverse pixelpixel covariance matrix is computed and an iterative approach which is much more efficient for large maps sanepic has been successfully used to produce maps using data from the 2005 blast flight | [['we', 'describe', 'a', 'mapmaking', 'method', 'which', 'we', 'have', 'developed', 'for', 'the', 'balloonborne', 'large', 'aperture', 'submillimeter', 'telescope', 'blast', 'experiment', 'but', 'which', 'should', 'have', 'general', 'application', 'to', 'data', 'from', 'other', 'submillimeter', 'arrays', 'our', 'method', 'uses', 'a', 'maximum', 'likelihood', 'based', 'approach', 'with', 'several', 'approximations', 'which', 'allows', 'images', 'to', 'be', 'constructed', 'using', 'large', 'amounts', 'of', 'data', 'with', 'fairly', 'modest', 'computer', 'memory', 'and', 'processing', 'requirements', 'this', 'new', 'approach', 'signal', 'and', 'noise', 'estimation', 'procedure', 'including', 'correlations', 'sanepic', 'builds', 'upon', 'several', 'previous', 'methods', 'but', 'focuses', 'specifically', 'on', 'the', 'regime', 'where', 'there', 'is', 'a', 'large', 'number', 'of', 'detectors', 'sampling', 'the', 'same', 'map', 'of', 'the', 'sky', 'and', 'explicitly', 'allowing', 'for', 'the', 'the', 'possibility', 'of', 'strong', 'correlations', 'between', 'the', 'detector', 'timestreams', 'we', 'provide', 'real', 'and', 'simulated', 'examples', 'of', 'how', 'well', 'this', 'method', 'performs', 'compared', 'with', 'more', 'simplistic', 'mapmakers', 'based', 'on', 'filtering', 'we', 'discuss', 'two', 'separate', 'implementations', 'of', 'sanepic', 'a', 'bruteforce', 'approach', 'in', 'which', 'the', 'inverse', 'pixelpixel', 'covariance', 'matrix', 'is', 'computed', 'and', 'an', 'iterative', 'approach', 'which', 'is', 'much', 'more', 'efficient', 'for', 'large', 'maps', 'sanepic', 'has', 'been', 'successfully', 'used', 'to', 'produce', 'maps', 'using', 'data', 'from', 'the', '2005', 'blast', 'flight']] | [-0.031178642291901898, 0.03578398376777255, -0.1178315554371914, 0.06577601735243353, -0.08926841225159371, -0.14092364400562088, 0.010133317729595017, 0.417442947478786, -0.20591415268353233, -0.3669184935989521, 0.13288522723866206, -0.26235446052523503, -0.15821464749784497, 0.2633148116877797, -0.04105182720800746, 0.09560303256016929, 0.09105591023756661, -0.06005324173233956, -0.07221435850991284, -0.23708390095205398, 0.27657712383806116, 0.11503155383749702, 0.30577171660202035, -0.005519886493240878, 0.14916255706487128, -0.014448109697839929, -0.08918448879073064, 0.02081998829640406, -0.07304210982569573, 0.12217608920369549, 0.2511722157725086, 0.1852506381409548, 0.2538910572769615, -0.42322405887567727, -0.19386985398213036, 0.10584009910235181, 0.10484225157908779, 0.14557666530882635, -0.05441984035404225, -0.29892664336951946, 0.05548180944396783, -0.17882869106396443, -0.04728601273086112, -0.09475922653067458, -0.018847845651940733, 0.026273526657783125, -0.29406534591005684, 0.03832640989662522, 0.007297475211911619, 0.04942069201214544, -0.0014498257666884127, -0.1234938147481752, 0.05641643089928933, 0.11327596111117867, 0.007187740355046035, 0.028953678267981627, 0.10824567490746662, -0.07428251092169581, -0.08840865022627806, 0.3557218346260699, -0.05864142553517753, -0.18476854041639695, 0.1993632302961528, -0.12394686026030383, -0.1479226374146292, 0.16005408584329664, 0.1923043819685009, 0.12869386673157793, -0.16750946680957315, 0.0582997807558747, -0.018987982276048365, 0.197254833519343, 0.027037512899066012, -0.005687676365868751, 0.16224233196432686, 0.1894053906007633, 0.08219823979451663, 0.16087474023014317, -0.18814043302909803, -0.051771662763640876, -0.24326945639262765, -0.0891970856441448, -0.2120726890533131, 0.0006381730354354207, -0.08475034111953869, -0.1454086368087953, 0.37060470286214797, 0.22159132210105015, 0.1881640844420651, 0.08330311047210552, 0.35357058105600925, 0.0730825197208136, 0.11826622590559435, 0.06792221173359933, 0.21100827545127543, 0.0845022042529226, 0.10575997206977027, -0.15414350479874117, 0.027477870958378423, 0.02759363468720625] |
711.3463 | The Frontier of Reionization: Theory and Forthcoming Observations | The cosmic microwave background provides an image of the Universe 0.4 million
years after the big bang, when atomic hydrogen formed out of free electrons and
protons. One of the primary goals of observational cosmology is to obtain
follow-up images of the Universe during the epoch of reionization, hundreds of
millions of years later, when cosmic hydrogen was ionized once again by the UV
photons emitted from the first galaxies. To achieve this goal, new
observatories are being constructed, including low-frequency radio arrays
capable of mapping cosmic hydrogen through its redshifted 21cm emission, as
well as imagers of the first galaxies such as the James Webb Space Telescope
(JWST) and large aperture ground-based telescopes. The construction of these
observatories is being motivated by a rapidly growing body of theoretical work.
Numerical simulations of reionization are starting to achieve the dynamical
range required to resolve galactic sources across the scale of hundreds of
comoving Mpc, larger than the biggest ionized regions.
| astro-ph hep-ph | the cosmic microwave background provides an image of the universe 04 million years after the big bang when atomic hydrogen formed out of free electrons and protons one of the primary goals of observational cosmology is to obtain followup images of the universe during the epoch of reionization hundreds of millions of years later when cosmic hydrogen was ionized once again by the uv photons emitted from the first galaxies to achieve this goal new observatories are being constructed including lowfrequency radio arrays capable of mapping cosmic hydrogen through its redshifted 21cm emission as well as imagers of the first galaxies such as the james webb space telescope jwst and large aperture groundbased telescopes the construction of these observatories is being motivated by a rapidly growing body of theoretical work numerical simulations of reionization are starting to achieve the dynamical range required to resolve galactic sources across the scale of hundreds of comoving mpc larger than the biggest ionized regions | [['the', 'cosmic', 'microwave', 'background', 'provides', 'an', 'image', 'of', 'the', 'universe', '04', 'million', 'years', 'after', 'the', 'big', 'bang', 'when', 'atomic', 'hydrogen', 'formed', 'out', 'of', 'free', 'electrons', 'and', 'protons', 'one', 'of', 'the', 'primary', 'goals', 'of', 'observational', 'cosmology', 'is', 'to', 'obtain', 'followup', 'images', 'of', 'the', 'universe', 'during', 'the', 'epoch', 'of', 'reionization', 'hundreds', 'of', 'millions', 'of', 'years', 'later', 'when', 'cosmic', 'hydrogen', 'was', 'ionized', 'once', 'again', 'by', 'the', 'uv', 'photons', 'emitted', 'from', 'the', 'first', 'galaxies', 'to', 'achieve', 'this', 'goal', 'new', 'observatories', 'are', 'being', 'constructed', 'including', 'lowfrequency', 'radio', 'arrays', 'capable', 'of', 'mapping', 'cosmic', 'hydrogen', 'through', 'its', 'redshifted', '21cm', 'emission', 'as', 'well', 'as', 'imagers', 'of', 'the', 'first', 'galaxies', 'such', 'as', 'the', 'james', 'webb', 'space', 'telescope', 'jwst', 'and', 'large', 'aperture', 'groundbased', 'telescopes', 'the', 'construction', 'of', 'these', 'observatories', 'is', 'being', 'motivated', 'by', 'a', 'rapidly', 'growing', 'body', 'of', 'theoretical', 'work', 'numerical', 'simulations', 'of', 'reionization', 'are', 'starting', 'to', 'achieve', 'the', 'dynamical', 'range', 'required', 'to', 'resolve', 'galactic', 'sources', 'across', 'the', 'scale', 'of', 'hundreds', 'of', 'comoving', 'mpc', 'larger', 'than', 'the', 'biggest', 'ionized', 'regions']] | [-0.059410511268652044, 0.17008625433454655, 0.014855399072985165, 0.0648931530826303, -0.08180527224903926, -0.04328463334168191, -0.015717602818040178, 0.3924781249092121, -0.20015911014925222, -0.3641754290962126, 0.08236405967836617, -0.33753519000019877, -0.008645655127475038, 0.23562484774447512, 0.02618829415005166, 0.004215188314265106, 0.07374034880485851, -0.11925064954557456, -0.008233460967312567, -0.31571769054062315, 0.28951224203046877, 0.21481723011820578, 0.1665195886092988, -0.045071140554500747, 0.10727519691281487, -0.09276746406685561, -0.13858437660746858, -0.03615409859648935, -0.09903906689141877, 0.07573285271500936, 0.2781314795065555, 0.21917455429211258, 0.2709525335667422, -0.43967429497279226, -0.251464811495498, 0.110957591451006, 0.17367833507864816, 0.07481640430050902, -0.024780137051129712, -0.32873533948441036, 0.032868365038302726, -0.14607334837783129, -0.16653367534163407, 0.05372694563047844, 0.014825997170555638, 0.020024557958822697, -0.16558009197869977, 0.06005731224431656, -0.06156324556013715, 0.05159504330804339, -0.08303262511399226, -0.04470621004584245, -0.019857339248846983, 0.11996342788788752, 0.03817067101772409, 0.0793069812018075, 0.18703358431521339, -0.1481824274858809, -0.031164234702009706, 0.4308745516231284, -0.08265148640321059, 0.07065458819706691, 0.16313189855281962, -0.23513092866633087, -0.1561810722370865, 0.19224153491813922, 0.12727311641720007, 0.11791747607348953, -0.14647261753652857, 0.05725480960609275, 0.017209269490558655, 0.19820476043969393, 0.10592082465591375, 0.06675939017077326, 0.3458428085432388, 0.1655462577327853, 0.09373650636989624, 0.08236820634338074, -0.1880583380407188, 0.002762043978145812, -0.26106814622071395, -0.1215173555088768, -0.18930183553602548, 0.11354036656412063, -0.11446723943208781, -0.12183914438610373, 0.354546315225889, 0.14269939243531554, 0.17543616442126223, 0.032475756252642894, 0.35818733493797483, -0.011247962593188277, 0.08623093671048991, 0.019211257928691338, 0.32650514732231384, 0.1410571913642343, 0.13077368317754007, -0.15425360223489407, 0.002210271038347855, -0.0021119037322932855] |
711.3464 | On Uniserial Modules in the Auslander-Reiten Quiver | This article begins the study of irreducible maps involving
finite-dimensional uniserial modules over finite-dimensional associative
algebras. We work on the classification of irreducible maps between two
uniserials over triangular algebras, and give estimates for the number of
middle terms of an almost split sequence with a uniserial end term.
| math.RT math.RA | this article begins the study of irreducible maps involving finitedimensional uniserial modules over finitedimensional associative algebras we work on the classification of irreducible maps between two uniserials over triangular algebras and give estimates for the number of middle terms of an almost split sequence with a uniserial end term | [['this', 'article', 'begins', 'the', 'study', 'of', 'irreducible', 'maps', 'involving', 'finitedimensional', 'uniserial', 'modules', 'over', 'finitedimensional', 'associative', 'algebras', 'we', 'work', 'on', 'the', 'classification', 'of', 'irreducible', 'maps', 'between', 'two', 'uniserials', 'over', 'triangular', 'algebras', 'and', 'give', 'estimates', 'for', 'the', 'number', 'of', 'middle', 'terms', 'of', 'an', 'almost', 'split', 'sequence', 'with', 'a', 'uniserial', 'end', 'term']] | [-0.18437055193741494, 0.05181335546543172, -0.026764283097387914, -0.0032378936618139655, -0.039320229669101536, -0.1111482051492203, -0.054062325588650616, 0.37389198201708496, -0.3765323418483604, -0.1841638816598182, 0.11888534380705096, -0.23204543239747485, -0.14251668025584271, 0.2285438092755309, -0.1317789124829384, -0.10622338588533846, 0.136889382925195, 0.13246793942137933, -0.14881395277916454, -0.34766759182578727, 0.4656588735136514, -0.018245632672915235, 0.19298515550326556, -0.0022756539595623813, 0.19315368350362405, 0.0658703336569791, -0.07341782905859873, -0.055913057760335505, -0.16621852004512525, 0.17263580722889552, 0.35922151198610663, 0.012603574888392663, 0.2381631217431277, -0.35020962030588026, -0.05483099956957934, 0.2690822424095434, 0.21803951373052163, 0.014204201172105968, 0.024227717869507615, -0.22502774925669655, 0.04075115067341054, -0.26435885982694646, -0.041664268860282995, -0.048946503549814224, 0.04488883445931909, 0.00036245560719786835, -0.22793673262155303, 0.029261521975665044, 0.15238442512539527, 0.1978299092152156, -0.15336207259679213, -0.11634003031455602, -0.042616397860304765, 0.141371807801382, -0.08677952492143959, -0.009778946167595374, 0.055620029190322384, -0.10173037306230981, -0.1606306032917928, 0.28114138725989807, -0.039153078047093004, -0.21417610712038973, 0.17538822356921932, -0.12485048489300728, -0.1521397752997776, 0.11006686572606365, 0.10883921668088685, 0.09457170489865045, -0.06750220512428011, 0.15820341120585604, -0.12259053344799516, 0.01668760411121184, 0.07840662697951, 0.00989136592640231, 0.18176222577070197, 0.1253050787296767, 0.07963542349170893, 0.19041685280778134, 0.04387922566093039, -0.028535227582324296, -0.36156768817454576, -0.17880243418039754, -0.0808519795925046, 0.1104704129199187, -0.11612126580409192, -0.19495062336015204, 0.5060999663546681, 0.06523703079437837, 0.24882835596023747, 0.20641885789033645, 0.21662419549344727, 0.03816966320543239, 0.07528065996787821, 0.0039465681281095994, 0.07270997859692822, 0.28302085341420025, -0.029548923557740636, -0.09301114879660115, -0.05762870126636699, 0.227398184981818] |
711.3465 | The Balloon-borne Large Aperture Submillimeter Telescope: BLAST | The Balloon-borne Large Aperture Submillimeter Telescope (BLAST) is a
sub-orbital surveying experiment designed to study the evolutionary history and
processes of star formation in local galaxies (including the Milky Way) and
galaxies at cosmological distances. The BLAST continuum camera, which consists
of 270 detectors distributed between 3 arrays, observes simultaneously in
broad-band (30%) spectral-windows at 250, 350, and 500 microns. The optical
design is based on a 2m diameter telescope, providing a diffraction-limited
resolution of 30" at 250 microns. The gondola pointing system enables raster
mapping of arbitrary geometry, with a repeatable positional accuracy of ~30";
post-flight pointing reconstruction to ~5" rms is achieved. The on-board
telescope control software permits autonomous execution of a pre-selected set
of maps, with the option of manual override. In this paper we describe the
primary characteristics and measured in-flight performance of BLAST. BLAST
performed a test-flight in 2003 and has since made two scientifically
productive long-duration balloon flights: a 100-hour flight from ESRANGE
(Kiruna), Sweden to Victoria Island, northern Canada in June 2005; and a
250-hour, circumpolar-flight from McMurdo Station, Antarctica, in December
2006.
| astro-ph | the balloonborne large aperture submillimeter telescope blast is a suborbital surveying experiment designed to study the evolutionary history and processes of star formation in local galaxies including the milky way and galaxies at cosmological distances the blast continuum camera which consists of 270 detectors distributed between 3 arrays observes simultaneously in broadband 30 spectralwindows at 250 350 and 500 microns the optical design is based on a 2m diameter telescope providing a diffractionlimited resolution of 30 at 250 microns the gondola pointing system enables raster mapping of arbitrary geometry with a repeatable positional accuracy of 30 postflight pointing reconstruction to 5 rms is achieved the onboard telescope control software permits autonomous execution of a preselected set of maps with the option of manual override in this paper we describe the primary characteristics and measured inflight performance of blast blast performed a testflight in 2003 and has since made two scientifically productive longduration balloon flights a 100hour flight from esrange kiruna sweden to victoria island northern canada in june 2005 and a 250hour circumpolarflight from mcmurdo station antarctica in december 2006 | [['the', 'balloonborne', 'large', 'aperture', 'submillimeter', 'telescope', 'blast', 'is', 'a', 'suborbital', 'surveying', 'experiment', 'designed', 'to', 'study', 'the', 'evolutionary', 'history', 'and', 'processes', 'of', 'star', 'formation', 'in', 'local', 'galaxies', 'including', 'the', 'milky', 'way', 'and', 'galaxies', 'at', 'cosmological', 'distances', 'the', 'blast', 'continuum', 'camera', 'which', 'consists', 'of', '270', 'detectors', 'distributed', 'between', '3', 'arrays', 'observes', 'simultaneously', 'in', 'broadband', '30', 'spectralwindows', 'at', '250', '350', 'and', '500', 'microns', 'the', 'optical', 'design', 'is', 'based', 'on', 'a', '2m', 'diameter', 'telescope', 'providing', 'a', 'diffractionlimited', 'resolution', 'of', '30', 'at', '250', 'microns', 'the', 'gondola', 'pointing', 'system', 'enables', 'raster', 'mapping', 'of', 'arbitrary', 'geometry', 'with', 'a', 'repeatable', 'positional', 'accuracy', 'of', '30', 'postflight', 'pointing', 'reconstruction', 'to', '5', 'rms', 'is', 'achieved', 'the', 'onboard', 'telescope', 'control', 'software', 'permits', 'autonomous', 'execution', 'of', 'a', 'preselected', 'set', 'of', 'maps', 'with', 'the', 'option', 'of', 'manual', 'override', 'in', 'this', 'paper', 'we', 'describe', 'the', 'primary', 'characteristics', 'and', 'measured', 'inflight', 'performance', 'of', 'blast', 'blast', 'performed', 'a', 'testflight', 'in', '2003', 'and', 'has', 'since', 'made', 'two', 'scientifically', 'productive', 'longduration', 'balloon', 'flights', 'a', '100hour', 'flight', 'from', 'esrange', 'kiruna', 'sweden', 'to', 'victoria', 'island', 'northern', 'canada', 'in', 'june', '2005', 'and', 'a', '250hour', 'circumpolarflight', 'from', 'mcmurdo', 'station', 'antarctica', 'in', 'december', '2006']] | [-0.09930519015192245, 0.11205218476772477, -0.08686131777093661, 0.012023261441341178, -0.10248105298656314, -0.10195472731852946, 0.02700664948166708, 0.428624072247079, -0.15195250612305244, -0.4245641937860372, 0.1103466329540507, -0.30003838673159905, -0.04672218682092286, 0.2344954675586037, -0.061944783194286916, 0.023258634515844857, 0.1250672901012215, -0.13171469683319711, 0.0031406514515930958, -0.21745889425867723, 0.16453999515016965, 0.1958800244822421, 0.2434383164879612, -0.0561322005153422, 0.20627396114816127, -0.04304824339818548, -0.10488339496660873, -0.05069565462393009, -0.11111945899954828, 0.0335102896311913, 0.29756312480789016, 0.12861187868508173, 0.24909996812030757, -0.39342272240372206, -0.1456453170341609, 0.034260441702578893, 0.05138280828991397, -0.03141083987363593, 0.00914442876315165, -0.3535401325604074, 0.016262740611802492, -0.17332339275691827, -0.17407189635427625, 0.11551058979239315, 0.03305445277576589, 0.02285065928828606, -0.2205706449868475, -0.017228897344797257, -0.07276915271028304, 0.15311775817165404, -0.07951259436429775, -0.08846458918560529, -0.008035618309804704, 0.1432045719570438, -0.06677536441367754, 0.11059843409351412, 0.15092043368283406, -0.06895577959056193, -0.05242551845731214, 0.3765616906827993, -0.03173606321665416, 0.019790585212335413, 0.18614085466040045, -0.22207878818417984, -0.11040791654853489, 0.20731330662965775, 0.1909099704591261, 0.05424224023723086, -0.19766253261530603, 0.043034653822939035, 0.024162601470545105, 0.23018967794566628, 0.13488311940984038, -0.012243649909082293, 0.265092123582938, 0.21895309763269985, 0.10252961089909976, 0.12788983388997044, -0.2978520305464785, -0.03709291966251013, -0.2568335344357448, -0.12211505949645388, -0.12221167218360113, 0.07003881809280509, -0.06983495939097008, -0.06951577002076771, 0.3903616316833491, 0.1154163595730841, 0.10400809287305245, 0.05716905795865883, 0.31874164641538466, -0.0742837624095707, 0.08128933853930159, 0.07827639196925289, 0.29158323647094553, 0.0616093003740058, 0.21517536588891578, -0.15198211201641243, 0.002762710495103833, -0.009987985706009733] |
711.3466 | Extended Lagrangian formulation of time-reversible Born-Oppenheimer
molecular dynamics for higher-order symplectic integration | A Lagrangian generalization of time-reversible Born-Oppenheimer molecular
dynamics [Niklasson et al., Phys. Rev. Lett. vol. 97, 123001 (2006)] is
proposed. The Lagrangian includes extended electronic degrees of freedom as
auxiliary dynamical variables in addition to the nuclear coordinates and
momenta. While the nuclear degrees of freedom propagate on the Born-Oppenheimer
potential energy surface, the extended auxiliary electronic degrees of freedom
evolve as a harmonic oscillator centered around the adiabatic propagation of
the self-consistent ground state. The formulation enables the application of
higher-order symplectic or geometric integration schemes that are stable and
energy conserving even under incomplete self-consistency convergence. It is
demonstrated how the extended Born-Oppenheimer molecular dynamics improves the
accuracy by over an order of magnitude compared to previous formulations at the
same level of computational cost.
| cond-mat.mtrl-sci | a lagrangian generalization of timereversible bornoppenheimer molecular dynamics niklasson et al phys rev lett vol 97 123001 2006 is proposed the lagrangian includes extended electronic degrees of freedom as auxiliary dynamical variables in addition to the nuclear coordinates and momenta while the nuclear degrees of freedom propagate on the bornoppenheimer potential energy surface the extended auxiliary electronic degrees of freedom evolve as a harmonic oscillator centered around the adiabatic propagation of the selfconsistent ground state the formulation enables the application of higherorder symplectic or geometric integration schemes that are stable and energy conserving even under incomplete selfconsistency convergence it is demonstrated how the extended bornoppenheimer molecular dynamics improves the accuracy by over an order of magnitude compared to previous formulations at the same level of computational cost | [['a', 'lagrangian', 'generalization', 'of', 'timereversible', 'bornoppenheimer', 'molecular', 'dynamics', 'niklasson', 'et', 'al', 'phys', 'rev', 'lett', 'vol', '97', '123001', '2006', 'is', 'proposed', 'the', 'lagrangian', 'includes', 'extended', 'electronic', 'degrees', 'of', 'freedom', 'as', 'auxiliary', 'dynamical', 'variables', 'in', 'addition', 'to', 'the', 'nuclear', 'coordinates', 'and', 'momenta', 'while', 'the', 'nuclear', 'degrees', 'of', 'freedom', 'propagate', 'on', 'the', 'bornoppenheimer', 'potential', 'energy', 'surface', 'the', 'extended', 'auxiliary', 'electronic', 'degrees', 'of', 'freedom', 'evolve', 'as', 'a', 'harmonic', 'oscillator', 'centered', 'around', 'the', 'adiabatic', 'propagation', 'of', 'the', 'selfconsistent', 'ground', 'state', 'the', 'formulation', 'enables', 'the', 'application', 'of', 'higherorder', 'symplectic', 'or', 'geometric', 'integration', 'schemes', 'that', 'are', 'stable', 'and', 'energy', 'conserving', 'even', 'under', 'incomplete', 'selfconsistency', 'convergence', 'it', 'is', 'demonstrated', 'how', 'the', 'extended', 'bornoppenheimer', 'molecular', 'dynamics', 'improves', 'the', 'accuracy', 'by', 'over', 'an', 'order', 'of', 'magnitude', 'compared', 'to', 'previous', 'formulations', 'at', 'the', 'same', 'level', 'of', 'computational', 'cost']] | [-0.14337210005559908, 0.09367721336886863, -0.0761930484390693, -0.002667081247149842, -0.04088569109834085, -0.06261166352430343, 0.05550692795306503, 0.3127197592819887, -0.20964053927051768, -0.33321082432145677, -0.0247982580344904, -0.23404683753129418, -0.10790297914274388, 0.10632050687293192, -0.05563722294938611, 0.045651281993161506, 0.04821945592123047, -0.01336383514150273, -0.10402757169240645, -0.267375141473883, 0.19559036507399563, 0.11585471793407882, 0.23163793376082276, 0.03817257515244611, 0.14129871464752425, 0.05965739954629634, 0.03902263644217389, -0.025148820337348096, -0.11599596321985435, 0.09802080720927067, 0.2059691870625417, 0.029521887276805645, 0.2612233076585589, -0.4441516475136003, -0.26810432681410507, 0.03850475158065733, 0.10825519415909263, 0.15463125309540238, 0.06240700273206237, -0.3071738848404035, -0.030238210546278108, -0.1898804925910131, -0.22626755286858777, -0.17950890903859804, 0.010697506734822679, 0.03715484970621398, -0.23472132962600395, 0.16172867668719274, 0.05314976125877666, 0.09012913728908793, -0.02719284611933784, -0.13869228076160423, -0.08578958131710258, 0.008893719681824638, -0.028725153561241515, 0.08469521119850541, 0.167931625216202, -0.08244678521103511, -0.11566357708748752, 0.4139357413949929, -0.031537299348760074, -0.2341114863841318, 0.2258801237115358, -0.05493294215631877, -0.11889568373091577, 0.19671848004016526, 0.14777635351028734, 0.1357911160787729, -0.1590590583615181, 0.16859552657917348, 0.0248381306479619, 0.16723903652837896, 0.11503208871182846, 0.08412153340920102, 0.12044059055652029, 0.09541459678026928, 0.045843768417541904, 0.08133046967014083, -0.08458087429418926, -0.2475277589854975, -0.30276877506394084, -0.14699367929972326, -0.19057837952896367, 0.0730429879558368, -0.058412486195745766, -0.08981150362317956, 0.4381974303698915, 0.12336141711896594, 0.10961265239945253, -0.013043560551508791, 0.28109510145773453, 0.09503248978340191, 0.007635702591712081, 0.149185249614016, 0.27198157014735924, 0.1942904424783957, 0.057316215548437, -0.28041908675786403, -0.03435926981944972, 0.07583277590396836] |
711.3467 | Ensemble Averaged Conductance Fluctuations in Anderson Localized Systems | We demonstrate the presence of energy dependent fluctuations in the
localization length, which depend on the disorder distribution. These
fluctuations lead to Ensemble Averaged Conductance Fluctuations (EACF) and are
enhanced by large disorder. For the binary distribution the fluctuations are
strongly enhanced in comparison to the Gaussian and uniform distributions.
