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 |
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710.3753 | A very faint core-collapse supernova in M85 | An anomalous transient in the early Hubble-type (S0) galaxy Messier 85 (M85)
in the Virgo cluster was discovered by Kulkarni et al. (2007) on 7 January 2006
that had very low luminosity (peak absolute R-band magnitude MR of about -12)
that was constant over more than 80 days, red colour and narrow spectral lines,
which seem inconsistent with those observed in any known class of transient
events. Kulkarni et al. (2007) suggest an exotic stellar merger as the possible
origin. An alternative explanation is that the transient in M85 was a type
II-plateau supernova of extremely low luminosity, exploding in a lenticular
galaxy with residual star-forming activity. This intriguing transient might be
the faintest supernova that has ever been discovered.
| astro-ph | an anomalous transient in the early hubbletype s0 galaxy messier 85 m85 in the virgo cluster was discovered by kulkarni et al 2007 on 7 january 2006 that had very low luminosity peak absolute rband magnitude mr of about 12 that was constant over more than 80 days red colour and narrow spectral lines which seem inconsistent with those observed in any known class of transient events kulkarni et al 2007 suggest an exotic stellar merger as the possible origin an alternative explanation is that the transient in m85 was a type iiplateau supernova of extremely low luminosity exploding in a lenticular galaxy with residual starforming activity this intriguing transient might be the faintest supernova that has ever been discovered | [['an', 'anomalous', 'transient', 'in', 'the', 'early', 'hubbletype', 's0', 'galaxy', 'messier', '85', 'm85', 'in', 'the', 'virgo', 'cluster', 'was', 'discovered', 'by', 'kulkarni', 'et', 'al', '2007', 'on', '7', 'january', '2006', 'that', 'had', 'very', 'low', 'luminosity', 'peak', 'absolute', 'rband', 'magnitude', 'mr', 'of', 'about', '12', 'that', 'was', 'constant', 'over', 'more', 'than', '80', 'days', 'red', 'colour', 'and', 'narrow', 'spectral', 'lines', 'which', 'seem', 'inconsistent', 'with', 'those', 'observed', 'in', 'any', 'known', 'class', 'of', 'transient', 'events', 'kulkarni', 'et', 'al', '2007', 'suggest', 'an', 'exotic', 'stellar', 'merger', 'as', 'the', 'possible', 'origin', 'an', 'alternative', 'explanation', 'is', 'that', 'the', 'transient', 'in', 'm85', 'was', 'a', 'type', 'iiplateau', 'supernova', 'of', 'extremely', 'low', 'luminosity', 'exploding', 'in', 'a', 'lenticular', 'galaxy', 'with', 'residual', 'starforming', 'activity', 'this', 'intriguing', 'transient', 'might', 'be', 'the', 'faintest', 'supernova', 'that', 'has', 'ever', 'been', 'discovered']] | [-0.039939500960948254, 0.07990028515038526, -0.08539580372550214, 0.1366407959535233, -0.16152661408220106, -0.08849182205740362, 0.029536168642031648, 0.4261737024722, -0.0687783168987759, -0.4046747458012154, 0.08041449442874485, -0.3082655417228428, -0.1053027749604856, 0.20341248104341503, -0.11155343404971063, -0.05023397039137004, 0.07768962925862676, -0.08853299704690774, -0.0329587888365495, -0.35668550077825784, 0.19726550843333826, 0.1035151223341624, 0.1849248320252324, -0.09887310756215205, 0.055793005196998514, -0.08607089351086566, -0.08193294066004456, -0.04970653508013735, -0.13269996931703645, -0.04996820206094223, 0.2381255880689423, 0.11360434085557548, 0.21355213176769514, -0.31097013351682107, -0.20296549401343025, 0.11086255272675771, 0.19959953183618684, 0.02819268794361657, -0.0705051991231206, -0.302539898105897, 0.06394345022805889, -0.2168299297336489, -0.2081535534564561, 0.12278602893153827, 0.1812804867241842, -0.004250718428132435, -0.1757563698590578, 0.2002632297342643, 0.054437596206359254, 0.10316278629470617, -0.10447465676891927, -0.11525446987555672, -0.044916314811174134, -0.023111203499138356, -0.029195538285421208, 0.12355030465017383, 0.10026799784585212, -0.11941333037246599, -0.08897316267248243, 0.31496034561035535, -0.03282813163884081, 0.17632098994993914, 0.2661707235965878, -0.17665012068658445, -0.19063585330344116, 0.17763199784676545, 0.10095196738063048, 0.07191343699814752, -0.2064458286447916, 0.0031509748466002443, -0.058866137904503076, 0.1763721453413988, 0.09564363877483023, 0.0316369118012517, 0.26982535279821607, 0.10784397012321278, 0.01059768256964162, 0.057622595507321725, -0.2469714456257255, 0.03910309736626611, -0.20924912801322837, -0.08145516861695797, -0.15166231743060052, 0.17837542113848032, -0.10804730073614337, -0.11278088958933949, 0.34034612965770067, 0.050121527165174484, 0.24477765509703506, -0.041468633782157364, 0.19482171665877104, 0.07770959567181611, 0.10529051084886305, 0.1464628915632299, 0.3849601037800312, 0.15410077256965451, 0.13467302644761123, -0.21247399447020143, 0.130547291385786, 0.02305031334690284] |
710.3754 | Mid-Infrared Photometry and Spectra of Three High Mass Protostellar
Candidates at IRAS 18151-1208 and IRAS 20343+4129 | We present arcsecond-scale mid-ir photometry (in the 10.5 micron N band and
at 24.8 microns), and low resolution spectra in the N band (R~100) of a
candidate high mass protostellar object (HMPO) in IRAS 18151-1208 and of two
HMPO candidates in IRAS 20343+4129, IRS 1 and IRS 3. In addition we present
high resolution mid-ir spectra (R~80000) of the two HMPO candidates in IRAS
20343+4129. These data are fitted with simple models to estimate the masses of
gas and dust associated with the mid-ir emitting clumps, the column densities
of overlying absorbing dust and gas, the luminosities of the HMPO candidates,
and the likely spectral type of the HMPO candidate for which [Ne II] 12.8
micron emission was detected (IRAS 20343+4129 IRS 3). We suggest that IRAS
18151-1208 is a pre-ultracompact HII region HMPO, IRAS 20343+4129 IRS 1 is an
embedded young stellar object with the luminosity of a B3 star, and IRAS
20343+4129 IRS 3 is a B2 ZAMS star that has formed an ultracompact HII region
and disrupted its natal envelope.
| astro-ph | we present arcsecondscale midir photometry in the 105 micron n band and at 248 microns and low resolution spectra in the n band r100 of a candidate high mass protostellar object hmpo in iras 181511208 and of two hmpo candidates in iras 203434129 irs 1 and irs 3 in addition we present high resolution midir spectra r80000 of the two hmpo candidates in iras 203434129 these data are fitted with simple models to estimate the masses of gas and dust associated with the midir emitting clumps the column densities of overlying absorbing dust and gas the luminosities of the hmpo candidates and the likely spectral type of the hmpo candidate for which ne ii 128 micron emission was detected iras 203434129 irs 3 we suggest that iras 181511208 is a preultracompact hii region hmpo iras 203434129 irs 1 is an embedded young stellar object with the luminosity of a b3 star and iras 203434129 irs 3 is a b2 zams star that has formed an ultracompact hii region and disrupted its natal envelope | [['we', 'present', 'arcsecondscale', 'midir', 'photometry', 'in', 'the', '105', 'micron', 'n', 'band', 'and', 'at', '248', 'microns', 'and', 'low', 'resolution', 'spectra', 'in', 'the', 'n', 'band', 'r100', 'of', 'a', 'candidate', 'high', 'mass', 'protostellar', 'object', 'hmpo', 'in', 'iras', '181511208', 'and', 'of', 'two', 'hmpo', 'candidates', 'in', 'iras', '203434129', 'irs', '1', 'and', 'irs', '3', 'in', 'addition', 'we', 'present', 'high', 'resolution', 'midir', 'spectra', 'r80000', 'of', 'the', 'two', 'hmpo', 'candidates', 'in', 'iras', '203434129', 'these', 'data', 'are', 'fitted', 'with', 'simple', 'models', 'to', 'estimate', 'the', 'masses', 'of', 'gas', 'and', 'dust', 'associated', 'with', 'the', 'midir', 'emitting', 'clumps', 'the', 'column', 'densities', 'of', 'overlying', 'absorbing', 'dust', 'and', 'gas', 'the', 'luminosities', 'of', 'the', 'hmpo', 'candidates', 'and', 'the', 'likely', 'spectral', 'type', 'of', 'the', 'hmpo', 'candidate', 'for', 'which', 'ne', 'ii', '128', 'micron', 'emission', 'was', 'detected', 'iras', '203434129', 'irs', '3', 'we', 'suggest', 'that', 'iras', '181511208', 'is', 'a', 'preultracompact', 'hii', 'region', 'hmpo', 'iras', '203434129', 'irs', '1', 'is', 'an', 'embedded', 'young', 'stellar', 'object', 'with', 'the', 'luminosity', 'of', 'a', 'b3', 'star', 'and', 'iras', '203434129', 'irs', '3', 'is', 'a', 'b2', 'zams', 'star', 'that', 'has', 'formed', 'an', 'ultracompact', 'hii', 'region', 'and', 'disrupted', 'its', 'natal', 'envelope']] | [-0.02550702466058198, 0.07369133682943864, -0.023063765100993994, 0.019148889006532426, -0.06153788719310014, -0.11691458691398851, 0.012639267031688156, 0.5228344156368917, -0.07385789820190714, -0.32796296583445267, 0.07322064369272571, -0.29728283825178825, 0.05631973985196795, 0.0735594593313371, -0.06064653085026251, -0.0902027976323531, 0.026096723790836877, -0.18810492580171762, 0.02070876007911825, -0.212957042540142, 0.28574867323474135, 0.0860948164163558, 0.058912078112223036, -0.04504347555044914, 0.09453399740849881, -0.24465828042120003, -0.07709903585681216, -0.12547684486327304, -0.18702322009013123, 0.06180554292256792, 0.2706320042850568, 0.09607810531688724, 0.14623070463164559, -0.2462499920646985, -0.19130743816386647, 0.028409299830537894, 0.21597879988866922, -0.07456391036231612, -0.037690724296289564, -0.2939903860272796, 0.11969756678411424, -0.23554732027290345, -0.200089848502864, 0.14894998178622404, 0.10468049378264262, 0.01961304895514839, -0.23625782569653767, 0.11207620030117416, -0.03964896295774663, 0.10354087687216612, -0.2246365595891866, -0.16603694582184733, -0.1479401311994162, 0.04592159238838872, -0.11352352466742877, 0.11700739595378468, 0.18258504483978763, -0.17698214159531214, -0.0328819556053468, 0.37353571544152275, -0.06398586328628711, 0.09525525416139254, 0.27648769313642796, -0.2208257017225341, -0.2638671047292476, 0.2735734002144877, 0.03780556077863155, 0.15671334890540428, -0.12450682522923967, -0.011693204525854102, -0.027130129445225085, 0.2723056452543756, 0.060198859086931615, 0.15081486751888554, 0.35429219164557996, 0.09782873647460757, -0.017773990204617337, 0.18450369913304268, -0.3972180573202718, 0.014797491292187642, -0.23605469136693796, -0.1254435445203684, -0.15740174964560347, 0.10527446159353848, -0.18700147118494875, -0.05651310014015275, 0.2321109038311988, 0.05498337170899694, 0.21797667540945545, -0.0012814572208214464, 0.2961144492376682, 0.03128749311923287, 0.10550336403025011, 0.20348002606472218, 0.27724943893723364, 0.1463965430076039, 0.11712034016327802, -0.21222644985577654, -0.01403580627913132, -0.012057964343490988] |
710.3755 | The Standard Model Higgs boson as the inflaton | We argue that the Higgs boson of the Standard Model can lead to inflation and
produce cosmological perturbations in accordance with observations. An
essential requirement is the non-minimal coupling of the Higgs scalar field to
gravity; no new particle besides already present in the electroweak theory is
required.
| hep-th astro-ph hep-ph | we argue that the higgs boson of the standard model can lead to inflation and produce cosmological perturbations in accordance with observations an essential requirement is the nonminimal coupling of the higgs scalar field to gravity no new particle besides already present in the electroweak theory is required | [['we', 'argue', 'that', 'the', 'higgs', 'boson', 'of', 'the', 'standard', 'model', 'can', 'lead', 'to', 'inflation', 'and', 'produce', 'cosmological', 'perturbations', 'in', 'accordance', 'with', 'observations', 'an', 'essential', 'requirement', 'is', 'the', 'nonminimal', 'coupling', 'of', 'the', 'higgs', 'scalar', 'field', 'to', 'gravity', 'no', 'new', 'particle', 'besides', 'already', 'present', 'in', 'the', 'electroweak', 'theory', 'is', 'required']] | [-0.13801346272036122, 0.2294877524379141, -0.09260741912294179, 0.1430338124288634, -0.12337940849829465, -0.18855043624838194, -0.07307527663215296, 0.29348832617203396, -0.17470963933737949, -0.30432468571234494, 0.02631150920691046, -0.2162138884984112, -0.10600008411953847, 0.13379351690673502, -0.03147064409373949, 0.06260177691001445, 0.04524990083882585, 0.061124458288153015, 0.0038325219065882266, -0.28718105843290687, 0.3320780703603911, 0.10214706473925617, 0.1699887157495444, 0.041635553895806275, 0.0802492595394142, -0.04628151483484544, -0.0023883424995195432, -0.03209686938983699, -0.1385097678777735, 0.09987782658572542, 0.13049014448279195, 0.10568123392946897, 0.20053236031283936, -0.4121654351086666, -0.2276220419856448, 0.17264937112728754, 0.1379925491831576, 0.19491687586802678, -0.093621964896253, -0.2756216829099382, 0.09070114936912432, -0.18876993850183985, -0.10504195650961871, -0.09381451488297898, -0.10242562900869719, -0.1330273256074482, -0.340738479339052, 0.06578018735793496, -0.051139445664982, -0.00010898391095300515, -0.02907206123927608, -0.04685040805876876, -0.06879931612638757, -0.005750828383800884, 0.21212828910938697, 0.07577827098430134, 0.12348258705848518, -0.2265128248060743, -0.14548552780615864, 0.45449572227274376, -0.1782286435967156, -0.16619930187395462, 0.1592116982792504, -0.1618638021997564, -0.15562736076147607, 0.09318145074454758, 0.11734942983215053, 0.029816513978100073, -0.13463826370813572, 0.23732066374577698, 0.020027882225501042, 0.20020400311720246, 0.014311848191330986, 0.05353370567657597, 0.3314233385026455, 0.1432757564665129, 0.05199870360471929, 0.0651806154831623, -0.0225922359386459, -0.11578376730903983, -0.47786619747057557, -0.16359317859557146, -0.07902278337375417, 0.0164729420406123, -0.13964215569012595, -0.16465704375877976, 0.3789609850306685, 0.2183926866564434, 0.1836366885812216, 0.040420694305794314, 0.24993484013248235, 0.10842167523029882, 0.09976525569800287, 0.019243981941447903, 0.41810711797249195, 0.17121817546042925, 0.14629786901544625, -0.21293177113208608, -0.04009139636764303, 0.04785088814484576] |
710.3756 | Complex Langevin Equations and Schwinger-Dyson Equations | Stationary distributions of complex Langevin equations are shown to be the
complexified path integral solutions of the Schwinger-Dyson equations of the
associated quantum field theory. Specific examples in zero dimensions and on a
lattice are given. Relevance to the study of quantum field theory phase space
is discussed.
| hep-th hep-lat hep-ph | stationary distributions of complex langevin equations are shown to be the complexified path integral solutions of the schwingerdyson equations of the associated quantum field theory specific examples in zero dimensions and on a lattice are given relevance to the study of quantum field theory phase space is discussed | [['stationary', 'distributions', 'of', 'complex', 'langevin', 'equations', 'are', 'shown', 'to', 'be', 'the', 'complexified', 'path', 'integral', 'solutions', 'of', 'the', 'schwingerdyson', 'equations', 'of', 'the', 'associated', 'quantum', 'field', 'theory', 'specific', 'examples', 'in', 'zero', 'dimensions', 'and', 'on', 'a', 'lattice', 'are', 'given', 'relevance', 'to', 'the', 'study', 'of', 'quantum', 'field', 'theory', 'phase', 'space', 'is', 'discussed']] | [-0.16713200965265665, 0.17472999956225976, -0.09385045792441815, 0.0787836460537316, -0.09582042857073247, -0.09825725173383641, -0.037484112443053164, 0.3363885753788054, -0.25445980912384886, -0.1911206275302296, 0.09115756887816436, -0.2834952479461208, -0.19804098433814943, 0.1865353835746646, -0.03351763921091333, 0.10058556563065697, 0.04207216874541094, 0.09045046583438913, -0.09713661913216735, -0.27147672476712614, 0.36602885666070506, -0.022628271326539107, 0.27266106601261225, 0.011324290234673148, 0.14813021384179592, -0.026907455719386537, -0.021572458050892845, 0.06398034164582593, -0.17227441233505184, 0.096932702329165, 0.24541326796558374, 0.048704276860613994, 0.2098998270521406, -0.42401130284027505, -0.2575698239185537, 0.04751656709898574, 0.1250335777682873, 0.13276181175994375, -0.015562086514061471, -0.32218542355500784, 0.07047112885629758, -0.10483252061142896, -0.22369999558820078, -0.12739090198495737, 0.0032929435304443664, 0.059614244688418694, -0.21851742698345333, 0.04348518810002133, -0.013271183803832779, 0.06533391304158916, -0.09872165037086233, -0.08117117008077912, -0.020556862640660256, 0.07970577335800044, 0.03631145495940776, 0.04454409776856968, 0.08689659096611042, -0.18693951711369058, -0.15998352098783167, 0.392055516577481, -0.02210901299258694, -0.29647141448610154, 0.15247656158559644, -0.1614912067501185, -0.07891124935122207, 0.15482496462451914, 0.14503012109586658, 0.1651136395521462, -0.1715645297857312, 0.20727236297170748, 0.0008283411734737456, 0.07536909267461549, 0.030458118931467954, 0.019520938377051305, 0.18005942544990225, 0.0826104210767274, 0.039565697845925264, 0.13627685108561613, 0.00890813696484353, -0.30640584548624855, -0.39078232428679865, -0.18988377230319506, -0.1904268465974989, 0.11086613147441919, -0.12065216707772682, -0.2072532003530796, 0.35295012685431476, 0.14465882577769662, 0.13663646505059054, -0.007399156592631091, 0.19617654550044486, 0.2568493761937134, 0.013077387120574713, -0.00354434663313441, 0.15880867202455798, 0.25892209440159303, 0.08548772394230279, -0.25027671082837816, -0.07882321202972283, 0.13489966218185145] |
710.3757 | Inferring the conditional mean | Consider a stationary real-valued time series $\{X_n\}_{n=0}^{\infty}$ with a
priori unknown distribution. The goal is to estimate the conditional
expectation $E(X_{n+1}|X_0,..., X_n)$ based on the observations $(X_0,...,
X_n)$ in a pointwise consistent way. It is well known that this is not possible
at all values of $n$. We will estimate it along stopping times.
| math.PR cs.IT math.IT | consider a stationary realvalued time series x_n_n0infty with a priori unknown distribution the goal is to estimate the conditional expectation ex_n1x_0 x_n based on the observations x_0 x_n in a pointwise consistent way it is well known that this is not possible at all values of n we will estimate it along stopping times | [['consider', 'a', 'stationary', 'realvalued', 'time', 'series', 'x_n_n0infty', 'with', 'a', 'priori', 'unknown', 'distribution', 'the', 'goal', 'is', 'to', 'estimate', 'the', 'conditional', 'expectation', 'ex_n1x_0', 'x_n', 'based', 'on', 'the', 'observations', 'x_0', 'x_n', 'in', 'a', 'pointwise', 'consistent', 'way', 'it', 'is', 'well', 'known', 'that', 'this', 'is', 'not', 'possible', 'at', 'all', 'values', 'of', 'n', 'we', 'will', 'estimate', 'it', 'along', 'stopping', 'times']] | [-0.12358329793051728, 0.11426269496738348, -0.10435561196140523, 0.0656905144778133, -0.06989407854787302, -0.11463494399421902, 0.03923146092807347, 0.42603681728524984, -0.2711828367736296, -0.21309616824366012, 0.1434959592802872, -0.2757608166913379, -0.09066369676004814, 0.15899491748983427, -0.10046135398717422, 0.09651214802304924, 0.019064151084507413, 0.1321166143664774, -0.05201829300055562, -0.2628094239186777, 0.2473954416082223, 0.024602746854553808, 0.2287167584576275, -0.08244018114330072, 0.15469110242249268, -0.0018770320622145005, -0.01747536089684252, -0.038775202870931266, -0.16219546966200346, 0.047788838082748766, 0.23047566113396073, 0.13857965852256934, 0.308208246170631, -0.36055557363016427, -0.1515637757080906, 0.19050611241254956, 0.16115252143606754, 0.04208330616776673, 0.013178157064413547, -0.24979206269501514, 0.10486698172160618, -0.08628799608592296, -0.17053825894968128, -0.02658744411156425, 0.07719870439713013, 0.04047387297142227, -0.39045304870935826, 0.06732719155019676, 0.030794975420301955, -0.010399128872690335, -0.056941914829021355, -0.1332659120935033, 0.0271593193690521, 0.0949214193969965, 0.08015572836069074, 0.1081289683703667, 0.08712006876912881, -0.03183641051873565, -0.05584077505429961, 0.30289960431181034, -0.10533444237245142, -0.2337685580242355, 0.10502122880732816, -0.2113341035602509, -0.16145079054008676, 0.12604192502023476, 0.12149831167650672, 0.18734707444343926, -0.16029156601267322, 0.09561068835264107, -0.10736694921440673, 0.15891954204383887, 0.0068460172130111255, 0.012083507327468327, 0.19865852852685834, 0.12746950850453018, 0.15445707454609703, 0.07368505075749643, -0.0690416805314357, -0.07864561834359401, -0.3962755505136161, -0.11487664821786138, -0.2731879280093741, 0.1562692400044432, -0.10580617817610784, -0.15985433226627, 0.32665536535095496, 0.193075350046439, 0.2814808038309357, 0.1522583358982613, 0.28960984897852504, 0.15266927823705492, -0.02952327403538632, 0.09867151753695787, 0.11813765525255564, 0.1386060374734027, 0.03742423970779439, -0.1257455249246702, 0.18576672844553613, 0.05776988161411488] |
710.3758 | Heating mechanism affects equipartition in a binary granular system | Two species of particles in a binary granular system typically do not have
the same mean kinetic energy, in contrast to the equipartition of energy
required in equilibrium. We investigate the role of the heating mechanism in
determining the extent of this non-equipartition of kinetic energy. In most
experiments, different species of particle are unequally heated at the
boundaries. We show by event-driven simulations that this differential heating
at the boundary influences the level of non-equipartition even in the bulk of
the system. This conclusion is fortified by studying a numerical model and a
solvable stochastic model without spatial degrees of freedom. In both cases,
even in the limit where heating events are rare compared to collisions, the
effect of the heating mechanism persists.