These results have important implications on ensemble averaged quantities, such
as the transmission through quantum wires, where fluctuations can subsist to
very high temperatures. For the non-fluctuating part of the localization length
in one dimension we obtained an improved analytical expression valid for all
disorder strengths by averaging the probability density.
| cond-mat.dis-nn cond-mat.mes-hall | we demonstrate the presence of energy dependent fluctuations in the localization length which depend on the disorder distribution these fluctuations lead to ensemble averaged conductance fluctuations eacf and are enhanced by large disorder for the binary distribution the fluctuations are strongly enhanced in comparison to the gaussian and uniform distributions these results have important implications on ensemble averaged quantities such as the transmission through quantum wires where fluctuations can subsist to very high temperatures for the nonfluctuating part of the localization length in one dimension we obtained an improved analytical expression valid for all disorder strengths by averaging the probability density | [['we', 'demonstrate', 'the', 'presence', 'of', 'energy', 'dependent', 'fluctuations', 'in', 'the', 'localization', 'length', 'which', 'depend', 'on', 'the', 'disorder', 'distribution', 'these', 'fluctuations', 'lead', 'to', 'ensemble', 'averaged', 'conductance', 'fluctuations', 'eacf', 'and', 'are', 'enhanced', 'by', 'large', 'disorder', 'for', 'the', 'binary', 'distribution', 'the', 'fluctuations', 'are', 'strongly', 'enhanced', 'in', 'comparison', 'to', 'the', 'gaussian', 'and', 'uniform', 'distributions', 'these', 'results', 'have', 'important', 'implications', 'on', 'ensemble', 'averaged', 'quantities', 'such', 'as', 'the', 'transmission', 'through', 'quantum', 'wires', 'where', 'fluctuations', 'can', 'subsist', 'to', 'very', 'high', 'temperatures', 'for', 'the', 'nonfluctuating', 'part', 'of', 'the', 'localization', 'length', 'in', 'one', 'dimension', 'we', 'obtained', 'an', 'improved', 'analytical', 'expression', 'valid', 'for', 'all', 'disorder', 'strengths', 'by', 'averaging', 'the', 'probability', 'density']] | [-0.1577533599641174, 0.2240130996670632, -0.06657300289720297, 0.10579001879319548, 0.07066933099646121, -0.10296312199905515, -0.0008461735188029706, 0.3668942570313811, -0.2307444828469306, -0.2776509395730682, 0.07166526439250447, -0.29196846967563034, -0.11195052993716673, 0.1792875718139112, 0.0061541662504896524, 0.059505435295868665, 0.02006837579421699, 0.026142029223847202, -0.058428663805825634, -0.23781012456864117, 0.309827146101743, 0.11692741126171313, 0.36029595718253404, 0.09143301440402865, 0.046059082294814285, 0.06274370320432354, 0.006079036849550903, 0.0734575775754638, -0.1288875554781407, 0.08508899566251785, 0.21732477598357947, -0.012629386472981423, 0.19597516529262066, -0.40767379220575095, -0.25937962962314487, 0.08009526479523629, 0.18520067124627532, 0.15086301681934855, -0.01468344625318423, -0.29059876122162676, 0.05923975240555592, -0.1365928696002811, -0.12980935025028884, -0.09424957143142819, 0.03974563218187541, 0.0892025104817003, -0.2922926748357713, 0.14922319321718533, 0.039890176616609097, 0.0622179321013391, -0.06173923946917057, -0.12957410223782062, 0.00942804668098688, 0.15423387572926003, 0.046528539257124066, -0.03127204441465437, 0.1962829229934141, -0.14375243194866927, -0.046685632104054096, 0.28831768115516754, -0.12228676501195877, -0.20225881996564568, 0.16029585553798825, -0.16288558675849343, -0.11125553815159947, 0.1754539321921766, 0.14768905455246567, 0.08079565312713384, -0.10029847509227693, 0.03319798754178919, 0.040372563841519875, 0.16102201412664727, 0.03292296415194869, 0.11160791460890324, 0.22238083507865666, 0.10779329342301935, 0.046173968174261976, 0.12876900950213893, -0.1343785607535392, -0.1456039321888238, -0.27956669103354215, -0.08840145606081933, -0.22740217542857863, 0.08106609875336289, -0.14503668838151498, -0.1883624516427517, 0.3737073381245136, 0.22871458943234757, 0.23064429658465088, 0.05362609192845411, 0.23794665129855275, 0.17131480188458226, 0.04192254044115543, 0.060474964431487026, 0.2250190676539205, 0.14423235008260235, 0.051044743130914866, -0.25922257646918295, 0.09732364702504129, 0.003694290241692215] |
711.3468 | The sphericity of the complex of non-degenerate subspaces | We prove that the complex of proper non-trivial non-degenerate subspaces of a
finite-dimensional vector space endowed with a non-degenerate sesquilinear form
is homotopy equivalent to a wedge of spheres. Additionally, we show that the
same is true for a slight generalization, the so-called generalized Phan
geometries of type A_n. These generalized Phan geometries occur as relative
links of certain filtrations. Their sphericity implies finiteness properties of
suitable arithmetic groups and allows for a revision of Phan's
group-theoretical local recognition of suitable finite groups of Lie type with
simply laced diagram.
| math.CO math.GR | we prove that the complex of proper nontrivial nondegenerate subspaces of a finitedimensional vector space endowed with a nondegenerate sesquilinear form is homotopy equivalent to a wedge of spheres additionally we show that the same is true for a slight generalization the socalled generalized phan geometries of type a_n these generalized phan geometries occur as relative links of certain filtrations their sphericity implies finiteness properties of suitable arithmetic groups and allows for a revision of phans grouptheoretical local recognition of suitable finite groups of lie type with simply laced diagram | [['we', 'prove', 'that', 'the', 'complex', 'of', 'proper', 'nontrivial', 'nondegenerate', 'subspaces', 'of', 'a', 'finitedimensional', 'vector', 'space', 'endowed', 'with', 'a', 'nondegenerate', 'sesquilinear', 'form', 'is', 'homotopy', 'equivalent', 'to', 'a', 'wedge', 'of', 'spheres', 'additionally', 'we', 'show', 'that', 'the', 'same', 'is', 'true', 'for', 'a', 'slight', 'generalization', 'the', 'socalled', 'generalized', 'phan', 'geometries', 'of', 'type', 'a_n', 'these', 'generalized', 'phan', 'geometries', 'occur', 'as', 'relative', 'links', 'of', 'certain', 'filtrations', 'their', 'sphericity', 'implies', 'finiteness', 'properties', 'of', 'suitable', 'arithmetic', 'groups', 'and', 'allows', 'for', 'a', 'revision', 'of', 'phans', 'grouptheoretical', 'local', 'recognition', 'of', 'suitable', 'finite', 'groups', 'of', 'lie', 'type', 'with', 'simply', 'laced', 'diagram']] | [-0.19328809026628732, 0.09906243555661705, -0.08049335839847724, 0.10641702019557771, -0.14199909227382806, -0.16287862854595814, 0.028950664814975526, 0.36615800137321153, -0.3011482500471175, -0.1614224226679653, 0.07152930752037921, -0.16736058618941266, -0.1531541001258625, 0.1943056791762097, -0.17235328928670948, -0.028382653251497282, 0.07456701595284458, 0.09514446178865102, -0.16579465913172398, -0.26169225085112785, 0.43463928263841406, -0.07342419263441116, 0.25969395541974843, 0.004208000433734722, 0.1327356597615613, 0.03970263124857512, -0.010763491214149528, 0.06427681480708998, -0.15135671793977962, 0.15228301799442207, 0.2555541556328535, 0.052963943254952836, 0.21571403650773896, -0.3340395086341434, -0.15069655551471645, 0.1982103582057688, 0.11947682317760255, 0.022883379242072503, -0.022895490031482446, -0.2786379958916869, 0.12529222008047833, -0.20009476374834775, -0.1962948733009398, -0.0737842929795281, 0.02828906933363113, 0.07200821364919345, -0.23293153665597655, 0.050683064608731204, 0.14438711947077537, 0.11223882857997927, -0.07863852787931036, -0.07707815002650023, -0.06128876374827491, 0.07951661873764047, -0.05557318272379538, -0.011173524086674054, 0.08968107405946486, -0.07825882794956367, -0.11998827763729625, 0.41379622800482646, -0.03685213118118958, -0.23327738140037077, 0.1674256128879885, -0.1473381558847096, -0.19496040428962766, 0.12637031763119416, 0.06271721655502915, 0.1362136720226974, -0.05194842411373328, 0.1634961496928655, -0.11689289529911345, 0.04457469195541408, 0.10134066643529675, 0.02104686958094438, 0.13254553559430254, 0.07153431781464153, 0.0947253211090962, 0.13152109728091294, 0.020041211446126302, -0.060716462466451855, -0.37247466349767316, -0.2100165844015363, -0.09849710108505355, 0.14118735214384895, -0.16537041447445516, -0.2363371066438655, 0.3391187366951878, 0.0027756999971138108, 0.18491126126609742, 0.11432955063258608, 0.15872452420492966, 0.06138026685997223, 0.08361584632916169, 0.010845256436409222, 0.13083794138057986, 0.23665608341495195, -0.04374018273212844, -0.13808217692421748, -0.020883415303089552, 0.18460732713962594] |
711.3469 | Spatially-resolved electronic and vibronic properties of single
diamondoid molecules | Diamondoids are a unique form of carbon nanostructure best described as
hydrogen-terminated diamond molecules. Their diamond-cage structures and
tetrahedral sp3 hybrid bonding create new possibilities for tuning electronic
band gaps, optical properties, thermal transport, and mechanical strength at
the nanoscale. The recently-discovered higher diamondoids (each containing more
than three diamond cells) have thus generated much excitement in regards to
their potential versatility as nanoscale devices. Despite this excitement,
however, very little is known about the properties of isolated diamondoids on
metal surfaces, a very relevant system for molecular electronics. Here we
report the first molecular scale study of individual tetramantane diamondoids
on Au(111) using scanning tunneling microscopy and spectroscopy. We find that
both the diamondoid electronic structure and electron-vibrational coupling
exhibit unique spatial distributions characterized by pronounced line nodes
across the molecular surfaces. Ab-initio pseudopotential density functional
calculations reveal that the observed dominant electronic and vibronic
properties of diamondoids are determined by surface hydrogen terminations, a
feature having important implications for designing diamondoid-based molecular
devices.
| cond-mat.mtrl-sci | diamondoids are a unique form of carbon nanostructure best described as hydrogenterminated diamond molecules their diamondcage structures and tetrahedral sp3 hybrid bonding create new possibilities for tuning electronic band gaps optical properties thermal transport and mechanical strength at the nanoscale the recentlydiscovered higher diamondoids each containing more than three diamond cells have thus generated much excitement in regards to their potential versatility as nanoscale devices despite this excitement however very little is known about the properties of isolated diamondoids on metal surfaces a very relevant system for molecular electronics here we report the first molecular scale study of individual tetramantane diamondoids on au111 using scanning tunneling microscopy and spectroscopy we find that both the diamondoid electronic structure and electronvibrational coupling exhibit unique spatial distributions characterized by pronounced line nodes across the molecular surfaces abinitio pseudopotential density functional calculations reveal that the observed dominant electronic and vibronic properties of diamondoids are determined by surface hydrogen terminations a feature having important implications for designing diamondoidbased molecular devices | [['diamondoids', 'are', 'a', 'unique', 'form', 'of', 'carbon', 'nanostructure', 'best', 'described', 'as', 'hydrogenterminated', 'diamond', 'molecules', 'their', 'diamondcage', 'structures', 'and', 'tetrahedral', 'sp3', 'hybrid', 'bonding', 'create', 'new', 'possibilities', 'for', 'tuning', 'electronic', 'band', 'gaps', 'optical', 'properties', 'thermal', 'transport', 'and', 'mechanical', 'strength', 'at', 'the', 'nanoscale', 'the', 'recentlydiscovered', 'higher', 'diamondoids', 'each', 'containing', 'more', 'than', 'three', 'diamond', 'cells', 'have', 'thus', 'generated', 'much', 'excitement', 'in', 'regards', 'to', 'their', 'potential', 'versatility', 'as', 'nanoscale', 'devices', 'despite', 'this', 'excitement', 'however', 'very', 'little', 'is', 'known', 'about', 'the', 'properties', 'of', 'isolated', 'diamondoids', 'on', 'metal', 'surfaces', 'a', 'very', 'relevant', 'system', 'for', 'molecular', 'electronics', 'here', 'we', 'report', 'the', 'first', 'molecular', 'scale', 'study', 'of', 'individual', 'tetramantane', 'diamondoids', 'on', 'au111', 'using', 'scanning', 'tunneling', 'microscopy', 'and', 'spectroscopy', 'we', 'find', 'that', 'both', 'the', 'diamondoid', 'electronic', 'structure', 'and', 'electronvibrational', 'coupling', 'exhibit', 'unique', 'spatial', 'distributions', 'characterized', 'by', 'pronounced', 'line', 'nodes', 'across', 'the', 'molecular', 'surfaces', 'abinitio', 'pseudopotential', 'density', 'functional', 'calculations', 'reveal', 'that', 'the', 'observed', 'dominant', 'electronic', 'and', 'vibronic', 'properties', 'of', 'diamondoids', 'are', 'determined', 'by', 'surface', 'hydrogen', 'terminations', 'a', 'feature', 'having', 'important', 'implications', 'for', 'designing', 'diamondoidbased', 'molecular', 'devices']] | [-0.13163892315761014, 0.12663499563989908, -0.02189600417378968, 0.032942495308277475, -0.020278758140867232, -0.17551864112618115, 0.07587050346558465, 0.4758302755193946, -0.2572468698289199, -0.3192392643943521, -0.006745921003770221, -0.2995201881147093, -0.1672727736359876, 0.18719752606746085, 0.07705683644320586, 0.019969392857114774, 0.024285885544183355, -0.0962732169047044, -0.06159854051082131, -0.15614768687611766, 0.26213136089270084, 0.07011414424697351, 0.30173221064650996, 0.11548808815222188, 0.037074877772721705, -0.04294696579871262, 0.07687333562658571, 0.013328021311741552, -0.16168923979601033, 0.1834893895048694, 0.2612839244251473, -0.0806228752933546, 0.23084156164456804, -0.5159339585720941, -0.24701325599978, -0.002014621271501025, 0.1287392837650798, 0.1477147463456164, -0.12243850055529037, -0.2370514543324617, 0.06178577289266949, -0.10527488593311038, -0.14999555303434192, -0.13296395596001803, 0.005848465631083574, 0.05045481950668388, -0.11616476795892662, 0.07002974104676625, -0.038162849145010114, 0.1297251384045169, -0.09150348993734726, -0.1824592477318624, -0.12317332360939479, 0.08874266948349728, -0.05431123344690458, -0.04047050662367478, 0.2503627395073389, -0.1346697760789, -0.10231117746666257, 0.42834103466184054, -0.012486975217963148, -0.08180387137241425, 0.23058807408368145, -0.15966650996972334, -0.1292795733962622, 0.1617304562723241, 0.09138326533138752, 0.10569410279600157, -0.16604701838963434, 0.049238839354569075, 0.026563314030401085, 0.18419195587292636, 0.11984976128973987, 0.17391385856647917, 0.2525099189607082, 0.2174715145295601, 0.02094538687630614, 0.11470285089640522, -0.11885069958566699, -0.04267244410908057, -0.14760602687566002, -0.19330242275293444, -0.22139914757945794, 0.07115327590935645, -0.05202007466985738, -0.2000666192336077, 0.3889055400210099, 0.05983934854444714, 0.1533752524000765, -0.07619450449455605, 0.23976454974646555, 0.016399903714449868, 0.10386808976289574, -0.012903942735175844, 0.2299884164987569, 0.17704636680916597, 0.060353230889081774, -0.2636634788621809, 0.10606086343515342, -0.043621000680026174] |
711.347 | Scattering-free plasmonic optics with anisotropic metamaterials | We develop an approach to utilize anisotropic metamaterials to solve one of
the fundamental problems of modern plasmonics -- parasitic scattering of
surface waves into free-space modes, opening the road to truly two-dimensional
plasmonic optics. We illustrate the developed formalism on examples of
plasmonic refractor and plasmonic crystal, and discuss limitations of the
developed technique and its possible applications for sensing and imaging
structures, high-performance mode couplers, optical cloaking structures, and
dynamically reconfigurable electro-plasmonic circuits.
| physics.optics | we develop an approach to utilize anisotropic metamaterials to solve one of the fundamental problems of modern plasmonics parasitic scattering of surface waves into freespace modes opening the road to truly twodimensional plasmonic optics we illustrate the developed formalism on examples of plasmonic refractor and plasmonic crystal and discuss limitations of the developed technique and its possible applications for sensing and imaging structures highperformance mode couplers optical cloaking structures and dynamically reconfigurable electroplasmonic circuits | [['we', 'develop', 'an', 'approach', 'to', 'utilize', 'anisotropic', 'metamaterials', 'to', 'solve', 'one', 'of', 'the', 'fundamental', 'problems', 'of', 'modern', 'plasmonics', 'parasitic', 'scattering', 'of', 'surface', 'waves', 'into', 'freespace', 'modes', 'opening', 'the', 'road', 'to', 'truly', 'twodimensional', 'plasmonic', 'optics', 'we', 'illustrate', 'the', 'developed', 'formalism', 'on', 'examples', 'of', 'plasmonic', 'refractor', 'and', 'plasmonic', 'crystal', 'and', 'discuss', 'limitations', 'of', 'the', 'developed', 'technique', 'and', 'its', 'possible', 'applications', 'for', 'sensing', 'and', 'imaging', 'structures', 'highperformance', 'mode', 'couplers', 'optical', 'cloaking', 'structures', 'and', 'dynamically', 'reconfigurable', 'electroplasmonic', 'circuits']] | [-0.151799244519119, 0.10259459234239081, -0.04585722351625358, -0.022954743374649384, -0.1505645697502649, -0.19113223498993337, -0.011737813573483734, 0.48594692124895855, -0.2975181637663547, -0.2772940574086284, 0.05703920906262906, -0.26206218470398285, -0.2753656098542556, 0.287417008171547, -0.020589033754108702, 0.15135059469899367, -0.0001272817129549915, -0.1399111856247158, 0.0014954689780109856, -0.1166107234710904, 0.25937426996047364, 0.03800657304156929, 0.34387238825390704, 0.08342459314974816, 0.11993992371183233, 0.03192909615599129, 0.01219954524087171, -0.04192865335012544, -0.1389494880344974, 0.2123883869116233, 0.3163310537905726, 0.04623959149068145, 0.25126544497779585, -0.5248458875368719, -0.2580387314577421, -0.010720524758304635, 0.16054201954082675, 0.15522186225918058, -0.10093533240373515, -0.29021794287717506, 0.03161499332891752, -0.08492990009078424, -0.2057147935823831, -0.08785443730677849, -0.04976286312998974, -0.03161706717378677, -0.1725193430248597, -0.07956712472265305, 0.025268046178995338, 0.030389966876947717, -0.05965416671306354, -0.06623988228926614, 0.07928445766845794, 0.04156352156033254, -0.08381930604730159, -0.10311204970699467, 0.16868002102901675, -0.15297287083805017, -0.1865533655732615, 0.4147261701881477, 0.03693524578407611, -0.14629764562434427, 0.1833770350259665, -0.08590024219800348, 0.0025498498971127485, 0.13481251916956566, 0.27638298783320553, 0.10437722504138947, -0.1255173262540404, 0.05648513509148783, 0.05014237457860823, 0.1464010694204536, 0.1300529527465162, 0.14515504964997303, 0.2400456442472155, 0.21636505465801448, 0.04599038308346006, 0.15356175234375444, -0.11152243278665494, 0.019710906168082347, -0.21880663955609683, -0.18364352877663442, -0.18581371528713658, -0.031719963500046564, -0.0690668710618685, -0.23151188843870815, 0.39465967415232367, 0.17387940948956634, 0.04027117464742432, -0.03043538898812473, 0.37099724439011045, 0.07525598149976298, 0.1428809823406133, 0.02680747537580255, 0.2971516219924574, 0.24676988722935114, 0.12700737918382637, -0.26551771939617314, -0.12418485318640668, -0.03176381266101787] |
711.3471 | Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact
analytical method and Monte Carlo simulations | We study the thermodynamics of Ising spins on the triangular kagome lattice
(TKL) using exact analytic methods as well as Monte Carlo simulations. We
present the free energy, internal energy, specific heat, entropy, sublattice
magnetizations, and susceptibility. We describe the rich phase diagram of the
model as a function of coupling constants, temperature, and applied magnetic
field. For frustrated interactions in the absence of applied field, the ground
state is a spin liquid phase with integer residual entropy per spin
$s_0/k_B={1/9} \ln 72\approx 0.4752...$. In weak applied field, the system maps
to the dimer model on a honeycomb lattice, with irrational residual entropy
0.0359 per spin and quasi-long-range order with power-law spin-spin
correlations that should be detectable by neutron scattering. The power-law
correlations become exponential at finite temperatures, but the correlation
length may still be long.
| cond-mat.stat-mech cond-mat.other | we study the thermodynamics of ising spins on the triangular kagome lattice tkl using exact analytic methods as well as monte carlo simulations we present the free energy internal energy specific heat entropy sublattice magnetizations and susceptibility we describe the rich phase diagram of the model as a function of coupling constants temperature and applied magnetic field for frustrated interactions in the absence of applied field the ground state is a spin liquid phase with integer residual entropy per spin s_0k_b19 ln 72approx 04752 in weak applied field the system maps to the dimer model on a honeycomb lattice with irrational residual entropy 00359 per spin and quasilongrange order with powerlaw spinspin correlations that should be detectable by neutron scattering the powerlaw correlations become exponential at finite temperatures but the correlation length may still be long | [['we', 'study', 'the', 'thermodynamics', 'of', 'ising', 'spins', 'on', 'the', 'triangular', 'kagome', 'lattice', 'tkl', 'using', 'exact', 'analytic', 'methods', 'as', 'well', 'as', 'monte', 'carlo', 'simulations', 'we', 'present', 'the', 'free', 'energy', 'internal', 'energy', 'specific', 'heat', 'entropy', 'sublattice', 'magnetizations', 'and', 'susceptibility', 'we', 'describe', 'the', 'rich', 'phase', 'diagram', 'of', 'the', 'model', 'as', 'a', 'function', 'of', 'coupling', 'constants', 'temperature', 'and', 'applied', 'magnetic', 'field', 'for', 'frustrated', 'interactions', 'in', 'the', 'absence', 'of', 'applied', 'field', 'the', 'ground', 'state', 'is', 'a', 'spin', 'liquid', 'phase', 'with', 'integer', 'residual', 'entropy', 'per', 'spin', 's_0k_b19', 'ln', '72approx', '04752', 'in', 'weak', 'applied', 'field', 'the', 'system', 'maps', 'to', 'the', 'dimer', 'model', 'on', 'a', 'honeycomb', 'lattice', 'with', 'irrational', 'residual', 'entropy', '00359', 'per', 'spin', 'and', 'quasilongrange', 'order', 'with', 'powerlaw', 'spinspin', 'correlations', 'that', 'should', 'be', 'detectable', 'by', 'neutron', 'scattering', 'the', 'powerlaw', 'correlations', 'become', 'exponential', 'at', 'finite', 'temperatures', 'but', 'the', 'correlation', 'length', 'may', 'still', 'be', 'long']] | [-0.16990597720547213, 0.24446852328114663, -0.041234951821300485, 0.11122831616883173, -0.02164192495260839, -0.15743536808683226, 0.03735354921434808, 0.39183300479569216, -0.2691846001949726, -0.2678005624700084, 0.05600048949638607, -0.33669661671261897, -0.05482306257313625, 0.14242901366025873, 0.1156793873877067, 0.03847815672457783, -0.024307342288507658, 0.06060206561277014, -0.1286589595450399, -0.2131859223961576, 0.2522356160544873, 0.050123131146061824, 0.27351914530365984, 0.09556088247336447, 0.08519606362449739, 0.0450778147814245, 0.13988359859848226, 0.059607554131864825, -0.17993732810111507, 0.016123958921966594, 0.21041680765726292, -0.07120090821814357, 0.1370164613789794, -0.44117825982076203, -0.22014111756685784, 0.10065825385302588, 0.134075931485065, 0.1623572766865519, -0.03372414385596516, -0.24009607269809666, -0.03720184472022635, -0.20546256333138002, -0.13710591409736397, -0.1503728355711439, -0.023232397303218022, 0.04243871437497684, -0.26599261338229885, 0.1745337233799298, 0.06515623161227047, 0.1295527804424196, -0.06753985394166331, -0.12080701848467332, -0.07483294077753795, 0.0851242635831251, 0.05219694834015558, 0.10827400889000714, 0.12100660359613936, -0.11650723961153717, -0.1330802664262151, 0.3219693961666163, -0.0882627845090941, -0.15380220879292625, 0.13902826811130525, -0.18891582013968605, -0.11857743381353264, 0.14657115827272224, 0.13166034176494135, 0.08315979070594591, -0.12963750035586682, 0.08901630125624113, 0.000701541229235855, 0.2333130133549937, -0.028435723279306494, 0.04302758462444851, 0.2785034961716244, 0.14527480101043527, 0.023187396187109476, 0.2223558310458126, -0.12270695645587915, -0.17031173106057174, -0.2541188613730342, -0.1382337815338167, -0.2695978286086977, 0.09232015416703442, -0.1379964202498024, -0.19438932129802802, 0.37962495321125694, 0.1397796617636755, 0.14785378430546683, 0.005307825176383962, 0.23945529482443817, 0.12208504962583186, 0.07844875772681201, 0.061705244759926274, 0.19741993852552364, 0.1885448700023434, 0.08270308377475223, -0.30806010541379114, 0.03429254366677593, 0.09663526803805408] |
711.3472 | Search for Lepton Flavor Violating Decays of the Neutral Kaon | The Fermilab KTeV experiment has searched for lepton flavor violating decays
of the KL meson in three decay modes. We observe no events in the signal region
for any of the modes studied, and we set the following upper limits for their
branching ratios at the 90% CL: BR(KL--> pi0 mu e) < 7.56 x 10^(-11); BR(KL-->
pi0 pi0 mu e) < 1.64 x 10^(-10); BR(pi0 --> mu e) < 3.59 x 10^{-10).
| hep-ex | the fermilab ktev experiment has searched for lepton flavor violating decays of the kl meson in three decay modes we observe no events in the signal region for any of the modes studied and we set the following upper limits for their branching ratios at the 90 cl brkl pi0 mu e 756 x 1011 brkl pi0 pi0 mu e 164 x 1010 brpi0 mu e 359 x 1010 | [['the', 'fermilab', 'ktev', 'experiment', 'has', 'searched', 'for', 'lepton', 'flavor', 'violating', 'decays', 'of', 'the', 'kl', 'meson', 'in', 'three', 'decay', 'modes', 'we', 'observe', 'no', 'events', 'in', 'the', 'signal', 'region', 'for', 'any', 'of', 'the', 'modes', 'studied', 'and', 'we', 'set', 'the', 'following', 'upper', 'limits', 'for', 'their', 'branching', 'ratios', 'at', 'the', '90', 'cl', 'brkl', 'pi0', 'mu', 'e', '756', 'x', '1011', 'brkl', 'pi0', 'pi0', 'mu', 'e', '164', 'x', '1010', 'brpi0', 'mu', 'e', '359', 'x', '1010']] | [-0.16085672982944063, 0.2651209791343826, -0.00019324265086828772, 0.11181745308437455, 0.029780053380709975, -0.10836913909262685, 0.20190646945422433, 0.2708353724525268, -0.08630194520549987, -0.2399153342720733, -0.06971702993666726, -0.42470031176040424, 0.11696740701349813, 0.1297400889834806, 0.12607618077586877, 0.10413238404791302, 0.06344872631077002, 0.009975753710674705, -0.03715149564633785, -0.14988946325298566, 0.13471731025753403, 0.000763901304314608, 0.2434374137725959, 0.06923041767927247, 0.034958699808469905, -0.04078931868799142, -0.04448547859245272, -0.1659740955610551, -0.2118567350362219, -0.023928076918445416, 0.22345396553847327, 0.14436077510715642, 0.0663584474362989, -0.2917170330548464, -0.0027331483842276817, 0.26708455972456885, 0.1394953802227974, -0.1104840113878695, 0.0007746601199258619, -0.37711702098152533, 0.1906108683419984, -0.1406263332647174, -0.05365952872323679, 0.020601871492924976, 0.1666143627614895, -0.1465912743179656, -0.40948737283417985, 0.07168348580459828, -0.02241320321475392, 0.07109833010011908, -0.005688307772098638, -0.30225119828733044, -0.02641736414742225, -0.0746031748269921, 0.11512802979116564, 0.18918171926721264, 0.223883843007706, -0.053318968739485675, -0.19688028908932387, 0.3760969501767141, -0.132315147987831, -0.16988073336655524, 0.15157382804622402, -0.3124153335550939, -0.19196523561267487, 0.25249717257388715, 0.21397821083595392, 0.03846830125453312, -0.20159522918011272, 0.21816466696153797, -0.034753469397998484, 0.16412254417342925, 0.14955695854055126, 0.07302882023843756, 0.18225140524541597, 0.16595665362677467, 0.02083724133545227, -0.041522404929595205, -0.1905567699403905, 0.09929743746934987, -0.39515867890484296, -0.13535271480735114, -0.03717285375903124, 0.1885622139853328, -0.06830160432376155, 0.042389861177722574, 0.2977589801676683, 0.022729806765330148, 0.3326845723968833, 0.009037578652209756, 0.22150426452506833, 0.1128536032761687, -0.014448494216037997, 0.062368376771293914, 0.31482945999770023, 0.1725912435091476, 0.1302090842666021, -0.25432313767386905, -0.006919038478535281, -0.0002954524191124226] |
711.3473 | Spectral inequalities for Schroedinger operators with surface potentials | We prove sharp Lieb-Thirring inequalities for Schroedinger operators with
potentials supported on a hyperplane and we show how these estimates are
related to Lieb-Thirring inequalities for relativistic Schroedinger operators.
| math-ph math.MP math.SP | we prove sharp liebthirring inequalities for schroedinger operators with potentials supported on a hyperplane and we show how these estimates are related to liebthirring inequalities for relativistic schroedinger operators | [['we', 'prove', 'sharp', 'liebthirring', 'inequalities', 'for', 'schroedinger', 'operators', 'with', 'potentials', 'supported', 'on', 'a', 'hyperplane', 'and', 'we', 'show', 'how', 'these', 'estimates', 'are', 'related', 'to', 'liebthirring', 'inequalities', 'for', 'relativistic', 'schroedinger', 'operators']] | [-0.08827775354689822, 0.06633860560069824, -0.044978661462664604, 0.1938381694851379, -0.07550375415654532, -0.26152828436922926, -0.026283787178068327, 0.39303289893372306, -0.2218535309336309, -0.1864881898950914, 0.1059936661722845, -0.4175698808554945, -0.153748310074724, 0.29209771527555484, -0.09576898540273823, 0.16460359767721644, 0.07551924579230876, 0.016663796364747244, -0.137814793254024, -0.22383264400835695, 0.45581088330725145, -0.10383832390452254, 0.1414170331674917, 0.18090837769981089, -0.022794170562049437, -0.017593547573377347, -0.006939847022294998, -0.044920122315143717, -0.21023311205850592, 0.2514053978796663, 0.22136943992869607, 0.05446093745433308, 0.25418653149671594, -0.48872730315759266, -0.19880582678035416, 0.14873208336789032, 0.12698300194059467, 0.08296318991302416, -0.11291940044210261, -0.4004027844759925, -0.02768896003093185, -0.025707479951710535, -0.27181432498940106, -0.19328754719603677, -0.005578252262082593, 0.1504266877369634, -0.3770299706736515, 0.1950408556209556, 0.07298548648069644, -0.02148353437700405, -0.19619158136754714, -0.0947698119883265, 0.04100872940737112, -0.02075586852954765, -0.03413879094195777, -0.07083534193626637, 0.07518692773863159, -0.02108387067785551, -0.21149636516026382, 0.2775866936506896, -0.07200664782832408, -0.31926390907630836, 0.12181056033948372, -0.23759230733688536, -0.20581723972833876, -0.08637432336550334, 0.18493242870117055, 0.1491962885805245, -0.11969050871015623, 0.13642565375956675, -0.07594962398810633, 0.051956166802295325, 0.10300842953588941, 0.11023623065958763, -0.0019122671721310451, -0.04493672586977482, 0.20799229111008602, 0.12160078140682187, 0.08043962290735338, -0.08220047522978537, -0.4298823044217866, -0.16127975586930227, -0.2086617491882423, 0.12527825850351104, -0.15319300527987473, -0.16883144713938236, 0.33976504142428265, 0.08991225709303699, 0.1729093319896994, 0.11836623220608153, 0.07652441681972866, 0.2481526160484244, 0.0570215378920066, 0.10436411272605946, 0.21032866527294292, 0.26394849861490316, 0.1176497766202123, -0.12179297324398468, -0.06983690802007914, 0.2814113534986973] |
711.3474 | Dynamo Action in Fully Convective Low-Mass Stars | Recent observations indicate that fully convective stars can effectively
build magnetic fields without the aid of a tachocline of shear, that those
fields can possess large-scale components, and that they may sense the effects
of rotation. Motivated by these puzzles, we present global three-dimensional
simulations of convection and dynamo action in the interiors of fully
convective M-dwarfs of 0.3 solar masses. We use the Anelastic Spherical
Harmonic (ASH) code, adopting a spherical computational domain that extends
from 0.08-0.96 times the overall stellar radius. We find that such fully
convective stars can generate magnetic fields of several kG strength, roughly
in equipartition with the convective flows. Differential rotation is
established in hydrodynamic progenitor calculations, but strongly quenched in
MHD simulations because of strong Maxwell stresses exerted by the magnetic
fields. Despite the absence of interior angular velocity contrasts, the
magnetic fields possess strong mean (axisymmetric) components, which we
attribute partly to the very strong influence of rotation upon the slowly
overturning flows.
| astro-ph | recent observations indicate that fully convective stars can effectively build magnetic fields without the aid of a tachocline of shear that those fields can possess largescale components and that they may sense the effects of rotation motivated by these puzzles we present global threedimensional simulations of convection and dynamo action in the interiors of fully convective mdwarfs of 03 solar masses we use the anelastic spherical harmonic ash code adopting a spherical computational domain that extends from 008096 times the overall stellar radius we find that such fully convective stars can generate magnetic fields of several kg strength roughly in equipartition with the convective flows differential rotation is established in hydrodynamic progenitor calculations but strongly quenched in mhd simulations because of strong maxwell stresses exerted by the magnetic fields despite the absence of interior angular velocity contrasts the magnetic fields possess strong mean axisymmetric components which we attribute partly to the very strong influence of rotation upon the slowly overturning flows | [['recent', 'observations', 'indicate', 'that', 'fully', 'convective', 'stars', 'can', 'effectively', 'build', 'magnetic', 'fields', 'without', 'the', 'aid', 'of', 'a', 'tachocline', 'of', 'shear', 'that', 'those', 'fields', 'can', 'possess', 'largescale', 'components', 'and', 'that', 'they', 'may', 'sense', 'the', 'effects', 'of', 'rotation', 'motivated', 'by', 'these', 'puzzles', 'we', 'present', 'global', 'threedimensional', 'simulations', 'of', 'convection', 'and', 'dynamo', 'action', 'in', 'the', 'interiors', 'of', 'fully', 'convective', 'mdwarfs', 'of', '03', 'solar', 'masses', 'we', 'use', 'the', 'anelastic', 'spherical', 'harmonic', 'ash', 'code', 'adopting', 'a', 'spherical', 'computational', 'domain', 'that', 'extends', 'from', '008096', 'times', 'the', 'overall', 'stellar', 'radius', 'we', 'find', 'that', 'such', 'fully', 'convective', 'stars', 'can', 'generate', 'magnetic', 'fields', 'of', 'several', 'kg', 'strength', 'roughly', 'in', 'equipartition', 'with', 'the', 'convective', 'flows', 'differential', 'rotation', 'is', 'established', 'in', 'hydrodynamic', 'progenitor', 'calculations', 'but', 'strongly', 'quenched', 'in', 'mhd', 'simulations', 'because', 'of', 'strong', 'maxwell', 'stresses', 'exerted', 'by', 'the', 'magnetic', 'fields', 'despite', 'the', 'absence', 'of', 'interior', 'angular', 'velocity', 'contrasts', 'the', 'magnetic', 'fields', 'possess', 'strong', 'mean', 'axisymmetric', 'components', 'which', 'we', 'attribute', 'partly', 'to', 'the', 'very', 'strong', 'influence', 'of', 'rotation', 'upon', 'the', 'slowly', 'overturning', 'flows']] | [-0.16159754922118735, 0.21690390268340706, -0.040886459336616096, 0.07356889207512722, -0.11388874719268642, 0.0026667981408536436, -0.019412926690711173, 0.36054629100835883, -0.23484158626524732, -0.34282809974974954, 0.058639377713552675, -0.19010222528704618, -0.09831122803298058, 0.19886609487439272, -0.045637586605880645, -0.0036457864167459774, 0.09316623499107664, -0.047614461756893434, -0.05063528800965287, -0.20447185488301328, 0.3250530533812707, 0.044973977559129706, 0.20791465006768703, -0.015965609267732363, 0.04957300136447884, -0.14160248000116554, -0.02291686609387398, 0.08697892184136435, -0.14547609617261514, 0.04957343883579597, 0.1714385135564953, 0.04799400001938921, 0.23459412560914644, -0.5163232440128922, -0.28775799049763007, 0.022254710904962848, 0.17872815327427816, 0.11734487104331492, -0.06757018936987151, -0.22374585189390928, 0.06627642640960403, -0.1465408907213714, -0.16711449816939422, -0.07620646802824922, 0.008057026405003853, 0.06155739321511646, -0.2875490187027026, 0.13954219510924304, 0.1184173415073019, 0.13745070550753552, -0.13604427639584174, -0.08098489515978144, -0.1099290939659113, 0.0928576677266392, 0.11259723959883558, 0.053427305626973974, 0.18316267049813179, -0.15989995785457722, -0.014964807888463837, 0.38337768023775426, -0.10981804570183158, -0.15041418360779063, 0.22907241507200524, -0.230265328582027, -0.07013969709223603, 0.16298900668916758, 0.18882147615586292, 0.1247494330866175, -0.11375347993744071, 0.02790040250911261, -0.0691295326098043, 0.17202702579670587, 0.041362298720923715, -0.045352861165883954, 0.3218416757590603, 0.11897715042869095, 0.03622309935371959, 0.05837748385674786, -0.1595515916360455, -0.08320917551463936, -0.23994849784648978, -0.0871736793920718, -0.11276759156025946, 0.07430280579064856, -0.10507582330010337, -0.18182523233699613, 0.3320208118086157, 0.16505748075214796, 0.12024116622269503, 0.02860107839878765, 0.29347853728104384, 0.06786631740251323, 0.12271421594778076, 0.17318020883540158, 0.353923747560475, 0.26842475128942167, 0.13911673448528744, -0.28170556718978335, 0.026418113732506753, 0.05686760580429109] |
711.3475 | Efficiently computing Groebner bases of ideals of points | We present an algorithm for computing Groebner bases of vanishing ideals of
points that is optimized for the case when the number of points in the
associated variety is less than the number of indeterminates. The algorithm
first identifies a set of essential variables, which reduces the time
complexity with respect to the number of indeterminates, and then uses PLU
decompositions to reduce the time complexity with respect to the number of
points. This gives a theoretical upper bound for its time complexity that is an
order of magnitude lower than the known one for the standard Buchberger-Moeller
algorithm if the number of indeterminates is much larger than the number of
points. Comparison of implementations of our algorithm and the standard
Buchberger-Moeller algorithm in Macaulay 2 confirm the theoretically predicted
speedup. This work is motivated by recent applications of Groebner bases to the
problem of network reconstruction in molecular biology.
| math.AC | we present an algorithm for computing groebner bases of vanishing ideals of points that is optimized for the case when the number of points in the associated variety is less than the number of indeterminates the algorithm first identifies a set of essential variables which reduces the time complexity with respect to the number of indeterminates and then uses plu decompositions to reduce the time complexity with respect to the number of points this gives a theoretical upper bound for its time complexity that is an order of magnitude lower than the known one for the standard buchbergermoeller algorithm if the number of indeterminates is much larger than the number of points comparison of implementations of our algorithm and the standard buchbergermoeller algorithm in macaulay 2 confirm the theoretically predicted speedup this work is motivated by recent applications of groebner bases to the problem of network reconstruction in molecular biology | [['we', 'present', 'an', 'algorithm', 'for', 'computing', 'groebner', 'bases', 'of', 'vanishing', 'ideals', 'of', 'points', 'that', 'is', 'optimized', 'for', 'the', 'case', 'when', 'the', 'number', 'of', 'points', 'in', 'the', 'associated', 'variety', 'is', 'less', 'than', 'the', 'number', 'of', 'indeterminates', 'the', 'algorithm', 'first', 'identifies', 'a', 'set', 'of', 'essential', 'variables', 'which', 'reduces', 'the', 'time', 'complexity', 'with', 'respect', 'to', 'the', 'number', 'of', 'indeterminates', 'and', 'then', 'uses', 'plu', 'decompositions', 'to', 'reduce', 'the', 'time', 'complexity', 'with', 'respect', 'to', 'the', 'number', 'of', 'points', 'this', 'gives', 'a', 'theoretical', 'upper', 'bound', 'for', 'its', 'time', 'complexity', 'that', 'is', 'an', 'order', 'of', 'magnitude', 'lower', 'than', 'the', 'known', 'one', 'for', 'the', 'standard', 'buchbergermoeller', 'algorithm', 'if', 'the', 'number', 'of', 'indeterminates', 'is', 'much', 'larger', 'than', 'the', 'number', 'of', 'points', 'comparison', 'of', 'implementations', 'of', 'our', 'algorithm', 'and', 'the', 'standard', 'buchbergermoeller', 'algorithm', 'in', 'macaulay', '2', 'confirm', 'the', 'theoretically', 'predicted', 'speedup', 'this', 'work', 'is', 'motivated', 'by', 'recent', 'applications', 'of', 'groebner', 'bases', 'to', 'the', 'problem', 'of', 'network', 'reconstruction', 'in', 'molecular', 'biology']] | [-0.13461959876120091, 0.04520277400986136, -0.03575001378233234, 0.017310979986408105, -0.040390265434980394, -0.08387903012645741, 0.05430005127098411, 0.3020465021642546, -0.2780160334923615, -0.33294014155011004, 0.08736621558122958, -0.26359173172463973, -0.13101195730734616, 0.2505897160060704, -0.0798098361492157, 0.06555216476592857, 0.033133797124028204, 0.0809710745451351, -0.07634383480375012, -0.34098768545935554, 0.29253048804278176, 0.06400771835198005, 0.22954723592381923, -0.02515828859526664, 0.06652880190871656, -0.023464851926934593, -0.03066038643165181, 0.019401139644129824, -0.10423547834361671, 0.16580220145406202, 0.23190660224761814, 0.16894886982937654, 0.28508193347603084, -0.4095969061180949, -0.10955073707504198, 0.18427568304740513, 0.15329347766935825, 0.10655975261315083, -0.006390461238722007, -0.1847541402016456, 0.12793893952000265, -0.12823751624673604, -0.13207167781268556, -0.06315101453258345, 0.05646532828841979, -0.00011271640037496885, -0.2863427808259924, 0.03309358937859846, 0.04160278550426786, 0.07903111003164667, 0.0004714860386836032, -0.16456623004438978, 0.01554278033785522, 0.06676517799128003, 0.031718958267010745, 0.07364465702014665, 0.05655579127992193, -0.12809391035077472, -0.16930855316730836, 0.37646159158398707, -0.0028647072263023195, -0.18843027939399085, 0.16644745173553627, -0.11175631272839383, -0.11501549185564121, 0.1765589583168427, 0.13869945286773144, 0.1329597520735115, -0.05993322091380833, 0.10883378359101092, -0.09038050634786486, 0.1781595921671639, 0.060976673506277924, 0.05202193021463851, 0.07836858267585436, 0.19179499080016588, 0.12413008180757364, 0.15352539726455386, -0.044067051231007404, -0.08021411891405782, -0.2738863853737712, -0.20343311525764876, -0.23063881818515558, 0.008789017473657927, -0.13651408776000606, -0.15592935531089702, 0.4236716647942861, 0.18180988248437643, 0.20374275247954454, 0.11514171701623127, 0.3254135301988572, 0.1086695038745529, 0.05187495285955568, 0.11290228409071763, 0.171432474758476, 0.14933780482814957, 0.029374456585695347, -0.20357194310830284, 0.08053823814494536, 0.12306092614928882] |
711.3476 | Color Transfer Enhancement for Heavy Quarkonium Production | We study the transfer of color between a heavy quark pair and an unpaired
heavy quark or antiquark moving at a nonrelativistic velocity with respect to
the pair. We find that the open heavy quark or antiquark can catalyze the
transformation of the pair from octet representation at short distances to
singlet at long distances. This process is infrared sensitive in general, and
we exhibit double poles in dimensional regularization at
next-to-next-to-leading order in the transition probability. Because of their
dependence on kinematic variables, these poles cannot be matched to the
non-perturbative matrix elements of effective field theories based on a single
heavy quark pair.
| hep-ph hep-ex nucl-th | we study the transfer of color between a heavy quark pair and an unpaired heavy quark or antiquark moving at a nonrelativistic velocity with respect to the pair we find that the open heavy quark or antiquark can catalyze the transformation of the pair from octet representation at short distances to singlet at long distances this process is infrared sensitive in general and we exhibit double poles in dimensional regularization at nexttonexttoleading order in the transition probability because of their dependence on kinematic variables these poles cannot be matched to the nonperturbative matrix elements of effective field theories based on a single heavy quark pair | [['we', 'study', 'the', 'transfer', 'of', 'color', 'between', 'a', 'heavy', 'quark', 'pair', 'and', 'an', 'unpaired', 'heavy', 'quark', 'or', 'antiquark', 'moving', 'at', 'a', 'nonrelativistic', 'velocity', 'with', 'respect', 'to', 'the', 'pair', 'we', 'find', 'that', 'the', 'open', 'heavy', 'quark', 'or', 'antiquark', 'can', 'catalyze', 'the', 'transformation', 'of', 'the', 'pair', 'from', 'octet', 'representation', 'at', 'short', 'distances', 'to', 'singlet', 'at', 'long', 'distances', 'this', 'process', 'is', 'infrared', 'sensitive', 'in', 'general', 'and', 'we', 'exhibit', 'double', 'poles', 'in', 'dimensional', 'regularization', 'at', 'nexttonexttoleading', 'order', 'in', 'the', 'transition', 'probability', 'because', 'of', 'their', 'dependence', 'on', 'kinematic', 'variables', 'these', 'poles', 'can', 'not', 'be', 'matched', 'to', 'the', 'nonperturbative', 'matrix', 'elements', 'of', 'effective', 'field', 'theories', 'based', 'on', 'a', 'single', 'heavy', 'quark', 'pair']] | [-0.06637219407042172, 0.2479521466545675, -0.11262025411750348, 0.11007210817295447, -0.05038605678721138, -0.1031586001775412, 0.07721979045259705, 0.41512880108828815, -0.23305763585826839, -0.2466753843786274, -0.04530076103305273, -0.31340081383526885, 0.0024182547788785874, 0.06101915265108406, 0.031867894001375394, 0.02431280144384869, 0.043343294157101864, 0.10890477469612686, -0.12525095454887222, -0.22287081266349218, 0.3709453159486348, -0.0417373040251715, 0.21873747300848645, 0.13624146539401613, 0.0706373792018671, 0.05041441983512585, -0.02436583617016814, -0.059523709048077744, -0.017020746663924995, 0.07569207505648078, 0.1874932279208464, -0.00874251809041455, 0.1677162161806405, -0.3907500567301264, -0.12987727161391444, 0.08976974834925232, 0.1654678810704148, 0.14328257757994645, -0.07114635587819272, -0.26032795774627404, 0.10499101167738016, -0.19971782800231902, -0.17921038189757932, -0.07263386213739034, 0.0029360623601911904, -0.011818877195078388, -0.34629793005187137, 0.08067207492405153, -0.04624242335118635, 0.024334223220511427, 0.03246456962781695, -0.1663607236883111, -0.06333389284115566, 0.08368623457225215, 0.08338645131976283, 0.11938540007752138, 0.12600157376080048, -0.1955942764847659, -0.10698907048318465, 0.3771724205218115, -0.09590388377271768, -0.1883347023296047, 0.22234711642948174, -0.1752996700464414, -0.10555998412101476, 0.1160669540459255, 0.23440112409792524, 0.15361558271677428, -0.1969580869190395, 0.09149972165666767, -0.016742287660544773, 0.14624619628368649, 0.11327469612489331, 0.09790677633762518, 0.31684589892942105, 0.13806954858262302, -0.030492562080188742, 0.07230256151579285, -0.0907778387037018, -0.1235989226854213, -0.377326078256065, -0.1228973663627293, -0.12577754121168322, 0.0408931460533838, -0.10481781859520849, -0.17290730306544816, 0.37967592693935587, 0.09872783302565057, 0.24981264654933563, -0.029672781031859934, 0.2899594956762948, 0.11592735075128247, 0.11288291504079441, 0.09652996663320458, 0.22650479883799013, 0.14928793951974445, 0.07982428071422959, -0.27108429320692523, -0.004127850257440137, 0.12604163811137936] |
711.3477 | Gaussian entanglement of symmetric two-mode Gaussian states | A Gaussian degree of entanglement for a symmetric two-mode Gaussian state can
be defined as its distance to the set of all separable two-mode Gaussian
states. The principal property that enables us to evaluate both Bures distance
and relative entropy between symmetric two-mode Gaussian states is the
diagonalization of their covariance matrices under the same beam-splitter
transformation. The multiplicativity property of the Uhlmann fidelity and the
additivity of the relative entropy allow one to finally deal with a single-mode
optimization problem in both cases. We find that only the Bures-distance
Gaussian entanglement is consistent with the exact entanglement of formation.
| quant-ph | a gaussian degree of entanglement for a symmetric twomode gaussian state can be defined as its distance to the set of all separable twomode gaussian states the principal property that enables us to evaluate both bures distance and relative entropy between symmetric twomode gaussian states is the diagonalization of their covariance matrices under the same beamsplitter transformation the multiplicativity property of the uhlmann fidelity and the additivity of the relative entropy allow one to finally deal with a singlemode optimization problem in both cases we find that only the buresdistance gaussian entanglement is consistent with the exact entanglement of formation | [['a', 'gaussian', 'degree', 'of', 'entanglement', 'for', 'a', 'symmetric', 'twomode', 'gaussian', 'state', 'can', 'be', 'defined', 'as', 'its', 'distance', 'to', 'the', 'set', 'of', 'all', 'separable', 'twomode', 'gaussian', 'states', 'the', 'principal', 'property', 'that', 'enables', 'us', 'to', 'evaluate', 'both', 'bures', 'distance', 'and', 'relative', 'entropy', 'between', 'symmetric', 'twomode', 'gaussian', 'states', 'is', 'the', 'diagonalization', 'of', 'their', 'covariance', 'matrices', 'under', 'the', 'same', 'beamsplitter', 'transformation', 'the', 'multiplicativity', 'property', 'of', 'the', 'uhlmann', 'fidelity', 'and', 'the', 'additivity', 'of', 'the', 'relative', 'entropy', 'allow', 'one', 'to', 'finally', 'deal', 'with', 'a', 'singlemode', 'optimization', 'problem', 'in', 'both', 'cases', 'we', 'find', 'that', 'only', 'the', 'buresdistance', 'gaussian', 'entanglement', 'is', 'consistent', 'with', 'the', 'exact', 'entanglement', 'of', 'formation']] | [-0.11317149848874772, 0.13589139616662504, -0.11820676991471438, 0.0665058597118001, -0.001925503218903987, -0.20566186816854912, 0.03837324219821679, 0.3784750106208252, -0.2823740499461013, -0.18278277409498137, 0.04865762956717964, -0.2616626513237604, -0.10676049681926014, 0.15190686089823943, -0.05789594935733035, 0.14600613011421185, 0.044556902966114004, 0.08153280712936939, -0.1527201692065732, -0.24607624630961153, 0.3509808812252801, 0.03271624985894169, 0.31135343819753164, 0.025258545713814334, 0.10501135752131843, 0.04187638883601234, 0.032111812260641595, -0.01236100714156393, -0.08148762209630793, 0.114445089237915, 0.22120483096387952, 0.17530671115776505, 0.2739347442984581, -0.339621083227673, -0.1934735969019433, 0.19970291251354297, 0.061831495734025736, 0.13370550416334712, 0.05644921660705498, -0.3251097494491724, 0.01372636475534451, -0.19802172815311356, -0.14010478390117337, -0.0992388753220439, -0.013280150499383006, -0.013098446069040684, -0.31368894092362337, 0.12592612381687482, 0.0679728819812575, -0.007753446477117261, -0.006428864860973048, -0.05291791746364624, -0.059086913268806204, 0.1091441888070543, -0.02162328005457918, -0.018376526592130012, 0.11450935852704476, -0.09300750463598613, -0.1294571372369925, 0.30724708082135577, -0.06489037513095566, -0.2514880368711822, 0.16129780897513182, -0.11722851299323292, -0.049234417464697, 0.07920308705334636, 0.11310494074249884, 0.08322379128499464, -0.11951912701543835, 0.0785235497016328, -0.07290249404431594, 0.17442330464748948, 0.10130423418424948, 0.14299706927491257, 0.14759411298048994, 0.0054646533434138155, 0.11254843367108454, 0.26822769181741724, -0.09467795987277189, -0.16044684368270365, -0.32710093404683804, -0.1891745355467058, -0.26949978049849205, 0.08527854599547807, -0.15846407756349307, -0.18210359502376783, 0.42717893613558827, 0.08815169036670616, 0.1648306336178623, 0.11752335508965482, 0.2619324099517079, 0.1053916120296403, 0.0003912067428852121, 0.08572271114422216, 0.24121515311046757, 0.26567588999604036, -0.004230441233952238, -0.2577079102006562, 0.06005424514384658, 0.015534610459298798] |
711.3478 | Resolving Gas Dynamics in the Circumnuclear Region of a Disk Galaxy in a
Cosmological Simulation | Using a hydrodynamic adaptive mesh refinement code, we simulate the growth
and evolution of a galaxy, which could potentially host a supermassive black
hole, within a cosmological volume. Reaching a dynamical range in excess of 10
million, the simulation follows the evolution of the gas structure from
super-galactic scales all the way down to the outer edge of the accretion disk.
Here, we focus on global instabilities in the self-gravitating, cold,
turbulence-supported, molecular gas disk at the center of the model galaxy,
which provide a natural mechanism for angular momentum transport down to sub-pc
scales. The gas density profile follows a power-law scaling as r^-8/3,
consistent with an analytic description of turbulence in a quasi-stationary
circumnuclear disk. We analyze the properties of the disk which contribute to
the instabilities, and investigate the significance of instability for the
galaxy's evolution and the growth of a supermassive black hole at the center.
| astro-ph | using a hydrodynamic adaptive mesh refinement code we simulate the growth and evolution of a galaxy which could potentially host a supermassive black hole within a cosmological volume reaching a dynamical range in excess of 10 million the simulation follows the evolution of the gas structure from supergalactic scales all the way down to the outer edge of the accretion disk here we focus on global instabilities in the selfgravitating cold turbulencesupported molecular gas disk at the center of the model galaxy which provide a natural mechanism for angular momentum transport down to subpc scales the gas density profile follows a powerlaw scaling as r83 consistent with an analytic description of turbulence in a quasistationary circumnuclear disk we analyze the properties of the disk which contribute to the instabilities and investigate the significance of instability for the galaxys evolution and the growth of a supermassive black hole at the center | [['using', 'a', 'hydrodynamic', 'adaptive', 'mesh', 'refinement', 'code', 'we', 'simulate', 'the', 'growth', 'and', 'evolution', 'of', 'a', 'galaxy', 'which', 'could', 'potentially', 'host', 'a', 'supermassive', 'black', 'hole', 'within', 'a', 'cosmological', 'volume', 'reaching', 'a', 'dynamical', 'range', 'in', 'excess', 'of', '10', 'million', 'the', 'simulation', 'follows', 'the', 'evolution', 'of', 'the', 'gas', 'structure', 'from', 'supergalactic', 'scales', 'all', 'the', 'way', 'down', 'to', 'the', 'outer', 'edge', 'of', 'the', 'accretion', 'disk', 'here', 'we', 'focus', 'on', 'global', 'instabilities', 'in', 'the', 'selfgravitating', 'cold', 'turbulencesupported', 'molecular', 'gas', 'disk', 'at', 'the', 'center', 'of', 'the', 'model', 'galaxy', 'which', 'provide', 'a', 'natural', 'mechanism', 'for', 'angular', 'momentum', 'transport', 'down', 'to', 'subpc', 'scales', 'the', 'gas', 'density', 'profile', 'follows', 'a', 'powerlaw', 'scaling', 'as', 'r83', 'consistent', 'with', 'an', 'analytic', 'description', 'of', 'turbulence', 'in', 'a', 'quasistationary', 'circumnuclear', 'disk', 'we', 'analyze', 'the', 'properties', 'of', 'the', 'disk', 'which', 'contribute', 'to', 'the', 'instabilities', 'and', 'investigate', 'the', 'significance', 'of', 'instability', 'for', 'the', 'galaxys', 'evolution', 'and', 'the', 'growth', 'of', 'a', 'supermassive', 'black', 'hole', 'at', 'the', 'center']] | [-0.11372704439713129, 0.07112023066440236, -0.12053405518039458, 0.09997678342954935, -0.05279816405350544, -0.022142041934735922, 0.004369890191466422, 0.3075000283849501, -0.26827365892775656, -0.3068964784599941, 0.08545822268933989, -0.25579781437959725, -0.009841862309258431, 0.1727017256969309, 0.03896355102581249, 0.024493353655310097, -0.014492675581021939, -0.06946328571015133, -0.0670668899445052, -0.18415621025141682, 0.34467201943609965, 0.14608384385654652, 0.16615230428696787, -0.009464849305741891, 0.09627835491571475, -0.08512660746487814, -0.026145016618790356, -0.003817962504596122, -0.21762303597092428, 0.05099231560991423, 0.1709267575100278, 0.08375174721791032, 0.2591099730721121, -0.4255359236692154, -0.25378913689731947, 0.00969790607514615, 0.2135773014491172, 0.11978030740676725, -0.106816588517914, -0.1909365785698331, 0.07176004677957452, -0.23639224612978413, -0.20497594405015981, 0.05863970987627761, 0.04006247971099927, 0.014036592836271518, -0.2322127023806978, 0.16382101170617985, 0.06784651223534711, 0.03274851839838398, -0.11029309673550243, 0.0015750075627521084, -0.09112175498031885, 0.09054976954389163, 0.028344166918966063, 0.06560587282198153, 0.27910605471618977, -0.14674733570820928, -0.05256158871123114, 0.4080468355300459, -0.060953390859287686, -0.08085157810332808, 0.23969817890257045, -0.26813184173551163, -0.12188126070651452, 0.1408346416837712, 0.22116675098879715, 0.10190668146478364, -0.11128219410917105, 0.042227138971636144, -0.05727074144021105, 0.1890274325678301, 0.050583231339948506, 0.043484302844287434, 0.3915040807773334, 0.18765646307980893, 0.04222764864538771, 0.12451645922241418, -0.1526547963892242, -0.10634566782784925, -0.2617787490724712, -0.12499147085661723, -0.13173173878080766, 0.09924697893910815, -0.1518390114114162, -0.15514037751819235, 0.37430122887363304, 0.10484406388855565, 0.2606592881524734, 0.047266280074836686, 0.28974923826250676, 0.04798447578198377, 0.08134325023589505, 0.1636795760478472, 0.2648558218812419, 0.14872385189251824, 0.0980907699244248, -0.30796057862902965, 0.02198244143132674, 0.03420462991217957] |
711.3479 | Gaped graphene bilayer: disorder and magnetic field effects | Double layer graphene is a gapless semiconductor which develops a finite gap
when the layers are placed at different electrostatic potentials. We study,
within the tight-biding approximation, the electronic properties of the gaped
graphene bilayer in the presence of disorder, perpendicular magnetic field, and
transverse electric field. We show that the gap is rather stable in the
presence of diagonal disorder. We compute the cyclotron effective mass in the
semi-classical approximation, valid at low magnetic fields. Landau level
formation is clearly seen in zigzag and armchair ribbons of the gaped bilayer
at intermediate magnetic fields.