| cond-mat.soft | two species of particles in a binary granular system typically do not have the same mean kinetic energy in contrast to the equipartition of energy required in equilibrium we investigate the role of the heating mechanism in determining the extent of this nonequipartition of kinetic energy in most experiments different species of particle are unequally heated at the boundaries we show by eventdriven simulations that this differential heating at the boundary influences the level of nonequipartition even in the bulk of the system this conclusion is fortified by studying a numerical model and a solvable stochastic model without spatial degrees of freedom in both cases even in the limit where heating events are rare compared to collisions the effect of the heating mechanism persists | [['two', 'species', 'of', 'particles', 'in', 'a', 'binary', 'granular', 'system', 'typically', 'do', 'not', 'have', 'the', 'same', 'mean', 'kinetic', 'energy', 'in', 'contrast', 'to', 'the', 'equipartition', 'of', 'energy', 'required', 'in', 'equilibrium', 'we', 'investigate', 'the', 'role', 'of', 'the', 'heating', 'mechanism', 'in', 'determining', 'the', 'extent', 'of', 'this', 'nonequipartition', 'of', 'kinetic', 'energy', 'in', 'most', 'experiments', 'different', 'species', 'of', 'particle', 'are', 'unequally', 'heated', 'at', 'the', 'boundaries', 'we', 'show', 'by', 'eventdriven', 'simulations', 'that', 'this', 'differential', 'heating', 'at', 'the', 'boundary', 'influences', 'the', 'level', 'of', 'nonequipartition', 'even', 'in', 'the', 'bulk', 'of', 'the', 'system', 'this', 'conclusion', 'is', 'fortified', 'by', 'studying', 'a', 'numerical', 'model', 'and', 'a', 'solvable', 'stochastic', 'model', 'without', 'spatial', 'degrees', 'of', 'freedom', 'in', 'both', 'cases', 'even', 'in', 'the', 'limit', 'where', 'heating', 'events', 'are', 'rare', 'compared', 'to', 'collisions', 'the', 'effect', 'of', 'the', 'heating', 'mechanism', 'persists']] | [-0.1501323247507718, 0.19190527742067653, -0.061967218575450865, 0.09433588885980088, 0.021385217509833316, -0.06759118040527907, 0.019237193648868632, 0.3334092697008483, -0.2570542078775038, -0.3368698083795607, 0.04788030518290226, -0.27668623410676035, -0.060969612454139295, 0.14523280895457813, 0.00862040632449451, -0.004187207181295831, 0.055866205692308865, 0.02578886818035596, -0.020988363109814424, -0.20223190417821188, 0.30088693321675003, 0.12370737173384236, 0.24908485005219136, 0.07226731632592066, 0.09557021573756731, -0.04690112540641079, -0.0012091084067980128, 0.040636840902724576, -0.12329692359960445, 0.039244488037741485, 0.20730670381547703, 0.02654341356584712, 0.2833078793219982, -0.4724594281400524, -0.26134481326106096, 0.10673129056099682, 0.15248940631183008, 0.12848575032436318, -0.042763411886088794, -0.17662094271790627, 0.03811243007470283, -0.15929669524062304, -0.1295477473890529, 0.007838378818104825, -0.01857515024922548, 0.040731833436556404, -0.25983947096204746, 0.13359091672558157, 0.09321147169271905, 0.07414597807875849, -0.08705443073807645, -0.0790412632312866, -0.05978341507087011, 0.08594596717270062, 0.06293672719414556, -0.04225025520985758, 0.1682994444929664, -0.18663104919382492, -0.07647714845746034, 0.3978275879391379, -0.04656943272059453, -0.20354873135933774, 0.24533382096823544, -0.2039375324628406, -0.12897421416804014, 0.17639223534816637, 0.18308772456892317, 0.12550697730283342, -0.18010356313278597, 0.04552266428635771, -0.01958144655556328, 0.1413429037690343, 0.05423245408324404, 0.015429944611124454, 0.21733680688175222, 0.18663817153672776, 0.015785558996984975, 0.14790477642729397, -0.09314233998790564, -0.13027316874509015, -0.28756255277943227, -0.13760756122909726, -0.15566778300149786, 0.017222010183280463, -0.07683188072769553, -0.11442946484913269, 0.37073111219233984, 0.20995014196171635, 0.18261685430573585, -0.004462225892160448, 0.27885317053615805, 0.1229196397903105, 0.041055110722569926, 0.0962099012723493, 0.2977700369214759, 0.09670750896311214, 0.08983562803346544, -0.28955275812862263, 0.07566893786274557, 0.023316328671024813] |
710.3759 | Selective Reflection Spectroscopy at the Interface between a Calcium
Fluoride Window and Cs Vapour | A special vapour cell has been built, that allows the measurement of the
atom-surface van der Waals interaction exerted by a CaF2 window at the
interface with Cs vapour. Mechanical and thermal fragility of fluoride windows
make common designs of vapour cells unpractical, so that we have developed an
all-sapphire sealed cell with an internal CaF2 window. Although impurities were
accidentally introduced when filling-up the prototype cell, leading to a
line-broadening and shift, the selective reflection spectrum on the Cs D1 line
(894 nm) makes apparent the weak van der Waals surface interaction. The
uncertainties introduced by the effects of these impurities in the van der
Waals measurement are nearly eliminated when comparing the selective reflection
signal at the CaF2 interface of interest, and at a sapphire window of the same
cell. The ratio of the interaction respectively exerted by a sapphire interface
and a CaF2 interface is found to be 0.55 $\pm$ 0.25, in good agreement with the
theoretical evaluation of ~0.67.
| physics.atom-ph | a special vapour cell has been built that allows the measurement of the atomsurface van der waals interaction exerted by a caf2 window at the interface with cs vapour mechanical and thermal fragility of fluoride windows make common designs of vapour cells unpractical so that we have developed an allsapphire sealed cell with an internal caf2 window although impurities were accidentally introduced when fillingup the prototype cell leading to a linebroadening and shift the selective reflection spectrum on the cs d1 line 894 nm makes apparent the weak van der waals surface interaction the uncertainties introduced by the effects of these impurities in the van der waals measurement are nearly eliminated when comparing the selective reflection signal at the caf2 interface of interest and at a sapphire window of the same cell the ratio of the interaction respectively exerted by a sapphire interface and a caf2 interface is found to be 055 pm 025 in good agreement with the theoretical evaluation of 067 | [['a', 'special', 'vapour', 'cell', 'has', 'been', 'built', 'that', 'allows', 'the', 'measurement', 'of', 'the', 'atomsurface', 'van', 'der', 'waals', 'interaction', 'exerted', 'by', 'a', 'caf2', 'window', 'at', 'the', 'interface', 'with', 'cs', 'vapour', 'mechanical', 'and', 'thermal', 'fragility', 'of', 'fluoride', 'windows', 'make', 'common', 'designs', 'of', 'vapour', 'cells', 'unpractical', 'so', 'that', 'we', 'have', 'developed', 'an', 'allsapphire', 'sealed', 'cell', 'with', 'an', 'internal', 'caf2', 'window', 'although', 'impurities', 'were', 'accidentally', 'introduced', 'when', 'fillingup', 'the', 'prototype', 'cell', 'leading', 'to', 'a', 'linebroadening', 'and', 'shift', 'the', 'selective', 'reflection', 'spectrum', 'on', 'the', 'cs', 'd1', 'line', '894', 'nm', 'makes', 'apparent', 'the', 'weak', 'van', 'der', 'waals', 'surface', 'interaction', 'the', 'uncertainties', 'introduced', 'by', 'the', 'effects', 'of', 'these', 'impurities', 'in', 'the', 'van', 'der', 'waals', 'measurement', 'are', 'nearly', 'eliminated', 'when', 'comparing', 'the', 'selective', 'reflection', 'signal', 'at', 'the', 'caf2', 'interface', 'of', 'interest', 'and', 'at', 'a', 'sapphire', 'window', 'of', 'the', 'same', 'cell', 'the', 'ratio', 'of', 'the', 'interaction', 'respectively', 'exerted', 'by', 'a', 'sapphire', 'interface', 'and', 'a', 'caf2', 'interface', 'is', 'found', 'to', 'be', '055', 'pm', '025', 'in', 'good', 'agreement', 'with', 'the', 'theoretical', 'evaluation', 'of', '067']] | [-0.11467481443922921, 0.16130563948913565, -0.0500141919941216, -0.08074537404729513, -0.008053203722761, -0.1992933972520225, 0.08815177172899569, 0.3941460930926288, -0.2070575758791816, -0.29142103580482026, 0.00565521315280578, -0.31925907024237354, -0.11153260122317775, 0.16891250339693126, -0.023774863237998, 0.0534101135764317, -0.004159631575515241, -0.0752323923063361, -0.02532330891519877, -0.19864923606431226, 0.2500942241009555, 0.11481177530331928, 0.31251703716676543, 0.12542678153625242, 0.06180788625360834, -0.00550512480477653, 0.04988731327754112, 0.01867169456809391, -0.20497493450517298, 0.08280395806974007, 0.22164744859163213, -0.07246667185919015, 0.2650484055953307, -0.44060001413504607, -0.19913716555984812, -0.019453925301930235, 0.09202523413042388, 0.12924134595043682, -0.08727656439719951, -0.2934956993896192, 0.033420195889279795, -0.16315667822462632, -0.08848154302801431, 0.021176304741666284, 0.014439868231959365, 0.0265827963910537, -0.23685495062719708, 0.05231006725196853, 0.022037893584009583, 0.09056129879720601, -0.08100944338114875, -0.14942524086735728, -0.057096256920492944, 0.09059951779537512, -0.03305261533126741, 0.014509835051060769, 0.24605411460140236, -0.0667168876690859, 0.0010449787146227872, 0.41280087722856323, -0.0883055181575962, -0.09686710199026426, 0.20571982586773596, -0.12731791854358887, -0.0367453201547449, 0.18974900491360322, 0.07809935506134305, 0.03586640060242599, -0.16064315715917518, 0.07218180525398318, 0.039677761380135276, 0.24522928580681988, 0.18762279009837426, 0.011091535942178769, 0.21975831932353754, 0.1543808026615829, 0.0023130993430652185, 0.12222177333437068, -0.14297841711829087, -0.013296240795889501, -0.20135837212710836, -0.19692230263989371, -0.1794011644429073, 0.008236537943306713, -0.10297943294920706, -0.21809655757919874, 0.3279545602017157, 0.07404524838712848, 0.15892942757403225, -0.04324032497350817, 0.26119858999650375, 0.060081106090320295, 0.0748655669402653, -0.033352869359437196, 0.3311217647091842, 0.15749005032818258, 0.11615111643482966, -0.2532774036704206, 0.08275659736475827, 0.015164598673122165] |
710.376 | Guessing the output of a stationary binary time series | The forward prediction problem for a binary time series
$\{X_n\}_{n=0}^{\infty}$ is to estimate the probability that $X_{n+1}=1$ based
on the observations $X_i$, $0\le i\le n$ without prior knowledge of the
distribution of the process $\{X_n\}$. It is known that this is not possible if
one estimates at all values of $n$. We present a simple procedure which will
attempt to make such a prediction infinitely often at carefully selected
stopping times chosen by the algorithm. The growth rate of the stopping times
is also exhibited.
| math.PR cs.IT math.IT | the forward prediction problem for a binary time series x_n_n0infty is to estimate the probability that x_n11 based on the observations x_i 0le ile n without prior knowledge of the distribution of the process x_n it is known that this is not possible if one estimates at all values of n we present a simple procedure which will attempt to make such a prediction infinitely often at carefully selected stopping times chosen by the algorithm the growth rate of the stopping times is also exhibited | [['the', 'forward', 'prediction', 'problem', 'for', 'a', 'binary', 'time', 'series', 'x_n_n0infty', 'is', 'to', 'estimate', 'the', 'probability', 'that', 'x_n11', 'based', 'on', 'the', 'observations', 'x_i', '0le', 'ile', 'n', 'without', 'prior', 'knowledge', 'of', 'the', 'distribution', 'of', 'the', 'process', 'x_n', 'it', 'is', 'known', 'that', 'this', 'is', 'not', 'possible', 'if', 'one', 'estimates', 'at', 'all', 'values', 'of', 'n', 'we', 'present', 'a', 'simple', 'procedure', 'which', 'will', 'attempt', 'to', 'make', 'such', 'a', 'prediction', 'infinitely', 'often', 'at', 'carefully', 'selected', 'stopping', 'times', 'chosen', 'by', 'the', 'algorithm', 'the', 'growth', 'rate', 'of', 'the', 'stopping', 'times', 'is', 'also', 'exhibited']] | [-0.0911991841324112, 0.10020227358840844, -0.10360087243401829, 0.038102488923130506, -0.049520746952689744, -0.14424268360633183, 0.07955875552040251, 0.40752596048199957, -0.263274987217258, -0.27331441429388875, 0.14244925763238878, -0.2822093375136747, -0.0868142751572818, 0.16109873689163257, -0.038324779825394645, 0.06465693585564355, 0.04191609981524594, 0.10759381766924087, -0.03652156877450419, -0.3094059239662088, 0.26631058158681675, 0.05519205148824874, 0.23339112602064715, -0.029665993630666944, 0.12627395050161902, 0.01742049496730461, -0.023935576637878136, -0.04657850041437675, -0.16924985414182575, 0.05594369698836304, 0.2421568311203052, 0.16297065647976364, 0.31428556549636755, -0.3892258946071653, -0.17326347071074827, 0.15702596789034193, 0.13864130193148466, 0.05793191167553339, -0.01377025940866374, -0.20641628763063208, 0.11804297798696686, -0.11454633393270128, -0.12937068817041375, -0.011269524036084904, 0.08005837512695614, 0.021922558889149086, -0.3714114657137543, 0.04216691664769314, 0.08766383782905691, -0.03296210800900179, -0.012876595743000508, -0.13307941906592424, 0.021233473915387602, 0.11808883163201458, 0.07114931692280259, 0.04857191669015104, 0.07605216843897805, -0.075445194780717, -0.08499250062467421, 0.3359452141010586, -0.044053022147101516, -0.19685303985196, 0.11860581224729472, -0.15342589141801, -0.16159243245663887, 0.16150441560346415, 0.12757435899008723, 0.17652982600471553, -0.1561782570555806, 0.05484150250935379, -0.05173629893756965, 0.17799248341470958, 0.04797956912833102, -0.015393214897416971, 0.16401000601403853, 0.14723445791751147, 0.0793921490199864, 0.06413399073130945, -0.09886921465342098, -0.043146238964297534, -0.33940062699291634, -0.10915133322808235, -0.23324636219973294, 0.12402917248597506, -0.12323222651201136, -0.12437024410156643, 0.3163269976044402, 0.16497960396741024, 0.2550521946676514, 0.10322036449660492, 0.26752119466443275, 0.12208312541684684, 0.014647500211482539, 0.08335840107653947, 0.1396368837203173, 0.05404333002892706, 0.045796873108209936, -0.173577506638899, 0.16138199499863035, 0.07949089260004899] |
710.3761 | Extraordinary surface voltage effect in the invisibility cloak with an
active device inside | The electromagnetic field solution for a spherical invisibility cloak with an
active device inside is established. Extraordinary electric and magnetic
surface voltages are induced at the inner boundary of a spherical cloak, which
prevent electromagnetic waves from going out. The phase and handness of
polarized waves obliquely incident on such boundaries is kept in the reflected
waves. The surface voltages due to an electric dipole inside the concealed
region are found equal to the auxiliary scalar potentials at the inner
boundary, which consequently gain physical counterparts in this case.
| physics.optics | the electromagnetic field solution for a spherical invisibility cloak with an active device inside is established extraordinary electric and magnetic surface voltages are induced at the inner boundary of a spherical cloak which prevent electromagnetic waves from going out the phase and handness of polarized waves obliquely incident on such boundaries is kept in the reflected waves the surface voltages due to an electric dipole inside the concealed region are found equal to the auxiliary scalar potentials at the inner boundary which consequently gain physical counterparts in this case | [['the', 'electromagnetic', 'field', 'solution', 'for', 'a', 'spherical', 'invisibility', 'cloak', 'with', 'an', 'active', 'device', 'inside', 'is', 'established', 'extraordinary', 'electric', 'and', 'magnetic', 'surface', 'voltages', 'are', 'induced', 'at', 'the', 'inner', 'boundary', 'of', 'a', 'spherical', 'cloak', 'which', 'prevent', 'electromagnetic', 'waves', 'from', 'going', 'out', 'the', 'phase', 'and', 'handness', 'of', 'polarized', 'waves', 'obliquely', 'incident', 'on', 'such', 'boundaries', 'is', 'kept', 'in', 'the', 'reflected', 'waves', 'the', 'surface', 'voltages', 'due', 'to', 'an', 'electric', 'dipole', 'inside', 'the', 'concealed', 'region', 'are', 'found', 'equal', 'to', 'the', 'auxiliary', 'scalar', 'potentials', 'at', 'the', 'inner', 'boundary', 'which', 'consequently', 'gain', 'physical', 'counterparts', 'in', 'this', 'case']] | [-0.18441978969684478, 0.20144575522732502, -0.03903451862253165, -0.002871973307939309, -0.10233211804055765, -0.10374373196509112, 0.0019522620616166779, 0.40157130957068354, -0.24205936026874553, -0.2811425214298488, 0.06043594584570088, -0.28855436490430086, -0.11989157868737585, 0.1933421293336354, 0.0038825442835955432, 0.01761365832572573, -0.040409603072435, 0.05344725046516134, -0.03971375793930185, -0.10969874795965767, 0.3033433956292908, 0.0534824909160981, 0.28152149501308965, 0.048604556495386565, 0.06987256224360709, -0.004414656701801198, 0.050861476454883814, 0.006197076458274648, -0.06898829991814126, 0.04535183968974717, 0.22783104047765224, -0.04392006075574776, 0.18008468244120143, -0.4979837883180112, -0.218352862958158, 0.043143836917418445, 0.11542686310680478, 0.12200187449343503, -0.07779225828047591, -0.3165156641802384, 0.04142377224457817, -0.09982761581627171, -0.2282030790405913, 0.05164973365582442, 0.03023118647783367, 0.003002403371998768, -0.27345148787907, 0.0031551195235316005, 0.06655361465691181, 0.037489892485855, -0.1151719204035033, -0.07369385032883186, -0.07089483326698622, 0.06898877456826105, 0.07268507131427694, 0.06081976711729102, 0.20441275302404432, -0.16590662214517846, -0.005051650202393615, 0.3371592482258932, 3.901810458536898e-05, -0.2221142487323142, 0.1578856194123699, -0.20645832017409416, 0.08684362220483717, 0.2640527671757625, 0.1969872009783481, 0.1144400485686623, -0.11790988513718495, 0.07656647497657268, -0.00021256981260572256, 0.13299505823825516, 0.19362621268864427, 0.004223319591975279, 0.3309090230300018, 0.07279969629402576, 0.08268633792490772, 0.1758820400887242, -0.10483112203982774, -0.0020765203124519143, -0.3393753059626965, -0.11647884529397896, -0.17168137144422932, 0.04263580767333173, -0.05675006965162191, -0.21420826351667724, 0.35781181684245217, 0.09306713267951534, 0.10211696585357775, -0.0734235461607701, 0.3377130071350028, 0.11863492748417546, 0.08499264971384507, 0.11565650079701503, 0.34914175508899636, 0.19556805665939628, 0.13023797237298587, -0.22433898968130267, -0.002502010465505418, 0.013647500373255671] |
710.3762 | Exponential decay in a spin bath | We show that the coherence of an electron spin interacting with a bath of
nuclear spins can exhibit a well-defined purely exponential decay for special
(`narrowed') bath initial conditions in the presence of a strong applied
magnetic field. This is in contrast to the typical case, where spin-bath
dynamics have been investigated in the non-Markovian limit, giving
super-exponential or power-law decay of correlation functions. We calculate the
relevant decoherence time T_2 explicitly for free-induction decay and find a
simple expression with dependence on bath polarization, magnetic field, the
shape of the electron wave function, dimensionality, total nuclear spin I, and
isotopic concentration for experimentally relevant heteronuclear spin systems.