| cond-mat.mes-hall cond-mat.mtrl-sci | double layer graphene is a gapless semiconductor which develops a finite gap when the layers are placed at different electrostatic potentials we study within the tightbiding approximation the electronic properties of the gaped graphene bilayer in the presence of disorder perpendicular magnetic field and transverse electric field we show that the gap is rather stable in the presence of diagonal disorder we compute the cyclotron effective mass in the semiclassical approximation valid at low magnetic fields landau level formation is clearly seen in zigzag and armchair ribbons of the gaped bilayer at intermediate magnetic fields | [['double', 'layer', 'graphene', 'is', 'a', 'gapless', 'semiconductor', 'which', 'develops', 'a', 'finite', 'gap', 'when', 'the', 'layers', 'are', 'placed', 'at', 'different', 'electrostatic', 'potentials', 'we', 'study', 'within', 'the', 'tightbiding', 'approximation', 'the', 'electronic', 'properties', 'of', 'the', 'gaped', 'graphene', 'bilayer', 'in', 'the', 'presence', 'of', 'disorder', 'perpendicular', 'magnetic', 'field', 'and', 'transverse', 'electric', 'field', 'we', 'show', 'that', 'the', 'gap', 'is', 'rather', 'stable', 'in', 'the', 'presence', 'of', 'diagonal', 'disorder', 'we', 'compute', 'the', 'cyclotron', 'effective', 'mass', 'in', 'the', 'semiclassical', 'approximation', 'valid', 'at', 'low', 'magnetic', 'fields', 'landau', 'level', 'formation', 'is', 'clearly', 'seen', 'in', 'zigzag', 'and', 'armchair', 'ribbons', 'of', 'the', 'gaped', 'bilayer', 'at', 'intermediate', 'magnetic', 'fields']] | [-0.2507958329037616, 0.22261518648163856, -0.006415748973622134, 0.07038480779523716, 0.020152695933479424, -0.1463721349737362, 0.03064084268714252, 0.4342000444272631, -0.2528308034237278, -0.2717283878083292, -0.048962828512058444, -0.25622712446278645, -0.11260775738444767, 0.10728311409291467, 0.07008979238912855, -0.03333348041694415, -0.0041162030379238886, -0.018555750795885135, -0.09062685425099182, -0.181883717377327, 0.29820033172635657, 0.003441425113889732, 0.33857358460755727, 0.12443980343247715, -0.006424401734502202, 0.026260039259336496, 0.16258998180886633, 0.05009810862033383, -0.12210782262731013, 0.034833342753546805, 0.21414730737083837, -0.2156557142146324, 0.23009785431388177, -0.4726638811309577, -0.1555708061291003, -0.04792001822620238, 0.1809300924063121, 0.17746505933740225, -0.05765189065745002, -0.24985482569195722, 0.10436268658622315, -0.10931470052976357, -0.16148870488579728, -0.03550644236567773, -0.026935700412937684, -0.02481345703188134, -0.2430153828800509, 0.1281134301389102, 0.05973375558510031, 0.10043048908394811, -0.12900164122448154, -0.12305625033025679, -0.09933922768717533, 0.057702447821104313, 0.06636867898908493, 0.05746799431845399, 0.2201493024531948, -0.16562656636202805, -0.07281300363768088, 0.34865626140840744, -0.08295813019534475, -0.12944275150565723, 0.15789395949656243, -0.22261234692935097, -0.07518933301203345, 0.1725710536255256, 0.0946834560679762, 0.08816431784316113, -0.09881376623938865, 0.15612868464852095, -0.02469646710118181, 0.11589714103427372, 0.08044224132195507, 0.0762469682989544, 0.29287393937181483, 0.16127596418373286, 0.058623210291721316, 0.16169816916318316, -0.1573804167810043, -0.052145647728129435, -0.2453118756683053, -0.1466469407375706, -0.19690232684982842, 0.0518760279850348, -0.06814847995349402, -0.2829017214918215, 0.4671596311915078, 0.1435805031735646, 0.1361650329867476, -0.05828844234224801, 0.26406792425305436, 0.16392687233655076, 0.08640096722856948, 0.06847551690022412, 0.2802538512519708, 0.21083147988507622, 0.11110723648024233, -0.25383689597151, -0.0013460473402550346, 0.015327339259123331] |
711.348 | Generalized Koszul properties for augmented algebras | Under certain conditions, a filtration on an augmented algebra A admits a
related filtration on the Yoneda algebra E(A) := Ext_A(K, K). We show that
there exists a bigraded algebra monomorphism from gr E(A) to E_Gr(gr A), where
E_Gr(gr A) is the graded Yoneda algebra of gr A. This monomorphism can be
applied in the case where A is connected graded to determine that A has the K_2
property recently introduced by Cassidy and Shelton.
| math.RA | under certain conditions a filtration on an augmented algebra a admits a related filtration on the yoneda algebra ea ext_ak k we show that there exists a bigraded algebra monomorphism from gr ea to e_grgr a where e_grgr a is the graded yoneda algebra of gr a this monomorphism can be applied in the case where a is connected graded to determine that a has the k_2 property recently introduced by cassidy and shelton | [['under', 'certain', 'conditions', 'a', 'filtration', 'on', 'an', 'augmented', 'algebra', 'a', 'admits', 'a', 'related', 'filtration', 'on', 'the', 'yoneda', 'algebra', 'ea', 'ext_ak', 'k', 'we', 'show', 'that', 'there', 'exists', 'a', 'bigraded', 'algebra', 'monomorphism', 'from', 'gr', 'ea', 'to', 'e_grgr', 'a', 'where', 'e_grgr', 'a', 'is', 'the', 'graded', 'yoneda', 'algebra', 'of', 'gr', 'a', 'this', 'monomorphism', 'can', 'be', 'applied', 'in', 'the', 'case', 'where', 'a', 'is', 'connected', 'graded', 'to', 'determine', 'that', 'a', 'has', 'the', 'k_2', 'property', 'recently', 'introduced', 'by', 'cassidy', 'and', 'shelton']] | [-0.16532254678157854, 0.043410645701314164, -0.15730320203157377, 0.052757125408519845, -0.13431021902697082, -0.14586058985048406, -0.06927163308669984, 0.3687313145525019, -0.4063358985307351, -0.14427703490454546, 0.0868650226456992, -0.20906938559992214, -0.17741215593693122, 0.15420568002466584, -0.17984253051362828, -0.12673046833402674, 0.06637028905130188, 0.13567731689504334, -0.05518594799353413, -0.21557583875009712, 0.3702072797041439, -0.008109226521157043, 0.21009120450053417, 0.009635621218607617, 0.15374831983845838, 0.011898573094480475, 0.03602971949837577, 0.07714363773071378, -0.19940008114942212, 0.0510281694554527, 0.2992174664879559, 0.09214559072812259, 0.24865478441171662, -0.325377328400041, -0.07247927348116334, 0.17887703410651482, 0.10725874566263191, -0.004935937261366299, -0.08066805009074299, -0.24841586361035808, 0.18306416580059998, -0.2441873202021693, -0.06902180302192942, -0.020647669407788297, 0.1270691033085467, -0.07347099544664085, -0.3250997940826059, -0.03936251331592949, 0.09796158531287187, 0.10630619377684845, -0.06276045304159043, -0.05163431934304011, -0.12061936358435893, -0.014488104711168669, -0.08275965053561918, 0.09910218278601976, 0.08673998323256071, -0.10550682398516842, -0.16888895743152676, 0.41235152612978093, -0.07289323904617152, -0.2255462111354294, 0.12606505582004157, -0.14377645171627823, -0.16554644251976844, 0.10343304407638564, -0.023643481859963546, 0.13959355550017996, -0.06182750248888009, 0.24940885940458443, -0.19352405338587475, 0.08374629890493734, 0.08196665076407748, -0.05792245826303539, 0.11370424389130843, 0.12648574847885422, 0.09181581718624163, 0.14509801336885494, 0.03984244119926867, 0.033594836743259936, -0.3003306023802766, -0.20666056576276748, -0.1024079060995243, 0.17378462351937318, -0.07554188948497668, -0.13688716001834877, 0.40660604189189387, 0.11139944158691231, 0.18295834688338594, 0.06220388403293532, 0.20579224280048897, 0.11144223275822325, 0.13782748160227923, 0.04594162105202255, 0.13835384861998995, 0.2499718981709751, 0.004498029324475308, -0.12150574472575436, -0.0016481646494021717, 0.17717575986908984] |
711.3481 | Geometrodynamical Distances to the Galaxy's Hydrogen Streams | We present a geometrodynamical method for determining distances to orbital
streams of HI gas in the Galaxy. The method makes use of our offset from the
Galactic centre and assumes that the gas comprising the stream nearly follows a
planar orbit about the Galactic centre. We apply this technique to the
Magellanic Stream and determine the distances to all points along it; a
consistency check shows that the angular momentum is approximately constant.
Applying this technique to the Large Magellanic Cloud itself gives an
independent distance which agrees within its accuracy of around 10%. Relaxing
the demand for exact conservation of energy and angular momentum at all points
along the stream allows for an increase in orbital period between the lagging
end and the front end led by the Magellanic Clouds. Similar methods are
applicable to other long streams of high-velocity clouds, provided they also
nearly follow planar orbits; these would allow otherwise unknown distances to
be determined.
| astro-ph | we present a geometrodynamical method for determining distances to orbital streams of hi gas in the galaxy the method makes use of our offset from the galactic centre and assumes that the gas comprising the stream nearly follows a planar orbit about the galactic centre we apply this technique to the magellanic stream and determine the distances to all points along it a consistency check shows that the angular momentum is approximately constant applying this technique to the large magellanic cloud itself gives an independent distance which agrees within its accuracy of around 10 relaxing the demand for exact conservation of energy and angular momentum at all points along the stream allows for an increase in orbital period between the lagging end and the front end led by the magellanic clouds similar methods are applicable to other long streams of highvelocity clouds provided they also nearly follow planar orbits these would allow otherwise unknown distances to be determined | [['we', 'present', 'a', 'geometrodynamical', 'method', 'for', 'determining', 'distances', 'to', 'orbital', 'streams', 'of', 'hi', 'gas', 'in', 'the', 'galaxy', 'the', 'method', 'makes', 'use', 'of', 'our', 'offset', 'from', 'the', 'galactic', 'centre', 'and', 'assumes', 'that', 'the', 'gas', 'comprising', 'the', 'stream', 'nearly', 'follows', 'a', 'planar', 'orbit', 'about', 'the', 'galactic', 'centre', 'we', 'apply', 'this', 'technique', 'to', 'the', 'magellanic', 'stream', 'and', 'determine', 'the', 'distances', 'to', 'all', 'points', 'along', 'it', 'a', 'consistency', 'check', 'shows', 'that', 'the', 'angular', 'momentum', 'is', 'approximately', 'constant', 'applying', 'this', 'technique', 'to', 'the', 'large', 'magellanic', 'cloud', 'itself', 'gives', 'an', 'independent', 'distance', 'which', 'agrees', 'within', 'its', 'accuracy', 'of', 'around', '10', 'relaxing', 'the', 'demand', 'for', 'exact', 'conservation', 'of', 'energy', 'and', 'angular', 'momentum', 'at', 'all', 'points', 'along', 'the', 'stream', 'allows', 'for', 'an', 'increase', 'in', 'orbital', 'period', 'between', 'the', 'lagging', 'end', 'and', 'the', 'front', 'end', 'led', 'by', 'the', 'magellanic', 'clouds', 'similar', 'methods', 'are', 'applicable', 'to', 'other', 'long', 'streams', 'of', 'highvelocity', 'clouds', 'provided', 'they', 'also', 'nearly', 'follow', 'planar', 'orbits', 'these', 'would', 'allow', 'otherwise', 'unknown', 'distances', 'to', 'be', 'determined']] | [-0.15120217203172925, 0.06075657208179731, -0.11112597554073303, 0.060046118326762196, -0.09318511571169277, -0.04731370749753676, 0.08655238813349293, 0.3902675682277996, -0.27890879748082614, -0.31602338923412504, 0.029643865234418948, -0.26758547388527415, -0.025762406107085415, 0.2239159664103785, -0.05431134883414577, 0.006579015097106347, 0.07552125162013149, -0.017353038870157746, -0.0554318953168437, -0.24497382821149746, 0.29034954357797965, 0.08369390405360845, 0.1920521914961901, -0.017107781721279025, 0.14072938663354498, -0.02483852749212963, -0.06039982442865649, -0.004027898385059796, -0.11965671072382837, 0.11325209676818568, 0.20748204923134675, 0.09670393293183938, 0.20490646428617212, -0.3851718855019706, -0.15515798424912877, 0.05073699888572851, 0.20317494002453795, 0.1182755376985945, -0.032518368615928, -0.23710401874342107, 0.08969560453721287, -0.18597060451696662, -0.25822829619297594, 0.012567552720208335, 0.06946502970325277, 0.05059079946124855, -0.21538726350751594, 0.10070076995124728, 0.02839678163416212, 0.04354427605160052, -0.06794562328811676, -0.09010913634460561, -0.02115138017578357, 0.13763049922152598, 0.057574258956622, 0.0879757342494647, 0.14252313261533367, -0.06957516205332041, -0.01953662064993353, 0.40618675275811855, -0.04361028153054369, -0.0925856571034101, 0.23436673625690652, -0.15769041228532507, -0.12386400683169972, 0.14325127227797727, 0.16277685306400438, 0.09402999811600585, -0.1630410772978175, 0.05354948825338455, -0.04607864881164241, 0.19128923671603015, 0.11680510602125167, 0.02382125121202759, 0.30466921074622416, 0.07840904387604163, 0.12150734367845226, 0.10930812558051659, -0.19770249993764336, -0.13114578880758695, -0.25062047337075766, -0.12062069501866339, -0.16419356007753766, 0.020198145067861564, -0.12315807069056443, -0.12320803199258126, 0.3248494914673929, 0.16997281234133751, 0.2782124869961622, 0.05118744465215957, 0.3287071197034343, 0.06521218132207028, 0.11008295536830011, 0.17613836094041507, 0.2701875874124279, 0.1315536510827067, 0.10002678779213206, -0.21166176241645707, 0.07097070619664332, 0.022179097396946405] |
711.3482 | Modeling force-induced bio-polymer unfolding | We study the conformations of polymer chains in a poor solvent, with and
without bending rigidity, by means of a simple statistical mechanics model.
This model can be exactly solved for chains of length up to N=55 using exact
enumeration techniques. We analyze in details the differences between the
constant force and constant distance ensembles for large but finite N. At low
temperatures, and in the constant force ensemble, the force-extension curve
shows multiple plateaus (intermediate states), in contrast with the abrupt
transition to an extended state prevailing in the $N \to \infty$ limit. In the
constant distance ensemble, the same curve provides a unified response to
pulling and compressing forces, and agrees qualitatively with recent
experimental results. We identify a cross-over length, proportional to $N$,
below which the critical force of unfolding decreases with temperature, while
above, it increases wiyh temperature. Finally, the force-extension curve for
stiff chains exhibits "saw-tooth" like behavior, as observed in protein
unfolding experiments.
| cond-mat.stat-mech cond-mat.soft | we study the conformations of polymer chains in a poor solvent with and without bending rigidity by means of a simple statistical mechanics model this model can be exactly solved for chains of length up to n55 using exact enumeration techniques we analyze in details the differences between the constant force and constant distance ensembles for large but finite n at low temperatures and in the constant force ensemble the forceextension curve shows multiple plateaus intermediate states in contrast with the abrupt transition to an extended state prevailing in the n to infty limit in the constant distance ensemble the same curve provides a unified response to pulling and compressing forces and agrees qualitatively with recent experimental results we identify a crossover length proportional to n below which the critical force of unfolding decreases with temperature while above it increases wiyh temperature finally the forceextension curve for stiff chains exhibits sawtooth like behavior as observed in protein unfolding experiments | [['we', 'study', 'the', 'conformations', 'of', 'polymer', 'chains', 'in', 'a', 'poor', 'solvent', 'with', 'and', 'without', 'bending', 'rigidity', 'by', 'means', 'of', 'a', 'simple', 'statistical', 'mechanics', 'model', 'this', 'model', 'can', 'be', 'exactly', 'solved', 'for', 'chains', 'of', 'length', 'up', 'to', 'n55', 'using', 'exact', 'enumeration', 'techniques', 'we', 'analyze', 'in', 'details', 'the', 'differences', 'between', 'the', 'constant', 'force', 'and', 'constant', 'distance', 'ensembles', 'for', 'large', 'but', 'finite', 'n', 'at', 'low', 'temperatures', 'and', 'in', 'the', 'constant', 'force', 'ensemble', 'the', 'forceextension', 'curve', 'shows', 'multiple', 'plateaus', 'intermediate', 'states', 'in', 'contrast', 'with', 'the', 'abrupt', 'transition', 'to', 'an', 'extended', 'state', 'prevailing', 'in', 'the', 'n', 'to', 'infty', 'limit', 'in', 'the', 'constant', 'distance', 'ensemble', 'the', 'same', 'curve', 'provides', 'a', 'unified', 'response', 'to', 'pulling', 'and', 'compressing', 'forces', 'and', 'agrees', 'qualitatively', 'with', 'recent', 'experimental', 'results', 'we', 'identify', 'a', 'crossover', 'length', 'proportional', 'to', 'n', 'below', 'which', 'the', 'critical', 'force', 'of', 'unfolding', 'decreases', 'with', 'temperature', 'while', 'above', 'it', 'increases', 'wiyh', 'temperature', 'finally', 'the', 'forceextension', 'curve', 'for', 'stiff', 'chains', 'exhibits', 'sawtooth', 'like', 'behavior', 'as', 'observed', 'in', 'protein', 'unfolding', 'experiments']] | [-0.13895032399343593, 0.19387947745067494, -0.0858772962466118, 0.04328854233129657, 0.003275836017749072, -0.1942996446001255, 0.06932692472598975, 0.3959837876425325, -0.289369406856455, -0.29991897069436463, 0.03124727197418791, -0.29578546624442065, -0.11859171028113394, 0.17389116503145027, -9.481309871837686e-05, 0.05068206017884084, 0.03329505690791986, 0.04784178543177174, -0.07918162010109075, -0.16875339260684397, 0.21846371273144702, 0.0861485992511145, 0.29600300815522296, 0.06946290437982394, 0.08146975184952887, 0.010805524694084932, 0.08511652370113172, 0.06539999550839155, -0.19716769093102363, 0.05397502258176844, 0.23757170439739064, -0.002996035981216008, 0.18895994743503206, -0.4165777188631458, -0.21998995821628295, 0.10135229411859159, 0.1495983894100955, 0.15423013750961806, 0.00910547319092328, -0.2066211357441601, 0.04178559577646606, -0.11228585528589997, -0.17974123024806096, -0.06503302831485679, 0.05036966922645799, 0.0526785859935467, -0.21581497191911256, 0.13253930329398217, 0.04369689010030625, 0.09625952999119329, -0.06538060816340856, -0.11107149757179609, 0.029528596078906254, 0.1259839744867073, 0.0879652629226234, 0.056227428219693745, 0.16773911694630603, -0.11842581522916266, -0.05724762534852364, 0.3391552120270325, -0.12487444630124064, -0.12688770257761772, 0.19512705272653058, -0.1236684560817018, -0.1154825033959299, 0.16715365274414373, 0.10268356828932662, 0.0775853080860681, -0.10431973012517902, 0.0627927165859765, 0.018369241101855907, 0.19889986072961666, 0.0933984153892232, -0.05511626031520906, 0.18830106109734387, 0.1624142862516076, 0.028406300973972377, 0.1941337953859504, -0.06675834099090175, -0.14733467591171967, -0.274389809744633, -0.12500497363831942, -0.17701858960097963, 0.05951780055154445, -0.13975333981685667, -0.18464651468977675, 0.3403582409189283, 0.10368582022765392, 0.27912988735928757, 0.12318149399928914, 0.25236719932784385, 0.07313399371334434, 0.047103069542871814, 0.05147819906691254, 0.21425043004402844, 0.1196820377711136, 0.07122918014573759, -0.26791743294238646, 0.05471565524378461, 0.046761003234482644] |
711.3483 | Collapsing Manifolds with Boundary | This manuscript studies manifolds-with-boundary collapsing in the
Gromov-Hausdorff topology. The main aim is an understanding of the relationship
of the topology and geometry of a limiting sequence of manifolds-with-boundary
to that of a limit space, which is presumed to be without geodesic terminals.
The main result establishes a disc bundle structure for any
manifold-with-boundary having two-sided bounds on sectional curvature and
second fundamental form, and a lower bound on intrinsic injectivity radius,
which is sufficiently close in the Gromov-Hausdorff topology to a closed
manifold.
The second main result identifies Gromov-Hausdorff limits of certain
sequences of manifolds-with-boundary as Alexandrov spaces of curvature bounded
below.
| math.DG | this manuscript studies manifoldswithboundary collapsing in the gromovhausdorff topology the main aim is an understanding of the relationship of the topology and geometry of a limiting sequence of manifoldswithboundary to that of a limit space which is presumed to be without geodesic terminals the main result establishes a disc bundle structure for any manifoldwithboundary having twosided bounds on sectional curvature and second fundamental form and a lower bound on intrinsic injectivity radius which is sufficiently close in the gromovhausdorff topology to a closed manifold the second main result identifies gromovhausdorff limits of certain sequences of manifoldswithboundary as alexandrov spaces of curvature bounded below | [['this', 'manuscript', 'studies', 'manifoldswithboundary', 'collapsing', 'in', 'the', 'gromovhausdorff', 'topology', 'the', 'main', 'aim', 'is', 'an', 'understanding', 'of', 'the', 'relationship', 'of', 'the', 'topology', 'and', 'geometry', 'of', 'a', 'limiting', 'sequence', 'of', 'manifoldswithboundary', 'to', 'that', 'of', 'a', 'limit', 'space', 'which', 'is', 'presumed', 'to', 'be', 'without', 'geodesic', 'terminals', 'the', 'main', 'result', 'establishes', 'a', 'disc', 'bundle', 'structure', 'for', 'any', 'manifoldwithboundary', 'having', 'twosided', 'bounds', 'on', 'sectional', 'curvature', 'and', 'second', 'fundamental', 'form', 'and', 'a', 'lower', 'bound', 'on', 'intrinsic', 'injectivity', 'radius', 'which', 'is', 'sufficiently', 'close', 'in', 'the', 'gromovhausdorff', 'topology', 'to', 'a', 'closed', 'manifold', 'the', 'second', 'main', 'result', 'identifies', 'gromovhausdorff', 'limits', 'of', 'certain', 'sequences', 'of', 'manifoldswithboundary', 'as', 'alexandrov', 'spaces', 'of', 'curvature', 'bounded', 'below']] | [-0.20856955881203407, 0.07253404117307459, -0.09111134201577566, 0.11571542992148078, -0.094426676852502, -0.07948002887401477, 0.055661417337053105, 0.33118187401045873, -0.2769018655006539, -0.24152411765970508, 0.13166283640458962, -0.23484640360077463, -0.13195712271698037, 0.18641376441109528, -0.16749463861048655, -0.0012901533401833431, 0.04215239280455031, 0.10760235250701458, -0.0706085158869154, -0.20939044712803065, 0.4426339260139729, 0.04036340768476134, 0.2427545409306016, 0.11255006420706372, 0.079648421308731, -0.06670471900640038, 0.023666008949114203, 0.013235998113619309, -0.20467086634814832, 0.15660385858918568, 0.2161536951576477, 0.0768858261329565, 0.2385877106221194, -0.35317788334440176, -0.17696900874629473, 0.15304407047433327, 0.13398410598702223, -0.003308413534434241, 0.014945359816955566, -0.29354475773147587, 0.13849170479778816, -0.04375808329199377, -0.16591032213775567, -0.007159560041737209, 0.0260739175521416, 0.011071663765797338, -0.1662829286058307, -0.0014712276949899869, 0.20532760378515835, 0.017420928030121095, -0.11662082665247246, -0.05717459553852677, -0.04759131886688902, 0.15382814914602966, 0.055596015065709506, 0.11722220986792185, 0.10055256991656226, -0.06232480693707984, -0.07265112385406945, 0.32982717928232497, -0.09973011695716566, -0.2145326444065397, 0.13076738472937524, -0.19775347121385406, -0.12552879644937595, 0.12065788037460116, 0.15697237016470397, 0.15958274995853888, -0.08740566467732933, 0.16095967771930764, -0.05375529902431101, 0.13213833663793442, 0.09958446077218062, 0.03677355988376132, 0.1765437938851639, 0.18250186503548355, 0.18494182633398806, 0.13155894947929977, -0.035123108343664305, -0.1027448079791779, -0.36972638872424957, -0.1964053370773982, -0.21966496091935042, 0.16626380758305775, -0.17255265167555478, -0.1931400430711999, 0.3206747331887086, 0.019013403489896396, 0.2498883504705341, 0.1334637748823474, 0.292546975941768, 0.03990847757425232, 0.008781250327762252, 0.10516468937807147, 0.22815092777815257, 0.24833336935459988, 0.024394652670592938, -0.10924030829376984, 0.043358160815771346, 0.16599215243904042] |
711.3484 | Averages of elliptic curve constants | We compute the averages over elliptic curves of the constants occurring in
the Lang-Trotter conjecture, the Koblitz conjecture, and the cyclicity
conjecture. The results obtained confirm the consistency of these conjectures
with the corresponding ``theorems on average'' obtained recently by various
authors.
| math.NT | we compute the averages over elliptic curves of the constants occurring in the langtrotter conjecture the koblitz conjecture and the cyclicity conjecture the results obtained confirm the consistency of these conjectures with the corresponding theorems on average obtained recently by various authors | [['we', 'compute', 'the', 'averages', 'over', 'elliptic', 'curves', 'of', 'the', 'constants', 'occurring', 'in', 'the', 'langtrotter', 'conjecture', 'the', 'koblitz', 'conjecture', 'and', 'the', 'cyclicity', 'conjecture', 'the', 'results', 'obtained', 'confirm', 'the', 'consistency', 'of', 'these', 'conjectures', 'with', 'the', 'corresponding', 'theorems', 'on', 'average', 'obtained', 'recently', 'by', 'various', 'authors']] | [-0.16600538648310162, 0.035986389651606304, -0.15140423784032464, 0.07668604067571107, 0.025697662683558605, -0.07048022556340411, 0.03267877982441513, 0.2657877997872198, -0.23772515334366334, -0.31925732846416177, 0.11997249872989155, -0.2641567307956783, -0.12706231902397813, 0.2814515063184358, -0.09858893776046378, 0.10627059319189616, 0.07245964713261596, 0.049033072732743765, -0.11142583069435898, -0.42032836880978375, 0.3285236842930317, -0.02987656972947575, 0.2442891433103276, 0.14550228232872628, 0.037329725677236206, 0.05383712842705704, -0.115816120945272, -0.03209507519689699, -0.25059236785663025, 0.20849224683340817, 0.2005474531047401, 0.07619388584446694, 0.1851236048553671, -0.3746977531838985, -0.1652484306167545, 0.12031402585229703, 0.05944716777421057, 0.04095205534914775, 0.01344293316859486, -0.2950829613976003, 0.1225309501779044, -0.08171697269149479, -0.23316907072218046, -0.04061201511372235, 0.0064301942918627035, 0.0708465806341597, -0.22138252632603758, 0.09967928683562648, 0.10353315022907086, 0.13120968548935794, -0.14034745915393745, -0.14595202627103954, -0.012210146183081503, 0.09866827220789023, 0.14379776620660864, -0.022000227866339542, -0.004100847179957089, -0.10116928545314641, -0.20169599485095768, 0.2887873665784441, -0.06508346319675357, -0.10941739921413716, 0.08880627718532369, -0.1603000560176692, -0.19843229866542278, 0.07361753698482755, 0.06563362135507521, 0.15860966601896853, -0.010367906685652477, 0.10719175448147802, -0.18317807452487095, 0.03274597870629458, 0.20221763290464878, -0.026491609180257433, 0.11075771356090194, -0.028119741295952173, -0.03012534352906403, 0.1347971198986107, -0.01725789538163337, -0.10304866612741967, -0.3140727130784875, -0.15397462747724994, -0.13320788733350733, 0.09010547019230823, -0.15553052229993877, -0.11742087981353204, 0.3824486889920774, 0.11040132375256646, 0.2052727160265758, 0.1710096749565786, 0.17169330468667404, 0.1505912262281137, 0.049456240207378176, 0.0818194274657539, 0.2397866239771247, 0.2650548768329567, 0.06740645736932666, -0.1921052229590714, 0.04619941299426414, 0.20205418350884602] |
711.3485 | A spectral stability theorem for large forbidden graphs | We extend the classical stability theorem of Erdos and Simonovits in two
directions: first, we allow the order of the forbidden graph to grow as log of
order of the host graph, and second, our extremal condition is on the spectral
radius of the host graph.
| math.CO | we extend the classical stability theorem of erdos and simonovits in two directions first we allow the order of the forbidden graph to grow as log of order of the host graph and second our extremal condition is on the spectral radius of the host graph | [['we', 'extend', 'the', 'classical', 'stability', 'theorem', 'of', 'erdos', 'and', 'simonovits', 'in', 'two', 'directions', 'first', 'we', 'allow', 'the', 'order', 'of', 'the', 'forbidden', 'graph', 'to', 'grow', 'as', 'log', 'of', 'order', 'of', 'the', 'host', 'graph', 'and', 'second', 'our', 'extremal', 'condition', 'is', 'on', 'the', 'spectral', 'radius', 'of', 'the', 'host', 'graph']] | [-0.12178324442356825, 0.06628418424288215, -0.06783283890589424, 0.043036146871441895, -0.0975156727084971, -0.06020642989112631, 0.07183263936768407, 0.3281473864234336, -0.25298774685791653, -0.3485563369872777, 0.13966848796395503, -0.3184458547393265, -0.11491512628677099, 0.10689089673004397, -0.09042917750775814, 0.06061989753304616, 0.014470723498126736, 0.07022612345020246, -0.01639088004341592, -0.2865176462794846, 0.3517782918845668, -0.008166748868382496, 0.17347739645502652, 0.11188379737912961, -0.016059033501812297, 0.051103792659452425, -0.020311512174489704, 0.04240808482079402, -0.21677782979753354, 0.14771355332239813, 0.19689158749078278, 0.1450839155839513, 0.24347410456317922, -0.38441589235773554, -0.14807460949067835, 0.15396993967663983, 0.11424354731064776, 0.07754431389596152, 0.03236394736703242, -0.2349150416481754, 0.1566030879140548, -0.09719463570407876, -0.15146003077920203, -0.001126045118207517, 0.01161669299978277, 0.04777085447036054, -0.22856024830885555, 0.08043444687095673, 0.1872673906871806, -0.0008243519974791485, -0.005563541619188111, -0.09695146265237228, -0.04400013730881493, 0.15937487311337306, 0.018749491691224925, 0.01304005137037324, 0.05803012926860348, -0.04996005601614066, -0.1473491024630873, 0.3478632504525392, -0.0506614924347757, -0.06086218778205955, 0.15922523640177172, -0.17812909961313658, -0.1764180716937003, 0.06707704380033133, 0.1697537440644658, 0.2113445376491417, -0.038338427330650716, 0.12316703553179927, -0.050852978164228894, 0.14596017579669537, 0.1531769465452627, 0.05169873097506554, 0.14457849759365554, 0.1443844893542321, 0.142498049520604, 0.18224193180060905, -0.067396827138272, -0.06233980988516756, -0.29317273231952085, -0.17532517971551936, -0.23972877651534003, 0.049797595579825014, -0.20241359206177192, -0.18614941951818764, 0.45932226891264966, 0.13965953246098134, 0.1904964932726453, 0.0935704568805902, 0.21921029767912367, 0.09379477018449942, 0.034355446635543005, 0.11457964266731363, 0.22545360858835603, 0.24155198199593503, 0.04493704473640284, -0.2095673173500235, 0.026192492810482887, 0.14335657884974196] |
711.3486 | Radio galaxies in the 2SLAQ Luminous Red Galaxy survey: II. The stellar
populations of radio-loud and radio-quiet LRGs | We present an analysis of the optical spectra of a volume-limited sample of
375 radio galaxies at redshift 0.4<z<0.7 from the 2dF-SDSS Luminous Red Galaxy
and QSO (2SLAQ) redshift survey. We investigate the evolution of the stellar
populations and emission-line properties of these galaxies. By constructing
composite spectra and comparing with a matched sample of radio-quiet sources
from the same survey, we also investigate the effect on the galaxy of the
presence of an active nucleus.