| cond-mat.mes-hall quant-ph | we show that the coherence of an electron spin interacting with a bath of nuclear spins can exhibit a welldefined purely exponential decay for special narrowed bath initial conditions in the presence of a strong applied magnetic field this is in contrast to the typical case where spinbath dynamics have been investigated in the nonmarkovian limit giving superexponential or powerlaw decay of correlation functions we calculate the relevant decoherence time t_2 explicitly for freeinduction decay and find a simple expression with dependence on bath polarization magnetic field the shape of the electron wave function dimensionality total nuclear spin i and isotopic concentration for experimentally relevant heteronuclear spin systems | [['we', 'show', 'that', 'the', 'coherence', 'of', 'an', 'electron', 'spin', 'interacting', 'with', 'a', 'bath', 'of', 'nuclear', 'spins', 'can', 'exhibit', 'a', 'welldefined', 'purely', 'exponential', 'decay', 'for', 'special', 'narrowed', 'bath', 'initial', 'conditions', 'in', 'the', 'presence', 'of', 'a', 'strong', 'applied', 'magnetic', 'field', 'this', 'is', 'in', 'contrast', 'to', 'the', 'typical', 'case', 'where', 'spinbath', 'dynamics', 'have', 'been', 'investigated', 'in', 'the', 'nonmarkovian', 'limit', 'giving', 'superexponential', 'or', 'powerlaw', 'decay', 'of', 'correlation', 'functions', 'we', 'calculate', 'the', 'relevant', 'decoherence', 'time', 't_2', 'explicitly', 'for', 'freeinduction', 'decay', 'and', 'find', 'a', 'simple', 'expression', 'with', 'dependence', 'on', 'bath', 'polarization', 'magnetic', 'field', 'the', 'shape', 'of', 'the', 'electron', 'wave', 'function', 'dimensionality', 'total', 'nuclear', 'spin', 'i', 'and', 'isotopic', 'concentration', 'for', 'experimentally', 'relevant', 'heteronuclear', 'spin', 'systems']] | [-0.13380980564074385, 0.2455429431123506, -0.06203543291323715, 0.10261446748497999, 0.02068430911404667, -0.156292546281798, -0.01849442519920154, 0.38358971252347585, -0.22518991856594328, -0.24564786858563484, 0.005556920490494964, -0.26439190438853716, -0.048094283131865305, 0.19051230241570416, 0.08841018906052879, 0.041599341478474716, 0.007132253143936396, 0.06124583146258913, -0.09462338192086597, -0.1836744640000958, 0.2851347523283039, 0.02472890004584635, 0.26030225635299253, 0.09751811089356327, 0.08258818602189422, 0.05549813592396849, 0.08071126106747047, 0.003357335653466483, -0.14460957817189207, 0.011614860370712079, 0.19337698810354428, 0.005005041398194239, 0.18657303974032402, -0.4511788578669506, -0.20296935103424066, 0.12028816057675241, 0.17344728872800866, 0.1724709832644159, -0.07500819840007117, -0.273512556107663, -0.04896928958111891, -0.19160018796079653, -0.13577650478691794, -0.1160293250836225, 0.08327010081416962, 0.031788742290464814, -0.2912752221821359, 0.16081118659564742, 0.08208540795991819, 0.07370433482531182, -0.06688860196327032, -0.08577461687296077, 0.020644121689083812, 0.0851987657299981, 0.07219490558297063, 0.016645843684845778, 0.21494209681016704, -0.12104205550686284, -0.0837923421231271, 0.29721267033299364, -0.12935676674910443, -0.18210824079708093, 0.18722715666000214, -0.22279032232688256, -0.11909921177775012, 0.16177848082022844, 0.15424085965518047, 0.11104525379940039, -0.1688183570082334, 0.10079484731196081, -0.003562571092684434, 0.19322730012720934, 0.04598347652117135, 0.11771934147044602, 0.18914348591567465, 0.1553423887105762, 0.04971219835742549, 0.18831005140587134, -0.10899760560951782, -0.11033985189472635, -0.2553199953917, -0.1252735033372624, -0.21032355025548627, 0.15093646420171825, -0.08783839310113022, -0.14158824372915896, 0.4223319192339356, 0.09894669772108534, 0.1761365315825161, 0.006767618672003866, 0.23457749654469942, 0.17539334891329486, 0.044494183453800226, 0.03816992431765592, 0.23666368403334032, 0.20670795174858844, 0.06500721076089475, -0.37152327327661355, 0.058551190019999116, -0.03636040061246604] |
710.3763 | Supernova rates from the Southern inTermediate Redshift ESO Supernova
Search (STRESS) | To measure the supernova (SN) rates at intermediate redshift we performed the
Southern inTermediate Redshift ESO Supernova Search (STRESS). Unlike most of
the current high redshift SN searches, this survey was specifically designed to
estimate the rate for both type Ia and core collapse (CC) SNe. We counted the
SNe discovered in a selected galaxy sample measuring SN rate per unit blue band
luminosity. Our analysis is based on a sample of ~43000 galaxies and on 25
spectroscopically confirmed SNe plus 64 selected SN candidates. Our approach is
aimed at obtaining a direct comparison of the high redshift and local rates and
at investigating the dependence of the rates on specific galaxy properties,
most notably their colour. The type Ia SN rate, at mean redshift z=0.3, amounts
to 0.22^{+0.10+0.16}_{-0.08 -0.14} h_{70}^2 SNu, while the CC SN rate, at
z=0.21, is 0.82^{+0.31 +0.30}_{-0.24 -0.26} h_{70}^2 SNu. The quoted errors are
the statistical and systematic uncertainties. With respect to local value, the
CC SN rate at z=0.2 is higher by a factor of ~2 already at redshift, whereas
the type Ia SN rate remains almost constant. This implies that a significant
fraction of SN Ia progenitors has a lifetime longer than 2-3 Gyr. We also
measured the SN rates in the red and blue galaxies and found that the SN Ia
rate seems to be constant in galaxies of different colour, whereas the CC SN
rate seems to peak in blue galaxies, as in the local Universe. SN rates per
unit volume were found to be consistent with other measurements showing a
steeper evolution with redshift for CC SNe with respect to SNe Ia. Finally we
have exploited the link between star formation (SF) and SN rates to predict the
evolutionary behaviour of the SN rates and compare it with the path indicated
by observations.
| astro-ph | to measure the supernova sn rates at intermediate redshift we performed the southern intermediate redshift eso supernova search stress unlike most of the current high redshift sn searches this survey was specifically designed to estimate the rate for both type ia and core collapse cc sne we counted the sne discovered in a selected galaxy sample measuring sn rate per unit blue band luminosity our analysis is based on a sample of 43000 galaxies and on 25 spectroscopically confirmed sne plus 64 selected sn candidates our approach is aimed at obtaining a direct comparison of the high redshift and local rates and at investigating the dependence of the rates on specific galaxy properties most notably their colour the type ia sn rate at mean redshift z03 amounts to 022010016_008 014 h_702 snu while the cc sn rate at z021 is 082031 030_024 026 h_702 snu the quoted errors are the statistical and systematic uncertainties with respect to local value the cc sn rate at z02 is higher by a factor of 2 already at redshift whereas the type ia sn rate remains almost constant this implies that a significant fraction of sn ia progenitors has a lifetime longer than 23 gyr we also measured the sn rates in the red and blue galaxies and found that the sn ia rate seems to be constant in galaxies of different colour whereas the cc sn rate seems to peak in blue galaxies as in the local universe sn rates per unit volume were found to be consistent with other measurements showing a steeper evolution with redshift for cc sne with respect to sne ia finally we have exploited the link between star formation sf and sn rates to predict the evolutionary behaviour of the sn rates and compare it with the path indicated by observations | [['to', 'measure', 'the', 'supernova', 'sn', 'rates', 'at', 'intermediate', 'redshift', 'we', 'performed', 'the', 'southern', 'intermediate', 'redshift', 'eso', 'supernova', 'search', 'stress', 'unlike', 'most', 'of', 'the', 'current', 'high', 'redshift', 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710.3764 | Design of a Distributed Reachability Algorithm for Analysis of Linear
Hybrid Automata | This paper presents the design of a novel distributed algorithm d-IRA for the
reachability analysis of linear hybrid automata. Recent work on iterative
relaxation abstraction (IRA) is leveraged to distribute the computational
problem among multiple computational nodes in a non-redundant manner by
performing careful infeasibility analysis of linear programs corresponding to
spurious counterexamples. The d-IRA algorithm is resistant to failure of
multiple computational nodes. The experimental results provide promising
evidence for the possible successful application of this technique.
| cs.LO | this paper presents the design of a novel distributed algorithm dira for the reachability analysis of linear hybrid automata recent work on iterative relaxation abstraction ira is leveraged to distribute the computational problem among multiple computational nodes in a nonredundant manner by performing careful infeasibility analysis of linear programs corresponding to spurious counterexamples the dira algorithm is resistant to failure of multiple computational nodes the experimental results provide promising evidence for the possible successful application of this technique | [['this', 'paper', 'presents', 'the', 'design', 'of', 'a', 'novel', 'distributed', 'algorithm', 'dira', 'for', 'the', 'reachability', 'analysis', 'of', 'linear', 'hybrid', 'automata', 'recent', 'work', 'on', 'iterative', 'relaxation', 'abstraction', 'ira', 'is', 'leveraged', 'to', 'distribute', 'the', 'computational', 'problem', 'among', 'multiple', 'computational', 'nodes', 'in', 'a', 'nonredundant', 'manner', 'by', 'performing', 'careful', 'infeasibility', 'analysis', 'of', 'linear', 'programs', 'corresponding', 'to', 'spurious', 'counterexamples', 'the', 'dira', 'algorithm', 'is', 'resistant', 'to', 'failure', 'of', 'multiple', 'computational', 'nodes', 'the', 'experimental', 'results', 'provide', 'promising', 'evidence', 'for', 'the', 'possible', 'successful', 'application', 'of', 'this', 'technique']] | [-0.15460375402098855, -0.023352202287731834, -0.08326893058629373, 0.04118431775751583, -0.1272869703706163, -0.18215460896205443, 0.14098196300134683, 0.35438558210929233, -0.300695139884901, -0.327394388234004, 0.07531248819148646, -0.21903305863722777, -0.2038100313466902, 0.19442785958735606, -0.0958843362183334, 0.17168636377065036, 0.11468139189916353, -0.04487488769518677, -0.018155045300656453, -0.2719065764656243, 0.23806037790983772, 0.10577835624989791, 0.298751194579288, 0.022909144847056806, 0.07538793355417557, 0.03122963017384068, -0.06328401610274643, 0.022445396860488333, -0.07366169244946483, 0.19607159601470742, 0.36168027939036107, 0.2210225473719243, 0.36436765263669, -0.438384954411632, -0.15783885966401356, 0.09399507578778774, 0.1444019869519159, 0.15689203715644395, -0.0608332952654634, -0.23400520408848444, 0.13053021005665263, -0.1489767985394559, -0.08107896703773011, -0.12640998144753468, -0.04245039580676418, -0.021258264266623136, -0.2784211306761091, 0.04055354642108656, 0.06759631670772648, 0.05381645766707758, -0.008856375068903733, -0.11172953467720594, 0.07238108683855106, 0.0779374354184629, 0.011576372515171384, 0.004057916161866906, 0.08329431374724476, -0.017040577066393617, -0.20984287263873297, 0.3284858861842599, 0.033054653459634535, -0.16109707228427467, 0.20171239530930343, 0.04059409919099357, -0.22977257278174734, 0.17991436354051799, 0.21350365584172928, 0.13023661490147695, -0.15480742327725658, 0.03907252892326468, -0.04700687118113423, 0.16291153835108838, 0.04057533687685067, 0.03721700783054798, 0.14159311901312321, 0.24295381443479505, 0.11295210433980593, 0.19067502718266602, -0.02076815950194708, -0.07343553650291422, -0.26424948526218006, -0.1561070765631321, -0.1766360076562239, -0.04013304648479112, -0.08803436855594508, -0.1595836597888802, 0.3862410898392017, 0.18310295291340503, 0.12708626937670395, 0.13913299331966883, 0.3823504182868279, 0.06952682754192023, 0.0380970333249141, 0.08197637568586148, 0.1547133133460123, 0.08890683514674982, 0.12363597001426686, -0.25313128963805354, 0.10961151681392668, 0.05884048195842367] |
710.3765 | Determinants of rational knots | We study the Fox coloring invariants of rational knots. We express the
propagation of the colors down the twists of these knots and ultimately the
determinant of them with the help of finite increasing sequences whose terms of
even order are even and whose terms of odd order are odd.
| math.GT math.CO | we study the fox coloring invariants of rational knots we express the propagation of the colors down the twists of these knots and ultimately the determinant of them with the help of finite increasing sequences whose terms of even order are even and whose terms of odd order are odd | [['we', 'study', 'the', 'fox', 'coloring', 'invariants', 'of', 'rational', 'knots', 'we', 'express', 'the', 'propagation', 'of', 'the', 'colors', 'down', 'the', 'twists', 'of', 'these', 'knots', 'and', 'ultimately', 'the', 'determinant', 'of', 'them', 'with', 'the', 'help', 'of', 'finite', 'increasing', 'sequences', 'whose', 'terms', 'of', 'even', 'order', 'are', 'even', 'and', 'whose', 'terms', 'of', 'odd', 'order', 'are', 'odd']] | [-0.2420514215528965, 0.16963119838386775, -0.06197957668453455, 0.0820961932092905, -0.05969483099877834, -0.092950926644844, 0.02171517925802618, 0.34460729867219925, -0.2680847936868668, -0.3754019112884998, 0.12234180657193065, -0.2827858216315508, -0.1558594772964716, 0.1087723577208817, -0.03824322309345007, 0.022867030054330825, 0.02465296171605587, 0.08265566032379866, -0.06890020714141429, -0.33276440102607013, 0.34953844210132956, -0.06462274007499218, 0.11557446129620075, 0.08321342702955008, 0.06820633185096085, 0.0030181167833507063, -0.07162922855466604, 0.019707219218835236, -0.12850555394776164, 0.17759545624256134, 0.23664650157094003, 0.023982520587742327, 0.163023149529472, -0.4207330806553364, -0.12426561634987593, 0.19946052849292756, 0.18708259640261532, 0.033606480658054355, 0.060145817450247704, -0.2259753042832017, 0.1321503883600235, -0.16556451596319677, -0.18855447977781295, -0.07637006560340524, 0.024255008921027183, 0.13296763777267187, -0.20209285877645017, -0.006233524959534407, 0.1047583219408989, 0.1021631881967187, 0.013952849199995399, -0.1312413394637406, -0.04514498319476843, 0.18832547473721206, 0.07528500001877546, 0.032276874012313786, -0.002557207997888327, -0.20910179330036044, -0.12339330270886421, 0.3966134722530842, -0.007878149587195366, -0.1823397508636117, 0.1553148900717497, -0.16591490345250348, -0.10179734844714403, 0.18761093858629466, 0.09136970281600952, 0.17384674616158008, 0.0023111587297171355, 0.07361063711112364, -0.07310506202280521, 0.08267296753358096, 0.1439616672322154, 0.053742072698660194, 0.1813044410943985, -0.015157492123544216, 0.016383007522672414, 0.17542558189481497, -0.01936088909918908, -0.03433501452207565, -0.33278426725417376, -0.22193637797608973, -0.11927397467195988, 0.06512286260724068, -0.16829445203708018, -0.19555920876562596, 0.47721581637859345, 0.09419011292979121, 0.1412635832093656, 0.15821739837527274, 0.23710417984053492, 0.152580958455801, 0.08138048461871222, 0.0546126232133247, 0.11042917290702463, 0.16986930809915066, -0.04138061099685728, -0.22648173723369835, 0.06759968633763493, 0.14096029972657562] |
710.3766 | Equivariant $K$-theory of quaternionic flag manifolds | We consider the manifold $Fl_n(\mathbb{H})=Sp(n)/Sp(1)^n$ of all complete
flags in $\mathbb{H}^n$, where $\mathbb{H}$ is the skew-field of quaternions.
We study its equivariant $K$-theory rings with respect to the action of two
groups: $Sp(1)^n$ and a certain canonical subgroup $T:=(S^1)^n\subset Sp(1)^n$
(a maximal torus). For the first group action we obtain a
Goresky-Kottwitz-MacPherson type description. For the second one, we describe
the ring $K_T(Fl_n(\mathbb{H}))$ as a subring of $K_T(Sp(n)/T)$. This ring is
well known, since $Sp(n)/T$ is a complex flag variety.
| math.AT | we consider the manifold fl_nmathbbhspnsp1n of all complete flags in mathbbhn where mathbbh is the skewfield of quaternions we study its equivariant ktheory rings with respect to the action of two groups sp1n and a certain canonical subgroup ts1nsubset sp1n a maximal torus for the first group action we obtain a goreskykottwitzmacpherson type description for the second one we describe the ring k_tfl_nmathbbh as a subring of k_tspnt this ring is well known since spnt is a complex flag variety | [['we', 'consider', 'the', 'manifold', 'fl_nmathbbhspnsp1n', 'of', 'all', 'complete', 'flags', 'in', 'mathbbhn', 'where', 'mathbbh', 'is', 'the', 'skewfield', 'of', 'quaternions', 'we', 'study', 'its', 'equivariant', 'ktheory', 'rings', 'with', 'respect', 'to', 'the', 'action', 'of', 'two', 'groups', 'sp1n', 'and', 'a', 'certain', 'canonical', 'subgroup', 'ts1nsubset', 'sp1n', 'a', 'maximal', 'torus', 'for', 'the', 'first', 'group', 'action', 'we', 'obtain', 'a', 'goreskykottwitzmacpherson', 'type', 'description', 'for', 'the', 'second', 'one', 'we', 'describe', 'the', 'ring', 'k_tfl_nmathbbh', 'as', 'a', 'subring', 'of', 'k_tspnt', 'this', 'ring', 'is', 'well', 'known', 'since', 'spnt', 'is', 'a', 'complex', 'flag', 'variety']] | [-0.23093576572835445, 0.009531767790516217, -0.06773947785298029, 0.04990528492024168, -0.10795662391930819, -0.09416836908708016, -0.04515712895275404, 0.35557122467706603, -0.3273255518637598, -0.17220516425014162, 0.1593697338970378, -0.22111053589188184, -0.15473649663229783, 0.1965466113264362, -0.1517753080651164, -0.07688652974941457, 0.015359391539047161, 0.16568861889342468, -0.10380479632566372, -0.23777106847109583, 0.4094627742966016, -0.044760471768677236, 0.18406554660759866, -0.004374935701489449, 0.11582857332192362, 0.011042251357187827, -0.020797088518738748, -0.01811799972007672, -0.13717173569525282, 0.12821115187369286, 0.2364065151537458, 0.05886100685844819, 0.18966862368086973, -0.34952314170698323, -0.13087088601042826, 0.21728406846678505, 0.11265642901261648, 0.041514600329101085, -0.004707591558496157, -0.24898936002204816, 0.09994116611138452, -0.22301994025707245, -0.1793947063634793, -0.06977323482433954, 0.08611495571210981, 0.0028183500934392215, -0.23856588720654448, -0.036167029198259114, 0.07776540690567345, 0.14481081537902354, -0.07404726651341965, -0.04893933850650986, -0.03091873349311451, 0.11425502355520924, -0.03445603844244033, 0.051507031756142775, 0.11230809542040031, -0.07023529479590555, -0.12082770689080159, 0.46572996084888774, -0.08477596273645759, -0.21749702540536722, 0.11012967225785057, -0.2207057511433959, -0.1578699683646361, 0.11252969462424517, 0.08391938033203283, 0.1980367428374787, -0.044554243100186186, 0.16376757949513074, -0.18425397099306187, 0.05524186190528174, 0.034930129557227095, 0.003040765138963858, 0.11926443662494421, 0.12433140767427782, 0.08966741145976509, 0.1553156020740668, 0.0016174510369698207, -0.038767316980908316, -0.35418178121248883, -0.2521158097932736, -0.1040904003366207, 0.16261779045065244, -0.07873321710755893, -0.1652784079965204, 0.4490003729363283, 0.024497581850737332, 0.21274335047851006, 0.09172489439719357, 0.2230709149191777, 0.03853589160833508, 0.06171296993270516, 0.03233425068979462, 0.10353860340391596, 0.20801737301051618, -0.06596508675720543, -0.15857922372447017, -0.07731301043803493, 0.200493406491975] |
710.3767 | Magnetism and structure of LixCoO2 and comparison to NaxCoO2 | The magnetic properties and structure of LixCoO2 for x between 0.5 and 1.0
are reported. Co4+ is found to be high-spin in LixCoO2 for x between 0.94 and
1.0 and low-spin for x between 0.50 and 0.78. Weak antiferromagnetic coupling
is observed, increasing in strength as more Co4+ is introduced. At an x value
of about 0.65, the temperature-independent contribution to the magnetic
susceptibility and the electronic contribution to the specific heat are
largest. Neutron diffraction analysis reveals that the lithium oxide layer
expands perpendicular to the basal plane and the Li ions displace from their
ideal octahedral sites with decreasing x. A comparison of the structures of the
NaxCoO2 and LixCoO2 systems reveals that the CoO2 layer changes substantially
with alkali content in the former but is relatively rigid in the latter.