The composite spectra, binned by redshift and radio luminosity, all require
two components to describe them, which we interpret as an old and a younger
population. We found no evolution with redshift of the age of the younger
population in radio galaxies, nor were they different from the radio-quiet
comparison sample. Similarly, there is no correlation with radio power, with
the exception that the most powerful radio sources (P(1.4) > 10^26 W/Hz) have
younger stars and stronger emission lines than the less powerful sources. This
suggests that we have located the threshold in radio power where strong
emission lines "switch on", at radio powers of around 10^26 W/Hz. Except for
the very powerful radio galaxies, the presence of a currently-active radio AGN
does not appear to be correlated with any change in the observed stellar
population of a luminous red galaxy at z~0.5.
| astro-ph | we present an analysis of the optical spectra of a volumelimited sample of 375 radio galaxies at redshift 04z07 from the 2dfsdss luminous red galaxy and qso 2slaq redshift survey we investigate the evolution of the stellar populations and emissionline properties of these galaxies by constructing composite spectra and comparing with a matched sample of radioquiet sources from the same survey we also investigate the effect on the galaxy of the presence of an active nucleus the composite spectra binned by redshift and radio luminosity all require two components to describe them which we interpret as an old and a younger population we found no evolution with redshift of the age of the younger population in radio galaxies nor were they different from the radioquiet comparison sample similarly there is no correlation with radio power with the exception that the most powerful radio sources p14 1026 whz have younger stars and stronger emission lines than the less powerful sources this suggests that we have located the threshold in radio power where strong emission lines switch on at radio powers of around 1026 whz except for the very powerful radio galaxies the presence of a currentlyactive radio agn does not appear to be correlated with any change in the observed stellar population of a luminous red galaxy at z05 | [['we', 'present', 'an', 'analysis', 'of', 'the', 'optical', 'spectra', 'of', 'a', 'volumelimited', 'sample', 'of', '375', 'radio', 'galaxies', 'at', 'redshift', '04z07', 'from', 'the', '2dfsdss', 'luminous', 'red', 'galaxy', 'and', 'qso', '2slaq', 'redshift', 'survey', 'we', 'investigate', 'the', 'evolution', 'of', 'the', 'stellar', 'populations', 'and', 'emissionline', 'properties', 'of', 'these', 'galaxies', 'by', 'constructing', 'composite', 'spectra', 'and', 'comparing', 'with', 'a', 'matched', 'sample', 'of', 'radioquiet', 'sources', 'from', 'the', 'same', 'survey', 'we', 'also', 'investigate', 'the', 'effect', 'on', 'the', 'galaxy', 'of', 'the', 'presence', 'of', 'an', 'active', 'nucleus', 'the', 'composite', 'spectra', 'binned', 'by', 'redshift', 'and', 'radio', 'luminosity', 'all', 'require', 'two', 'components', 'to', 'describe', 'them', 'which', 'we', 'interpret', 'as', 'an', 'old', 'and', 'a', 'younger', 'population', 'we', 'found', 'no', 'evolution', 'with', 'redshift', 'of', 'the', 'age', 'of', 'the', 'younger', 'population', 'in', 'radio', 'galaxies', 'nor', 'were', 'they', 'different', 'from', 'the', 'radioquiet', 'comparison', 'sample', 'similarly', 'there', 'is', 'no', 'correlation', 'with', 'radio', 'power', 'with', 'the', 'exception', 'that', 'the', 'most', 'powerful', 'radio', 'sources', 'p14', '1026', 'whz', 'have', 'younger', 'stars', 'and', 'stronger', 'emission', 'lines', 'than', 'the', 'less', 'powerful', 'sources', 'this', 'suggests', 'that', 'we', 'have', 'located', 'the', 'threshold', 'in', 'radio', 'power', 'where', 'strong', 'emission', 'lines', 'switch', 'on', 'at', 'radio', 'powers', 'of', 'around', '1026', 'whz', 'except', 'for', 'the', 'very', 'powerful', 'radio', 'galaxies', 'the', 'presence', 'of', 'a', 'currentlyactive', 'radio', 'agn', 'does', 'not', 'appear', 'to', 'be', 'correlated', 'with', 'any', 'change', 'in', 'the', 'observed', 'stellar', 'population', 'of', 'a', 'luminous', 'red', 'galaxy', 'at', 'z05']] | [-0.03475784316813479, 0.08447244613020186, -0.0549061699568676, 0.13022093107486102, -0.12220003774114949, -0.06402373339091363, 0.05353675943730648, 0.48834767268137996, -0.06746029265682012, -0.33873838704714576, 0.032532295976628114, -0.33292256685645505, -0.0038815147548158595, 0.2113245113436999, 0.011048507284424547, -0.09534603649319025, 0.00022683360035561265, -0.11507674460277854, -0.008863865979678911, -0.2488816183839371, 0.32665650005782804, 0.089955408054228, 0.19902690498733439, -0.09981681596782688, 0.06915614515122387, -0.10701916799510396, -0.11188568951656466, -0.013400028974744856, -0.08825229796826944, 0.024705757020032762, 0.28880025616370586, 0.15067704862696096, 0.24465872450572898, -0.3157875823573017, -0.1831911479400295, 0.13540648839603853, 0.22087361921517668, 0.027700274838842794, -0.07888104901048204, -0.26045290028787976, 0.10087366277794031, -0.19392813071136444, -0.1730706095480905, 0.13603170363614464, 0.010481372475624084, 0.06564633982483521, -0.15922380799281707, 0.1597396034736901, 0.0012109220723464896, 0.130715260818635, -0.09335073511532511, -0.1029763250667516, -0.060455329932941955, 0.08543214310509956, 0.004678673148455639, 0.04933735418180647, 0.16047474749660987, -0.15579752834870003, -0.055846810007997905, 0.3888542955732703, -0.041806488713447526, 0.057092589107052366, 0.2405956169741372, -0.23591532115717226, -0.2222826599018983, 0.12980599775438278, 0.17532924884095497, 0.11949442497621965, -0.15109677012679318, -0.028657006623957322, -0.016191210874575212, 0.2699212917311263, -0.006299858280856695, 0.11540377422462969, 0.3023690166561285, 0.056005639791776196, 0.0628077803312869, 0.1144174977403117, -0.23241959829948314, 0.04112249928256197, -0.2349053058979286, -0.04742951352956108, -0.13427140518608782, 0.16012871464128844, -0.13932154354843748, -0.12832850097568088, 0.3916211131174753, 0.07610833736282477, 0.21283377616112079, 0.11826175868388883, 0.2995589821028613, 0.10749040397628713, 0.13665308822988487, 0.16002840810339503, 0.3212434190415567, 0.16411874155634112, 0.06126345942990022, -0.21503784722639976, 0.04966901932936376, -0.05244636048758907] |
711.3487 | Manifestations of Broken Symmetry: The Surface Phases of
Ca(2-x)Sr(x)RuO4 | The surface structural phases of Ca(2-x)Sr(x)RuO(4) are investigated using
quantitative Low Energy Electron Diffraction. The broken symmetry at the
surface enhances the structural instability against the RuO6 rotational
distortion while diminishing the instability against the RuO6 tilt distortion
occurring within the bulk crystal. As a result, suppressed structural and
electronic surface phase transition temperatures are observed, including the
appearance of an inherent Mott metal-to-insulator transition for x = 0.1 and
possible modifications of the surface quantum critical point near xc ~ 0.5.
| cond-mat.str-el | the surface structural phases of ca2xsrxruo4 are investigated using quantitative low energy electron diffraction the broken symmetry at the surface enhances the structural instability against the ruo6 rotational distortion while diminishing the instability against the ruo6 tilt distortion occurring within the bulk crystal as a result suppressed structural and electronic surface phase transition temperatures are observed including the appearance of an inherent mott metaltoinsulator transition for x 01 and possible modifications of the surface quantum critical point near xc 05 | [['the', 'surface', 'structural', 'phases', 'of', 'ca2xsrxruo4', 'are', 'investigated', 'using', 'quantitative', 'low', 'energy', 'electron', 'diffraction', 'the', 'broken', 'symmetry', 'at', 'the', 'surface', 'enhances', 'the', 'structural', 'instability', 'against', 'the', 'ruo6', 'rotational', 'distortion', 'while', 'diminishing', 'the', 'instability', 'against', 'the', 'ruo6', 'tilt', 'distortion', 'occurring', 'within', 'the', 'bulk', 'crystal', 'as', 'a', 'result', 'suppressed', 'structural', 'and', 'electronic', 'surface', 'phase', 'transition', 'temperatures', 'are', 'observed', 'including', 'the', 'appearance', 'of', 'an', 'inherent', 'mott', 'metaltoinsulator', 'transition', 'for', 'x', '01', 'and', 'possible', 'modifications', 'of', 'the', 'surface', 'quantum', 'critical', 'point', 'near', 'xc', '05']] | [-0.18567964191897773, 0.22505676711025444, -0.04458569488602393, 0.07157295306678861, 0.013134036547853611, -0.12870520203723573, 0.11146225192060229, 0.35913234888575973, -0.3019817443098873, -0.2918530082097277, 0.05007092154119164, -0.32259058074560015, -0.12525908870447894, 0.10066524751018732, 0.023275274943443947, 0.04623032140079886, -0.09614909483934753, -0.04677586087855161, -0.1827199432773341, -0.13189404006261612, 0.284923729498405, 0.07785659275687067, 0.3425216119736433, 0.09903870568959974, 0.011162101330410224, -0.018669130685157142, 0.1318298496073112, 0.017678396351402625, -0.20567059516324662, -0.016308006667532026, 0.22549530065443832, -0.08901595980405545, 0.16015222612768412, -0.41670247291913254, -0.26107843666395636, -0.007356306310975924, 0.06665780773837468, 0.13136959331168327, -0.11159983496181666, -0.27636605145817156, 0.06889977586943133, -0.08724915962666273, -0.15107450266368688, -0.08171042457106523, -0.041809011448640375, -0.03167217003719998, -0.20256321085616946, 0.1736059434013441, 0.09558885951992124, 0.13743113404198085, -0.11488492978969589, -0.1013625143590616, -0.18450964691583066, 0.08229054825787899, 0.0797687981335912, 0.113247682878864, 0.1954617965282523, -0.1004192803229671, -0.027403258308186195, 0.4214541147928685, -0.01753077916800976, -0.019947457371745258, 0.1865716375876218, -0.19575713821413956, -0.07521722960518673, 0.2863881612254772, 0.10383528039128578, 0.0502463320561219, -0.04113830750575289, 0.05942327834382013, 0.10338820228353143, 0.18488901027776591, 0.09393154812569264, 0.09792929374380037, 0.2645516015647445, 0.1814651939959731, 0.03695722967386246, 0.1339728211169131, -0.17819192151073365, -0.07969476966609364, -0.27137373652076346, -0.11043684086180292, -0.17222303589223883, -0.005977074423572049, -0.13212063693754317, -0.19963057965505868, 0.36682568409014493, 0.07834825654717861, 0.17638328525354155, -0.0593570444296347, 0.23010707670619013, 0.10244604513136438, 0.04141748583060689, 0.014107415813487022, 0.2690532567794435, 0.14885086782305734, 0.057160292137996296, -0.32612111759372053, 0.1106713425306225, 0.028671784048492556] |
711.3488 | Spectral saturation: inverting the spectral Turan theorem | We prove that if the spectral radius of a graph G of order n is larger than
the spectral radius of the r-partite Turan graph of the same order, then G
contains various supergraphs of the complete graph of order r+1. In particular
G contains a complete r-partite graph of size log n with one edge added to the
first part. These results complete a project of Erdos from 1963. We also give
corresponding stability results.
| math.CO | we prove that if the spectral radius of a graph g of order n is larger than the spectral radius of the rpartite turan graph of the same order then g contains various supergraphs of the complete graph of order r1 in particular g contains a complete rpartite graph of size log n with one edge added to the first part these results complete a project of erdos from 1963 we also give corresponding stability results | [['we', 'prove', 'that', 'if', 'the', 'spectral', 'radius', 'of', 'a', 'graph', 'g', 'of', 'order', 'n', 'is', 'larger', 'than', 'the', 'spectral', 'radius', 'of', 'the', 'rpartite', 'turan', 'graph', 'of', 'the', 'same', 'order', 'then', 'g', 'contains', 'various', 'supergraphs', 'of', 'the', 'complete', 'graph', 'of', 'order', 'r1', 'in', 'particular', 'g', 'contains', 'a', 'complete', 'rpartite', 'graph', 'of', 'size', 'log', 'n', 'with', 'one', 'edge', 'added', 'to', 'the', 'first', 'part', 'these', 'results', 'complete', 'a', 'project', 'of', 'erdos', 'from', '1963', 'we', 'also', 'give', 'corresponding', 'stability', 'results']] | [-0.15210203108328738, 0.07047991350133855, -0.08674138014842021, 0.019434134311986304, -0.10607381294309896, -0.08064966961913007, 0.014829110770829414, 0.33276972287383516, -0.195519628873291, -0.351178905032085, 0.09070878377104619, -0.34611606877297163, -0.12484262601279433, 0.09124736696187603, -0.10304170270070531, 0.011598473482177053, 0.10469864778171636, 0.16497419453471115, -0.014420356390090953, -0.30632037908531184, 0.2993065978639367, -0.043630495765491537, 0.11880973736008041, 0.07982129614653163, 0.0007085903719263641, 0.019160588504746556, -0.01411239778328883, 0.1002138629494431, -0.2374965642295712, 0.12195164361037314, 0.23362705972057915, 0.15316682181161778, 0.2780265198824437, -0.3745912652658789, -0.1404518097896423, 0.18508105820020368, 0.10767724259303098, 0.03257127097611757, 0.04921893269056454, -0.19970180860438727, 0.17356139640813986, -0.13574633427503469, -0.14136561431223527, 0.03757580617246659, 0.12856277504837826, 0.003393138918143354, -0.27840282475134653, 0.014787747974639243, 0.14095679892374105, 0.030621152647271582, 0.06123567381751185, -0.18724763558834398, -0.08447237294565543, 0.12854666714433974, -0.06668355553962388, 0.05977874979879217, 0.011936950668888656, -0.0942738995769392, -0.10785668513026873, 0.3743737129996972, -0.07753951914587799, -0.06319214891348231, 0.07419091874831601, -0.1875464238079363, -0.1766179608683543, 0.13728417264064774, 0.12437785811428177, 0.18012910958771644, -0.04855805716330284, 0.12921395025363094, -0.10158952826474744, 0.18289330316168306, 0.12323910213614765, 0.049025967018678784, 0.09814214859598953, 0.14876929079304987, 0.1719802315224354, 0.21099657556164617, -0.007932367789755134, 0.05570036228010921, -0.3690163954896362, -0.10891170199274232, -0.2572197741461231, 0.10602907604832006, -0.20852033415270088, -0.18393015128707416, 0.4484487042002576, 0.1071237061834453, 0.19129886489214473, 0.09445733975275959, 0.21364077560505584, 0.07806329788352166, 0.033633636292315236, 0.16982201510109007, 0.11823420331960446, 0.21852476670602827, -0.027126644823798222, -0.17454257359924286, -0.01989809679798782, 0.16853788589421465] |
711.3489 | A negative mass theorem for the 2-Torus | For a closed surface M with metric g, the Robin mass m(p) at the point p is
the value of the Green function G(p,q) at p=q after the logarithmic singularity
has been removed. The Laplacian-mass is the average value of the Robin mass,
minus the value of the Robin mass for the round sphere of the same area. The
Laplacian-mass is a spectral invariant which is a natural analog of the ADM
mass for asymptotically flat manifolds. We show that if M is a torus, then the
minimum value of the Laplacian-mass on the conformal class of g is negative. It
is attained by a (smooth) metric for which one gets a sharp logarithmic
Hardy-Littlewood-Sobolev inequality and Onofri-type inequality. If the flat
metric in the conformal class is sufficiently long and thin, then the minimizer
for the Laplacian-mass is non-flat.
| math.SP math.DG | for a closed surface m with metric g the robin mass mp at the point p is the value of the green function gpq at pq after the logarithmic singularity has been removed the laplacianmass is the average value of the robin mass minus the value of the robin mass for the round sphere of the same area the laplacianmass is a spectral invariant which is a natural analog of the adm mass for asymptotically flat manifolds we show that if m is a torus then the minimum value of the laplacianmass on the conformal class of g is negative it is attained by a smooth metric for which one gets a sharp logarithmic hardylittlewoodsobolev inequality and onofritype inequality if the flat metric in the conformal class is sufficiently long and thin then the minimizer for the laplacianmass is nonflat | [['for', 'a', 'closed', 'surface', 'm', 'with', 'metric', 'g', 'the', 'robin', 'mass', 'mp', 'at', 'the', 'point', 'p', 'is', 'the', 'value', 'of', 'the', 'green', 'function', 'gpq', 'at', 'pq', 'after', 'the', 'logarithmic', 'singularity', 'has', 'been', 'removed', 'the', 'laplacianmass', 'is', 'the', 'average', 'value', 'of', 'the', 'robin', 'mass', 'minus', 'the', 'value', 'of', 'the', 'robin', 'mass', 'for', 'the', 'round', 'sphere', 'of', 'the', 'same', 'area', 'the', 'laplacianmass', 'is', 'a', 'spectral', 'invariant', 'which', 'is', 'a', 'natural', 'analog', 'of', 'the', 'adm', 'mass', 'for', 'asymptotically', 'flat', 'manifolds', 'we', 'show', 'that', 'if', 'm', 'is', 'a', 'torus', 'then', 'the', 'minimum', 'value', 'of', 'the', 'laplacianmass', 'on', 'the', 'conformal', 'class', 'of', 'g', 'is', 'negative', 'it', 'is', 'attained', 'by', 'a', 'smooth', 'metric', 'for', 'which', 'one', 'gets', 'a', 'sharp', 'logarithmic', 'hardylittlewoodsobolev', 'inequality', 'and', 'onofritype', 'inequality', 'if', 'the', 'flat', 'metric', 'in', 'the', 'conformal', 'class', 'is', 'sufficiently', 'long', 'and', 'thin', 'then', 'the', 'minimizer', 'for', 'the', 'laplacianmass', 'is', 'nonflat']] | [-0.16527123442751224, 0.08761243861601023, -0.10832858033744353, 0.0692981173658544, -0.07552887858390542, -0.17286001966068787, -0.00383291778478971, 0.313108777870158, -0.2268480286002159, -0.26442669440293687, 0.14067702291649767, -0.30055593837252154, -0.09158030652906746, 0.15839439923875034, -0.08722574217244983, 0.05680337122175842, 0.015695837925055196, 0.1382103520911187, -0.09785925753115277, -0.24892189035724316, 0.3938495292328298, 0.013610123270856483, 0.2338995692320168, 0.08467668740943607, 0.09987413147630703, -0.020579646208456585, 0.07161815407286798, 0.030714582076429256, -0.1685502308816337, 0.05699858045471566, 0.15950042012513482, 0.05988112488495452, 0.2860974970539766, -0.29772005545507585, -0.18054684969330473, 0.16774641148346875, 0.06776587377368871, 0.009752978349570184, -0.0252348995925526, -0.2199864198187632, 0.13707450089482986, -0.07496953085397504, -0.18737020836810447, 0.05461979691005711, 0.08627833042825972, -0.059548719786939076, -0.2968228088488104, 0.08399640926675472, 0.06224422861954996, -0.019025580219126172, -0.06478715393625732, -0.08890416546159291, -0.08331471376919321, 0.07724212651041203, 0.06018589735862666, 0.11502725788741372, 0.10327734322220619, -0.10685109036442425, -0.015194456172840936, 0.341808567967798, -0.10549479287915996, -0.2181629323134465, 0.07171568429413518, -0.16713828015074667, -0.09964345303763236, 0.10670294716796239, 0.08266601532232017, 0.1709992750215211, -0.09601292108085804, 0.19765069457353093, -0.08895839835666786, 0.11196202923248555, 0.11405580249348922, -0.03313338224709566, 0.18468019286436693, 0.10927544339626495, 0.17948476642237177, 0.1366682649590075, -0.07931738420115185, -0.0603167095986594, -0.3627152869211776, -0.201175891787612, -0.23978150831868073, 0.13613995655406533, -0.17338739129627356, -0.18060529339626166, 0.3644565264827439, -0.040921516474710574, 0.22139686181742166, 0.12079000705499701, 0.2389590811117419, 0.14648330287475672, 0.08787734158603208, 0.13464125497765572, 0.24065176796700274, 0.11964058803860098, 0.06705266609133105, -0.2057919753100058, -0.008092323828688158, 0.1308045683994091] |
711.349 | Generalized duality for graphs on surfaces and the signed
Bollobas-Riordan polynomial | We generalize the natural duality of graphs embedded into a surface to a
duality with respect to a subset of edges. The dual graph might be embedded
into a different surface. We prove a relation between the signed
Bollobas-Riordan polynomials of dual graphs. This relation unifies various
recent results expressing the Jones polynomial of links as specializations of
the Bollobas-Riordan polynomials.
| math.CO math.GT | we generalize the natural duality of graphs embedded into a surface to a duality with respect to a subset of edges the dual graph might be embedded into a different surface we prove a relation between the signed bollobasriordan polynomials of dual graphs this relation unifies various recent results expressing the jones polynomial of links as specializations of the bollobasriordan polynomials | [['we', 'generalize', 'the', 'natural', 'duality', 'of', 'graphs', 'embedded', 'into', 'a', 'surface', 'to', 'a', 'duality', 'with', 'respect', 'to', 'a', 'subset', 'of', 'edges', 'the', 'dual', 'graph', 'might', 'be', 'embedded', 'into', 'a', 'different', 'surface', 'we', 'prove', 'a', 'relation', 'between', 'the', 'signed', 'bollobasriordan', 'polynomials', 'of', 'dual', 'graphs', 'this', 'relation', 'unifies', 'various', 'recent', 'results', 'expressing', 'the', 'jones', 'polynomial', 'of', 'links', 'as', 'specializations', 'of', 'the', 'bollobasriordan', 'polynomials']] | [-0.1883035647514902, 0.0813734553922273, -0.12632803901358217, 0.07020814335698904, -0.15044569839402788, -0.10489929943024869, 0.0027276662094365867, 0.3214865755289793, -0.3435352687708667, -0.2708720352517853, 0.0473739294961217, -0.2474590655965883, -0.22359538267626136, 0.16726416824232848, -0.14655163800191195, -0.0027205504469390287, 0.03570326102981496, 0.02645374852858606, -0.1150601050495857, -0.25616165268336055, 0.31628011551792506, -0.05071214890321259, 0.22054934126065404, 0.10177382548553411, 0.1075377793616203, 0.019569328749460765, -0.03616747614301619, 0.07578129748829075, -0.14792862310089538, 0.17213347217556638, 0.27029721820574315, 0.14236359836793214, 0.17643743598467257, -0.41951402569891977, -0.13563522488855925, 0.19852482026717702, 0.12214573147538745, 0.015333021990954876, 0.00847609498018979, -0.26902099982759015, 0.07643100440685378, -0.1424099734114086, -0.12271392339321434, 0.010476231437603959, 0.025825285459639597, 0.05712339144627579, -0.24916278996855998, -0.03830279035829618, 0.10054821917237561, 0.06790072189216487, 0.009035937457543905, -0.09848196517492903, -0.03052014383281291, 0.10618318903611088, -0.04251152310581481, 0.0788934244774282, 0.03217699401630241, -0.14724572655958595, -0.20183427011991134, 0.3491444366632915, -0.026171241444153864, -0.22603774795568257, 0.18231438405689646, -0.11615526746408861, -0.2090733097255474, 0.049066290969303886, 0.1381019265009243, 0.110877981317825, -0.0666922991331972, 0.10515254465710433, -0.17392874820554843, 0.05998073273994883, 0.1589187043337304, 0.03654591146795476, 0.20139509011976053, 0.05832465597596325, 0.05883669028760957, 0.27715482834734206, 0.05833519918874639, -0.09231953994661081, -0.2899843316036658, -0.23902227473063548, -0.18149122791212113, 0.054273360298152586, -0.22716259589937868, -0.17057156555171385, 0.44507231392332763, 0.06042048171712238, 0.23941789326242735, 0.17579876985706266, 0.2043296953693765, 0.08914570836159477, 0.09033202251694242, 0.062212749521751876, 0.09666595818688635, 0.26507449773002845, 0.01224236955224979, -0.1313534340836474, 0.01784652554559842, 0.21418635774648093] |
711.3491 | Analytic Central Orbits and their Transformation Group | A useful crude approximation for Abelian functions is developed and applied
to orbits. The bound orbits in the power-law potentials A*r^{-alpha} take the
simple form (l/r)^k = 1 + e cos(m*phi), where k = 2 - alpha > 0 and 'l' and 'e'
are generalisations of the semi-latus-rectum and the eccentricity. 'm' is given
as a function of 'eccentricity'. For nearly circular orbits 'm' is sqrt{k},
while the above orbit becomes exact at the energy of escape where 'e' is one
and 'm' is 'k'. Orbits in the logarithmic potential that gives rise to a
constant circular velocity are derived via the limit of small alpha. For such
orbits, r^2 vibrates almost harmonically whatever the 'eccentricity'. Unbound
orbits in power-law potentials are given in an appendix. The transformation of
orbits in one potential to give orbits in a different potential is used to
determine orbits in potentials that are positive powers of r. These
transformations are extended to form a group which associates orbits in sets of
six potentials, e.g. there are corresponding orbits in the potentials
proportional to r, r^{-2/3}, r^{-3}, r^{-6}, r^{4/3} and r^{-4}. A degeneracy
reduces this to three, which are r^{-1}, r^2 and r^{-4} for the Keplerian case.