Further, the CoO6 octahedra in LixCoO2 are less distorted than those in
NaxCoO2. We postulate that these structural differences strongly influence the
physical properties in the two systems.
| cond-mat.str-el | the magnetic properties and structure of lixcoo2 for x between 05 and 10 are reported co4 is found to be highspin in lixcoo2 for x between 094 and 10 and lowspin for x between 050 and 078 weak antiferromagnetic coupling is observed increasing in strength as more co4 is introduced at an x value of about 065 the temperatureindependent contribution to the magnetic susceptibility and the electronic contribution to the specific heat are largest neutron diffraction analysis reveals that the lithium oxide layer expands perpendicular to the basal plane and the li ions displace from their ideal octahedral sites with decreasing x a comparison of the structures of the naxcoo2 and lixcoo2 systems reveals that the coo2 layer changes substantially with alkali content in the former but is relatively rigid in the latter further the coo6 octahedra in lixcoo2 are less distorted than those in naxcoo2 we postulate that these structural differences strongly influence the physical properties in the two systems | [['the', 'magnetic', 'properties', 'and', 'structure', 'of', 'lixcoo2', 'for', 'x', 'between', '05', 'and', '10', 'are', 'reported', 'co4', 'is', 'found', 'to', 'be', 'highspin', 'in', 'lixcoo2', 'for', 'x', 'between', '094', 'and', '10', 'and', 'lowspin', 'for', 'x', 'between', '050', 'and', '078', 'weak', 'antiferromagnetic', 'coupling', 'is', 'observed', 'increasing', 'in', 'strength', 'as', 'more', 'co4', 'is', 'introduced', 'at', 'an', 'x', 'value', 'of', 'about', '065', 'the', 'temperatureindependent', 'contribution', 'to', 'the', 'magnetic', 'susceptibility', 'and', 'the', 'electronic', 'contribution', 'to', 'the', 'specific', 'heat', 'are', 'largest', 'neutron', 'diffraction', 'analysis', 'reveals', 'that', 'the', 'lithium', 'oxide', 'layer', 'expands', 'perpendicular', 'to', 'the', 'basal', 'plane', 'and', 'the', 'li', 'ions', 'displace', 'from', 'their', 'ideal', 'octahedral', 'sites', 'with', 'decreasing', 'x', 'a', 'comparison', 'of', 'the', 'structures', 'of', 'the', 'naxcoo2', 'and', 'lixcoo2', 'systems', 'reveals', 'that', 'the', 'coo2', 'layer', 'changes', 'substantially', 'with', 'alkali', 'content', 'in', 'the', 'former', 'but', 'is', 'relatively', 'rigid', 'in', 'the', 'latter', 'further', 'the', 'coo6', 'octahedra', 'in', 'lixcoo2', 'are', 'less', 'distorted', 'than', 'those', 'in', 'naxcoo2', 'we', 'postulate', 'that', 'these', 'structural', 'differences', 'strongly', 'influence', 'the', 'physical', 'properties', 'in', 'the', 'two', 'systems']] | [-0.1350407349531429, 0.20031578311639164, 0.022583672146295537, 0.016063801027394783, -0.011937680386689416, -0.11265070312685385, 0.08934882084364708, 0.4235037956271112, -0.27514433443129804, -0.3101024665806142, 0.01342764612278606, -0.38745075996722217, -0.07686310593524705, 0.1609305634122828, 0.03384351824346629, -0.06347690501367104, -0.032363253969537174, -0.005821274431503337, -0.14414997781939248, -0.20598991333162817, 0.26180861315904014, 0.039292346182863536, 0.3016910206595933, 0.0589897436659598, 0.012902388828575195, -0.04257229282722721, 0.1133565012718441, 0.029117528858207026, -0.13081808647017756, 0.11077338531832985, 0.23328933314136838, -0.04663152939217709, 0.17427458357852624, -0.3852123873516547, -0.1640574101659452, 0.010898730280861166, 0.11090607008381938, 0.06475669843208345, -0.050955195201619424, -0.240995202329218, 0.11170676489207339, -0.11210472277518917, -0.11028610480268145, -0.04088047399873967, 0.04136197464121216, 0.016417083911805973, -0.23621151768002277, 0.13413466603722227, 0.08282121074218188, 0.12048342352247109, -0.13453816210775874, -0.18394099576225192, -0.13763659140594037, 0.06943199794554378, 0.06661749622489539, 0.1160161109317256, 0.14883027403031168, -0.08070800628047436, -0.014337870162211774, 0.38821278235394946, -0.028993596683378527, -0.10725486005644852, 0.20267372711717804, -0.2280633064877728, -0.10375893409855617, 0.1887672386560242, 0.07223678743271504, 0.10809200927156012, -0.11506040850603629, 0.03281663950121967, 0.0187206503252574, 0.2412203455008335, 0.04796532788516387, 0.057533718137972936, 0.2000952667545134, 0.17095688317456972, 0.033826871775090694, 0.14295699275518126, -0.13268671186368983, -0.06788832960384232, -0.16694350027253632, -0.17775389557901006, -0.13171484938429334, 0.05333655495782273, -0.12354805382902832, -0.1453383386869747, 0.31811785600755527, 0.10785206771603574, 0.2150928807280009, -0.08209929808031374, 0.19684878019948623, 0.03443971459456627, 0.053829879372710394, 0.03030654606958909, 0.2810091512300861, 0.2049564196444724, 0.12527434554049363, -0.25041362651774185, 0.13420326715647618, 0.0020019704857783286] |
710.3768 | Atom Interferometry tests of the isotropy of post-Newtonian gravity | We present a test of the local Lorentz invariance of post-Newtonian gravity
by monitoring Earth's gravity with a Mach-Zehnder atom interferometer that
features a resolution of about 8*10^(-9)g/Hz^(1/2), the highest reported thus
far. Expressed within the standard model extension (SME) or Nordtvedt's
anisotropic universe model, the analysis limits four coefficients describing
anisotropic gravity at the ppb level and three others, for the first time, at
the 10ppm level. Using the SME we explicitly demonstrate how the experiment
actually compares the isotropy of gravity and electromagnetism.
| gr-qc physics.atom-ph | we present a test of the local lorentz invariance of postnewtonian gravity by monitoring earths gravity with a machzehnder atom interferometer that features a resolution of about 8109ghz12 the highest reported thus far expressed within the standard model extension sme or nordtvedts anisotropic universe model the analysis limits four coefficients describing anisotropic gravity at the ppb level and three others for the first time at the 10ppm level using the sme we explicitly demonstrate how the experiment actually compares the isotropy of gravity and electromagnetism | [['we', 'present', 'a', 'test', 'of', 'the', 'local', 'lorentz', 'invariance', 'of', 'postnewtonian', 'gravity', 'by', 'monitoring', 'earths', 'gravity', 'with', 'a', 'machzehnder', 'atom', 'interferometer', 'that', 'features', 'a', 'resolution', 'of', 'about', '8109ghz12', 'the', 'highest', 'reported', 'thus', 'far', 'expressed', 'within', 'the', 'standard', 'model', 'extension', 'sme', 'or', 'nordtvedts', 'anisotropic', 'universe', 'model', 'the', 'analysis', 'limits', 'four', 'coefficients', 'describing', 'anisotropic', 'gravity', 'at', 'the', 'ppb', 'level', 'and', 'three', 'others', 'for', 'the', 'first', 'time', 'at', 'the', '10ppm', 'level', 'using', 'the', 'sme', 'we', 'explicitly', 'demonstrate', 'how', 'the', 'experiment', 'actually', 'compares', 'the', 'isotropy', 'of', 'gravity', 'and', 'electromagnetism']] | [-0.11840987565691571, 0.10694363408059959, -0.0964207202981574, 0.07880522573860474, -0.04169139907280185, -0.1314703616178987, -0.02072983672449657, 0.3005253376596304, -0.19994885260127035, -0.3467816945659109, 0.04380665945046278, -0.2756177201777337, -0.0924721347555204, 0.15891800012091645, 0.027263066995081055, 0.020840125827466596, 0.0055312872247164505, 0.04679027053875377, -0.07972096731179361, -0.2155004058942109, 0.2827936103006443, 0.16636837838240057, 0.2413907327116972, -0.018786223014782978, 0.16707989551037192, -0.04307222032936357, -0.0347093572638121, 0.04013066047084439, -0.11236611574494451, 0.11230470560889422, 0.1977362014039094, 0.0777565241196608, 0.19157811920775705, -0.42404321759535246, -0.22448942836665783, 0.029886681906295468, 0.06985740695101018, 0.11387691883011217, -0.009875874402540097, -0.3237918165388955, -0.007613735004182321, -0.1959605809407735, -0.1572381967779653, -0.060533842318747415, -0.015476033422557345, -0.0703756808785789, -0.19618048980630126, 0.11207176010539553, 0.022396172862499952, 0.07828600577139071, -0.05762166542236705, -0.09507495188434799, 0.023928945693355727, 0.05226955592845488, 0.05095836490740528, 0.010717100904923471, 0.14880366321563362, -0.14766408709517445, -0.1195271593716321, 0.45917755903687374, -0.17244621135114904, -0.18277807217596256, 0.15417206474209585, -0.23601216343175396, -0.14858507671314908, 0.044927061184769475, 0.13210136718285012, 0.09169302243144667, -0.17785109099314875, 0.12183380949855165, -0.025457929584186478, 0.17771459364119063, 0.12815255582254065, 0.03154919177002038, 0.24577213753665605, 0.14453967216323657, 0.005292741407875915, 0.07000156895380961, -0.10006708054836974, -0.050932253781055294, -0.3965150914547673, -0.14491182937096042, -0.1310453025893454, 0.00677461927919368, -0.1409820474860264, -0.07712530944473951, 0.3975022353950035, 0.20073517475905547, 0.0986488191691418, 0.05022018493913361, 0.31054489348218384, 0.07744169123863509, 0.058466012488646676, 0.04224213085933981, 0.325360361228596, 0.1098075887687639, 0.09007867607456374, -0.25462684313575906, 0.00582547085247485, 0.07353128297030027] |
710.3769 | Exact Wave Solutions to 6D Gauged Chiral Supergravity | We describe a broad class of time-dependent exact wave solutions to 6D gauged
chiral supergravity with two compact dimensions. These 6D solutions are
nontrivial warped generalizations of 4D pp-waves and Kundt class solutions and
describe how a broad class of previously-static compactifications from 6D to 4D
(sourced by two 3-branes) respond to waves moving along one of the
uncompactified directions. Because our methods are generally applicable to any
higher dimensional supergravity they are likely to be of use for finding the
supergravity limit of time-dependent solutions in string theory. The 6D
solutions are interesting in their own right, describing 6D shock waves induced
by high energy particles on the branes, and as descriptions of the near-brane
limit of the transient wavefront arising from a local bubble-nucleation event
on one of the branes, such as might occur if a tension-changing phase
transition were to occur.
| hep-th astro-ph gr-qc | we describe a broad class of timedependent exact wave solutions to 6d gauged chiral supergravity with two compact dimensions these 6d solutions are nontrivial warped generalizations of 4d ppwaves and kundt class solutions and describe how a broad class of previouslystatic compactifications from 6d to 4d sourced by two 3branes respond to waves moving along one of the uncompactified directions because our methods are generally applicable to any higher dimensional supergravity they are likely to be of use for finding the supergravity limit of timedependent solutions in string theory the 6d solutions are interesting in their own right describing 6d shock waves induced by high energy particles on the branes and as descriptions of the nearbrane limit of the transient wavefront arising from a local bubblenucleation event on one of the branes such as might occur if a tensionchanging phase transition were to occur | [['we', 'describe', 'a', 'broad', 'class', 'of', 'timedependent', 'exact', 'wave', 'solutions', 'to', '6d', 'gauged', 'chiral', 'supergravity', 'with', 'two', 'compact', 'dimensions', 'these', '6d', 'solutions', 'are', 'nontrivial', 'warped', 'generalizations', 'of', '4d', 'ppwaves', 'and', 'kundt', 'class', 'solutions', 'and', 'describe', 'how', 'a', 'broad', 'class', 'of', 'previouslystatic', 'compactifications', 'from', '6d', 'to', '4d', 'sourced', 'by', 'two', '3branes', 'respond', 'to', 'waves', 'moving', 'along', 'one', 'of', 'the', 'uncompactified', 'directions', 'because', 'our', 'methods', 'are', 'generally', 'applicable', 'to', 'any', 'higher', 'dimensional', 'supergravity', 'they', 'are', 'likely', 'to', 'be', 'of', 'use', 'for', 'finding', 'the', 'supergravity', 'limit', 'of', 'timedependent', 'solutions', 'in', 'string', 'theory', 'the', '6d', 'solutions', 'are', 'interesting', 'in', 'their', 'own', 'right', 'describing', '6d', 'shock', 'waves', 'induced', 'by', 'high', 'energy', 'particles', 'on', 'the', 'branes', 'and', 'as', 'descriptions', 'of', 'the', 'nearbrane', 'limit', 'of', 'the', 'transient', 'wavefront', 'arising', 'from', 'a', 'local', 'bubblenucleation', 'event', 'on', 'one', 'of', 'the', 'branes', 'such', 'as', 'might', 'occur', 'if', 'a', 'tensionchanging', 'phase', 'transition', 'were', 'to', 'occur']] | [-0.1167968698665762, 0.15185151087828505, 0.010531153743037246, 0.10464120096146641, -0.11519755217620552, -0.15911738231489567, -0.043097869680192594, 0.316413797021673, -0.17978290331379418, -0.2677150574909576, 0.13202488417310876, -0.31063863114309564, -0.1598582175284834, 0.15222115814685822, -0.07598540208853362, 0.02662090328849957, -0.011272379440668655, 0.03458459576277036, -0.1049449775010531, -0.22300923348102772, 0.36768763542542576, -0.03550922574186829, 0.24082915627882934, -0.02420262807101326, 0.09717421874758118, -0.0798218305350583, 0.019317744307967663, 0.04156748170006863, -0.1189721899671139, 0.1258459854379139, 0.2760105583108437, 0.10895230193478121, 0.10884785454936077, -0.48496919009886996, -0.2626940730080323, 0.07659774182633247, 0.19111228713923148, 0.19934194307248795, -0.013826992451278886, -0.3301675800680065, 0.061712444369668065, -0.1507191172797679, -0.19866106523410745, -0.08444434552105852, 0.019979337691067075, -0.008154513465214364, -0.2207592879667957, 0.08203341657768043, 0.003626904027326636, -0.01936175821871254, -0.10250042636327865, -0.03280455785029581, -0.0903437811517301, 0.07879038446937019, 0.16574823756089013, 0.03794191179888874, 0.1068306032725623, -0.19365955138166843, -0.1392514145323141, 0.3860652634946131, -0.059857684627017925, -0.22704960385002984, 0.2140856053365368, -0.13765815231608045, -0.14407854585606658, 0.18077000612261848, 0.15714985815378588, 0.22151632651581732, -0.08919150641345432, 0.15322422271497665, 0.01723008666814282, 0.08791202604426333, 0.13477797025788418, 0.058827461041903624, 0.3058096083687802, 0.08588471079678078, 0.05047491654584801, 0.10314054452259959, -0.04810580407584112, -0.111072763843252, -0.38897482014562884, -0.12422400060303274, -0.09846364515243282, 0.12163788955338942, -0.1341064438043682, -0.21066623354251957, 0.40087940365495817, 0.10427601742156467, 0.1599040821056918, 0.019262670499967858, 0.16669371667396748, 0.08579039255330916, 0.039496709266349565, 0.06296074531831398, 0.2656911125826374, 0.11344668177828769, 0.07330922759957874, -0.17567124448447738, -0.12541415160653038, 0.1478135915650186] |
710.377 | Cohomogeneity one manifolds and selfmaps of nontrivial degree | We construct natural selfmaps of compact cohomgeneity one manifolds with
finite Weyl group and compute their degrees and Lefschetz numbers. On manifolds
with simple cohomology rings this yields in certain cases relations between the
order of the Weyl group and the Euler characteristic of a principal orbit. We
apply our construction to the compact Lie group SU(3) where we extend identity
and transposition to an infinite family of selfmaps of every odd degree. The
compositions of these selfmaps with the power maps realize all possible degrees
of selfmaps of SU(3).
| math.DG math.AT | we construct natural selfmaps of compact cohomgeneity one manifolds with finite weyl group and compute their degrees and lefschetz numbers on manifolds with simple cohomology rings this yields in certain cases relations between the order of the weyl group and the euler characteristic of a principal orbit we apply our construction to the compact lie group su3 where we extend identity and transposition to an infinite family of selfmaps of every odd degree the compositions of these selfmaps with the power maps realize all possible degrees of selfmaps of su3 | [['we', 'construct', 'natural', 'selfmaps', 'of', 'compact', 'cohomgeneity', 'one', 'manifolds', 'with', 'finite', 'weyl', 'group', 'and', 'compute', 'their', 'degrees', 'and', 'lefschetz', 'numbers', 'on', 'manifolds', 'with', 'simple', 'cohomology', 'rings', 'this', 'yields', 'in', 'certain', 'cases', 'relations', 'between', 'the', 'order', 'of', 'the', 'weyl', 'group', 'and', 'the', 'euler', 'characteristic', 'of', 'a', 'principal', 'orbit', 'we', 'apply', 'our', 'construction', 'to', 'the', 'compact', 'lie', 'group', 'su3', 'where', 'we', 'extend', 'identity', 'and', 'transposition', 'to', 'an', 'infinite', 'family', 'of', 'selfmaps', 'of', 'every', 'odd', 'degree', 'the', 'compositions', 'of', 'these', 'selfmaps', 'with', 'the', 'power', 'maps', 'realize', 'all', 'possible', 'degrees', 'of', 'selfmaps', 'of', 'su3']] | [-0.24601736074585592, 0.10415714136419656, -0.0861772596522161, 0.017981224184531425, -0.11090228268144171, -0.08982448372466678, -1.807990117689197e-05, 0.33902486509988816, -0.29453859646187236, -0.21333761921864045, 0.08998723768006509, -0.2704360888868026, -0.13141957927871956, 0.16637395099433286, -0.09196094494689716, -0.024827809627638774, -0.031481284151125825, 0.09639044895014737, -0.15545702465676461, -0.30503770295305577, 0.4417850031632553, -0.06467261383037888, 0.17162671576390107, 0.01391886178864522, 0.15441511084294218, 0.006277132904931401, -0.014112573410018106, -0.03543583920153641, -0.13562797463049045, 0.14429796600630612, 0.27739179118672447, 0.025906456576848633, 0.1406705395391818, -0.37231346434655893, -0.14197354382028268, 0.2060702508001515, 0.07620722373549858, 0.019298041333559522, -0.029928131621550728, -0.26730134479931733, 0.1008909580852376, -0.18698974780289043, -0.2146868711609519, -0.11742901558244831, 0.05025561335967498, 0.028435115043199465, -0.19890584885613638, -0.015022699888586328, 0.1082590174850788, 0.15176366327142113, -0.03772098746339089, -0.08788736789811695, -0.0975834034524565, 0.14447934677029092, -0.00960023474115669, -0.011583378821025404, 0.0843966170050612, -0.043720431623226974, -0.15202935149872235, 0.4195650813785863, -0.0394967733581519, -0.2376427643545223, 0.1783608160023525, -0.21281137952601978, -0.22075708930412036, 0.12540429124210992, 0.11516181560589021, 0.19138713388211942, -0.0020949053159506803, 0.15362179864020076, -0.12321333048258269, 0.0956976660004074, 0.10358565229545819, 0.02078318249517947, 0.1752311914866225, 0.050557119719516694, 0.11767434120947348, 0.15039639256298123, 0.0005826066650994373, -0.04346438056300132, -0.3706959086166841, -0.21009549997999397, -0.09916409972683642, 0.1512476810060567, -0.16261779545908375, -0.18847962212487218, 0.43413043708613747, 0.0760209300984325, 0.19578997708145487, 0.1534654094910856, 0.1997501980931906, 0.04464450766452787, 0.10100073610390589, 0.07810114511469211, 0.08588160536764713, 0.2640472449822707, -0.09044163676732209, -0.16230419460223633, -0.09369129761844204, 0.1985781271732674] |
710.3771 | Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality | We study the properties of Wilson loops in three dimensional non-compact U(1)
gauge theories with global abelian symmetries. We use duality in the continuum
and on the lattice, to argue that close to the critical point between the Higgs
and Coulomb phases, all correlators of the Wilson loops are periodic functions
of the Wilson loop charge, Q. The period depends on the global symmetry of the
theory, which determines the magnetic flux carried by the dual particles. For
single flavour scalar electrodynamics, the emergent period is Q = 1. In the
general case of N complex scalars with a U(1)^{N-1} global symmetry, the period
is Q = N. We also give some arguments why this phenomenon does not generalize
to theories with a full non-abelian SU(N) symmetry, where no periodicity in Q
is expected. Implications for lattice simulations, as well as for physical
systems, such as easy plane antiferromagnets and disordered superfluids, are
noted.