A generalisation of this group includes the isochrone with the Kepler set.
| astro-ph | a useful crude approximation for abelian functions is developed and applied to orbits the bound orbits in the powerlaw potentials aralpha take the simple form lrk 1 e cosmphi where k 2 alpha 0 and l and e are generalisations of the semilatusrectum and the eccentricity m is given as a function of eccentricity for nearly circular orbits m is sqrtk while the above orbit becomes exact at the energy of escape where e is one and m is k orbits in the logarithmic potential that gives rise to a constant circular velocity are derived via the limit of small alpha for such orbits r2 vibrates almost harmonically whatever the eccentricity unbound orbits in powerlaw potentials are given in an appendix the transformation of orbits in one potential to give orbits in a different potential is used to determine orbits in potentials that are positive powers of r these transformations are extended to form a group which associates orbits in sets of six potentials eg there are corresponding orbits in the potentials proportional to r r23 r3 r6 r43 and r4 a degeneracy reduces this to three which are r1 r2 and r4 for the keplerian case a generalisation of this group includes the isochrone with the kepler set | [['a', 'useful', 'crude', 'approximation', 'for', 'abelian', 'functions', 'is', 'developed', 'and', 'applied', 'to', 'orbits', 'the', 'bound', 'orbits', 'in', 'the', 'powerlaw', 'potentials', 'aralpha', 'take', 'the', 'simple', 'form', 'lrk', '1', 'e', 'cosmphi', 'where', 'k', '2', 'alpha', '0', 'and', 'l', 'and', 'e', 'are', 'generalisations', 'of', 'the', 'semilatusrectum', 'and', 'the', 'eccentricity', 'm', 'is', 'given', 'as', 'a', 'function', 'of', 'eccentricity', 'for', 'nearly', 'circular', 'orbits', 'm', 'is', 'sqrtk', 'while', 'the', 'above', 'orbit', 'becomes', 'exact', 'at', 'the', 'energy', 'of', 'escape', 'where', 'e', 'is', 'one', 'and', 'm', 'is', 'k', 'orbits', 'in', 'the', 'logarithmic', 'potential', 'that', 'gives', 'rise', 'to', 'a', 'constant', 'circular', 'velocity', 'are', 'derived', 'via', 'the', 'limit', 'of', 'small', 'alpha', 'for', 'such', 'orbits', 'r2', 'vibrates', 'almost', 'harmonically', 'whatever', 'the', 'eccentricity', 'unbound', 'orbits', 'in', 'powerlaw', 'potentials', 'are', 'given', 'in', 'an', 'appendix', 'the', 'transformation', 'of', 'orbits', 'in', 'one', 'potential', 'to', 'give', 'orbits', 'in', 'a', 'different', 'potential', 'is', 'used', 'to', 'determine', 'orbits', 'in', 'potentials', 'that', 'are', 'positive', 'powers', 'of', 'r', 'these', 'transformations', 'are', 'extended', 'to', 'form', 'a', 'group', 'which', 'associates', 'orbits', 'in', 'sets', 'of', 'six', 'potentials', 'eg', 'there', 'are', 'corresponding', 'orbits', 'in', 'the', 'potentials', 'proportional', 'to', 'r', 'r23', 'r3', 'r6', 'r43', 'and', 'r4', 'a', 'degeneracy', 'reduces', 'this', 'to', 'three', 'which', 'are', 'r1', 'r2', 'and', 'r4', 'for', 'the', 'keplerian', 'case', 'a', 'generalisation', 'of', 'this', 'group', 'includes', 'the', 'isochrone', 'with', 'the', 'kepler', 'set']] | [-0.19975156282133238, 0.12135286586465155, -0.08930075508294906, 0.057548622018095234, -0.030120253747392103, -0.15642488176668973, -0.0007795752424033638, 0.334799785612394, -0.22016844033727034, -0.26481544414697133, 0.04859765490645246, -0.29620426919385523, -0.07780178055135704, 0.21532995740496125, -0.05131950899103773, 0.024334699058329353, 0.024437452214860003, 0.08418969437367495, -0.050629109936059964, -0.2601574359614636, 0.29048070113809, -0.013059626938550225, 0.0794543344527483, -0.005033911463404119, 0.040160603511961546, -0.009026869077568396, 0.038268098958592484, -0.006166802208582704, -0.17959978577045663, 0.09829509947763909, 0.19555982561548046, 0.0486806063318922, 0.21186111524818096, -0.32586617463443807, -0.15001082473776442, 0.12205939981321566, 0.16198919116257035, 0.049541514210519944, -0.0030283654752020963, -0.23906269026717739, 0.09426250101341574, -0.17211339706420034, -0.2133183114113655, -0.0593946250403021, 0.19893506512153838, 0.05031651306581337, -0.30526437778205834, 0.08280722736408762, 0.09648058442528257, 0.0563435432241593, -0.09004766880962008, -0.13072541418174902, -0.05249815213646974, 0.10135868732066114, 0.053510071025882365, 0.07505623804763013, 0.11517606757959162, -0.05490629540380666, -0.030469664600835257, 0.4323064640686276, -0.09070017102403917, -0.20238786209644616, 0.187960455118755, -0.19350021792989638, -0.09856189474922375, 0.15504899344537498, 0.14295328190496218, 0.12432244316683767, -0.0943507357513991, 0.1770162498266301, -0.01654581276090829, 0.10791665887919025, 0.13776837970391095, -0.030296474548983546, 0.22806152150795259, 0.048958908275539136, 0.1228453336690737, 0.08083256619087092, -0.08624335945975306, -0.05828487059632361, -0.31089267745650045, -0.1047720555758783, -0.14172356466398292, 0.068804237505664, -0.09502475482142016, -0.16632059763370144, 0.35022294850894004, 0.048306036709047456, 0.2640861861479743, 0.0705720943742958, 0.228977769345567, 0.12197594305367945, 0.04667834952757086, 0.11804122452124738, 0.22595229352585935, 0.1405102215844526, -0.003514173242672918, -0.1733224600000118, -0.03690287411878794, 0.08206260315444014] |
711.3492 | Fourier transform inequalities for phylogenetic trees | Phylogenetic invariants are not the only constraints on site-pattern
frequency vectors for phylogenetic trees. A mutation matrix, by its definition,
is the exponential of a matrix with non-negative off-diagonal entries; this
positivity requirement implies non-trivial constraints on the site-pattern
frequency vectors. We call these additional constraints ``edge-parameter
inequalities.'' In this paper, we first motivate the edge-parameter
inequalities by considering a pathological site-pattern frequency vector
corresponding to a quartet tree with a negative internal edge. This
site-pattern frequency vector nevertheless satisfies all of the constraints
described up to now in the literature. We next describe two complete sets of
edge-parameter inequalities for the group-based models; these constraints are
square-free monomial inequalities in the Fourier transformed coordinates. These
inequalities, along with the phylogenetic invariants, form a complete
description of the set of site-pattern frequency vectors corresponding to
\emph{bona fide} trees. Said in mathematical language, this paper explicitly
presents two finite lists of inequalities in Fourier coordinates of the form
``monomial $\leq 1$,'' each list characterizing the phylogenetically relevant
semialgebraic subsets of the phylogenetic varieties.
| q-bio.PE | phylogenetic invariants are not the only constraints on sitepattern frequency vectors for phylogenetic trees a mutation matrix by its definition is the exponential of a matrix with nonnegative offdiagonal entries this positivity requirement implies nontrivial constraints on the sitepattern frequency vectors we call these additional constraints edgeparameter inequalities in this paper we first motivate the edgeparameter inequalities by considering a pathological sitepattern frequency vector corresponding to a quartet tree with a negative internal edge this sitepattern frequency vector nevertheless satisfies all of the constraints described up to now in the literature we next describe two complete sets of edgeparameter inequalities for the groupbased models these constraints are squarefree monomial inequalities in the fourier transformed coordinates these inequalities along with the phylogenetic invariants form a complete description of the set of sitepattern frequency vectors corresponding to emphbona fide trees said in mathematical language this paper explicitly presents two finite lists of inequalities in fourier coordinates of the form monomial leq 1 each list characterizing the phylogenetically relevant semialgebraic subsets of the phylogenetic varieties | [['phylogenetic', 'invariants', 'are', 'not', 'the', 'only', 'constraints', 'on', 'sitepattern', 'frequency', 'vectors', 'for', 'phylogenetic', 'trees', 'a', 'mutation', 'matrix', 'by', 'its', 'definition', 'is', 'the', 'exponential', 'of', 'a', 'matrix', 'with', 'nonnegative', 'offdiagonal', 'entries', 'this', 'positivity', 'requirement', 'implies', 'nontrivial', 'constraints', 'on', 'the', 'sitepattern', 'frequency', 'vectors', 'we', 'call', 'these', 'additional', 'constraints', 'edgeparameter', 'inequalities', 'in', 'this', 'paper', 'we', 'first', 'motivate', 'the', 'edgeparameter', 'inequalities', 'by', 'considering', 'a', 'pathological', 'sitepattern', 'frequency', 'vector', 'corresponding', 'to', 'a', 'quartet', 'tree', 'with', 'a', 'negative', 'internal', 'edge', 'this', 'sitepattern', 'frequency', 'vector', 'nevertheless', 'satisfies', 'all', 'of', 'the', 'constraints', 'described', 'up', 'to', 'now', 'in', 'the', 'literature', 'we', 'next', 'describe', 'two', 'complete', 'sets', 'of', 'edgeparameter', 'inequalities', 'for', 'the', 'groupbased', 'models', 'these', 'constraints', 'are', 'squarefree', 'monomial', 'inequalities', 'in', 'the', 'fourier', 'transformed', 'coordinates', 'these', 'inequalities', 'along', 'with', 'the', 'phylogenetic', 'invariants', 'form', 'a', 'complete', 'description', 'of', 'the', 'set', 'of', 'sitepattern', 'frequency', 'vectors', 'corresponding', 'to', 'emphbona', 'fide', 'trees', 'said', 'in', 'mathematical', 'language', 'this', 'paper', 'explicitly', 'presents', 'two', 'finite', 'lists', 'of', 'inequalities', 'in', 'fourier', 'coordinates', 'of', 'the', 'form', 'monomial', 'leq', '1', 'each', 'list', 'characterizing', 'the', 'phylogenetically', 'relevant', 'semialgebraic', 'subsets', 'of', 'the', 'phylogenetic', 'varieties']] | [-0.1782200148767228, 0.11646831679506478, -0.028150142998331122, 0.0842460821680888, -0.13228521482169367, -0.14729233257770702, 0.06324059564255352, 0.31588467595859143, -0.314661069122301, -0.2200941991208023, 0.09239614264405066, -0.26936532911022154, -0.14597667217777485, 0.1524781281460752, -0.07839787482523648, 0.05565113163306732, 0.071022275791705, 0.06723263390275122, -0.1020792849220292, -0.28027730998011274, 0.35259789859805235, -0.0197743859948122, 0.21805086441893587, -0.0020524957789140835, 0.1114965398899383, -0.0033300006326440483, -0.06895775856839613, 0.004873369631496372, -0.16545967666833247, 0.16115929637913054, 0.3110550766424128, 0.2253321542769496, 0.2282216244034077, -0.3796922336958828, -0.12465224044032569, 0.18588946393707342, 0.12122328331209284, 0.08048483478831268, 0.03530719265891838, -0.2551741977930287, 0.07006581478114975, -0.1187256009818997, -0.12616990292063582, -0.08409938607528283, 0.02695849482501089, 0.03086015341152595, -0.2741625196040385, 0.05523196087703545, 0.09086081423736804, 0.0736920175847886, -0.07132195563760875, -0.1655330810388169, -0.02557878434107971, 0.0424111044464622, -0.009466961283530844, 0.013988763919067487, 0.05388933346383491, -0.0568357799338362, -0.1446729202142764, 0.3258076681652003, -0.02223640040369236, -0.2814668345214712, 0.11178228191143631, -0.15338761564575637, -0.23018699721024746, 0.08655440116747778, 0.13245289574502506, 0.1015344970527361, -0.17780716889551487, 0.1256448614781832, -0.07757567650535041, 0.10567026220980966, 0.12668083043297895, 0.05547408082070406, 0.18226221816788551, 0.06396645782460943, 0.08292309481007924, 0.13511576843366288, 0.006011886884354883, -0.035076427412333716, -0.33405495295573395, -0.1300262810651496, -0.18211379777626488, 0.04895400753040861, -0.1778746792503322, -0.19312345843261097, 0.41711421347664374, 0.07958773897238462, 0.19006654576872262, 0.12953002298011157, 0.2417291865700431, 0.09559050278967228, 0.06976917488173696, 0.04650364573499459, 0.13281389019773368, 0.18939696685601656, 0.03579695764874593, -0.13926541951501317, 0.081720246116451, 0.13646027769849836] |
711.3493 | Graphs with many copies of a given subgraph | We show that if a graph G of order n contains many copies of a given subgraph
H, then it contains a blow-up of H of order log n.
| math.CO | we show that if a graph g of order n contains many copies of a given subgraph h then it contains a blowup of h of order log n | [['we', 'show', 'that', 'if', 'a', 'graph', 'g', 'of', 'order', 'n', 'contains', 'many', 'copies', 'of', 'a', 'given', 'subgraph', 'h', 'then', 'it', 'contains', 'a', 'blowup', 'of', 'h', 'of', 'order', 'log', 'n']] | [-0.21991749583133335, 0.1092753561719417, -0.040557848739212955, -0.044840413434752105, -0.06502811501509156, -0.12686241342654003, 0.04754741785341296, 0.3553954989745699, -0.23841170892761698, -0.3231458656554078, 0.07995976351908055, -0.37808749799070684, -0.12664397826803656, 0.07386966492852261, -0.05877513711437069, -0.03059595044509604, 0.12023716978728771, 0.23705844529743852, 0.06429043913998737, -0.35536249584602675, 0.27679190013943045, -0.16374461365670995, 0.06377072324815752, 0.007121799754556911, 0.13039685321714858, 0.0014156808691291973, -0.01314668652826342, 0.10430930169491932, -0.20552490475905683, 0.049207140787922106, 0.2591102867033975, 0.18336157153906493, 0.2755807199483288, -0.31721499420959376, -0.15215740776781378, 0.2638707327945479, 0.1542514726712272, 0.027183078614802195, 0.0079399183520983, -0.15611713016726847, 0.16214557888050532, -0.12231081390175326, -0.05394142418939235, -0.012588203981004912, 0.18160523910974635, -0.03029943055248466, -0.3551650687024511, -0.040426397262590716, 0.1300277242372776, 0.0019932665765799327, 0.14768391590693902, -0.10642063665878156, -0.11505647466100495, 0.0674704803185987, -0.05539907560009381, 0.10339044565174343, 0.025405497370480465, -0.12394022393835194, -0.06987849900755903, 0.41538523818398343, -0.12297005608581521, -0.08340485702300894, 0.09240499109928978, -0.1790288995052206, -0.22133950105515018, 0.15951059116371746, 0.07004875551652291, 0.1913297930090078, -0.009806285194795707, 0.24566664639860392, -0.1391942749634899, 0.22264684613087568, 0.13220616866802348, -0.003438442800964775, 0.025584565925187076, 0.15018094693117873, 0.19343971138105504, 0.1603500636230255, -0.004580326635262062, 0.11761150300374319, -0.4453492213425965, -0.18087852193877615, -0.2511157723593301, 0.17202454079584828, -0.17466900404542685, -0.22313324863026882, 0.38253693886358164, 0.08395166996994922, 0.2716342918895956, 0.03013998212228561, 0.1780856192625802, 0.06359870083116252, 0.015689149290194798, 0.22531682869483685, -0.02300957518886646, 0.1652954363360487, -0.1132937969061835, -0.1561784702995471, 0.003832186098563774, 0.16904761308226093] |
711.3494 | Dynamical Zodiacal Cloud Models Constrained by High Resolution
Spectroscopy of the Zodiacal Light (Icarus, in press) | The simulated Doppler shifts of the solar Mg I Fraunhofer line produced by
scattering on the solar light by asteroidal, cometary, and trans-Neptunian dust
particles are compared with the shifts obtained by Wisconsin H-Alpha Mapper
(WHAM) spectrometer. The simulated spectra are based on the results of
integrations of the orbital evolution of particles. The deviation of the
derived spectral parameters for various sources of dust used in the model
reached maximum at the elongation (measured eastward from the Sun) between 90
deg and 120 deg. For the future zodiacal light Doppler shifts measurements, it
is important to pay a particular attention to observing at this elongation
range. At the elongations of the fields observed by WHAM, the model-predicted
Doppler shifts were close to each other for several scattering functions
considered. Therefore the main conclusions of our paper don't depend on a
scattering function and mass distribution of particles if they are reasonable.
A comparison of the dependencies of the Doppler shifts on solar elongation and
the mean width of the Mg I line modeled for different sources of dust with
those obtained from the WHAM observations shows that the fraction of cometary
particles in zodiacal dust is significant and can be dominant. Cometary
particles originating inside Jupiter's orbit and particles originating beyond
Jupiter's orbit (including trans-Neptunian dust particles) can contribute to
zodiacal dust about 1/3 each, with a possible deviation from 1/3 up to 0.1-0.2.
The fraction of asteroidal dust is estimated to be about 0.3-0.5. The mean
eccentricities of zodiacal particles located at 1-2 AU from the Sun that better
fit the WHAM observations are between 0.2 and 0.5, with a more probable value
of about 0.3.
| astro-ph | the simulated doppler shifts of the solar mg i fraunhofer line produced by scattering on the solar light by asteroidal cometary and transneptunian dust particles are compared with the shifts obtained by wisconsin halpha mapper wham spectrometer the simulated spectra are based on the results of integrations of the orbital evolution of particles the deviation of the derived spectral parameters for various sources of dust used in the model reached maximum at the elongation measured eastward from the sun between 90 deg and 120 deg for the future zodiacal light doppler shifts measurements it is important to pay a particular attention to observing at this elongation range at the elongations of the fields observed by wham the modelpredicted doppler shifts were close to each other for several scattering functions considered therefore the main conclusions of our paper dont depend on a scattering function and mass distribution of particles if they are reasonable a comparison of the dependencies of the doppler shifts on solar elongation and the mean width of the mg i line modeled for different sources of dust with those obtained from the wham observations shows that the fraction of cometary particles in zodiacal dust is significant and can be dominant cometary particles originating inside jupiters orbit and particles originating beyond jupiters orbit including transneptunian dust particles can contribute to zodiacal dust about 13 each with a possible deviation from 13 up to 0102 the fraction of asteroidal dust is estimated to be about 0305 the mean eccentricities of zodiacal particles located at 12 au from the sun that better fit the wham observations are between 02 and 05 with a more probable value of about 03 | [['the', 'simulated', 'doppler', 'shifts', 'of', 'the', 'solar', 'mg', 'i', 'fraunhofer', 'line', 'produced', 'by', 'scattering', 'on', 'the', 'solar', 'light', 'by', 'asteroidal', 'cometary', 'and', 'transneptunian', 'dust', 'particles', 'are', 'compared', 'with', 'the', 'shifts', 'obtained', 'by', 'wisconsin', 'halpha', 'mapper', 'wham', 'spectrometer', 'the', 'simulated', 'spectra', 'are', 'based', 'on', 'the', 'results', 'of', 'integrations', 'of', 'the', 'orbital', 'evolution', 'of', 'particles', 'the', 'deviation', 'of', 'the', 'derived', 'spectral', 'parameters', 'for', 'various', 'sources', 'of', 'dust', 'used', 'in', 'the', 'model', 'reached', 'maximum', 'at', 'the', 'elongation', 'measured', 'eastward', 'from', 'the', 'sun', 'between', '90', 'deg', 'and', '120', 'deg', 'for', 'the', 'future', 'zodiacal', 'light', 'doppler', 'shifts', 'measurements', 'it', 'is', 'important', 'to', 'pay', 'a', 'particular', 'attention', 'to', 'observing', 'at', 'this', 'elongation', 'range', 'at', 'the', 'elongations', 'of', 'the', 'fields', 'observed', 'by', 'wham', 'the', 'modelpredicted', 'doppler', 'shifts', 'were', 'close', 'to', 'each', 'other', 'for', 'several', 'scattering', 'functions', 'considered', 'therefore', 'the', 'main', 'conclusions', 'of', 'our', 'paper', 'dont', 'depend', 'on', 'a', 'scattering', 'function', 'and', 'mass', 'distribution', 'of', 'particles', 'if', 'they', 'are', 'reasonable', 'a', 'comparison', 'of', 'the', 'dependencies', 'of', 'the', 'doppler', 'shifts', 'on', 'solar', 'elongation', 'and', 'the', 'mean', 'width', 'of', 'the', 'mg', 'i', 'line', 'modeled', 'for', 'different', 'sources', 'of', 'dust', 'with', 'those', 'obtained', 'from', 'the', 'wham', 'observations', 'shows', 'that', 'the', 'fraction', 'of', 'cometary', 'particles', 'in', 'zodiacal', 'dust', 'is', 'significant', 'and', 'can', 'be', 'dominant', 'cometary', 'particles', 'originating', 'inside', 'jupiters', 'orbit', 'and', 'particles', 'originating', 'beyond', 'jupiters', 'orbit', 'including', 'transneptunian', 'dust', 'particles', 'can', 'contribute', 'to', 'zodiacal', 'dust', 'about', '13', 'each', 'with', 'a', 'possible', 'deviation', 'from', '13', 'up', 'to', '0102', 'the', 'fraction', 'of', 'asteroidal', 'dust', 'is', 'estimated', 'to', 'be', 'about', '0305', 'the', 'mean', 'eccentricities', 'of', 'zodiacal', 'particles', 'located', 'at', '12', 'au', 'from', 'the', 'sun', 'that', 'better', 'fit', 'the', 'wham', 'observations', 'are', 'between', '02', 'and', '05', 'with', 'a', 'more', 'probable', 'value', 'of', 'about', '03']] | [-0.03695430580933625, 0.19346933559306878, -0.05695818250476661, 0.08331566956815505, -0.01856124742633308, -0.05715783286451114, 0.024485682053139713, 0.40091275453245895, -0.19511846839215793, -0.3677220456151412, 0.04539573790837186, -0.32675733627343595, -0.02969352363628878, 0.20401768822460803, -0.05503488991664146, 0.0003917539297944779, 0.09400406965366967, -0.04507487592381164, -0.025575314551925205, -0.1977114572609346, 0.24732030637850383, 0.107824973499054, 0.1277350713984652, 0.02084832343108711, 0.07309107870582103, -0.03647642922416001, -0.05933355399836257, -0.013111496625615539, -0.13754093855980193, 0.11125436949999266, 0.15871526196970864, 0.10373641181361976, 0.1450094064888578, -0.3500208496585113, -0.2081751317847788, 0.06230882776854225, 0.15537699902130345, 0.02827805949194129, 0.0005423955343686306, -0.2940015707419609, 0.05335255615181196, -0.11747300520743639, -0.18469581209967356, 0.09870555206778185, 0.060859816704990626, 0.048454778993388355, -0.25717863283059794, 0.07697149191789578, 0.0219954530046432, 0.1403896941655992, -0.10776199803104718, -0.1849051321414467, -0.08362885122313064, 0.09509709633203398, 0.0577634038236545, 0.029852488696266957, 0.22759223648132557, -0.06796602987794863, -0.028106289605857978, 0.4418315448289027, -0.11273622634592835, -0.06426757948285491, 0.17535865651242596, -0.25133521189886354, -0.11327799417835613, 0.2444164773211446, 0.176918178149365, 0.08254924265976842, -0.13355362289685677, -0.007110474677882056, -0.04073105367208771, 0.18674904885601332, 0.10521042743268952, 0.03636990231629327, 0.312003837667218, 0.07546251914472313, 0.018123166535548837, 0.07630716140106447, -0.2680642332633783, -0.07456406861691897, -0.2510994831703121, -0.0831473155948836, -0.14219042667264803, 0.04536349772351707, -0.15045984682302274, -0.09351800104038682, 0.3388864492675919, 0.16057658451274306, 0.2366091439654555, 0.04332363309268337, 0.30385627162059864, 0.07474235408661364, 0.08554498048703582, 0.09666659562386197, 0.3439145265783605, 0.16048586733887146, 0.12541709314586205, -0.22156440151315987, 0.08736712270727877, -0.024001650421766284] |
711.3495 | Globally Anisotropic High Porosity Silica Aerogels | We discuss two methods by which high porosity silica aerogels can be
engineered to exhibit global anisotropy. First, anisotropy can be introduced
with axial strain. In addition, intrinsic anisotropy can result during growth
and drying stages and, suitably controlled, it can be correlated with
preferential radial shrinkage in cylindrical samples. We have performed small
angle X-ray scattering (SAXS) to characterize these two types of anisotropy. We
show that global anisotropy originating from either strain or shrinkage leads
to optical birefringence and that optical cross-polarization studies are a
useful characterization of the uniformity of the imposed global anisotropy.
| cond-mat.other | we discuss two methods by which high porosity silica aerogels can be engineered to exhibit global anisotropy first anisotropy can be introduced with axial strain in addition intrinsic anisotropy can result during growth and drying stages and suitably controlled it can be correlated with preferential radial shrinkage in cylindrical samples we have performed small angle xray scattering saxs to characterize these two types of anisotropy we show that global anisotropy originating from either strain or shrinkage leads to optical birefringence and that optical crosspolarization studies are a useful characterization of the uniformity of the imposed global anisotropy | [['we', 'discuss', 'two', 'methods', 'by', 'which', 'high', 'porosity', 'silica', 'aerogels', 'can', 'be', 'engineered', 'to', 'exhibit', 'global', 'anisotropy', 'first', 'anisotropy', 'can', 'be', 'introduced', 'with', 'axial', 'strain', 'in', 'addition', 'intrinsic', 'anisotropy', 'can', 'result', 'during', 'growth', 'and', 'drying', 'stages', 'and', 'suitably', 'controlled', 'it', 'can', 'be', 'correlated', 'with', 'preferential', 'radial', 'shrinkage', 'in', 'cylindrical', 'samples', 'we', 'have', 'performed', 'small', 'angle', 'xray', 'scattering', 'saxs', 'to', 'characterize', 'these', 'two', 'types', 'of', 'anisotropy', 'we', 'show', 'that', 'global', 'anisotropy', 'originating', 'from', 'either', 'strain', 'or', 'shrinkage', 'leads', 'to', 'optical', 'birefringence', 'and', 'that', 'optical', 'crosspolarization', 'studies', 'are', 'a', 'useful', 'characterization', 'of', 'the', 'uniformity', 'of', 'the', 'imposed', 'global', 'anisotropy']] | [-0.09575090381633683, 0.2217271104743032, -0.0902733973505878, -0.008828350912885183, -0.07250963390526391, -0.11485043373054911, -0.04910601996312628, 0.5062354744661638, -0.321442934598044, -0.32792561712492374, 0.09150894098799944, -0.24504997153987282, -0.13476213284038469, 0.17799667083087004, -0.008686416302375571, 0.046334620939625294, 0.012336598690023128, -0.12544772881515248, -0.07381188681771614, -0.2233705608913502, 0.26643879381104457, 0.050099013550879104, 0.337075296799009, 0.05557397532171195, 0.04431411929815028, 0.01932101279074691, 0.012483233715570773, 0.12741190665545538, -0.17456126039845932, 0.1009083604440093, 0.2158987957734576, -0.018260121278311173, 0.17472099669796137, -0.4472767644629036, -0.21310407752843247, 0.09292592352901864, 0.1457496588814466, 0.13870189318159767, -0.05794923138305468, -0.22713601683295265, 0.06193056693530135, -0.10366180324542922, -0.16114241437333607, -0.14140661094894574, -0.06323546970493554, 0.06855882598944105, -0.3010039964460374, 0.12856297725907614, 0.05908847919883706, 0.08637125649220627, -0.09811878518307025, -0.08769586734166465, -0.0901305416416492, 0.051543928944438544, 0.09850168888476322, -0.005176665626235844, 0.19199312630003876, -0.07441582756126587, -0.06741268198322697, 0.33644418644997265, -0.06669150100848109, -0.15738633498261423, 0.17403754969271495, -0.1858262470443301, -0.09029640095097195, 0.1630513997383646, 0.22689277053205775, 0.04221049011156885, -0.1361949651108421, -0.005901214726072419, 0.01910168662206414, 0.1955032703303492, 0.14604631358680806, 0.011913619753088533, 0.2228728330108462, 0.16024300899265392, 0.042927478024851265, 0.16104695808320046, -0.14983498379192076, 0.053800181159269565, -0.2179361935032858, -0.10326566667171176, -0.17655799739043584, 0.07174478154437444, -0.17141014843001198, -0.15060610174844713, 0.35090574840582983, 0.10530367625166767, 0.18720869178470878, -0.05355205854938663, 0.24337279089227243, 0.06358528421404436, 0.1045275024959299, -0.006448997563884123, 0.3503292944743154, 0.12083568976299126, 0.08780354341808899, -0.24562261943206115, 0.13262303065047742, -0.003811560244750731] |
711.3496 | Van der Waerden/Schrijver-Valiant like Conjectures and Stable (aka
Hyperbolic) Homogeneous Polynomials : One Theorem for all | Let $p$ be a homogeneous polynomial of degree $n$ in $n$ variables,
$p(z_1,...,z_n) = p(Z)$, $Z \in C^{n}$. We call such a polynomial $p$ {\bf
H-Stable} if $p(z_1,...,z_n) \neq 0$ provided the real parts $Re(z_i) > 0, 1
\leq i \leq n$. This notion from {\it Control Theory} is closely related to the
notion of {\it Hyperbolicity} used intensively in the {\it PDE} theory.
The main theorem in this paper states that if $p(x_1,...,x_n)$ is a
homogeneous {\bf H-Stable} polynomial of degree $n$ with nonnegative
coefficients; $deg_{p}(i)$ is the maximum degree of the variable $x_i$, $C_i =
\min(deg_{p}(i),i)$ and $$ Cap(p) = \inf_{x_i > 0, 1 \leq i \leq n}
\frac{p(x_1,...,x_n)}{x_1 ... x_n} $$ then the following inequality holds $$
\frac{\partial^n}{\partial x_1... \partial x_n} p(0,...,0) \geq Cap(p) \prod_{2
\leq i \leq n} (\frac{C_i -1}{C_i})^{C_{i}-1}. $$
This inequality is a vast (and unifying) generalization of the Van der
Waerden conjecture on the permanents of doubly stochastic matrices as well as
the Schrijver-Valiant conjecture on the number of perfect matchings in
$k$-regular bipartite graphs. These two famous results correspond to the {\bf
H-Stable} polynomials which are products of linear forms.