| hep-th hep-lat hep-ph | we study the properties of wilson loops in three dimensional noncompact u1 gauge theories with global abelian symmetries we use duality in the continuum and on the lattice to argue that close to the critical point between the higgs and coulomb phases all correlators of the wilson loops are periodic functions of the wilson loop charge q the period depends on the global symmetry of the theory which determines the magnetic flux carried by the dual particles for single flavour scalar electrodynamics the emergent period is q 1 in the general case of n complex scalars with a u1n1 global symmetry the period is q n we also give some arguments why this phenomenon does not generalize to theories with a full nonabelian sun symmetry where no periodicity in q is expected implications for lattice simulations as well as for physical systems such as easy plane antiferromagnets and disordered superfluids are noted | [['we', 'study', 'the', 'properties', 'of', 'wilson', 'loops', 'in', 'three', 'dimensional', 'noncompact', 'u1', 'gauge', 'theories', 'with', 'global', 'abelian', 'symmetries', 'we', 'use', 'duality', 'in', 'the', 'continuum', 'and', 'on', 'the', 'lattice', 'to', 'argue', 'that', 'close', 'to', 'the', 'critical', 'point', 'between', 'the', 'higgs', 'and', 'coulomb', 'phases', 'all', 'correlators', 'of', 'the', 'wilson', 'loops', 'are', 'periodic', 'functions', 'of', 'the', 'wilson', 'loop', 'charge', 'q', 'the', 'period', 'depends', 'on', 'the', 'global', 'symmetry', 'of', 'the', 'theory', 'which', 'determines', 'the', 'magnetic', 'flux', 'carried', 'by', 'the', 'dual', 'particles', 'for', 'single', 'flavour', 'scalar', 'electrodynamics', 'the', 'emergent', 'period', 'is', 'q', '1', 'in', 'the', 'general', 'case', 'of', 'n', 'complex', 'scalars', 'with', 'a', 'u1n1', 'global', 'symmetry', 'the', 'period', 'is', 'q', 'n', 'we', 'also', 'give', 'some', 'arguments', 'why', 'this', 'phenomenon', 'does', 'not', 'generalize', 'to', 'theories', 'with', 'a', 'full', 'nonabelian', 'sun', 'symmetry', 'where', 'no', 'periodicity', 'in', 'q', 'is', 'expected', 'implications', 'for', 'lattice', 'simulations', 'as', 'well', 'as', 'for', 'physical', 'systems', 'such', 'as', 'easy', 'plane', 'antiferromagnets', 'and', 'disordered', 'superfluids', 'are', 'noted']] | [-0.191973882803914, 0.23714963856036775, -0.05110356888067863, 0.10528725168918945, -0.07050474062807073, -0.14845999270849125, 0.030505371277716842, 0.35859962204765333, -0.1842427811199358, -0.24319697214339517, 0.087519578242025, -0.25247937135741505, -0.15521542446099615, 0.12605273433789416, -0.012265232799109071, 0.04142702095774248, -0.04248953173641654, 0.06403555198401016, -0.11415139535184655, -0.2527087301346718, 0.31611089978526397, -0.02034643440301328, 0.2600388588126455, 0.07183749847402061, 0.04520605337855063, 0.03231353390085707, 0.0283456482240198, -0.005382059160374889, -0.1124003090680593, 0.05467305940385957, 0.17157858594069503, 0.016697192751483892, 0.11360859144540307, -0.4266117949798507, -0.2153875453514047, 0.11381232687639758, 0.16956906293528032, 0.09805248129889246, -0.0005867596130548535, -0.24464494803779466, 0.0637346109448883, -0.13406259404329926, -0.2029256860757749, -0.08836974997048903, 0.038650600745122096, -0.04140610923212463, -0.27251086094551474, 0.05936908256626339, 0.04054001138291297, 0.12724499547345514, -0.04409610107962324, -0.09020263492053154, -0.08270403350501224, 0.09561111544347736, 0.12344854859800666, 0.05428927044206495, 0.09217648672806956, -0.1622417200053525, -0.18112492741477726, 0.4198285963226992, -0.026403954305064155, -0.19606655484590432, 0.16537971793686188, -0.18894040727374026, -0.17226770443238293, 0.09198234650107463, 0.11182404398967169, 0.11926479766751934, -0.06015626451086351, 0.16739524752215643, -0.09520865136169289, 0.14024566156321702, 0.03744028308306282, 0.03602123563599123, 0.26755676879915163, 0.0764911437811526, 0.057668848752080906, 0.11992938521832816, -0.030405687294995386, -0.14088275470605463, -0.3907343036078505, -0.13501155404925444, -0.14354660787074336, 0.10244863923636378, -0.1090189056287368, -0.17135713352380613, 0.36924092207156817, 0.12589548421620797, 0.19828363789432196, 0.008637751801104872, 0.20584407361457124, 0.10310876186351954, 0.08645932835526382, 0.05687056980279617, 0.2274330153911586, 0.17532414074153885, 0.10918682345072739, -0.26039022866844835, -0.09517213395539377, 0.16438040656411382] |
710.3772 | Oscillations in Procyon A: First results from a multi-site campaign | Procyon A is a bright F5IV star in a binary system. Although the distance,
mass and angular diameter of this star are all known with high precision, the
exact evolutionary state is still unclear. Evolutionary tracks with different
ages and different mass fractions of hydrogen in the core pass, within the
errors, through the observed position of Procyon A in the Hertzsprung-Russell
diagram. For more than 15 years several different groups have studied the
solar-like oscillations in Procyon A to determine its evolutionary state.
Although several studies independently detected power excess in the
periodogram, there is no agreement on the actual oscillation frequencies yet.
This is probably due to either insufficient high-quality data (i.e., aliasing)
or due to intrinsic properties of the star (i.e., short mode lifetimes). Now a
spectroscopic multi-site campaign using 10 telescopes world-wide (minimizing
aliasing effects) with a total time span of nearly 4 weeks (increase the
frequency resolution) is performed to identify frequencies in this star and
finally determine its properties and evolutionary state.
| astro-ph | procyon a is a bright f5iv star in a binary system although the distance mass and angular diameter of this star are all known with high precision the exact evolutionary state is still unclear evolutionary tracks with different ages and different mass fractions of hydrogen in the core pass within the errors through the observed position of procyon a in the hertzsprungrussell diagram for more than 15 years several different groups have studied the solarlike oscillations in procyon a to determine its evolutionary state although several studies independently detected power excess in the periodogram there is no agreement on the actual oscillation frequencies yet this is probably due to either insufficient highquality data ie aliasing or due to intrinsic properties of the star ie short mode lifetimes now a spectroscopic multisite campaign using 10 telescopes worldwide minimizing aliasing effects with a total time span of nearly 4 weeks increase the frequency resolution is performed to identify frequencies in this star and finally determine its properties and evolutionary state | [['procyon', 'a', 'is', 'a', 'bright', 'f5iv', 'star', 'in', 'a', 'binary', 'system', 'although', 'the', 'distance', 'mass', 'and', 'angular', 'diameter', 'of', 'this', 'star', 'are', 'all', 'known', 'with', 'high', 'precision', 'the', 'exact', 'evolutionary', 'state', 'is', 'still', 'unclear', 'evolutionary', 'tracks', 'with', 'different', 'ages', 'and', 'different', 'mass', 'fractions', 'of', 'hydrogen', 'in', 'the', 'core', 'pass', 'within', 'the', 'errors', 'through', 'the', 'observed', 'position', 'of', 'procyon', 'a', 'in', 'the', 'hertzsprungrussell', 'diagram', 'for', 'more', 'than', '15', 'years', 'several', 'different', 'groups', 'have', 'studied', 'the', 'solarlike', 'oscillations', 'in', 'procyon', 'a', 'to', 'determine', 'its', 'evolutionary', 'state', 'although', 'several', 'studies', 'independently', 'detected', 'power', 'excess', 'in', 'the', 'periodogram', 'there', 'is', 'no', 'agreement', 'on', 'the', 'actual', 'oscillation', 'frequencies', 'yet', 'this', 'is', 'probably', 'due', 'to', 'either', 'insufficient', 'highquality', 'data', 'ie', 'aliasing', 'or', 'due', 'to', 'intrinsic', 'properties', 'of', 'the', 'star', 'ie', 'short', 'mode', 'lifetimes', 'now', 'a', 'spectroscopic', 'multisite', 'campaign', 'using', '10', 'telescopes', 'worldwide', 'minimizing', 'aliasing', 'effects', 'with', 'a', 'total', 'time', 'span', 'of', 'nearly', '4', 'weeks', 'increase', 'the', 'frequency', 'resolution', 'is', 'performed', 'to', 'identify', 'frequencies', 'in', 'this', 'star', 'and', 'finally', 'determine', 'its', 'properties', 'and', 'evolutionary', 'state']] | [-0.10859313212867693, 0.1562795280060636, -0.06345523752740578, 0.0955273004396523, -0.07525508839938187, -0.08291705090184501, 0.10226430513053954, 0.41346543523187407, -0.20489505553774223, -0.38013191154633763, 0.13603468442720523, -0.2707762692908235, -0.03169993508218866, 0.19474147136942177, -0.05956363360241368, -0.0030627502581595393, 0.14342064355377354, 0.03013843679410255, -0.0669905153761233, -0.2308167275877859, 0.25069153131108485, 0.06901660111097027, 0.19854502449255482, -0.05218057852506102, 0.04666689139286134, -0.08269150713096167, -0.07059911595138828, -0.024409372897673687, -0.14308453003067625, 0.0321884118958131, 0.24637938050231142, 0.13164297861331506, 0.24645253056716063, -0.3536496511437445, -0.19834829902577544, 0.09261088230030912, 0.1647423784357278, 0.07152833233581866, -0.04585602870923788, -0.22031109200994076, 0.06683970483655702, -0.16415987211742444, -0.12827176299548435, 0.02228104522727809, 0.09250500077426345, 0.01164118532916743, -0.2027284735757969, 0.11175904198811797, -0.011606611304464722, 0.10670858807304127, -0.09444154574937315, -0.14024151910813024, -0.05108331688672784, 0.14918684509225905, 0.037593820703238204, 0.05981762109245564, 0.08124420664992607, -0.1078559342467834, -0.07148624623116262, 0.374978121526227, -0.047297242413429, -0.07898714271245781, 0.2304024535236869, -0.20499269425322464, -0.13887059122803594, 0.16895012519026767, 0.1334603388827227, 0.12791748475952597, -0.18186630704509887, -0.022386985670630178, 0.033321801277468664, 0.24293658567988452, 0.08292787394508674, 0.06952583158424809, 0.27873818835656267, 0.17979568473068985, 0.0298202726223177, 0.06824183646132222, -0.193274319153781, -0.07857010894717124, -0.188135889879202, -0.06971562235312213, -0.13475710674573133, 0.058475240961854864, -0.06460337169589699, -0.13875958104799138, 0.40535587817430496, 0.10539205618827285, 0.20851309290769215, 0.03728563744368444, 0.3075926476966835, 0.08230319093811064, 0.09136795004534196, 0.07141966402006453, 0.3168602918782188, 0.1716106564606802, 0.10303539758503526, -0.2714741042645057, 0.08245625781051502, -0.04046552276941474] |
710.3773 | Limitations on intermittent forecasting | Bailey showed that the general pointwise forecasting for stationary and
ergodic time series has a negative solution. However, it is known that for
Markov chains the problem can be solved. Morvai showed that there is a stopping
time sequence $\{\lambda_n\}$ such that
$P(X_{\lambda_n+1}=1|X_0,...,X_{\lambda_n}) $ can be estimated from samples
$(X_0,...,X_{\lambda_n})$ such that the difference between the conditional
probability and the estimate vanishes along these stoppping times for all
stationary and ergodic binary time series. We will show it is not possible to
estimate the above conditional probability along a stopping time sequence for
all stationary and ergodic binary time series in a pointwise sense such that if
the time series turns out to be a Markov chain, the predictor will predict
eventually for all $n$.
| math.PR cs.IT math.IT | bailey showed that the general pointwise forecasting for stationary and ergodic time series has a negative solution however it is known that for markov chains the problem can be solved morvai showed that there is a stopping time sequence lambda_n such that px_lambda_n11x_0x_lambda_n can be estimated from samples x_0x_lambda_n such that the difference between the conditional probability and the estimate vanishes along these stoppping times for all stationary and ergodic binary time series we will show it is not possible to estimate the above conditional probability along a stopping time sequence for all stationary and ergodic binary time series in a pointwise sense such that if the time series turns out to be a markov chain the predictor will predict eventually for all n | [['bailey', 'showed', 'that', 'the', 'general', 'pointwise', 'forecasting', 'for', 'stationary', 'and', 'ergodic', 'time', 'series', 'has', 'a', 'negative', 'solution', 'however', 'it', 'is', 'known', 'that', 'for', 'markov', 'chains', 'the', 'problem', 'can', 'be', 'solved', 'morvai', 'showed', 'that', 'there', 'is', 'a', 'stopping', 'time', 'sequence', 'lambda_n', 'such', 'that', 'px_lambda_n11x_0x_lambda_n', 'can', 'be', 'estimated', 'from', 'samples', 'x_0x_lambda_n', 'such', 'that', 'the', 'difference', 'between', 'the', 'conditional', 'probability', 'and', 'the', 'estimate', 'vanishes', 'along', 'these', 'stoppping', 'times', 'for', 'all', 'stationary', 'and', 'ergodic', 'binary', 'time', 'series', 'we', 'will', 'show', 'it', 'is', 'not', 'possible', 'to', 'estimate', 'the', 'above', 'conditional', 'probability', 'along', 'a', 'stopping', 'time', 'sequence', 'for', 'all', 'stationary', 'and', 'ergodic', 'binary', 'time', 'series', 'in', 'a', 'pointwise', 'sense', 'such', 'that', 'if', 'the', 'time', 'series', 'turns', 'out', 'to', 'be', 'a', 'markov', 'chain', 'the', 'predictor', 'will', 'predict', 'eventually', 'for', 'all', 'n']] | [-0.10028974702969815, 0.1542030101797233, -0.10500029867204527, 0.11599273798346985, -0.015502896683756262, -0.13974863496065762, 0.0742080807161983, 0.42425515766565997, -0.3303255885529021, -0.20848813802876975, 0.16683228964199467, -0.2704756131085257, -0.11651053239183966, 0.2217229918227531, -0.045908970343104254, 0.08110251949595598, 0.09223695937544107, 0.11271679463485877, -0.05088541575678392, -0.2691044619927804, 0.244789296714589, 0.016556587039182582, 0.2364619950686271, -0.012144801043905317, 0.13875340106897055, 0.008145523505906265, -0.016318529263177575, 0.030663663567975164, -0.09867265917625143, -0.00832103066398607, 0.29111944818869234, 0.1495766249174873, 0.3025233892723918, -0.3754550809583937, -0.21264354552452763, 0.17727072569638647, 0.15838334386547406, 0.06967346140493949, -0.013769446364797962, -0.23977639123525782, 0.12923985525267198, -0.1322455594607163, -0.08701555120448272, -0.09043132688772554, 0.07102804645352687, 0.06873549290758092, -0.3435239073005505, 0.06374342603570161, 0.10038518672420954, -0.02843682690678785, -0.04310362315736711, -0.08554290486499667, -0.0038216811294356982, 0.1522750423561471, 0.10464978278808607, 0.05891506434806312, 0.0608730773635519, -0.013753104178855816, -0.08914325051106668, 0.29369000357886155, -0.10788556745586296, -0.20478306041720012, 0.161564930320795, -0.17970249236095698, -0.1798998273559846, 0.15318928488219777, 0.11649606447511664, 0.1307033825200051, -0.15864180465384076, 0.06057136195207325, -0.07509213018541534, 0.1739219536849608, 0.06956742135807872, -0.014194825588007613, 0.20688531938164184, 0.08876997237093746, 0.14682366171327885, 0.11032710603224889, -0.0740463933829839, -0.11997059750962459, -0.29456838060480856, -0.2087726736286034, -0.21474670833267737, 0.10818958579923978, -0.10912886642181548, -0.16759319008948903, 0.3450339180106918, 0.13672682871184255, 0.1860073434577013, 0.16773828600610916, 0.2104800093298157, 0.2041549917232866, -0.02866218741983175, 0.11687059219693766, 0.14188717771321535, 0.07908316662942524, 0.051916340730773905, -0.18279577687887164, 0.1523037426561738, 0.09287617135948191] |
710.3774 | Wave breaking and particle jets in intense inhomogeneous charged beams | This work analyzes the dynamics of inhomogeneous, magnetically focused
high-intensity beams of charged particles. While for homogeneous beams the
whole system oscillates with a single frequency, any inhomogeneity leads to
propagating transverse density waves which eventually result in a singular
density build up, causing wave breaking and jet formation. The theory presented
in this paper allows to analytically calculate the time at which the wave
breaking takes place. It also gives a good estimate of the time necessary for
the beam to relax into the final stationary state consisting of a cold core
surrounded by a halo of highly energetic particles.
| physics.plasm-ph physics.acc-ph physics.flu-dyn | this work analyzes the dynamics of inhomogeneous magnetically focused highintensity beams of charged particles while for homogeneous beams the whole system oscillates with a single frequency any inhomogeneity leads to propagating transverse density waves which eventually result in a singular density build up causing wave breaking and jet formation the theory presented in this paper allows to analytically calculate the time at which the wave breaking takes place it also gives a good estimate of the time necessary for the beam to relax into the final stationary state consisting of a cold core surrounded by a halo of highly energetic particles | [['this', 'work', 'analyzes', 'the', 'dynamics', 'of', 'inhomogeneous', 'magnetically', 'focused', 'highintensity', 'beams', 'of', 'charged', 'particles', 'while', 'for', 'homogeneous', 'beams', 'the', 'whole', 'system', 'oscillates', 'with', 'a', 'single', 'frequency', 'any', 'inhomogeneity', 'leads', 'to', 'propagating', 'transverse', 'density', 'waves', 'which', 'eventually', 'result', 'in', 'a', 'singular', 'density', 'build', 'up', 'causing', 'wave', 'breaking', 'and', 'jet', 'formation', 'the', 'theory', 'presented', 'in', 'this', 'paper', 'allows', 'to', 'analytically', 'calculate', 'the', 'time', 'at', 'which', 'the', 'wave', 'breaking', 'takes', 'place', 'it', 'also', 'gives', 'a', 'good', 'estimate', 'of', 'the', 'time', 'necessary', 'for', 'the', 'beam', 'to', 'relax', 'into', 'the', 'final', 'stationary', 'state', 'consisting', 'of', 'a', 'cold', 'core', 'surrounded', 'by', 'a', 'halo', 'of', 'highly', 'energetic', 'particles']] | [-0.15942840987475276, 0.22494917059556976, -0.09231091033215497, 0.03163306840861419, -0.034538165988898514, -0.09728068160815256, 0.0039854653555401924, 0.317382091508791, -0.2251994426104028, -0.27502601142018335, 0.024296234313417042, -0.2308955994115665, -0.020983972926140015, 0.1361903132188438, 0.06152649512422262, 0.034985160056298766, 0.04796223057489289, -0.00015063593763452355, -0.05242730377905882, -0.15239035597043388, 0.31552484907707806, 0.09808676207834614, 0.2888221070447033, 0.03860763078647675, 0.1307396049251651, 0.028585827141760452, 0.01796388581030919, -0.015615052810989984, -0.12826875358414236, 0.06913537731034552, 0.19827388744284907, 0.05161434042700889, 0.26250136837750526, -0.4847842589537106, -0.23359030643754666, 0.07392185961016186, 0.18012890759809402, 0.15466764961636745, -0.07458016080528239, -0.2951410439344916, 0.011575259611766675, -0.15389538194873545, -0.23435375270074105, -0.023457348789318953, 0.028718204449604053, 0.0235638491513143, -0.2879002686258, 0.10326353978742568, 0.06787858386339601, -0.06084577276343756, -0.06716285158227668, -0.012872387202096974, -0.04401589183385788, 0.04778514365379763, 0.06412663812054487, 0.0774768406322392, 0.14957471893602373, -0.11728833666956513, -0.032486301232452074, 0.3982259422877232, -0.04816259450906205, -0.16079961490070466, 0.16925466668303354, -0.18890734974036713, -0.08028062808299714, 0.22861299154782058, 0.23432544067889305, 0.11391317055532986, -0.12953499932243204, 0.01561279867782654, -0.025721399853234225, 0.17989126685545734, 0.1286203296357157, 0.01867966470308602, 0.2802322989716978, 0.1897248568734855, 0.07720010384852712, 0.18515208426235927, -0.0882260344028104, -0.09310154744082748, -0.30437480092122415, -0.13307090985616393, -0.1292421481950153, 0.053264102982391724, -0.027838991147939734, -0.18245969395531286, 0.4468470132900494, 0.1168714711571684, 0.20389221802280091, -0.0019761570106896728, 0.3079638263616379, 0.11857430891382813, 0.026218331455815546, 0.09371206193867296, 0.24861181217550052, 0.15361565359093543, 0.1314883738650138, -0.21815064815011356, 0.03526610147579986, 0.007432425768105405] |
710.3775 | On classifying processes | We prove several results concerning classifications, based on successive
observations $(X_1,..., X_n)$ of an unknown stationary and ergodic process, for
membership in a given class of processes, such as the class of all finite order
Markov chains.