Our proof is relatively simple and ``noncomputational''; it uses just very
basic properties of complex numbers and the AM/GM inequality.
| math.CO math.AG | let p be a homogeneous polynomial of degree n in n variables pz_1z_n pz z in cn we call such a polynomial p bf hstable if pz_1z_n neq 0 provided the real parts rez_i 0 1 leq i leq n this notion from it control theory is closely related to the notion of it hyperbolicity used intensively in the it pde theory the main theorem in this paper states that if px_1x_n is a homogeneous bf hstable polynomial of degree n with nonnegative coefficients deg_pi is the maximum degree of the variable x_i c_i mindeg_pii and capp inf_x_i 0 1 leq i leq n fracpx_1x_nx_1 x_n then the following inequality holds fracpartialnpartial x_1 partial x_n p00 geq capp prod_2 leq i leq n fracc_i 1c_ic_i1 this inequality is a vast and unifying generalization of the van der waerden conjecture on the permanents of doubly stochastic matrices as well as the schrijvervaliant conjecture on the number of perfect matchings in kregular bipartite graphs these two famous results correspond to the bf hstable polynomials which are products of linear forms our proof is relatively simple and noncomputational it uses just very basic properties of complex numbers and the amgm inequality | [['let', 'p', 'be', 'a', 'homogeneous', 'polynomial', 'of', 'degree', 'n', 'in', 'n', 'variables', 'pz_1z_n', 'pz', 'z', 'in', 'cn', 'we', 'call', 'such', 'a', 'polynomial', 'p', 'bf', 'hstable', 'if', 'pz_1z_n', 'neq', '0', 'provided', 'the', 'real', 'parts', 'rez_i', '0', '1', 'leq', 'i', 'leq', 'n', 'this', 'notion', 'from', 'it', 'control', 'theory', 'is', 'closely', 'related', 'to', 'the', 'notion', 'of', 'it', 'hyperbolicity', 'used', 'intensively', 'in', 'the', 'it', 'pde', 'theory', 'the', 'main', 'theorem', 'in', 'this', 'paper', 'states', 'that', 'if', 'px_1x_n', 'is', 'a', 'homogeneous', 'bf', 'hstable', 'polynomial', 'of', 'degree', 'n', 'with', 'nonnegative', 'coefficients', 'deg_pi', 'is', 'the', 'maximum', 'degree', 'of', 'the', 'variable', 'x_i', 'c_i', 'mindeg_pii', 'and', 'capp', 'inf_x_i', '0', '1', 'leq', 'i', 'leq', 'n', 'fracpx_1x_nx_1', 'x_n', 'then', 'the', 'following', 'inequality', 'holds', 'fracpartialnpartial', 'x_1', 'partial', 'x_n', 'p00', 'geq', 'capp', 'prod_2', 'leq', 'i', 'leq', 'n', 'fracc_i', '1c_ic_i1', 'this', 'inequality', 'is', 'a', 'vast', 'and', 'unifying', 'generalization', 'of', 'the', 'van', 'der', 'waerden', 'conjecture', 'on', 'the', 'permanents', 'of', 'doubly', 'stochastic', 'matrices', 'as', 'well', 'as', 'the', 'schrijvervaliant', 'conjecture', 'on', 'the', 'number', 'of', 'perfect', 'matchings', 'in', 'kregular', 'bipartite', 'graphs', 'these', 'two', 'famous', 'results', 'correspond', 'to', 'the', 'bf', 'hstable', 'polynomials', 'which', 'are', 'products', 'of', 'linear', 'forms', 'our', 'proof', 'is', 'relatively', 'simple', 'and', 'noncomputational', 'it', 'uses', 'just', 'very', 'basic', 'properties', 'of', 'complex', 'numbers', 'and', 'the', 'amgm', 'inequality']] | [-0.19642088094125035, 0.1423284894091979, -0.030470068655737488, 0.005555632811226936, -0.04131351645528363, -0.21962487904808273, -0.013919277873663873, 0.2920222570848646, -0.3299008983349989, -0.22388585530733937, 0.04378196508093939, -0.3112745202151398, -0.1526394296848959, 0.14260299466291648, -0.06904195301067183, -0.0005026715413406097, -0.014731477465598828, 0.05790903411371998, -0.023855074971579213, -0.3280755683444637, 0.28402476228783446, -0.09099664916062639, 0.1579091150939425, 0.032048507164868095, 0.09139748418053227, 0.03519124184641494, 0.03699927761283501, -0.02772264863196859, -0.2153904162331995, 0.07692805441249181, 0.2750203275717992, 0.17016541247044212, 0.2785549690237358, -0.3222344374473862, -0.07660201357532213, 0.2109984627274412, 0.1392568837124152, -0.02392360307636582, 0.04852373764367291, -0.21947250589629802, 0.14407467391716425, -0.11355187426647356, -0.18063048667289197, -0.02542775477869091, 0.12694162200820983, 0.05885448841939843, -0.330797713944718, 0.072325043882879, 0.1487313373064839, 0.08766888594416539, 0.03734803848737289, -0.21532380053645403, -0.028691936444451727, 0.011360637402585732, -0.03821576560758764, 0.07333989176041787, -0.007371712026984564, -0.06944011220654285, -0.07196360085745929, 0.3294572191086238, -0.01907156125387354, -0.21449237990454234, 0.0844550475536072, -0.1758306920257392, -0.221759023523037, 0.07260973490626803, 0.09726509629630499, 0.21165642196253415, -0.016353006676706687, 0.2141441520138412, -0.14967543160710386, 0.1476229148567038, 0.1347770624123908, 0.00541169997600336, 0.08272775969955892, 0.03138447265884785, 0.08529735225987024, 0.08723766720920269, 0.01751487455010493, -0.03676264646842524, -0.35954741871467344, -0.1837706998170467, -0.249947907033539, 0.2011925189474982, -0.1774035456543234, -0.13259110353128226, 0.2992244896093364, 0.059194952913833455, 0.17198287057517855, 0.10789245168073903, 0.18490162913507516, 0.08121383034626622, -0.027880431258824293, 0.09882118981380864, 0.09083304082403186, 0.2513303837231385, 0.03867104414557279, -0.11380789068061858, 0.053918513895638245, 0.1349108613505171] |
711.3497 | The energy of C4-free graphs of bounded degree | Answering some questions of Gutman, we show that, except for four specific
trees, every connected graph G of order n, with no cycle of order 4 and with
maximum degree at most 3, has energy greater that its order. Here, the energy
of a graph is the sum of the moduli of its eigenvalues. We give more general
theorems and state two conjectures.
| math.CO | answering some questions of gutman we show that except for four specific trees every connected graph g of order n with no cycle of order 4 and with maximum degree at most 3 has energy greater that its order here the energy of a graph is the sum of the moduli of its eigenvalues we give more general theorems and state two conjectures | [['answering', 'some', 'questions', 'of', 'gutman', 'we', 'show', 'that', 'except', 'for', 'four', 'specific', 'trees', 'every', 'connected', 'graph', 'g', 'of', 'order', 'n', 'with', 'no', 'cycle', 'of', 'order', '4', 'and', 'with', 'maximum', 'degree', 'at', 'most', '3', 'has', 'energy', 'greater', 'that', 'its', 'order', 'here', 'the', 'energy', 'of', 'a', 'graph', 'is', 'the', 'sum', 'of', 'the', 'moduli', 'of', 'its', 'eigenvalues', 'we', 'give', 'more', 'general', 'theorems', 'and', 'state', 'two', 'conjectures']] | [-0.18512769488965175, 0.1368623285495218, -0.04573573749364605, 0.02493311930632603, -0.05842072062844795, -0.1266359375006268, 0.04730754582920954, 0.3591729123441, -0.2177114406072106, -0.3320932775617592, 0.12869244735569707, -0.3251280010574394, -0.1379447158108214, 0.16136362609483065, -0.030738204887639436, -0.005031671589388261, 0.07427051483047387, 0.15534523744431752, -0.028832264348036714, -0.3211297445666296, 0.36359244279770386, -0.0297378911821556, 0.14409095471140942, 0.1294710880352391, 0.10007877615354364, 0.0025990604873864895, -0.0015777477935429603, 0.038630161730069966, -0.18054660417935034, 0.15358929624337525, 0.26197702360768166, 0.15375238615605566, 0.26914277484285687, -0.38991814132341895, -0.16025925466849927, 0.2216885057444285, 0.0744997714371291, 0.04130723247570651, 0.04427883624249796, -0.14187915334921508, 0.16898309092946528, -0.12924454858483161, -0.13576386752907957, -0.03271883800034485, 0.09174856411973162, -0.0044192795139101765, -0.21362752321043185, 0.026311337933062562, 0.12943475608093044, 0.055254047647828146, 0.003945880780173909, -0.1858349472620628, -0.068465993384875, 0.12106881537548607, 0.0018376500811427832, 0.046179508280363823, 0.004826904931438288, -0.14398246648765745, -0.18115463051649314, 0.3745864805292397, -0.0156651464168958, -0.13261387976152555, 0.15187744506531292, -0.17815679441841822, -0.17191881875670145, 0.10120772911856572, 0.08180759006017257, 0.1523955020284842, -0.05880955411564736, 0.09168741946470821, -0.07441000733524561, 0.15440442300741636, 0.1360321929234834, 0.015231919344625481, 0.11495618128942119, 0.15261423384164652, 0.14064440744677706, 0.11682735649602753, -0.046105727095097776, -0.0013321641876938798, -0.3142314542617117, -0.1543358529489192, -0.186595927129337, 0.08705429394271165, -0.20967399978609239, -0.1401465150365044, 0.46404013957177837, 0.10379141684097704, 0.18911875829484964, 0.10790211121950831, 0.21667002995927181, 0.11986697779317933, 0.001060789475025284, 0.15588914600777484, 0.14473070110987118, 0.1956158293085912, 0.013584429797317301, -0.13602905225245251, 0.020074332480333627, 0.09203755013674261] |
711.3498 | Connections between Kac-Moody algebras and M-theory | We investigate some of the motivations and consequences of the conjecture
that the Kac-Moody algebra E11 is the symmetry algebra of M-theory, and we
develop methods to aid the further investigation of this idea. The definitions
required to work with abstract root systems of Lie algebras are given in review
leading up to the definition of a Kac-Moody algebra. The motivations for the
E11 conjecture are presented and the nonlinear realisation of gravity relevant
to the conjecture is described. We give a beginner's guide to producing the
algebras of E11, relevant to M-theory, and K27, relevant to the bosonic string
theory, along with their l1 representations are constructed. Reference tables
of low level roots are produced for both the adjoint and l1 representations of
these algebras. In addition a particular group element, having a generic form
for all G+++ algebras, is shown to encode all the half-BPS brane solutions of
the maximally oxidised supergravities. Special analysis is given to the role of
space-time signature in the context of this group element and subsequent to
this analysis spacelike brane solutions are derived from the same solution
generating group element. Finally the appearance of U-duality charge multiplets
from E11 is reviewed. General formulae for finding the content of arbitrary
brane charge multiplets are given and the content of the particle and string
multiplets in dimensions 4,5,6,7 and 8 is shown to be contained in the l1
representation of E11.
| hep-th | we investigate some of the motivations and consequences of the conjecture that the kacmoody algebra e11 is the symmetry algebra of mtheory and we develop methods to aid the further investigation of this idea the definitions required to work with abstract root systems of lie algebras are given in review leading up to the definition of a kacmoody algebra the motivations for the e11 conjecture are presented and the nonlinear realisation of gravity relevant to the conjecture is described we give a beginners guide to producing the algebras of e11 relevant to mtheory and k27 relevant to the bosonic string theory along with their l1 representations are constructed reference tables of low level roots are produced for both the adjoint and l1 representations of these algebras in addition a particular group element having a generic form for all g algebras is shown to encode all the halfbps brane solutions of the maximally oxidised supergravities special analysis is given to the role of spacetime signature in the context of this group element and subsequent to this analysis spacelike brane solutions are derived from the same solution generating group element finally the appearance of uduality charge multiplets from e11 is reviewed general formulae for finding the content of arbitrary brane charge multiplets are given and the content of the particle and string multiplets in dimensions 4567 and 8 is shown to be contained in the l1 representation of e11 | [['we', 'investigate', 'some', 'of', 'the', 'motivations', 'and', 'consequences', 'of', 'the', 'conjecture', 'that', 'the', 'kacmoody', 'algebra', 'e11', 'is', 'the', 'symmetry', 'algebra', 'of', 'mtheory', 'and', 'we', 'develop', 'methods', 'to', 'aid', 'the', 'further', 'investigation', 'of', 'this', 'idea', 'the', 'definitions', 'required', 'to', 'work', 'with', 'abstract', 'root', 'systems', 'of', 'lie', 'algebras', 'are', 'given', 'in', 'review', 'leading', 'up', 'to', 'the', 'definition', 'of', 'a', 'kacmoody', 'algebra', 'the', 'motivations', 'for', 'the', 'e11', 'conjecture', 'are', 'presented', 'and', 'the', 'nonlinear', 'realisation', 'of', 'gravity', 'relevant', 'to', 'the', 'conjecture', 'is', 'described', 'we', 'give', 'a', 'beginners', 'guide', 'to', 'producing', 'the', 'algebras', 'of', 'e11', 'relevant', 'to', 'mtheory', 'and', 'k27', 'relevant', 'to', 'the', 'bosonic', 'string', 'theory', 'along', 'with', 'their', 'l1', 'representations', 'are', 'constructed', 'reference', 'tables', 'of', 'low', 'level', 'roots', 'are', 'produced', 'for', 'both', 'the', 'adjoint', 'and', 'l1', 'representations', 'of', 'these', 'algebras', 'in', 'addition', 'a', 'particular', 'group', 'element', 'having', 'a', 'generic', 'form', 'for', 'all', 'g', 'algebras', 'is', 'shown', 'to', 'encode', 'all', 'the', 'halfbps', 'brane', 'solutions', 'of', 'the', 'maximally', 'oxidised', 'supergravities', 'special', 'analysis', 'is', 'given', 'to', 'the', 'role', 'of', 'spacetime', 'signature', 'in', 'the', 'context', 'of', 'this', 'group', 'element', 'and', 'subsequent', 'to', 'this', 'analysis', 'spacelike', 'brane', 'solutions', 'are', 'derived', 'from', 'the', 'same', 'solution', 'generating', 'group', 'element', 'finally', 'the', 'appearance', 'of', 'uduality', 'charge', 'multiplets', 'from', 'e11', 'is', 'reviewed', 'general', 'formulae', 'for', 'finding', 'the', 'content', 'of', 'arbitrary', 'brane', 'charge', 'multiplets', 'are', 'given', 'and', 'the', 'content', 'of', 'the', 'particle', 'and', 'string', 'multiplets', 'in', 'dimensions', '4567', 'and', '8', 'is', 'shown', 'to', 'be', 'contained', 'in', 'the', 'l1', 'representation', 'of', 'e11']] | [-0.1395718741971402, 0.10511013261452813, -0.05595331901687604, 0.07880154383351107, -0.11889651985956898, -0.11750003381313968, -0.042510224463524225, 0.33063982682546234, -0.2442383417832166, -0.2642261481839959, 0.13418743229532057, -0.26528893531995673, -0.13491096150892382, 0.13089171106453576, -0.08761723298787726, -0.007179787568035751, 0.015130743464918705, 0.09996929278750491, -0.10094272950074717, -0.2638914654304505, 0.36541501684350114, 0.02508566341901253, 0.25693406488840714, 0.03660930035132836, 0.10114754765699244, -0.021810868736808403, -0.0532137793302143, -0.03905922829916206, -0.1149897035615647, 0.1839577620180976, 0.31145224530831417, 0.11142672391620392, 0.1569595281290134, -0.4182107268364998, -0.14478266471014495, 0.09548173507651951, 0.16441636990150632, 0.13617181850848759, -0.04853354073777984, -0.27237122231025546, 0.1127073685697551, -0.1696664002760341, -0.16665222626061568, -0.07250126790528418, 0.05195855552267739, -0.05132711934169385, -0.2306167109779039, 0.037215728496441045, 0.05563993140871397, 0.06728625118649931, -0.11995301083445487, -0.12173948204979881, -0.07476740740907657, 0.11113482831784756, 0.07176942147809683, 0.027459295922993458, 0.1006872547924998, -0.14379228023273816, -0.13839967753973942, 0.40097378531887434, -0.007837969532977192, -0.23066725917867845, 0.1366464060530821, -0.16534631592928892, -0.15980915933108658, 0.08227049616481795, 0.09637248514756513, 0.1279104980735898, -0.09866933815794278, 0.15463128328542072, -0.04721281435812199, 0.06896793588314143, 0.08577216451571083, 0.06094932588424439, 0.21109775322163282, 0.12082993149372281, 0.014170901395011112, 0.11524068480426296, 0.02497780370577101, -0.06323975541153412, -0.41091810520502586, -0.18453648716274193, -0.09597316699373666, 0.06113260647896992, -0.10397527216905915, -0.14402179353657268, 0.41199085809966307, 0.12593717159082493, 0.1672790453392022, 0.057561673323195506, 0.17459883329356365, 0.1126265276246999, 0.09438118422089561, 0.04200461764831525, 0.18078572361276657, 0.213681981618858, 0.032010816204357195, -0.1964810676462575, -0.08940964686204896, 0.18119660274121707] |
711.3499 | The unusual UV continuum of quasar Ton 34 and the possibility of
crystalline dust absorption | Luminous quasars are known to display a sharp steepening of the continuum
near 1100A. This spectral feature is not well fitted by current accretion disk
models, unless comptonization of the disk emission is invoked. Absorption by
carbon crystalline dust has been proposed to account for this feature. Ton 34
(z=1.928) exhibits the steepest far-UV decline (F_nu prop nu^{-5.3}) among the
183 quasar HST-FOS spectra analyzed by Telfer et al. It is an ideal object to
test the crystalline dust hypothesis as well as alternative interpretations of
the UV break. We reconstruct the UV spectral energy distribution of Ton 34 by
combining HST, IUE and Palomar spectra. The far-UV continuum shows a very deep
continuum trough, which is bounded by a steep far-UV rise. We fit the trough
assuming nanodiamond dust grains. Extinction by carbon crystalline dust
reproduces the deep absorption trough of Ton 34 reasonably well, but not the
observed steep rise in the extreme UV. We also study the possibility of an
intrinsic continuum rollover. The dust might be part of a high velocity outflow
(13000 km/s), which is observed in absorption in the lines of CIV, OVI, NV and
Ly_alpha.
| astro-ph | luminous quasars are known to display a sharp steepening of the continuum near 1100a this spectral feature is not well fitted by current accretion disk models unless comptonization of the disk emission is invoked absorption by carbon crystalline dust has been proposed to account for this feature ton 34 z1928 exhibits the steepest faruv decline f_nu prop nu53 among the 183 quasar hstfos spectra analyzed by telfer et al it is an ideal object to test the crystalline dust hypothesis as well as alternative interpretations of the uv break we reconstruct the uv spectral energy distribution of ton 34 by combining hst iue and palomar spectra the faruv continuum shows a very deep continuum trough which is bounded by a steep faruv rise we fit the trough assuming nanodiamond dust grains extinction by carbon crystalline dust reproduces the deep absorption trough of ton 34 reasonably well but not the observed steep rise in the extreme uv we also study the possibility of an intrinsic continuum rollover the dust might be part of a high velocity outflow 13000 kms which is observed in absorption in the lines of civ ovi nv and ly_alpha | [['luminous', 'quasars', 'are', 'known', 'to', 'display', 'a', 'sharp', 'steepening', 'of', 'the', 'continuum', 'near', '1100a', 'this', 'spectral', 'feature', 'is', 'not', 'well', 'fitted', 'by', 'current', 'accretion', 'disk', 'models', 'unless', 'comptonization', 'of', 'the', 'disk', 'emission', 'is', 'invoked', 'absorption', 'by', 'carbon', 'crystalline', 'dust', 'has', 'been', 'proposed', 'to', 'account', 'for', 'this', 'feature', 'ton', '34', 'z1928', 'exhibits', 'the', 'steepest', 'faruv', 'decline', 'f_nu', 'prop', 'nu53', 'among', 'the', '183', 'quasar', 'hstfos', 'spectra', 'analyzed', 'by', 'telfer', 'et', 'al', 'it', 'is', 'an', 'ideal', 'object', 'to', 'test', 'the', 'crystalline', 'dust', 'hypothesis', 'as', 'well', 'as', 'alternative', 'interpretations', 'of', 'the', 'uv', 'break', 'we', 'reconstruct', 'the', 'uv', 'spectral', 'energy', 'distribution', 'of', 'ton', '34', 'by', 'combining', 'hst', 'iue', 'and', 'palomar', 'spectra', 'the', 'faruv', 'continuum', 'shows', 'a', 'very', 'deep', 'continuum', 'trough', 'which', 'is', 'bounded', 'by', 'a', 'steep', 'faruv', 'rise', 'we', 'fit', 'the', 'trough', 'assuming', 'nanodiamond', 'dust', 'grains', 'extinction', 'by', 'carbon', 'crystalline', 'dust', 'reproduces', 'the', 'deep', 'absorption', 'trough', 'of', 'ton', '34', 'reasonably', 'well', 'but', 'not', 'the', 'observed', 'steep', 'rise', 'in', 'the', 'extreme', 'uv', 'we', 'also', 'study', 'the', 'possibility', 'of', 'an', 'intrinsic', 'continuum', 'rollover', 'the', 'dust', 'might', 'be', 'part', 'of', 'a', 'high', 'velocity', 'outflow', '13000', 'kms', 'which', 'is', 'observed', 'in', 'absorption', 'in', 'the', 'lines', 'of', 'civ', 'ovi', 'nv', 'and', 'ly_alpha']] | [0.02874374540018228, 0.07081435869031338, -0.07577616142467984, 0.09412797086406499, -0.06156320093456694, -0.13510466225852724, 0.002872298381892809, 0.48361302896713215, -0.17322940135666917, -0.3342180632801804, 0.027919631508363334, -0.30311263957022067, -0.020758348526821162, 0.14420644268600805, -0.0765183054058222, -0.001082634371414315, -0.01911105870931351, -0.1767755373051235, 0.03682916611433029, -0.21061451095010852, 0.24470608197164742, 0.08972208818371048, 0.19536929976554043, 0.02634610437083514, 0.058860127935380056, -0.1033966333210022, -0.07462150298306369, -0.005148298208951019, -0.1299796857953576, 0.05842555553438918, 0.22796571733209703, 0.09863253113265576, 0.18197497091750847, -0.3123093141463566, -0.2667817289135807, 0.079060129564823, 0.1852683678177224, 0.03754193702358558, 0.007494672870961949, -0.24538112480270988, 0.01814428904617671, -0.1594010656226601, -0.20687811948300805, 0.08022991073812591, 0.056134193682131205, -0.005784082971028208, -0.2178447996326819, 0.13970368313296908, 0.03814907074782544, 0.1178296607528561, -0.11925822941824056, -0.06449693251609763, -0.12938034011919322, -0.015472667784100244, 0.009557562965104202, 0.03425762117634198, 0.20435721998971226, -0.1410425811930812, -0.022657302615698427, 0.39637267340003746, -0.15786727727027028, 0.09174250115635611, 0.19522333351536267, -0.1776390839186206, -0.13680258229093548, 0.28641952723652747, 0.06655975223596518, 0.08207446747595289, -0.15118194696939705, 0.03948584849361699, -0.0923116258979159, 0.22387516161446305, 0.07262194210973878, 0.08220874256100312, 0.31075652654787217, 0.08820179553489045, 0.00262505478243232, 0.10177149823569683, -0.2292528943732274, 0.037279058607661376, -0.2698203671813341, -0.10233162581183326, -0.16640974631566982, 0.13860953284302013, -0.12382051475393989, -0.15517691147033474, 0.3328003544290065, 0.06434156092594397, 0.27406960262548336, 0.05431632507315953, 0.2898439075797796, 0.14563008722204054, 0.09101495041613816, 0.12932560941408155, 0.3267849098047009, 0.155329566320385, 0.14284895471125006, -0.22488648352494542, 0.05968583983303688, 0.01732337540086822] |
711.35 | Secure Fractal Image Coding | In recent work, various fractal image coding methods are reported, which
adopt the self-similarity of images to compress the size of images. However,
till now, no solutions for the security of fractal encoded images have been
provided. In this paper, a secure fractal image coding scheme is proposed and
evaluated, which encrypts some of the fractal parameters during fractal
encoding, and thus, produces the encrypted and encoded image. The encrypted
image can only be recovered by the correct key. To keep secure and efficient,
only the suitable parameters are selected and encrypted through in-vestigating
the properties of various fractal parameters, including parameter space,
parameter distribu-tion and parameter sensitivity. The encryption process does
not change the file format, keeps secure in perception, and costs little time
or computational resources. These properties make it suitable for secure image
encoding or transmission.
| cs.MM cs.CR | in recent work various fractal image coding methods are reported which adopt the selfsimilarity of images to compress the size of images however till now no solutions for the security of fractal encoded images have been provided in this paper a secure fractal image coding scheme is proposed and evaluated which encrypts some of the fractal parameters during fractal encoding and thus produces the encrypted and encoded image the encrypted image can only be recovered by the correct key to keep secure and efficient only the suitable parameters are selected and encrypted through investigating the properties of various fractal parameters including parameter space parameter distribution and parameter sensitivity the encryption process does not change the file format keeps secure in perception and costs little time or computational resources these properties make it suitable for secure image encoding or transmission | [['in', 'recent', 'work', 'various', 'fractal', 'image', 'coding', 'methods', 'are', 'reported', 'which', 'adopt', 'the', 'selfsimilarity', 'of', 'images', 'to', 'compress', 'the', 'size', 'of', 'images', 'however', 'till', 'now', 'no', 'solutions', 'for', 'the', 'security', 'of', 'fractal', 'encoded', 'images', 'have', 'been', 'provided', 'in', 'this', 'paper', 'a', 'secure', 'fractal', 'image', 'coding', 'scheme', 'is', 'proposed', 'and', 'evaluated', 'which', 'encrypts', 'some', 'of', 'the', 'fractal', 'parameters', 'during', 'fractal', 'encoding', 'and', 'thus', 'produces', 'the', 'encrypted', 'and', 'encoded', 'image', 'the', 'encrypted', 'image', 'can', 'only', 'be', 'recovered', 'by', 'the', 'correct', 'key', 'to', 'keep', 'secure', 'and', 'efficient', 'only', 'the', 'suitable', 'parameters', 'are', 'selected', 'and', 'encrypted', 'through', 'investigating', 'the', 'properties', 'of', 'various', 'fractal', 'parameters', 'including', 'parameter', 'space', 'parameter', 'distribution', 'and', 'parameter', 'sensitivity', 'the', 'encryption', 'process', 'does', 'not', 'change', 'the', 'file', 'format', 'keeps', 'secure', 'in', 'perception', 'and', 'costs', 'little', 'time', 'or', 'computational', 'resources', 'these', 'properties', 'make', 'it', 'suitable', 'for', 'secure', 'image', 'encoding', 'or', 'transmission']] | [-0.12461471470682581, 0.037646904256087625, -0.09960779463939315, 0.07994373094359014, -0.06317623908691805, -0.21084091907849523, 0.05651941573960881, 0.40848181991697213, -0.31936516612433163, -0.30756253749132156, 0.16131110321278114, -0.22417530690808948, -0.1232199865534044, 0.18292332809961154, -0.11803820400947718, 0.15158855131820595, 0.023706934615808854, 0.029760054026214445, -0.03724488041450759, -0.31264691891420043, 0.302150084328898, 0.08786471786225389, 0.3440760958792387, -0.0010747970215869037, 0.09362867955460126, 0.0007373093955701204, -0.11548436734584167, -0.03209623413703994, -0.09945487251116646, 0.11809607319996136, 0.27650041674538484, 0.20379973969944892, 0.22554861147144287, -0.4200802524875608, -0.24579317697571765, 0.07917651025035667, 0.17820398862935977, 0.09938870475413077, -0.08046781631986855, -0.28964397301327893, 0.1100110057138389, -0.1384562815207881, -0.04436479260635783, -0.1216277251515886, 0.03477440964976634, -0.0011723326215949312, -0.26150618518682583, 0.04105854944640891, 0.02599218343455753, 0.05260978657718775, -0.030463758120715296, -0.052931278341000886, -0.04064525118961984, 0.2046695179406473, -2.6842822126454586e-05, 0.0412182810594053, 0.16657370042806263, -0.15123367564343987, -0.07911216377418005, 0.3793181417871722, 0.043975578255871, -0.20707031717296126, 0.14160748938661363, -0.07763655318898692, -0.13702489451083133, 0.16047376023752868, 0.1615297775816092, 0.05366636307159667, -0.1607942920137974, 0.061478636408871266, -0.020710206402988315, 0.2714962931295435, 0.11981845347934382, 0.12138576883564724, 0.13187989502099992, 0.15204691997454536, -0.010511540316996708, 0.13391491440007558, -0.10564978356412846, -0.0950443981593917, -0.20145688850848045, -0.15836655875842134, -0.24193852386862816, -0.02476026409248262, -0.14535530117809817, -0.14981643718888435, 0.39206957130570097, 0.20215293305101906, 0.1992102025797852, 0.024775405831487594, 0.3768392213010531, 0.03252925744226618, 0.12298555469321315, 0.10616642387798257, 0.18847881830837612, 0.031507266800944435, 0.11772286379039823, -0.10286877888527853, 0.14928030276674403, 0.038996669974700686] |
711.3501 | Hyperon-Quark Mixed Phase in Compact Stars | We investigate the properties of the hadron-quark mixed phase in compact
stars using a Brueckner-Hartree-Fock framework for hadronic matter and the MIT
bag model for quark matter. We find that the equation of state of the mixed
phase is similar to that given by the Maxwell construction. The composition of
the mixed phase, however, is very different from that of the Maxwell
construction; in particular, hyperons are completely suppressed.
| nucl-th | we investigate the properties of the hadronquark mixed phase in compact stars using a bruecknerhartreefock framework for hadronic matter and the mit bag model for quark matter we find that the equation of state of the mixed phase is similar to that given by the maxwell construction the composition of the mixed phase however is very different from that of the maxwell construction in particular hyperons are completely suppressed | [['we', 'investigate', 'the', 'properties', 'of', 'the', 'hadronquark', 'mixed', 'phase', 'in', 'compact', 'stars', 'using', 'a', 'bruecknerhartreefock', 'framework', 'for', 'hadronic', 'matter', 'and', 'the', 'mit', 'bag', 'model', 'for', 'quark', 'matter', 'we', 'find', 'that', 'the', 'equation', 'of', 'state', 'of', 'the', 'mixed', 'phase', 'is', 'similar', 'to', 'that', 'given', 'by', 'the', 'maxwell', 'construction', 'the', 'composition', 'of', 'the', 'mixed', 'phase', 'however', 'is', 'very', 'different', 'from', 'that', 'of', 'the', 'maxwell', 'construction', 'in', 'particular', 'hyperons', 'are', 'completely', 'suppressed']] | [-0.07299139253471208, 0.24303736007245985, -0.15656568010108193, 0.08104469025494072, -0.07872618845515493, -0.05211627821478507, 0.025017243013649746, 0.3025257220302803, -0.21855804070398427, -0.27634634157183807, 0.051165075267435633, -0.23732619997167934, -0.09043439758428629, 0.11032015311639702, 0.011232144631229448, 0.01620820155232281, 0.030200401638243078, 0.062063511049347944, -0.15088294126916732, -0.20383689567392718, 0.4503808825317284, -0.027835917807575584, 0.22920152055018622, 0.037114411673468094, 0.05645460823037918, -0.045243558089208345, 0.013221414206360561, 0.008393120668504549, -0.10531021760381418, 0.017172060049800337, 0.22634423968797227, 0.07081845237192849, 0.13085094255233265, -0.4012604369714424, -0.23756939302573143, 0.11041651848379684, 0.04755980200201705, 0.13996634944139616, -0.08364085772115251, -0.311258247041184, 0.10438612540778906, -0.20619546837996747, -0.13163609290495515, -0.08840713041254143, -0.024251879854262737, -0.0046212206395558906, -0.25708807328634936, 0.09135513686055345, 0.04385326070157622, -0.043885779364601425, -0.1339981106136912, -0.19071349596091802, -0.03166477742564419, 0.055637129683695406, -0.00849542609733138, 0.04325552912347991, 0.07987588151371565, -0.2255538200851584, -0.02027592599472922, 0.43922673160399217, -0.10414289010931617, -0.14732829915980497, 0.17922048434021248, -0.16557318554597272, -0.14590068234373693, 0.1074196570282937, 0.15308869113484264, 0.14332169787688315, -0.17502037873086723, 0.09868054604748318, -0.05227079403087281, 0.1723895928673986, 0.03627375870322188, 0.020941148613296125, 0.23513555210556134, 0.2173123673596622, -0.028603931328794664, 0.1614163133410224, -0.06008841800913628, -0.15224444565862633, -0.34975776469092007, -0.15316462979155956, -0.17865954703934814, -0.04534314130095468, -0.09370335520129564, -0.19175072955102593, 0.37583906769050635, 0.11677826638670935, 0.12892237338035004, -0.010736354964150898, 0.25174011562721454, 0.0866154109944414, 0.01308350688845351, 0.08110220923992818, 0.2798241846452373, 0.19171968881594206, 0.13914094554881254, -0.29861787655998184, 0.030660272974089003, 0.07373557836357233] |
711.3502 | Efficient quantum direct communication with authentication | Two protocols of quantum direct communication with authentication [Phys. Rev.
A 73, 042305(2006)] were recently indicated to be insecure against the
authenticator Trent's attacks [Phys. Rev. A 75, 026301(2007)]. We present two
efficient protocols by using four Pauli operations, which are secure against
inner Trent's attacks as well as outer Eve's attacks. Finally, we generalize
them to multiparty quantum direction communication.
| quant-ph | two protocols of quantum direct communication with authentication phys rev a 73 0423052006 were recently indicated to be insecure against the authenticator trents attacks phys rev a 75 0263012007 we present two efficient protocols by using four pauli operations which are secure against inner trents attacks as well as outer eves attacks finally we generalize them to multiparty quantum direction communication | [['two', 'protocols', 'of', 'quantum', 'direct', 'communication', 'with', 'authentication', 'phys', 'rev', 'a', '73', '0423052006', 'were', 'recently', 'indicated', 'to', 'be', 'insecure', 'against', 'the', 'authenticator', 'trents', 'attacks', 'phys', 'rev', 'a', '75', '0263012007', 'we', 'present', 'two', 'efficient', 'protocols', 'by', 'using', 'four', 'pauli', 'operations', 'which', 'are', 'secure', 'against', 'inner', 'trents', 'attacks', 'as', 'well', 'as', 'outer', 'eves', 'attacks', 'finally', 'we', 'generalize', 'them', 'to', 'multiparty', 'quantum', 'direction', 'communication']] | [-0.23217496477951438, 0.0610581878651628, -0.004890890746136686, -0.04236898929575237, -0.03424569569780665, -0.308867209681736, 0.1594403133909139, 0.3457458234328966, -0.14231074636139102, -0.31053360466355995, 0.04810005612671375, -0.2581713190065476, -0.1826933918489238, 0.2536892132612608, -0.19384210610414965, 0.15405778339037957, -0.03446703928649047, -0.08459344435230655, -0.037203430277058636, -0.369752149902663, 0.19295463288771147, 0.08401474668012963, 0.28097324529504875, 0.04072448076538236, -0.01655537181265526, 0.06815323366988767, -0.02807336981739786, -0.04762036066060349, -0.13664910723692028, 0.00921726519620772, 0.31527711013410936, 0.17322119495878785, 0.26783741862213206, -0.41082578153207394, -0.21726227823202893, 0.05726653285387714, 0.08009513919794206, 0.21441588126778036, 0.0006818531901907112, -0.4600572068307359, 0.1179878764501694, -0.37547080452411863, -0.045645139973326504, -0.12781313245610917, 0.04862007701974678, -0.003352097409256434, -0.25607257727060023, 0.09850111354331849, -0.0017963570001992887, 0.08836873216649234, 0.10478777895381643, -0.013839888982316953, 0.02500210932487527, 0.0496298558536475, -0.06622528916193267, 0.004452926738156101, 0.2105004081770904, 0.036301310699022676, -0.26219007634100017, 0.299263927769863, 0.02107124045289958, -0.13328505769940252, 0.22448552701369687, 0.06653522361480331, -0.11616996919609986, 0.05008998435874611, 0.14664059965792348, 0.12039587776160847, -0.17812570408618045, 0.015118656182756363, -0.0817446666848609, 0.14714065377237434, 0.12954614460626143, 0.14428805784022403, 0.10597300876752805, 0.03473280287363519, 0.03185246066955881, 0.13693348127141028, -0.1177181630376608, -0.17542450065562754, -0.2461074183426671, -0.21852786243908992, -0.18521407420226074, 0.1004571242542085, 0.07385099624230337, -0.05360019001004807, 0.3184188095758022, 0.16511174807545997, 0.18412789584027003, 0.01589277555763532, 0.4091581437042204, -0.05282184554627007, 0.033684681059192804, 0.2868071095544403, 0.28469388578402793, 0.16912898824597566, 0.056824262443361646, -0.12753637876929874, 0.10691953159205742, 0.017877730446220454] |
711.3503 | Markov invariants, plethysms, and phylogenetics (the long version) | We explore model based techniques of phylogenetic tree inference exercising
Markov invariants. Markov invariants are group invariant polynomials and are
distinct from what is known in the literature as phylogenetic invariants,
although we establish a commonality in some special cases. We show that the
simplest Markov invariant forms the foundation of the Log-Det distance measure.
We take as our primary tool group representation theory, and show that it
provides a general framework for analysing Markov processes on trees. From this
algebraic perspective, the inherent symmetries of these processes become
apparent, and focusing on plethysms, we are able to define Markov invariants
and give existence proofs. We give an explicit technique for constructing the
invariants, valid for any number of character states and taxa. For phylogenetic
trees with three and four leaves, we demonstrate that the corresponding Markov
invariants can be fruitfully exploited in applied phylogenetic studies.
| q-bio.PE math-ph math.MP q-bio.QM | we explore model based techniques of phylogenetic tree inference exercising markov invariants markov invariants are group invariant polynomials and are distinct from what is known in the literature as phylogenetic invariants although we establish a commonality in some special cases we show that the simplest markov invariant forms the foundation of the logdet distance measure we take as our primary tool group representation theory and show that it provides a general framework for analysing markov processes on trees from this algebraic perspective the inherent symmetries of these processes become apparent and focusing on plethysms we are able to define markov invariants and give existence proofs we give an explicit technique for constructing the invariants valid for any number of character states and taxa for phylogenetic trees with three and four leaves we demonstrate that the corresponding markov invariants can be fruitfully exploited in applied phylogenetic studies | [['we', 'explore', 'model', 'based', 'techniques', 'of', 'phylogenetic', 'tree', 'inference', 'exercising', 'markov', 'invariants', 'markov', 'invariants', 'are', 'group', 'invariant', 'polynomials', 'and', 'are', 'distinct', 'from', 'what', 'is', 'known', 'in', 'the', 'literature', 'as', 'phylogenetic', 'invariants', 'although', 'we', 'establish', 'a', 'commonality', 'in', 'some', 'special', 'cases', 'we', 'show', 'that', 'the', 'simplest', 'markov', 'invariant', 'forms', 'the', 'foundation', 'of', 'the', 'logdet', 'distance', 'measure', 'we', 'take', 'as', 'our', 'primary', 'tool', 'group', 'representation', 'theory', 'and', 'show', 'that', 'it', 'provides', 'a', 'general', 'framework', 'for', 'analysing', 'markov', 'processes', 'on', 'trees', 'from', 'this', 'algebraic', 'perspective', 'the', 'inherent', 'symmetries', 'of', 'these', 'processes', 'become', 'apparent', 'and', 'focusing', 'on', 'plethysms', 'we', 'are', 'able', 'to', 'define', 'markov', 'invariants', 'and', 'give', 'existence', 'proofs', 'we', 'give', 'an', 'explicit', 'technique', 'for', 'constructing', 'the', 'invariants', 'valid', 'for', 'any', 'number', 'of', 'character', 'states', 'and', 'taxa', 'for', 'phylogenetic', 'trees', 'with', 'three', 'and', 'four', 'leaves', 'we', 'demonstrate', 'that', 'the', 'corresponding', 'markov', 'invariants', 'can', 'be', 'fruitfully', 'exploited', 'in', 'applied', 'phylogenetic', 'studies']] | [-0.11527356252110921, 0.11788653449343967, -0.12706794427733306, 0.1687908003629785, -0.10736721154535189, -0.1495981941905434, 0.04026917256961086, 0.3755374087007997, -0.3094571092108596, -0.2741567470924291, 0.11118333604209099, -0.23437836151314925, -0.20976628297748529, 0.20072998048271984, -0.0650686122611012, 0.04143146213545936, 0.07121659157564864, 0.03897607917833614, -0.058294197665655044, -0.223173592915784, 0.36410018803921773, -0.0009943839443260676, 0.25741381108225003, 0.0271618965126523, 0.135690746927787, 0.020292054322765093, -0.06363804060136517, 0.013813757604834356, -0.18307785784791994, 0.11857502416138256, 0.328808157258246, 0.1895249523828444, 0.16969249393051006, -0.39431423263956017, -0.19405061868756965, 0.1553904059301577, 0.1318637228934477, 0.15048427571070522, -0.005741166596760183, -0.29202698705692404, 0.08712500471012564, -0.14802857359539565, -0.09907603434810083, -0.1410747346538438, -0.017856919771213443, -0.0035007447831584652, -0.22028677157215673, 0.020613583512859395, 0.07464227325295748, 0.1149263516106732, -0.015833786187999663, -0.14802002068449527, -0.024117126721212617, 0.14746006415863458, 0.04327503474802417, -0.012838191617509886, 0.07492935524500702, -0.0522399438490887, -0.1997681334997489, 0.3179196427091446, -0.03529830549983946, -0.2525425415983653, 0.19718529629897427, -0.0872066173326122, -0.2852168020741274, 0.06378276737116609, 0.15250871625205834, 0.15194433281670183, -0.1468517347557904, 0.1171423485127839, -0.043902664954059645, 0.09223612709200546, 0.04672977140600704, 0.021391952260036966, 0.1835525615287511, 0.11380193538306765, 0.06574668745870689, 0.16395417912799407, -0.01413218388397706, -0.11497056320284123, -0.2677581918311037, -0.18414863703727774, -0.1143319623673188, 0.06554686291181572, -0.13124118372738164, -0.1957560661312652, 0.3774932481361272, 0.1732533186042605, 0.16990806874882888, 0.16642724430469208, 0.2161184859777839, 0.09527477340960926, 0.02892799025532241, 0.0801135565517853, 0.12105800766256249, 0.18464295558427293, -0.020303324139230465, -0.11003933447550293, 0.12440008359597614, 0.13984865674187671] |
711.3504 | Non-Uniform Structure of Matter and the Equation of State | We investigate the non-uniform structures and the equation of state (EOS) of
nuclear matter in the context of the first-order phase transitions (FOPT) such
as liquid-gas phase transition, kaon condensation, and hadron-quark phase
transition. During FOPT the mixed phases appear, where matter exhibits
non-uniform structures called ``Pasta'' structures due to the balance of the
Coulomb repulsion and the surface tension between two phases. We treat these
effects self-consistently, properly taking into account of the Poisson equation
and the Gibbs conditions. Consequently, they make the EOS of the mixed phase
closer to that of Maxwell construction due to the Debye screening. This is a
general feature of the mixed phase consisting of many species of charged
particles.
| nucl-th | we investigate the nonuniform structures and the equation of state eos of nuclear matter in the context of the firstorder phase transitions fopt such as liquidgas phase transition kaon condensation and hadronquark phase transition during fopt the mixed phases appear where matter exhibits nonuniform structures called pasta structures due to the balance of the coulomb repulsion and the surface tension between two phases we treat these effects selfconsistently properly taking into account of the poisson equation and the gibbs conditions consequently they make the eos of the mixed phase closer to that of maxwell construction due to the debye screening this is a general feature of the mixed phase consisting of many species of charged particles | [['we', 'investigate', 'the', 'nonuniform', 'structures', 'and', 'the', 'equation', 'of', 'state', 'eos', 'of', 'nuclear', 'matter', 'in', 'the', 'context', 'of', 'the', 'firstorder', 'phase', 'transitions', 'fopt', 'such', 'as', 'liquidgas', 'phase', 'transition', 'kaon', 'condensation', 'and', 'hadronquark', 'phase', 'transition', 'during', 'fopt', 'the', 'mixed', 'phases', 'appear', 'where', 'matter', 'exhibits', 'nonuniform', 'structures', 'called', 'pasta', 'structures', 'due', 'to', 'the', 'balance', 'of', 'the', 'coulomb', 'repulsion', 'and', 'the', 'surface', 'tension', 'between', 'two', 'phases', 'we', 'treat', 'these', 'effects', 'selfconsistently', 'properly', 'taking', 'into', 'account', 'of', 'the', 'poisson', 'equation', 'and', 'the', 'gibbs', 'conditions', 'consequently', 'they', 'make', 'the', 'eos', 'of', 'the', 'mixed', 'phase', 'closer', 'to', 'that', 'of', 'maxwell', 'construction', 'due', 'to', 'the', 'debye', 'screening', 'this', 'is', 'a', 'general', 'feature', 'of', 'the', 'mixed', 'phase', 'consisting', 'of', 'many', 'species', 'of', 'charged', 'particles']] | [-0.12029591844826616, 0.26651104778886353, -0.15002572519206925, 0.09521194992201595, -0.04006280975038957, -0.08576866288685464, 0.052071950759674454, 0.291505522544271, -0.2608251483581061, -0.29012583137152653, 0.031491071839840956, -0.25667719103411996, -0.10315837298423566, 0.03932858028063743, 0.047104668735269584, 0.007109792212602393, -0.01526917828295123, 0.00021832848995410162, -0.13512385835578056, -0.1703734289581791, 0.38124138721794787, -0.013223664220904225, 0.2749693194436359, 0.08094178050644053, 0.04878633222349514, -0.040074436170659186, 0.03268861317814424, 0.037412711595795275, -0.16033513794467708, -0.015525576512024191, 0.2352281810458878, 0.0031869848868970214, 0.1678507331726623, -0.46242018527620277, -0.25024295489656023, 0.14519225889897167, 0.07890894085746901, 0.1390323176947904, -0.04707812289867935, -0.3188814402573967, -0.012314060935750604, -0.1796969022513528, -0.1137072619347801, -0.07982229676643579, -0.013589997458721286, 0.017962130461016607, -0.2482827256096463, 0.1227435755808356, 0.06743583722834892, -0.049090264655111744, -0.12779025286275508, -0.14453724983593866, -0.0401953763944691, 0.0683582449323851, 0.028244797258782362, 0.005894685322659668, 0.12005931531793662, -0.18460890544570405, -0.010028982045257399, 0.46500759512378737, -0.009430024443708104, -0.124537781454976, 0.19498996479549155, -0.1442595254913362, -0.1228797587582135, 0.19148573993127152, 0.15901917676744454, 0.088722792642737, -0.10938806092800123, 0.07222290210835315, 0.055078914758331814, 0.15659961468893394, 0.06164540179226355, 0.013130695890767725, 0.24605602952491107, 0.17895482341630448, 0.01120828712662152, 0.17649933722287672, -0.0837770519609531, -0.2006132342242475, -0.30965775281897395, -0.16042989417172945, -0.13023145766206215, -0.04294870213348547, -0.10254078353544424, -0.25154240560268276, 0.36535497371369274, 0.10035826155267544, 0.17050114161021815, -0.05848803866558291, 0.26032833400953176, 0.08724859632613892, 0.017026267319532305, 0.022102582521319133, 0.24656677274996863, 0.20762405992517696, 0.11638469079505363, -0.30188223519683655, 0.041111348738295736, 0.10268044474550747] |
711.3505 | Towards a picosecond transform-limited nitrogen-vacancy based single
photon source | We analyze a nitrogen-vacancy (NV^-) colour centre based single photon source
based on cavity Purcell enhancement of the zero phonon line and suppression of
other transitions. Optimal performance conditions of the cavity-centre system
are analyzed using Master equation and quantum trajectory methods. By coupling
the centre strongly to a high-finesse optical cavity [Q ~ O(10^4-10^5), V ~
lambda^3] and using sub-picosecond optical excitation the system has striking
performance, including effective lifetime of 70 ps, linewidth of 0.01 nm, near
unit single photon emission probability and small [O(10^-5)] multi-photon
probability.
| quant-ph | we analyze a nitrogenvacancy nv colour centre based single photon source based on cavity purcell enhancement of the zero phonon line and suppression of other transitions optimal performance conditions of the cavitycentre system are analyzed using master equation and quantum trajectory methods by coupling the centre strongly to a highfinesse optical cavity q o104105 v lambda3 and using subpicosecond optical excitation the system has striking performance including effective lifetime of 70 ps linewidth of 001 nm near unit single photon emission probability and small o105 multiphoton probability | [['we', 'analyze', 'a', 'nitrogenvacancy', 'nv', 'colour', 'centre', 'based', 'single', 'photon', 'source', 'based', 'on', 'cavity', 'purcell', 'enhancement', 'of', 'the', 'zero', 'phonon', 'line', 'and', 'suppression', 'of', 'other', 'transitions', 'optimal', 'performance', 'conditions', 'of', 'the', 'cavitycentre', 'system', 'are', 'analyzed', 'using', 'master', 'equation', 'and', 'quantum', 'trajectory', 'methods', 'by', 'coupling', 'the', 'centre', 'strongly', 'to', 'a', 'highfinesse', 'optical', 'cavity', 'q', 'o104105', 'v', 'lambda3', 'and', 'using', 'subpicosecond', 'optical', 'excitation', 'the', 'system', 'has', 'striking', 'performance', 'including', 'effective', 'lifetime', 'of', '70', 'ps', 'linewidth', 'of', '001', 'nm', 'near', 'unit', 'single', 'photon', 'emission', 'probability', 'and', 'small', 'o105', 'multiphoton', 'probability']] | [-0.13059199789867681, 0.14604204940773985, -0.011927473643685089, -0.025554710572845685, 0.019942818245138317, -0.2208077749456553, 0.10190238888539813, 0.4923899019794429, -0.19234112736440317, -0.2827419580782161, -0.0032801501562490184, -0.3040732260793447, -0.010145969436887432, 0.21721992830143255, -0.00253251167562078, 0.09864948658163057, 0.07248421261251412, 0.012492988669477841, 0.003245457075536251, -0.14427254423636066, 0.2622983161907862, 0.053809586637105576, 0.36883996246820866, 0.08619246106485233, 0.1322825584341498, 0.005126617520171053, 0.08931207330349614, -0.063995121244122, -0.10849503448835629, 0.09318027961999178, 0.2025794997866101, 0.018044156592120143, 0.24699337090201237, -0.36035756467677216, -0.17229135730577744, 0.048821806042071654, 0.17879374093386372, 0.1364254443824072, -0.047438559611327945, -0.3032457108992864, 0.02015173243742217, -0.1357602567247608, -0.12647011286359938, 0.007068022669238202, 0.029578953849918703, 0.011667590202106273, -0.24747297573177254, 0.08446893013623434, -0.023157138586975635, 0.08852141571559888, -0.018783822305062238, -0.054393276175045795, -0.02712664742173408, 0.031190055060912582, -0.08878060638466302, 0.05313249579904711, 0.3022937417742522, -0.1034362101023469, -0.15409781860516353, 0.36224487247493337, -0.15063279617358658, -0.05332293420591775, 0.11650370887535459, -0.20666855936048223, 0.005343637674334733, 0.23336561590378338, 0.14255905500887073, 0.12436495937735718, -0.13227949690018945, 0.047659008065238595, 0.045319083167979606, 0.24646574390285156, 0.12121204881764511, 0.18359973613884958, 0.1898833498961347, 0.17012092507279972, -0.004455615328077008, 0.13800074818667354, -0.2009303486604682, -0.06837320207234691, -0.2518098315333619, -0.09094367405564031, -0.18079436298678903, 0.11289223829174742, -0.12281264072106056, -0.07982421529972378, 0.38717130837852465, 0.10024978679550045, 0.16438419623026515, -0.039059644438983764, 0.30419487194979894, 0.18102864592390902, 0.057143822356181984, 0.024356006414574735, 0.2880047376431963, 0.19699186031323146, 0.07298093885731172, -0.36838778748231776, -0.06836079560110674, -0.019055573406684047] |
711.3506 | Hyperon-Quark Mixed Phase in Dense Matter | We investigate the properties of the hadron-quark mixed phase in compact
stars using a Brueckner-Hartree-Fock framework for hadronic matter and the MIT
bag model for quark matter. We find that the equation of state of the mixed
phase is similar to that given by the Maxwell construction. The composition of
the mixed phase, however, is very different from that of the Maxwell
construction; in particular, hyperons are completely suppressed.
| nucl-th | we investigate the properties of the hadronquark mixed phase in compact stars using a bruecknerhartreefock framework for hadronic matter and the mit bag model for quark matter we find that the equation of state of the mixed phase is similar to that given by the maxwell construction the composition of the mixed phase however is very different from that of the maxwell construction in particular hyperons are completely suppressed | [['we', 'investigate', 'the', 'properties', 'of', 'the', 'hadronquark', 'mixed', 'phase', 'in', 'compact', 'stars', 'using', 'a', 'bruecknerhartreefock', 'framework', 'for', 'hadronic', 'matter', 'and', 'the', 'mit', 'bag', 'model', 'for', 'quark', 'matter', 'we', 'find', 'that', 'the', 'equation', 'of', 'state', 'of', 'the', 'mixed', 'phase', 'is', 'similar', 'to', 'that', 'given', 'by', 'the', 'maxwell', 'construction', 'the', 'composition', 'of', 'the', 'mixed', 'phase', 'however', 'is', 'very', 'different', 'from', 'that', 'of', 'the', 'maxwell', 'construction', 'in', 'particular', 'hyperons', 'are', 'completely', 'suppressed']] | [-0.07299139253471208, 0.24303736007245985, -0.15656568010108193, 0.08104469025494072, -0.07872618845515493, -0.05211627821478507, 0.025017243013649746, 0.3025257220302803, -0.21855804070398427, -0.27634634157183807, 0.051165075267435633, -0.23732619997167934, -0.09043439758428629, 0.11032015311639702, 0.011232144631229448, 0.01620820155232281, 0.030200401638243078, 0.062063511049347944, -0.15088294126916732, -0.20383689567392718, 0.4503808825317284, -0.027835917807575584, 0.22920152055018622, 0.037114411673468094, 0.05645460823037918, -0.045243558089208345, 0.013221414206360561, 0.008393120668504549, -0.10531021760381418, 0.017172060049800337, 0.22634423968797227, 0.07081845237192849, 0.13085094255233265, -0.4012604369714424, -0.23756939302573143, 0.11041651848379684, 0.04755980200201705, 0.13996634944139616, -0.08364085772115251, -0.311258247041184, 0.10438612540778906, -0.20619546837996747, -0.13163609290495515, -0.08840713041254143, -0.024251879854262737, -0.0046212206395558906, -0.25708807328634936, 0.09135513686055345, 0.04385326070157622, -0.043885779364601425, -0.1339981106136912, -0.19071349596091802, -0.03166477742564419, 0.055637129683695406, -0.00849542609733138, 0.04325552912347991, 0.07987588151371565, -0.2255538200851584, -0.02027592599472922, 0.43922673160399217, -0.10414289010931617, -0.14732829915980497, 0.17922048434021248, -0.16557318554597272, -0.14590068234373693, 0.1074196570282937, 0.15308869113484264, 0.14332169787688315, -0.17502037873086723, 0.09868054604748318, -0.05227079403087281, 0.1723895928673986, 0.03627375870322188, 0.020941148613296125, 0.23513555210556134, 0.2173123673596622, -0.028603931328794664, 0.1614163133410224, -0.06008841800913628, -0.15224444565862633, -0.34975776469092007, -0.15316462979155956, -0.17865954703934814, -0.04534314130095468, -0.09370335520129564, -0.19175072955102593, 0.37583906769050635, 0.11677826638670935, 0.12892237338035004, -0.010736354964150898, 0.25174011562721454, 0.0866154109944414, 0.01308350688845351, 0.08110220923992818, 0.2798241846452373, 0.19171968881594206, 0.13914094554881254, -0.29861787655998184, 0.030660272974089003, 0.07373557836357233] |
711.3507 | Monoenergetic proton beams accelerated by circularly polarized laser
with thin solid foils | The acceleration of ions in the interaction of circular polarized laser
pulses with overdense plasmas is investigated. For circular polarization laser
pulses, the quasi-equilibrium for electrons is established due to the light
pressure and the electrostatic field built up at the interacting front of the
laser pulse. The ions located within the skin-depth of the laser pulse can be
synchronously accelerated and bunched in the charge couple processes by the
electrostatic field, and thereby monoenergetic and high intensity proton beam
can be generated. The dynamics equations for accelerated ions are deduced and
proved by particle-in-cell simulations.
| physics.acc-ph physics.plasm-ph | the acceleration of ions in the interaction of circular polarized laser pulses with overdense plasmas is investigated for circular polarization laser pulses the quasiequilibrium for electrons is established due to the light pressure and the electrostatic field built up at the interacting front of the laser pulse the ions located within the skindepth of the laser pulse can be synchronously accelerated and bunched in the charge couple processes by the electrostatic field and thereby monoenergetic and high intensity proton beam can be generated the dynamics equations for accelerated ions are deduced and proved by particleincell simulations | [['the', 'acceleration', 'of', 'ions', 'in', 'the', 'interaction', 'of', 'circular', 'polarized', 'laser', 'pulses', 'with', 'overdense', 'plasmas', 'is', 'investigated', 'for', 'circular', 'polarization', 'laser', 'pulses', 'the', 'quasiequilibrium', 'for', 'electrons', 'is', 'established', 'due', 'to', 'the', 'light', 'pressure', 'and', 'the', 'electrostatic', 'field', 'built', 'up', 'at', 'the', 'interacting', 'front', 'of', 'the', 'laser', 'pulse', 'the', 'ions', 'located', 'within', 'the', 'skindepth', 'of', 'the', 'laser', 'pulse', 'can', 'be', 'synchronously', 'accelerated', 'and', 'bunched', 'in', 'the', 'charge', 'couple', 'processes', 'by', 'the', 'electrostatic', 'field', 'and', 'thereby', 'monoenergetic', 'and', 'high', 'intensity', 'proton', 'beam', 'can', 'be', 'generated', 'the', 'dynamics', 'equations', 'for', 'accelerated', 'ions', 'are', 'deduced', 'and', 'proved', 'by', 'particleincell', 'simulations']] | [-0.09466552448672398, 0.31105944876617286, -0.039354652932767444, 0.04516862334033552, 0.06245683897092628, -0.1334263801030223, -0.05202343287601252, 0.4699085141764954, -0.27357589843450114, -0.28253737850657973, -0.042893152283795644, -0.2648587051226059, 0.08331164775396853, 0.25030839967075735, 0.06996428131969878, 0.02597796230596335, 0.032388072636119127, -0.059483694140605316, 0.013873877556761727, -0.1405995821696706, 0.24642074771691114, 0.16629776999373766, 0.25705842279906693, 0.038173142403441794, 0.1539616879890673, 0.00013018506676113853, 0.057157822251610924, -0.0227696250367444, -0.055419673280994175, 0.06701218549278565, 0.20906411615881856, 0.0182269911650413, 0.2202015682172108, -0.5281404587828243, -0.2532501874084119, -0.0222348932584282, 0.16485738746026377, 0.13427759681508178, -0.12872451296425425, -0.30986966367345303, -0.0008373062931544458, -0.09722437360323966, -0.19898002934254086, 0.005904998989232506, 0.0017221658417838626, 0.19504459389524223, -0.2998893564411749, 0.02893666813179152, 0.03280163531599101, 0.02334114061280464, -0.061933613435030566, -0.010707855418634912, -0.03542121703018589, -0.009490989035839448, 0.057444156489509623, 0.10723574567722001, 0.2364287384552881, -0.10039545770026355, -0.07036109241501738, 0.3811696228804067, -0.08227784318296472, -0.09976505525022124, 0.14088166897029927, -0.24215261017282805, 0.025948067093850113, 0.2618656962683114, 0.14569058613172578, 0.13125315766956192, -0.13534290755342226, 0.04959378108893967, 0.03572782224121814, 0.16534019540025233, 0.20515442251295704, -0.006463760073529556, 0.265100787980676, 0.12541543333888208, 0.0005404248173969487, 0.139197706746927, -0.12269893923560933, -0.04383577538828831, -0.2453399281560754, -0.09305719399708323, -0.1478450488842403, 0.023837100796905968, -0.025624118831880576, -0.09088854317572743, 0.42865914319312043, 0.12565815699053928, 0.031013046541678097, -0.09345385384949623, 0.31538337015081197, 0.1687141596339643, 0.0003129210041758294, 0.07564040390328348, 0.3146444349573964, 0.20764372430373138, 0.11813256481157926, -0.28207705535654287, -0.0018903422508932028, 0.0043868989596376196] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.