| math.PR cs.IT math.IT | we prove several results concerning classifications based on successive observations x_1 x_n of an unknown stationary and ergodic process for membership in a given class of processes such as the class of all finite order markov chains | [['we', 'prove', 'several', 'results', 'concerning', 'classifications', 'based', 'on', 'successive', 'observations', 'x_1', 'x_n', 'of', 'an', 'unknown', 'stationary', 'and', 'ergodic', 'process', 'for', 'membership', 'in', 'a', 'given', 'class', 'of', 'processes', 'such', 'as', 'the', 'class', 'of', 'all', 'finite', 'order', 'markov', 'chains']] | [-0.14078348467277513, 0.12651514637361067, -0.020417522412498255, 0.0326862855568293, -0.027288216883568344, -0.08687383801097402, 0.07367040252161992, 0.42661604204693354, -0.31486734969390406, -0.18528539838420377, 0.17603002426629835, -0.2590063797259653, -0.10315928044351372, 0.2178481576360158, -0.0557656719701717, 0.13047769565034556, 0.03727936691831093, 0.08270344774968721, -0.06430743292376802, -0.26859227084630244, 0.34853823241349813, -0.058726591737689196, 0.20512839071956035, -0.054692108259611835, 0.18026145099586732, 0.045881653519196285, -0.07854396158615379, -0.01877909231729604, -0.1807387851027621, 0.06359948222902981, 0.2650042463383461, 0.14229217781433584, 0.30711622853335496, -0.36011509979898865, -0.18521833185710618, 0.18330566262876666, 0.1490504621100184, 0.0505578547867166, -0.03781547890409727, -0.32661592899947556, 0.11700401382168403, -0.150550153534356, -0.1316931586511232, -0.03269796098607618, 0.009379836000703476, 0.13668579064510963, -0.34766042375987444, 0.010086710489279515, 0.17800569755805506, 0.10280038199286808, -0.06931686856960123, -0.1469912814429483, 0.03167246058079842, 0.1419611541252281, 0.0556266841445609, -0.029366440479517787, 0.045375471431258564, -0.040686465749466744, -0.20393748989177718, 0.3098201801547328, -0.06776586527671866, -0.20357069705386419, 0.19938555629798085, -0.14706300923953186, -0.2732178994731323, 0.13550670749533014, 0.16453741883506645, 0.20148546621203423, -0.17638500170731866, 0.09808008533719978, -0.08922523124193824, 0.09667437503466735, 0.01430024133642783, 0.07512337956074122, 0.16535883383019953, 0.10343071116084182, 0.09706137350735229, 0.14538006969677233, -0.05360858934629407, -0.14256604621186852, -0.35977708246256856, -0.14824469301950288, -0.18999318217518865, 0.11796800064149539, -0.1341742397458261, -0.22821239472643748, 0.3215734085344986, 0.11748594216801025, 0.20450791041996028, 0.14903941690116315, 0.1439371813681351, 0.09957085650200276, -0.10840003987824595, 0.07516516667060755, 0.03323054172702738, 0.20761234358557173, -0.029146824271191616, -0.14334239435659066, 0.13996177996080872, 0.1169860782605168] |
710.3776 | Structure and Evolution of the Opacity of Spiral Disks | The opacity of a spiral disk due to dust absorption influences every
measurement we make of it in the UV and optical. Two separate techniques
directly measure the total absorption by dust in the disk: calibrated distant
galaxy counts and overlapping galaxy pairs. The main results from both so far
are a semi-transparent disk with more opaque arms, and a relation between
surface brightness and disk opacity. In the Spitzer era, SED models of spiral
disks add a new perspective on the role of dust in spiral disks. Combined with
the overall opacity from galaxy counts, they yield a typical optical depth of
the dusty ISM clouds: 0.4 that implies a size of ~60 pc. Work on galaxy counts
is currently ongoing on the ACS fields of M51, M101 and M81. Occulting galaxies
offer the possibility of probing the history of disk opacity from higher
redshift pairs. Evolution in disk opacity could influence distance measurements
(SN1a, Tully-Fisher relation). Here, we present first results from
spectroscopically selected occulting pairs in the SDSS. The redshift range for
this sample is limited, but does offer a first insight into disk opacity
evolution as well as a reference for higher redshift measurements.
| astro-ph | the opacity of a spiral disk due to dust absorption influences every measurement we make of it in the uv and optical two separate techniques directly measure the total absorption by dust in the disk calibrated distant galaxy counts and overlapping galaxy pairs the main results from both so far are a semitransparent disk with more opaque arms and a relation between surface brightness and disk opacity in the spitzer era sed models of spiral disks add a new perspective on the role of dust in spiral disks combined with the overall opacity from galaxy counts they yield a typical optical depth of the dusty ism clouds 04 that implies a size of 60 pc work on galaxy counts is currently ongoing on the acs fields of m51 m101 and m81 occulting galaxies offer the possibility of probing the history of disk opacity from higher redshift pairs evolution in disk opacity could influence distance measurements sn1a tullyfisher relation here we present first results from spectroscopically selected occulting pairs in the sdss the redshift range for this sample is limited but does offer a first insight into disk opacity evolution as well as a reference for higher redshift measurements | [['the', 'opacity', 'of', 'a', 'spiral', 'disk', 'due', 'to', 'dust', 'absorption', 'influences', 'every', 'measurement', 'we', 'make', 'of', 'it', 'in', 'the', 'uv', 'and', 'optical', 'two', 'separate', 'techniques', 'directly', 'measure', 'the', 'total', 'absorption', 'by', 'dust', 'in', 'the', 'disk', 'calibrated', 'distant', 'galaxy', 'counts', 'and', 'overlapping', 'galaxy', 'pairs', 'the', 'main', 'results', 'from', 'both', 'so', 'far', 'are', 'a', 'semitransparent', 'disk', 'with', 'more', 'opaque', 'arms', 'and', 'a', 'relation', 'between', 'surface', 'brightness', 'and', 'disk', 'opacity', 'in', 'the', 'spitzer', 'era', 'sed', 'models', 'of', 'spiral', 'disks', 'add', 'a', 'new', 'perspective', 'on', 'the', 'role', 'of', 'dust', 'in', 'spiral', 'disks', 'combined', 'with', 'the', 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710.3777 | A Deterministic Approach to Wireless Relay Networks | We present a deterministic channel model which captures several key features
of multiuser wireless communication. We consider a model for a wireless network
with nodes connected by such deterministic channels, and present an exact
characterization of the end-to-end capacity when there is a single source and a
single destination and an arbitrary number of relay nodes. This result is a
natural generalization of the max-flow min-cut theorem for wireline networks.
Finally to demonstrate the connections between deterministic model and Gaussian
model, we look at two examples: the single-relay channel and the diamond
network. We show that in each of these two examples, the capacity-achieving
scheme in the corresponding deterministic model naturally suggests a scheme in
the Gaussian model that is within 1 bit and 2 bit respectively from cut-set
upper bound, for all values of the channel gains. This is the first part of a
two-part paper; the sequel [1] will focus on the proof of the max-flow min-cut
theorem of a class of deterministic networks of which our model is a special
case.
| cs.IT cs.DM math.IT math.PR | we present a deterministic channel model which captures several key features of multiuser wireless communication we consider a model for a wireless network with nodes connected by such deterministic channels and present an exact characterization of the endtoend capacity when there is a single source and a single destination and an arbitrary number of relay nodes this result is a natural generalization of the maxflow mincut theorem for wireline networks finally to demonstrate the connections between deterministic model and gaussian model we look at two examples the singlerelay channel and the diamond network we show that in each of these two examples the capacityachieving scheme in the corresponding deterministic model naturally suggests a scheme in the gaussian model that is within 1 bit and 2 bit respectively from cutset upper bound for all values of the channel gains this is the first part of a twopart paper the sequel 1 will focus on the proof of the maxflow mincut theorem of a class of deterministic networks of which our model is a special case | [['we', 'present', 'a', 'deterministic', 'channel', 'model', 'which', 'captures', 'several', 'key', 'features', 'of', 'multiuser', 'wireless', 'communication', 'we', 'consider', 'a', 'model', 'for', 'a', 'wireless', 'network', 'with', 'nodes', 'connected', 'by', 'such', 'deterministic', 'channels', 'and', 'present', 'an', 'exact', 'characterization', 'of', 'the', 'endtoend', 'capacity', 'when', 'there', 'is', 'a', 'single', 'source', 'and', 'a', 'single', 'destination', 'and', 'an', 'arbitrary', 'number', 'of', 'relay', 'nodes', 'this', 'result', 'is', 'a', 'natural', 'generalization', 'of', 'the', 'maxflow', 'mincut', 'theorem', 'for', 'wireline', 'networks', 'finally', 'to', 'demonstrate', 'the', 'connections', 'between', 'deterministic', 'model', 'and', 'gaussian', 'model', 'we', 'look', 'at', 'two', 'examples', 'the', 'singlerelay', 'channel', 'and', 'the', 'diamond', 'network', 'we', 'show', 'that', 'in', 'each', 'of', 'these', 'two', 'examples', 'the', 'capacityachieving', 'scheme', 'in', 'the', 'corresponding', 'deterministic', 'model', 'naturally', 'suggests', 'a', 'scheme', 'in', 'the', 'gaussian', 'model', 'that', 'is', 'within', '1', 'bit', 'and', '2', 'bit', 'respectively', 'from', 'cutset', 'upper', 'bound', 'for', 'all', 'values', 'of', 'the', 'channel', 'gains', 'this', 'is', 'the', 'first', 'part', 'of', 'a', 'twopart', 'paper', 'the', 'sequel', '1', 'will', 'focus', 'on', 'the', 'proof', 'of', 'the', 'maxflow', 'mincut', 'theorem', 'of', 'a', 'class', 'of', 'deterministic', 'networks', 'of', 'which', 'our', 'model', 'is', 'a', 'special', 'case']] | [-0.19300258799252668, 0.029461936866790966, -0.02988501224431327, 0.026736661164898253, -0.012781211702238726, -0.23396849677758827, 0.11480347405257367, 0.36109980968785227, -0.29192725368828953, -0.253441484594161, 0.08090731961018374, -0.24572656043649962, -0.21536497813890335, 0.1778436469023876, -0.0963348950628705, 0.050138627555727795, 0.06787637749354987, 0.08400030281052165, -0.005383214396799262, -0.23977802292010264, 0.3246185533493629, 0.04250576209019998, 0.2971184578130086, 0.06401681993955355, 0.10728368468732498, -0.00047472809159047045, -0.005623569666547166, -0.03798777063045351, -0.11946390262290088, 0.11564714741229412, 0.25344044341566574, 0.14321494390438685, 0.280090216713176, -0.39163311042062854, -0.2533216391657961, 0.1324872718655622, 0.12911176411220912, 0.13726235675523807, -0.017960714083298742, -0.24777432598425184, 0.1332728519926019, -0.2115510533719013, -0.02820764852844275, 0.03795745128353565, -0.042967663845047355, 0.023056092669373786, -0.3271189431670582, 0.0231859656371947, 0.11675634589474435, 0.004637001359540214, -0.0357532296945266, -0.0966214904114711, 0.039454791760446785, 0.12646139226803668, -0.033238263476918314, 0.01853579971885801, 0.041739221539177085, -0.13073532772785718, -0.16891567961944418, 0.33975736899890174, -0.03455641296131526, -0.21971423320750566, 0.13346561166322682, -0.06179119780627561, -0.13808446413644687, 0.09877830055801883, 0.21582506803645826, 0.1152358463424761, -0.1662959219589622, 0.05359797272630486, -0.11388650142598426, 0.16042165453920418, 0.045282322240340386, 0.06972870323271758, 0.12959059760317035, 0.21182778643460237, 0.11779442630793857, 0.1983464127567051, -0.10414140621580226, -0.1300974303171381, -0.32492189832973756, -0.15060200540973784, -0.22429198450101112, 0.03004419583500759, -0.1369190280422389, -0.1172444676851918, 0.40557914936858, 0.12921092335948314, 0.1838255498435177, 0.16718998608639699, 0.35471601465224534, 0.08400075279253845, 0.010792326800332501, 0.15541066287417266, 0.18309507497597013, 0.14158793497327501, 0.08278131619063687, -0.12078653555932112, 0.05073252505751263, 0.055804040724540066] |
710.3778 | Critical points of 2d disordered Dirac fermions: the Quantum Hall
Transitions revisited | We propose a resolution of the renormalization group flow for the disordered
Dirac fermion theories describing the quantum Hall transition (QHT) and spin
Quantum Hall transition (SQHT), which previously revealed no perturbative fixed
points at 1-loop and higher. The approach involves carrying out the flow in 2
stages, the first stage utilizing a new form of super spin-charge separation to
flow to gl(1|1)_N and osp(2|2)_{-2N} supercurrent algebra theories, where N is
the number of copies. This leads to the unconventional feature that at the
critical point the exponents depend on the original number of copies N. In the
second stage, additional forms of disorder are incorporated as dimension zero
logarithmic operators, and the resulting actions have explicit forms in terms
of two scalar fields and a symplectic fermion. Under some assumptions, the
multi-fractal exponents are computed with the result q(1-q)/4 and q(1-q)/8 for
the QHT and SQHT respectively, and are within a few percent of numerical
estimates.
| cond-mat.mes-hall cond-mat.dis-nn hep-th math-ph math.MP | we propose a resolution of the renormalization group flow for the disordered dirac fermion theories describing the quantum hall transition qht and spin quantum hall transition sqht which previously revealed no perturbative fixed points at 1loop and higher the approach involves carrying out the flow in 2 stages the first stage utilizing a new form of super spincharge separation to flow to gl11_n and osp22_2n supercurrent algebra theories where n is the number of copies this leads to the unconventional feature that at the critical point the exponents depend on the original number of copies n in the second stage additional forms of disorder are incorporated as dimension zero logarithmic operators and the resulting actions have explicit forms in terms of two scalar fields and a symplectic fermion under some assumptions the multifractal exponents are computed with the result q1q4 and q1q8 for the qht and sqht respectively and are within a few percent of numerical estimates | [['we', 'propose', 'a', 'resolution', 'of', 'the', 'renormalization', 'group', 'flow', 'for', 'the', 'disordered', 'dirac', 'fermion', 'theories', 'describing', 'the', 'quantum', 'hall', 'transition', 'qht', 'and', 'spin', 'quantum', 'hall', 'transition', 'sqht', 'which', 'previously', 'revealed', 'no', 'perturbative', 'fixed', 'points', 'at', '1loop', 'and', 'higher', 'the', 'approach', 'involves', 'carrying', 'out', 'the', 'flow', 'in', '2', 'stages', 'the', 'first', 'stage', 'utilizing', 'a', 'new', 'form', 'of', 'super', 'spincharge', 'separation', 'to', 'flow', 'to', 'gl11_n', 'and', 'osp22_2n', 'supercurrent', 'algebra', 'theories', 'where', 'n', 'is', 'the', 'number', 'of', 'copies', 'this', 'leads', 'to', 'the', 'unconventional', 'feature', 'that', 'at', 'the', 'critical', 'point', 'the', 'exponents', 'depend', 'on', 'the', 'original', 'number', 'of', 'copies', 'n', 'in', 'the', 'second', 'stage', 'additional', 'forms', 'of', 'disorder', 'are', 'incorporated', 'as', 'dimension', 'zero', 'logarithmic', 'operators', 'and', 'the', 'resulting', 'actions', 'have', 'explicit', 'forms', 'in', 'terms', 'of', 'two', 'scalar', 'fields', 'and', 'a', 'symplectic', 'fermion', 'under', 'some', 'assumptions', 'the', 'multifractal', 'exponents', 'are', 'computed', 'with', 'the', 'result', 'q1q4', 'and', 'q1q8', 'for', 'the', 'qht', 'and', 'sqht', 'respectively', 'and', 'are', 'within', 'a', 'few', 'percent', 'of', 'numerical', 'estimates']] | [-0.16551558666686023, 0.18870674292222153, -0.08305446171503075, 0.019515113561152438, -0.02825201274461898, -0.1507876806594188, 0.03427522151835196, 0.2902143230323917, -0.22088844939043709, -0.2705570249848701, 0.07709894709979957, -0.2993844420332583, -0.14395090863960824, 0.1508083351114704, 0.01612603271629637, 0.05454118814307198, -0.014882937324799452, 0.07110890373283255, -0.12222518850866632, -0.25571724094048726, 0.3618827318876154, -0.011634791382509314, 0.24914718107655157, 0.05255963675962347, 0.10656742839860955, -0.007335502351482027, 0.0023761943189634215, 0.006790712277946713, -0.11308981262299032, 0.06998259745830414, 0.23559466228376028, -0.00027944495311019076, 0.2127355912188981, -0.4141230868431283, -0.18754581052785604, 0.059851857150670484, 0.15528408105917324, 0.11161618429202635, -0.021142070672438278, -0.2688616245248495, 0.09716535688018779, -0.1529943753122139, -0.11784139342813028, -0.09119537590509828, -0.007633533383555272, -0.05654245132909102, -0.26955518028485814, 0.09896521744153955, 0.04653471233886271, 0.0908794216010826, -0.031949714815329294, -0.12427940687736849, -0.049643380476125314, 0.1259886904344194, 0.054624712980334084, 0.015988560843896243, 0.12408163767381042, -0.1678241637392347, -0.13309909329974864, 0.3564280118774988, -0.03862389623114437, -0.19326698522119984, 0.16715778252779465, -0.17054515217546545, -0.140025344035083, 0.13831028434161852, 0.1162394855408838, 0.1134237901389818, -0.09087373318114117, 0.11360965069273815, -0.031194984608518533, 0.13098980408116986, 0.07491473818130888, 0.05173091663982037, 0.19169991711471107, 0.10740083365456134, 0.06791497992421652, 0.12777820624885897, -0.06057957617499032, -0.13209095416328828, -0.36264655081664815, -0.1731094198508395, -0.16584837215715179, 0.08747965238038816, -0.13322533109435336, -0.16099537379569465, 0.40184323842564196, 0.12412620094008257, 0.21016700631555388, 0.045854849735536655, 0.22756212276217888, 0.15479485893521605, 0.08586069047747764, 0.07413253583793157, 0.19073165750707, 0.14941321216748868, 0.07911417776341337, -0.23855085004051824, -0.017182545060766677, 0.1448492787723594] |
710.3779 | Testing D-Sequences for their Randomness | This paper examines the randomness of d-sequences, which are decimal
sequences to an arbitrary base. Our motivation is to check their suitability
for application to cryptography, spread-spectrum systems and use as
pseudorandom sequence.
| cs.CR | this paper examines the randomness of dsequences which are decimal sequences to an arbitrary base our motivation is to check their suitability for application to cryptography spreadspectrum systems and use as pseudorandom sequence | [['this', 'paper', 'examines', 'the', 'randomness', 'of', 'dsequences', 'which', 'are', 'decimal', 'sequences', 'to', 'an', 'arbitrary', 'base', 'our', 'motivation', 'is', 'to', 'check', 'their', 'suitability', 'for', 'application', 'to', 'cryptography', 'spreadspectrum', 'systems', 'and', 'use', 'as', 'pseudorandom', 'sequence']] | [-0.16416615281592717, 0.01255311144235417, -0.0702831437952365, 0.08130951282201392, -0.05449392985213886, -0.12384155162638336, 0.06272069365491695, 0.36480568902510585, -0.30020993897183373, -0.29560139255993295, 0.14157632563376066, -0.23909110722668242, -0.19191167411874188, 0.2391614897007292, -0.18762264572874163, 0.11929882381633489, 0.015081201172010466, 0.026957001551195528, -0.02817181410324393, -0.3189312019244288, 0.3567150142043829, 0.09603543933763196, 0.28063757192682137, -0.029603793426896587, 0.049958450282274774, 0.03155977338213812, -0.0271908070779208, -0.1514149314413468, -0.054454923212302456, 0.17145399643446912, 0.31847647442059085, 0.18782662876853437, 0.28465361114252696, -0.3558088191643809, -0.1384665110487152, 0.11390883145345883, 0.15389567812566052, 0.19490144344992144, -0.05778906347625183, -0.23350208602619893, 0.209817866794765, -0.21549557940681663, -0.09769922181625258, -0.10476901881735433, 0.039899463172663345, 0.1228901156873414, -0.3046799900405335, -0.12132680187509819, 0.1175361725812157, 0.1399720816901236, 0.048115628489264935, -0.074384892077157, 0.08877761681056158, 0.23532546712367824, 0.05828591737416432, 0.06062952585687691, 0.0766345064965373, -0.040205307438913165, -0.18014150587700758, 0.39018033100574306, 0.008607423017648134, -0.1938067673507965, 0.20599085126410832, -0.036275464787401936, -0.1703957960037797, 0.03599339012395252, 0.20239892787525826, 0.11432348355910191, -0.13958775997161865, 0.023879223106301983, 0.008899140087040987, 0.22524187409064986, 0.1181207301631344, 0.10500842375878358, 0.2007963472314066, 0.11755723974695712, -0.010345395650030256, 0.19473598694965016, -0.02007581970908425, -0.08239741753222364, -0.26140135033479467, -0.19729993689918157, -0.2364966766626546, 0.060216650112786076, -0.05887993092068372, -0.19758025511647714, 0.34276718076205615, 0.22779755683785136, 0.12727465877083666, 0.11645291132894768, 0.35646170445463876, 0.057721136095510286, -0.021641755550676448, 0.0017494811732886415, 0.10468754917383194, 0.16959922819991002, 0.09800057862461968, -0.1041105019464863, 0.07544720007783988, 0.08390503479732257] |
710.378 | The Galaxy Content of SDSS Clusters and Groups | Imaging data from the Sloan Digital Sky Survey are used to characterize the
population of galaxies in groups and clusters detected with the MaxBCG
algorithm. We investigate the dependence of Brightest Cluster Galaxy (BCG)
luminosity, and the distributions of satellite galaxy luminosity and satellite
color, on cluster properties over the redshift range 0.1 < z < 0.3. The size of
the dataset allows us to make measurements in many bins of cluster richness,
radius and redshift. We find that, within r_200 of clusters with mass above
3e13 h-1 M_sun, the luminosity function of both red and blue satellites is only
weakly dependent on richness. We further find that the shape of the satellite
luminosity function does not depend on cluster-centric distance for magnitudes
brighter than ^{0.25}M_i - 5log(h) < -19. However, the mix of faint red and
blue galaxies changes dramatically. The satellite red fraction is dependent on
cluster-centric distance, galaxy luminosity and cluster mass, and also
increases by ~5% between redshifts 0.28 and 0.2, independent of richness. We
find that BCG luminosity is tightly correlated with cluster richness, scaling
as L_{BCG} ~ M_{200}^{0.3}, and has a Gaussian distribution at fixed richness,
with sigma_{log L} ~ 0.17 for massive clusters. The ratios of BCG luminosity to
total cluster luminosity and characteristic satellite luminosity scale strongly
with cluster richness: in richer systems, BCGs contribute a smaller fraction of
the total light, but are brighter compared to typical satellites. This study
demonstrates the power of cross-correlation techniques for measuring galaxy
populations in purely photometric data.
| astro-ph | imaging data from the sloan digital sky survey are used to characterize the population of galaxies in groups and clusters detected with the maxbcg algorithm we investigate the dependence of brightest cluster galaxy bcg luminosity and the distributions of satellite galaxy luminosity and satellite color on cluster properties over the redshift range 01 z 03 the size of the dataset allows us to make measurements in many bins of cluster richness radius and redshift we find that within r_200 of clusters with mass above 3e13 h1 m_sun the luminosity function of both red and blue satellites is only weakly dependent on richness we further find that the shape of the satellite luminosity function does not depend on clustercentric distance for magnitudes brighter than 025m_i 5logh 19 however the mix of faint red and blue galaxies changes dramatically the satellite red fraction is dependent on clustercentric distance galaxy luminosity and cluster mass and also increases by 5 between redshifts 028 and 02 independent of richness we find that bcg luminosity is tightly correlated with cluster richness scaling as l_bcg m_20003 and has a gaussian distribution at fixed richness with sigma_log l 017 for massive clusters the ratios of bcg luminosity to total cluster luminosity and characteristic satellite luminosity scale strongly with cluster richness in richer systems bcgs contribute a smaller fraction of the total light but are brighter compared to typical satellites this study demonstrates the power of crosscorrelation techniques for measuring galaxy populations in purely photometric data | [['imaging', 'data', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'are', 'used', 'to', 'characterize', 'the', 'population', 'of', 'galaxies', 'in', 'groups', 'and', 'clusters', 'detected', 'with', 'the', 'maxbcg', 'algorithm', 'we', 'investigate', 'the', 'dependence', 'of', 'brightest', 'cluster', 'galaxy', 'bcg', 'luminosity', 'and', 'the', 'distributions', 'of', 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710.3781 | Wireless Network Information Flow | We present an achievable rate for general deterministic relay networks, with
broadcasting at the transmitters and interference at the receivers. In
particular we show that if the optimizing distribution for the
information-theoretic cut-set bound is a product distribution, then we have a
complete characterization of the achievable rates for such networks. For linear
deterministic finite-field models discussed in a companion paper [3], this is
indeed the case, and we have a generalization of the celebrated max-flow
min-cut theorem for such a network.
| cs.IT cs.DM math.IT math.PR | we present an achievable rate for general deterministic relay networks with broadcasting at the transmitters and interference at the receivers in particular we show that if the optimizing distribution for the informationtheoretic cutset bound is a product distribution then we have a complete characterization of the achievable rates for such networks for linear deterministic finitefield models discussed in a companion paper 3 this is indeed the case and we have a generalization of the celebrated maxflow mincut theorem for such a network | [['we', 'present', 'an', 'achievable', 'rate', 'for', 'general', 'deterministic', 'relay', 'networks', 'with', 'broadcasting', 'at', 'the', 'transmitters', 'and', 'interference', 'at', 'the', 'receivers', 'in', 'particular', 'we', 'show', 'that', 'if', 'the', 'optimizing', 'distribution', 'for', 'the', 'informationtheoretic', 'cutset', 'bound', 'is', 'a', 'product', 'distribution', 'then', 'we', 'have', 'a', 'complete', 'characterization', 'of', 'the', 'achievable', 'rates', 'for', 'such', 'networks', 'for', 'linear', 'deterministic', 'finitefield', 'models', 'discussed', 'in', 'a', 'companion', 'paper', '3', 'this', 'is', 'indeed', 'the', 'case', 'and', 'we', 'have', 'a', 'generalization', 'of', 'the', 'celebrated', 'maxflow', 'mincut', 'theorem', 'for', 'such', 'a', 'network']] | [-0.18603048548556683, 0.028118498278561718, -0.0450597207016516, 0.06207032828370291, -0.01383936169511843, -0.19569376485263248, 0.12116767345535819, 0.3710108198816093, -0.2835201312242666, -0.21720820669902535, 0.11442991317442913, -0.2548107097788555, -0.19820959172098013, 0.17674547728014792, -0.09732030934040867, 0.06210261165936727, 0.046890213318941436, 0.0843176287485332, -0.03248979255454842, -0.25816837432453543, 0.3393581946062424, 0.08400958650404723, 0.2938781387467937, 0.08662018568323153, 0.09569480682995807, 0.034579391710505614, 0.040699415578983905, -0.013682520035483942, -0.17431078184860624, 0.08936565704416574, 0.2892151719160898, 0.19661593705234004, 0.2277673039948795, -0.36700859584096, -0.2408311614403274, 0.16093289528450952, 0.14598100155410243, 0.1458372139917096, -0.05379096507989211, -0.21463158215600542, 0.13233714619447, -0.2054247635348541, -0.03910850669632143, 0.027821710685313476, -0.019451267350033472, 0.03735791451138694, -0.36391032832424813, 0.045019611125675645, 0.09844403681359482, 0.039977694226453, -0.023305015388603616, -0.12034168960838919, 0.07114314758105249, 0.1309918198541443, -0.06677917634682139, 0.004239314292534822, 0.01881391418211889, -0.11100488470401615, -0.15480998952918482, 0.3170546569958011, -0.06255830089538926, -0.21697266817819783, 0.138500532408482, -0.10731333256812721, -0.17233597332464032, 0.08658073760750817, 0.2221128308418684, 0.13183179116103708, -0.1527772743010712, 0.04065536451100076, -0.09879867519002135, 0.1190412760053466, 0.10073999778890028, 0.12093542009469962, 0.126696003600955, 0.20548523062692456, 0.16042787119996074, 0.18223735849123177, -0.09265783473440423, -0.08835885999724269, -0.27906687252178064, -0.1459260794153812, -0.24821067392462637, 0.057495087319871456, -0.12070078110406118, -0.07553068383755844, 0.37133273361222363, 0.10066183826250093, 0.12781527086456373, 0.19908405021514472, 0.348268785582083, 0.15389097832631682, 0.006534592986742898, 0.18903911041050422, 0.25359462085747864, 0.14038914557341942, 0.06662237463041959, -0.13686513885849996, 0.07763118360464166, 0.042595164166059254] |
710.3782 | On the localization theorem for F-pure rings | We solve Grothendieck's localization problem for certain class of rings
arising from the tight closure theory. The idea of the proof depends heavily on
the study of the relative version of the Frobenius map.
| math.AC math.AG | we solve grothendiecks localization problem for certain class of rings arising from the tight closure theory the idea of the proof depends heavily on the study of the relative version of the frobenius map | [['we', 'solve', 'grothendiecks', 'localization', 'problem', 'for', 'certain', 'class', 'of', 'rings', 'arising', 'from', 'the', 'tight', 'closure', 'theory', 'the', 'idea', 'of', 'the', 'proof', 'depends', 'heavily', 'on', 'the', 'study', 'of', 'the', 'relative', 'version', 'of', 'the', 'frobenius', 'map']] | [-0.14401972933453233, -0.025211423717658308, -0.07875153389485444, 0.09471664312021698, -0.04306865272605244, -0.08221116763375261, 0.01346312984755701, 0.2185294360251111, -0.3882585313061581, -0.274343067451435, 0.1259837943362072, -0.21571364445502267, -0.1769072842948577, 0.2379129143048297, -0.15201739013633309, -0.02026132365469547, 0.05231194702141425, 0.07382013626834925, -0.1260388654533445, -0.23098344311994665, 0.4597637190565686, 0.018241703948553872, 0.28859356560689564, 0.09551776849719532, 0.09647473846288289, 0.08918394507182871, -0.07989747652455288, -0.007867348106468426, -0.16415987220620187, 0.2153531819657313, 0.18360876730259726, 0.12265520886627629, 0.2482880850209981, -0.4047072385711705, -0.08612012140014592, 0.16146388252758803, 0.07148807178087094, 0.10505534199011676, 0.010055832712061922, -0.27985128442592483, 0.10578303365036845, -0.142483966808547, -0.1261045507648412, -0.0003425188033896334, -0.030685419490670458, 0.049443818786291074, -0.185314405380803, 0.021769025691730136, 0.1398015465693949, 0.08213248758522027, -0.10261077109916027, -0.06445282392258592, 0.051347275867181665, 0.0672460762948236, 0.044237625497557664, 0.0005618837483994224, 0.1331572529503747, -0.12924504466354847, -0.0767873333328787, 0.3791436005164595, -0.05004190639866626, -0.15087508399258642, 0.14941497100517154, -0.11708887025494785, -0.1743609686382115, 0.1109667111407308, 0.12515687274143977, 0.22085652894833507, -0.037881466272451425, 0.19823122566894574, -0.18725430381977382, 0.1327877621002057, 0.052846195450162184, 0.05438877012142364, 0.13429375974844923, 0.12371052337317344, 0.11941353543935453, 0.1693450998761417, -0.06713588077657144, -0.13179175048956976, -0.3277602912310292, -0.12907225638628006, -0.16809816381154472, 0.07898100640843897, -0.09300354831194614, -0.2164845671504736, 0.4355240081272581, 0.12440498589592822, 0.17767597723971396, 0.11966158737264135, 0.2179156163816943, 0.134391082532923, 0.03801581004175686, -0.010439297499354272, 0.1994370766915381, 0.2456296424052733, -0.012121540535350932, -0.23333027684266733, 0.032322666196919536, 0.26225452936555754] |
710.3783 | Search for axion-like particles using a variable baseline photon
regeneration technique | We report the first results of the GammeV experiment, a search for milli-eV
mass particles with axion-like couplings to two photons. The search is
performed using a "light shining through a wall" technique where incident
photons oscillate into new weakly interacting particles that are able to pass
through the wall and subsequently regenerate back into detectable photons. The
oscillation baseline of the apparatus is variable, thus allowing probes of
different values of particle mass. We find no excess of events above background
and are able to constrain the two-photon couplings of possible new scalar
(pseudoscalar) particles to be less than 3.1x10^{-7} GeV^{-1} (3.5x10^{-7}
GeV^{-1}) in the limit of massless particles.
| hep-ex astro-ph gr-qc | we report the first results of the gammev experiment a search for milliev mass particles with axionlike couplings to two photons the search is performed using a light shining through a wall technique where incident photons oscillate into new weakly interacting particles that are able to pass through the wall and subsequently regenerate back into detectable photons the oscillation baseline of the apparatus is variable thus allowing probes of different values of particle mass we find no excess of events above background and are able to constrain the twophoton couplings of possible new scalar pseudoscalar particles to be less than 31x107 gev1 35x107 gev1 in the limit of massless particles | [['we', 'report', 'the', 'first', 'results', 'of', 'the', 'gammev', 'experiment', 'a', 'search', 'for', 'milliev', 'mass', 'particles', 'with', 'axionlike', 'couplings', 'to', 'two', 'photons', 'the', 'search', 'is', 'performed', 'using', 'a', 'light', 'shining', 'through', 'a', 'wall', 'technique', 'where', 'incident', 'photons', 'oscillate', 'into', 'new', 'weakly', 'interacting', 'particles', 'that', 'are', 'able', 'to', 'pass', 'through', 'the', 'wall', 'and', 'subsequently', 'regenerate', 'back', 'into', 'detectable', 'photons', 'the', 'oscillation', 'baseline', 'of', 'the', 'apparatus', 'is', 'variable', 'thus', 'allowing', 'probes', 'of', 'different', 'values', 'of', 'particle', 'mass', 'we', 'find', 'no', 'excess', 'of', 'events', 'above', 'background', 'and', 'are', 'able', 'to', 'constrain', 'the', 'twophoton', 'couplings', 'of', 'possible', 'new', 'scalar', 'pseudoscalar', 'particles', 'to', 'be', 'less', 'than', '31x107', 'gev1', '35x107', 'gev1', 'in', 'the', 'limit', 'of', 'massless', 'particles']] | [-0.07952993276359682, 0.311481920202178, -0.08044156485623469, 0.08647986349268731, -0.10274607237343761, -0.16225106366063383, 0.08345664942806418, 0.35774686978283254, -0.16973287927156144, -0.3636641166765581, 0.006161304363261231, -0.3302954013882713, 0.010956156461245634, 0.19312493176389994, 0.08810054327530617, 0.014459389781669333, 0.07088439876996827, 0.009733884468335997, 0.008608606857226484, -0.19003641377626496, 0.24329590350177815, 0.06339591304686937, 0.1818737855689092, 0.0684361454311081, 0.12198041363788599, -0.004431096218865026, -0.02780429560013793, -0.05596806299872696, -0.10283701905209455, 0.04795670579134656, 0.1428489184647333, 0.07428839266808196, 0.1526684670285745, -0.4231756075391207, -0.15898501728661357, 0.1565322974569757, 0.19438254235481675, 0.08389548358338123, -0.07099713959879327, -0.3301601720804518, 0.020397838428140278, -0.12262138873973692, -0.12770449070852588, -0.015922152198089116, -0.031311732513660734, -0.020507949343035844, -0.3007113710215146, 0.06867343653205105, -0.0249840754205996, -0.054069791331395126, -0.025950823085043918, -0.08463803767649965, -0.024949836455793545, 0.04827433773739771, 0.11166164397092705, 0.03727757295127958, 0.2067567432341589, -0.1424097516997294, -0.11960070786087519, 0.4005970500049774, -0.14206161992055555, -0.16473325413905762, 0.1875529814892533, -0.16157699277709153, -0.0876529940911992, 0.1922129751860418, 0.2063481039424501, 0.13856208307499235, -0.19941953457891942, 0.03197899767599831, -0.019761025427777152, 0.21048133528410373, 0.1051507414239247, 0.04510041372638873, 0.2850998647087677, 0.1780386128505184, 0.026145374808799138, 0.13638803633035754, -0.12198412136428735, -0.04175902435143309, -0.31549731686880644, -0.1492195527090437, -0.13503971230238676, 0.04505290921184827, -0.07771310810904569, -0.0772587381133979, 0.3674550090662458, 0.17805397761773994, 0.206808303326199, 0.0287110270366115, 0.2926693209023638, 0.06154549941420555, 0.07864695332563397, 0.040137782129882414, 0.37404606539586727, 0.14025611406488514, 0.082438228872012, -0.17308035762557253, -0.06330520576289432, 0.0019678261723708023] |
710.3784 | Evolution of Complexity | The evolution of complexity has been a central theme for Biology [2] and
Artificial Life research [1]. It is generally agreed that complexity has
increased in our universe, giving way to life, multi-cellularity, societies,
and systems of higher complexities. However, the mechanisms behind the
complexification and its relation to evolution are not well understood.
Moreover complexification can be used to mean different things in different
contexts. For example, complexification has been interpreted as a process of
diversification between evolving units [2] or as a scaling process related to
the idea of transitions between different levels of complexity [7].
Understanding the difference or overlap between the mechanisms involved in both
situations is mandatory to create acceptable synthetic models of the process,
as is required in Artificial Life research. (...)
| q-bio.PE | the evolution of complexity has been a central theme for biology 2 and artificial life research 1 it is generally agreed that complexity has increased in our universe giving way to life multicellularity societies and systems of higher complexities however the mechanisms behind the complexification and its relation to evolution are not well understood moreover complexification can be used to mean different things in different contexts for example complexification has been interpreted as a process of diversification between evolving units 2 or as a scaling process related to the idea of transitions between different levels of complexity 7 understanding the difference or overlap between the mechanisms involved in both situations is mandatory to create acceptable synthetic models of the process as is required in artificial life research | [['the', 'evolution', 'of', 'complexity', 'has', 'been', 'a', 'central', 'theme', 'for', 'biology', '2', 'and', 'artificial', 'life', 'research', '1', 'it', 'is', 'generally', 'agreed', 'that', 'complexity', 'has', 'increased', 'in', 'our', 'universe', 'giving', 'way', 'to', 'life', 'multicellularity', 'societies', 'and', 'systems', 'of', 'higher', 'complexities', 'however', 'the', 'mechanisms', 'behind', 'the', 'complexification', 'and', 'its', 'relation', 'to', 'evolution', 'are', 'not', 'well', 'understood', 'moreover', 'complexification', 'can', 'be', 'used', 'to', 'mean', 'different', 'things', 'in', 'different', 'contexts', 'for', 'example', 'complexification', 'has', 'been', 'interpreted', 'as', 'a', 'process', 'of', 'diversification', 'between', 'evolving', 'units', '2', 'or', 'as', 'a', 'scaling', 'process', 'related', 'to', 'the', 'idea', 'of', 'transitions', 'between', 'different', 'levels', 'of', 'complexity', '7', 'understanding', 'the', 'difference', 'or', 'overlap', 'between', 'the', 'mechanisms', 'involved', 'in', 'both', 'situations', 'is', 'mandatory', 'to', 'create', 'acceptable', 'synthetic', 'models', 'of', 'the', 'process', 'as', 'is', 'required', 'in', 'artificial', 'life', 'research']] | [-0.08146856356353506, 0.12269958743722889, -0.08517644171581024, 0.1298917970923824, -0.07427223169017495, -0.09551936764211401, 0.025876961731879904, 0.3932181492037191, -0.27653162412374743, -0.37369264313203143, 0.10779556275554383, -0.2296571959262461, -0.19479145144669735, 0.20276173193137872, -0.0889493802591689, 0.018415426534296227, -0.006781096034866619, 0.026815637256803474, -0.013979040248059175, -0.2583844700285534, 0.3037549158609582, 0.06503766842597113, 0.3156996318120803, 0.04696770154918713, 0.07291601852543182, -0.08304443360694985, -0.01773248959376704, -0.012295107848531618, -0.05059605166821339, 0.10963916209137697, 0.3021098784006104, 0.21527044150169836, 0.3174613504001401, -0.4392203879872645, -0.25036373991137884, 0.1422889254176916, 0.20157531743106527, 0.07596100738657524, -0.02781891967371605, -0.20939046158418645, 0.046842402778565884, -0.14889591528922247, -0.13116545157551063, -0.04322720941625477, 0.09362109469508341, -0.0029415337288180203, -0.19987298219325386, 0.04447728132381742, 0.05553789392176018, 0.09907948780863539, -0.06011360994536488, -0.11293067771246598, -0.03108993245978055, 0.21874004997694352, 0.06958725798107852, 0.03898009831291132, 0.14023520873023534, -0.13145298769103553, -0.16309113564395059, 0.43267440379369915, -0.01744225972852721, -0.16772546119049309, 0.2754113832965317, -0.11991682566159706, -0.1346190454122999, 0.08566948647728174, 0.16708252730772016, 0.04541467584845588, -0.1214837071148488, 0.06506480786474568, 0.051205683385909306, 0.1339006364202552, 0.039801737616263974, 0.028377475746811962, 0.20842796110540746, 0.22354555591999545, 0.017173140111753322, 0.08522875194793464, 0.011319913476060225, -0.15883662078096936, -0.23838708041543802, -0.17532939735367367, -0.16064685693113354, 0.05267821965699256, -0.05763716816383792, -0.12355561484766053, 0.3487650883241051, 0.14878504675644355, 0.1917577630099584, -0.00297668669372797, 0.28357084754003786, 0.08185767382291681, 0.09715701966348478, 0.012835034323254908, 0.20080659928636288, 0.10884740895144349, 0.12234840439412538, -0.1783637330779351, 0.12930872617289424, 0.0034506918173136674] |
710.3785 | Outflow and Accretion in Massive Star Forming Regions | In order to distinguish between the various components of massive star
forming regions (i.e. infalling, outflowing and rotating gas structures) within
our own Galaxy, we require high angular resolution observations which are
sensitive to structures on all size scales. To this end, we present
observations of the molecular and ionized gas towards massive star forming
regions at 230 GHz from the SMA (with zero spacing from the JCMT) and at 22 and
23 GHz from the VLA at arcsecond or better resolution. These observations (of
sources such as NGC7538, W51e2 and K3-50A) form an integral part of a
multi-resolution study of the molecular and ionized gas dynamics of massive
star forming regions (i.e. Klaassen & Wilson 2007). Through comparison of these
observations with 3D radiative transfer models, we hope to be able to
distinguish between various modes of massive star formation, such as ionized or
halted accretion (i.e Keto 2003 or Klaassen et al. 2006 respectively).
| astro-ph | in order to distinguish between the various components of massive star forming regions ie infalling outflowing and rotating gas structures within our own galaxy we require high angular resolution observations which are sensitive to structures on all size scales to this end we present observations of the molecular and ionized gas towards massive star forming regions at 230 ghz from the sma with zero spacing from the jcmt and at 22 and 23 ghz from the vla at arcsecond or better resolution these observations of sources such as ngc7538 w51e2 and k350a form an integral part of a multiresolution study of the molecular and ionized gas dynamics of massive star forming regions ie klaassen wilson 2007 through comparison of these observations with 3d radiative transfer models we hope to be able to distinguish between various modes of massive star formation such as ionized or halted accretion ie keto 2003 or klaassen et al 2006 respectively | [['in', 'order', 'to', 'distinguish', 'between', 'the', 'various', 'components', 'of', 'massive', 'star', 'forming', 'regions', 'ie', 'infalling', 'outflowing', 'and', 'rotating', 'gas', 'structures', 'within', 'our', 'own', 'galaxy', 'we', 'require', 'high', 'angular', 'resolution', 'observations', 'which', 'are', 'sensitive', 'to', 'structures', 'on', 'all', 'size', 'scales', 'to', 'this', 'end', 'we', 'present', 'observations', 'of', 'the', 'molecular', 'and', 'ionized', 'gas', 'towards', 'massive', 'star', 'forming', 'regions', 'at', '230', 'ghz', 'from', 'the', 'sma', 'with', 'zero', 'spacing', 'from', 'the', 'jcmt', 'and', 'at', '22', 'and', '23', 'ghz', 'from', 'the', 'vla', 'at', 'arcsecond', 'or', 'better', 'resolution', 'these', 'observations', 'of', 'sources', 'such', 'as', 'ngc7538', 'w51e2', 'and', 'k350a', 'form', 'an', 'integral', 'part', 'of', 'a', 'multiresolution', 'study', 'of', 'the', 'molecular', 'and', 'ionized', 'gas', 'dynamics', 'of', 'massive', 'star', 'forming', 'regions', 'ie', 'klaassen', 'wilson', '2007', 'through', 'comparison', 'of', 'these', 'observations', 'with', '3d', 'radiative', 'transfer', 'models', 'we', 'hope', 'to', 'be', 'able', 'to', 'distinguish', 'between', 'various', 'modes', 'of', 'massive', 'star', 'formation', 'such', 'as', 'ionized', 'or', 'halted', 'accretion', 'ie', 'keto', '2003', 'or', 'klaassen', 'et', 'al', '2006', 'respectively']] | [-0.05285521356291288, 0.09988484427477458, -0.011584772438471837, 0.015912636527941833, -0.07314233647719506, -0.06537268849600467, 0.029456452866114917, 0.41470768330318314, -0.16897526556971454, -0.36425394923576426, 0.10115448709412088, -0.27664933491408106, -0.032263684241221315, 0.11158052032302705, 0.025530925430317555, -0.047587281228193355, 0.06284885490087852, -0.11297294056463626, -0.047371839593735435, -0.20238530723558318, 0.30959629230051033, 0.1210595604482918, 0.1590092226712694, -0.01836659437225711, 0.08467496644044595, -0.1378917620047897, -0.09796434211574735, -0.031311748681529875, -0.16312237472663965, 0.07431837300499601, 0.24722728279915418, 0.10714839401865198, 0.20265916632187944, -0.42270673845083484, -0.202526985589535, 0.021219105572409688, 0.19605263689412705, 0.04710817934810034, 0.0006330088494465717, -0.30173288463134196, 0.06328335387647271, -0.18793733356099937, -0.15565666780476609, 0.030183966481877912, 0.03005248510669316, 0.018704237967669485, -0.26705423241721526, 0.15297046978995504, -0.007436532630855518, 0.07131633090996935, -0.08708649450732815, -0.085274583590968, -0.08257722477128189, 0.11657756600498913, -0.042350644251752285, 0.08739120072024244, 0.17331497643984134, -0.1435053852784838, -0.04106196443430118, 0.36918037436121415, -0.0495347092656659, -0.04591703651653182, 0.3351973267692712, -0.24568095610386903, -0.20375469228433024, 0.17818704266941376, 0.1639392401302053, 0.11351626416998765, -0.08307853730155094, -0.04180490079771487, -0.03799293146378571, 0.20004429497695977, 0.12314567852675194, 0.08100963656559601, 0.3672201729349552, 0.09402361895303211, 0.012172839632436197, 0.1213501187664787, -0.23107367712223242, -0.08383552783747174, -0.20536722128651286, -0.12049227114766836, -0.1244674303155813, 0.09468617150860448, -0.07988026172857762, -0.08555531943059196, 0.28851875080426614, 0.08788438422057117, 0.23006517799090473, 0.01083998582701409, 0.3105090016919759, 0.014226748183700106, 0.10184959205047737, 0.17128620374827616, 0.2405483379178951, 0.16861070484043128, 0.11197098578296362, -0.22943689609397083, -0.02280033033100828, -0.006594396286433743] |
710.3786 | Reducible And Finite Dehn Fillings | We show that the distance between a finite filling slope and a reducible
filling slope on the boundary of a hyperbolic knot manifold is at most one.
| math.GT | we show that the distance between a finite filling slope and a reducible filling slope on the boundary of a hyperbolic knot manifold is at most one | [['we', 'show', 'that', 'the', 'distance', 'between', 'a', 'finite', 'filling', 'slope', 'and', 'a', 'reducible', 'filling', 'slope', 'on', 'the', 'boundary', 'of', 'a', 'hyperbolic', 'knot', 'manifold', 'is', 'at', 'most', 'one']] | [-0.23763698991388083, 0.13762620012103408, -0.15834500807923851, 0.08635317067253506, -0.09047875170492464, -0.19768179665078167, 0.06563327406291608, 0.3684184537269175, -0.24092182039748877, -0.22597269610398346, 0.09462532951255087, -0.2930954487787353, -0.1527994764899766, 0.1927840316116258, -0.07113302371430176, -0.05212182456334294, 0.038800097070634365, 0.07736307389482304, -0.1649337391179331, -0.18006231766883973, 0.4179714222749074, -0.07808782229268993, 0.18052273181577524, 0.11340620513591501, 0.14094237562406947, -0.045704127496315375, 0.05439080918828646, 0.0725426369657119, -0.16678389400826912, 0.07557449305292081, 0.2071367640186239, -0.04732060972256241, 0.2342452992150491, -0.2637608813604823, -0.17451422699485664, 0.09467300124190471, 0.1031788728993248, -0.0065566592470363335, -0.01481041462695295, -0.19554075164099535, 0.06718223964519522, -0.11270241163395069, -0.197159666740508, 0.1036859725912412, 0.031145607983624493, -0.05424345081189164, -0.1316632380778039, 0.0472906895533756, 0.01340188837989613, 0.09208372445708071, -0.050802108823080304, -0.12392280067972562, -0.06987372125257496, 0.13409156600634256, -0.024498333611215155, 0.104864743952122, 0.07711804066612213, -0.16251438169705648, -0.021300847952564556, 0.3536787175193981, -0.05562626508375009, -0.24593614310854012, 0.20419736592857926, -0.21058649683578146, -0.14787093425790468, 0.2139146307276355, 0.13447790572212803, 0.061481957910237486, 0.028090106909749685, 0.10680889656241224, -0.10656940798637354, 0.24064523481798392, 0.1030015495295326, -0.10167406959873107, 0.17305027872875886, 0.14628363448988507, 0.16332928036098127, 0.1275065952429065, -0.09744580291832487, -0.05554437182015843, -0.3604033048506136, -0.2187177345018696, -0.20166803137571723, 0.13025333666829048, -0.131383837941771, -0.19863372385777808, 0.3887370844130163, -0.012681473322488644, 0.2621387869671539, 0.14437472354620695, 0.2769086233995579, 0.10890498185849369, 0.06591247925879778, 0.1701224121885995, 0.1671193726360798, 0.11927980991701286, -0.0604353749745146, -0.25189945227638993, -0.008752311976557528, 0.18233996250287252] |
710.3787 | Quantum Stress Tensor Fluctuations and their Physical Effects | We summarize several aspects of recent work on quantum stress tensor
fluctuations and their role in driving fluctuations of the gravitational field.
The role of correlations and anticorrelations is emphasized. We begin with a
review of the properties of the stress tensor correlation function. We next
consider some illuminating examples of non-gravitational effects of stress
tensors fluctuations, specifically fluctuations of the Casimir force and
radiation pressure fluctuations. We next discuss passive fluctuations of
spacetime geometry and some of their operational signatures. These include
luminosity fluctuations, line broadening, and angular blurring of a source
viewed through a fluctuating gravitational field. Finally, we discuss the
possible role of quantum stress tensor fluctuations in the early universe,
especially in inflation. The fluctuations of the expansion of a congruence of
comoving geodesics grows during the inflationary era, due to non-cancellation
of anticorrelations that would have occurred in flat spacetime. This results in
subsequent non-Gaussian density perturbations and allows one to infer an upper
bound on the duration of inflation. This bound is consistent with adequate
inflation to solve the horizon and flatness problems.
| gr-qc | we summarize several aspects of recent work on quantum stress tensor fluctuations and their role in driving fluctuations of the gravitational field the role of correlations and anticorrelations is emphasized we begin with a review of the properties of the stress tensor correlation function we next consider some illuminating examples of nongravitational effects of stress tensors fluctuations specifically fluctuations of the casimir force and radiation pressure fluctuations we next discuss passive fluctuations of spacetime geometry and some of their operational signatures these include luminosity fluctuations line broadening and angular blurring of a source viewed through a fluctuating gravitational field finally we discuss the possible role of quantum stress tensor fluctuations in the early universe especially in inflation the fluctuations of the expansion of a congruence of comoving geodesics grows during the inflationary era due to noncancellation of anticorrelations that would have occurred in flat spacetime this results in subsequent nongaussian density perturbations and allows one to infer an upper bound on the duration of inflation this bound is consistent with adequate inflation to solve the horizon and flatness problems | [['we', 'summarize', 'several', 'aspects', 'of', 'recent', 'work', 'on', 'quantum', 'stress', 'tensor', 'fluctuations', 'and', 'their', 'role', 'in', 'driving', 'fluctuations', 'of', 'the', 'gravitational', 'field', 'the', 'role', 'of', 'correlations', 'and', 'anticorrelations', 'is', 'emphasized', 'we', 'begin', 'with', 'a', 'review', 'of', 'the', 'properties', 'of', 'the', 'stress', 'tensor', 'correlation', 'function', 'we', 'next', 'consider', 'some', 'illuminating', 'examples', 'of', 'nongravitational', 'effects', 'of', 'stress', 'tensors', 'fluctuations', 'specifically', 'fluctuations', 'of', 'the', 'casimir', 'force', 'and', 'radiation', 'pressure', 'fluctuations', 'we', 'next', 'discuss', 'passive', 'fluctuations', 'of', 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'the', 'horizon', 'and', 'flatness', 'problems']] | [-0.19261923437553077, 0.20848549814582945, -0.13653742781366798, 0.1169344886107235, -0.05426175526587823, -0.0449946652577576, -0.0656149739102986, 0.32485955165355734, -0.23218566835623797, -0.2771954768923939, 0.08950846256654418, -0.28125853849161614, -0.1485532141607983, 0.14339776374477706, -0.03064481775775843, 0.018843966817181538, 0.004808265407564504, 0.016271418923064652, -0.07142955900459971, -0.23430473067766502, 0.3656736392184426, 0.14636343823584555, 0.2566759247129897, 0.0764765761007019, 0.08041714971583316, -0.028427968275155768, -0.0739621011326974, 0.036021052583968836, -0.16098547622571374, 0.07590075711298255, 0.18735551980593015, 0.10148198301669772, 0.2668729881292948, -0.46401572623420195, -0.23307176624221843, 0.13647940751898763, 0.1265556704846091, 0.14368559405020329, -0.03677951794068261, -0.250560771725947, -0.009896419758976089, -0.1581047167585299, -0.15333949270617223, -0.04955603560307922, 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710.3788 | Instanton Packet Formation via a Wormhole Bridge between a Prior to our
Present Universe, and criteria for their possible break up | We present a criteria for necessary conditions for instanton formation of an
energy packet from a prior to our present universe, using the
Reissnor-Nordstrom metric which is congruent with Crowell's pseudo time
evolution version of Wheeler De Witt equation. This is based upon Wesson's
(1999) treatment of instanton formation in five dimensional cosmologies.
Criteria for break up of this instanton is proposed due to a causal barrier
derived from first principles From the Friedmann equation for scale factor
evolution, with a discussion of how this can be linked to Seth Lloyd's
treatment of computational bits of 'information' in different periods of
inflationary cosmology
| physics.gen-ph | we present a criteria for necessary conditions for instanton formation of an energy packet from a prior to our present universe using the reissnornordstrom metric which is congruent with crowells pseudo time evolution version of wheeler de witt equation this is based upon wessons 1999 treatment of instanton formation in five dimensional cosmologies criteria for break up of this instanton is proposed due to a causal barrier derived from first principles from the friedmann equation for scale factor evolution with a discussion of how this can be linked to seth lloyds treatment of computational bits of information in different periods of inflationary cosmology | [['we', 'present', 'a', 'criteria', 'for', 'necessary', 'conditions', 'for', 'instanton', 'formation', 'of', 'an', 'energy', 'packet', 'from', 'a', 'prior', 'to', 'our', 'present', 'universe', 'using', 'the', 'reissnornordstrom', 'metric', 'which', 'is', 'congruent', 'with', 'crowells', 'pseudo', 'time', 'evolution', 'version', 'of', 'wheeler', 'de', 'witt', 'equation', 'this', 'is', 'based', 'upon', 'wessons', '1999', 'treatment', 'of', 'instanton', 'formation', 'in', 'five', 'dimensional', 'cosmologies', 'criteria', 'for', 'break', 'up', 'of', 'this', 'instanton', 'is', 'proposed', 'due', 'to', 'a', 'causal', 'barrier', 'derived', 'from', 'first', 'principles', 'from', 'the', 'friedmann', 'equation', 'for', 'scale', 'factor', 'evolution', 'with', 'a', 'discussion', 'of', 'how', 'this', 'can', 'be', 'linked', 'to', 'seth', 'lloyds', 'treatment', 'of', 'computational', 'bits', 'of', 'information', 'in', 'different', 'periods', 'of', 'inflationary', 'cosmology']] | [-0.10360227901451659, 0.0728738288163717, -0.18788163459371074, 0.08794699407166497, -0.10407818069838283, -0.1185909742097564, 0.026444654148717474, 0.3020913458825781, -0.21704433657376482, -0.315553663810254, 0.07329560486406161, -0.19441023681659741, -0.11722046145154993, 0.14583054554445835, -0.08285051501254634, 0.024256839471094607, 0.022277748371280805, 0.012777408312932394, -0.05628741937366748, -0.31938028480802283, 0.37749026665039875, 0.10358395715161126, 0.24599009742130443, 0.006638811274182679, 0.1071095038712541, -0.034071661780892624, -0.035413163050197725, -0.010369351235135356, -0.2165016699697601, 0.07814782584376523, 0.2320142032020716, 0.15893324111394658, 0.24819514662082684, -0.42781641985298974, -0.23781552157447775, 0.0747835435282144, 0.12205024656498491, 0.18423967648385148, -0.03968415242426171, -0.2884522728843264, 0.056305394673922864, -0.1590367369261561, -0.11949964233738657, -0.027278023209459712, 0.02166014257587935, -0.047417419367829464, -0.24450986582490772, 0.1380702725019177, 0.017481134520926613, -0.009816027762792489, -0.09663509028401263, -0.07110177278795307, 0.022087086501558967, 0.059026970034741826, 0.06570700439163438, 0.04043804425262099, 0.08113427145757002, -0.11103510169583514, -0.1488631632326558, 0.4034778876414541, -0.061967904455867584, -0.16462395386309317, 0.10631650892814787, -0.08637405317368926, -0.1356312485301111, 0.12775729785876183, 0.12896902832470022, 0.11737643792708911, -0.1632820471687851, 0.1086862955592794, 0.02507275443450354, 0.17826814945824077, 0.1342284699145815, 0.0005341828339687078, 0.2185243996468806, 0.15744174447482323, 0.03970336052819644, 0.10604243636901241, -0.016197502395221133, -0.13737223447660113, -0.3595987083805301, -0.1842761630155515, -0.14809960655010498, 0.13308137999893638, -0.11953501672124361, -0.1764695971909136, 0.3639345696878315, 0.13741282359086032, 0.14866213459927258, 0.07700112907534078, 0.2518377139020969, 0.08779477223288268, 0.04136274846454813, 0.08074272485302374, 0.19578724133201164, 0.12317347627866201, 0.10661453119303921, -0.21977602905538487, 0.006116952650285889, 0.11412993613814953] |
710.3789 | Frequency Analysis of Decoupling Capacitors for Three Voltage Supplies
in SoC | Reduction in power consumption has become a major criterion of design in
modern ICs. One such scheme to reduce power consumption by an IC is the use of
multiple power supplies for critical and non-critical paths. To maintain the
impedance of a power distribution system below a specified level, multiple
decoupling capacitors are placed at different levels of power grid hierarchy.
This paper describes about three-voltage supply power distribution systems. The
noise at one power supply can propagate to the other power supply, causing
power and signal integrity problems in the overall system. Effects such as
anti-resonance and remedies for these effects are studied. Impedance of the
three-voltage supply power distribution system is calculated in terms of
RLC-model of decoupling capacitors. Further the obtained impedance depends on
the frequency; hence brief frequency analysis of impedance is done.
| cs.AR | reduction in power consumption has become a major criterion of design in modern ics one such scheme to reduce power consumption by an ic is the use of multiple power supplies for critical and noncritical paths to maintain the impedance of a power distribution system below a specified level multiple decoupling capacitors are placed at different levels of power grid hierarchy this paper describes about threevoltage supply power distribution systems the noise at one power supply can propagate to the other power supply causing power and signal integrity problems in the overall system effects such as antiresonance and remedies for these effects are studied impedance of the threevoltage supply power distribution system is calculated in terms of rlcmodel of decoupling capacitors further the obtained impedance depends on the frequency hence brief frequency analysis of impedance is done | [['reduction', 'in', 'power', 'consumption', 'has', 'become', 'a', 'major', 'criterion', 'of', 'design', 'in', 'modern', 'ics', 'one', 'such', 'scheme', 'to', 'reduce', 'power', 'consumption', 'by', 'an', 'ic', 'is', 'the', 'use', 'of', 'multiple', 'power', 'supplies', 'for', 'critical', 'and', 'noncritical', 'paths', 'to', 'maintain', 'the', 'impedance', 'of', 'a', 'power', 'distribution', 'system', 'below', 'a', 'specified', 'level', 'multiple', 'decoupling', 'capacitors', 'are', 'placed', 'at', 'different', 'levels', 'of', 'power', 'grid', 'hierarchy', 'this', 'paper', 'describes', 'about', 'threevoltage', 'supply', 'power', 'distribution', 'systems', 'the', 'noise', 'at', 'one', 'power', 'supply', 'can', 'propagate', 'to', 'the', 'other', 'power', 'supply', 'causing', 'power', 'and', 'signal', 'integrity', 'problems', 'in', 'the', 'overall', 'system', 'effects', 'such', 'as', 'antiresonance', 'and', 'remedies', 'for', 'these', 'effects', 'are', 'studied', 'impedance', 'of', 'the', 'threevoltage', 'supply', 'power', 'distribution', 'system', 'is', 'calculated', 'in', 'terms', 'of', 'rlcmodel', 'of', 'decoupling', 'capacitors', 'further', 'the', 'obtained', 'impedance', 'depends', 'on', 'the', 'frequency', 'hence', 'brief', 'frequency', 'analysis', 'of', 'impedance', 'is', 'done']] | [-0.20098583699106726, 0.07589383317783575, -0.02556645572046513, 0.0004946718621415212, -0.03918883836925475, -0.1578779242786843, 0.043905267576207475, 0.33159235253914454, -0.2886002969775182, -0.3261465548273565, 0.11288779856569356, -0.2962245408779205, -0.06335360144695906, 0.24447044282812805, -0.09061751185235248, 0.062295665409773895, -0.02195937475954085, 0.032229124458937615, 0.0021690685899733607, -0.19520850710348406, 0.28929242510058606, 0.14076166567323145, 0.3530396835378079, 0.0517688364819137, 0.09892690070415457, -0.0318501253921622, 0.0021777562249743784, -0.006151182427585347, -0.03954144973141044, 0.07077157972276267, 0.2755509436273002, 0.11733634336399776, 0.2654194035046081, -0.4694226505373841, -0.2573730752285598, 0.09892372885517386, 0.12392600256351949, 0.038163009203914834, -0.02038108118820185, -0.11933772780223569, 0.10631259493251789, -0.21339513529648088, -0.1298508171492548, -0.02953080168522116, -0.03681041062601022, 0.06101032483405364, -0.2674519205396411, 0.0694939893211669, 0.05299672807580722, 0.06543113128629638, -0.03959318659087615, -0.13242090697080564, -0.016552381923790577, 0.16718873295085088, 0.008752601871044556, -0.0548866402013349, 0.16479904916478016, -0.1532427566490873, -0.06672321431297086, 0.3633111632748771, 0.010000838138816406, -0.17815029391768708, 0.12492229743363725, -0.10087814153199877, -0.0859423785387024, 0.11521690496618846, 0.21492551400937807, -0.00515637502296647, -0.1707560978934113, 0.039393881572594644, 0.08636914242628906, 0.22125334522527046, 0.1144027297763821, 0.0605707516956296, 0.22799726720176525, 0.18657923493979137, 0.10837811293469658, 0.1600950305326668, -0.06259687962844523, -0.05955560470639325, -0.2568124990376866, -0.08050330979975441, -0.16769031376522311, 0.06289171088754492, -0.07399750177354514, -0.13760717985665064, 0.42227644115301877, 0.13519303550346018, 0.1797175120159205, 0.05285624833603793, 0.40120812245199816, 0.23400647362169408, 0.05004671322348625, 0.04396910500476387, 0.20383877589700938, 0.10587508709051771, 0.14721627757578754, -0.24928818223650442, 0.05457001680390103, -0.016500517856260177] |
710.379 | f(R)-Brane | We investigate the existence of brane solutions in braneworld scenarios
described by real scalar field in the presence of modified $f(R)$ gravity with
a single extra dimension. In the case of constant curvature, we obtain
first-order differential equations which solve the equations of motion and ease
the search for explicit analytical solutions. Several examples of current
interest are investigated to illustrate the results of the present work.
| hep-th | we investigate the existence of brane solutions in braneworld scenarios described by real scalar field in the presence of modified fr gravity with a single extra dimension in the case of constant curvature we obtain firstorder differential equations which solve the equations of motion and ease the search for explicit analytical solutions several examples of current interest are investigated to illustrate the results of the present work | [['we', 'investigate', 'the', 'existence', 'of', 'brane', 'solutions', 'in', 'braneworld', 'scenarios', 'described', 'by', 'real', 'scalar', 'field', 'in', 'the', 'presence', 'of', 'modified', 'fr', 'gravity', 'with', 'a', 'single', 'extra', 'dimension', 'in', 'the', 'case', 'of', 'constant', 'curvature', 'we', 'obtain', 'firstorder', 'differential', 'equations', 'which', 'solve', 'the', 'equations', 'of', 'motion', 'and', 'ease', 'the', 'search', 'for', 'explicit', 'analytical', 'solutions', 'several', 'examples', 'of', 'current', 'interest', 'are', 'investigated', 'to', 'illustrate', 'the', 'results', 'of', 'the', 'present', 'work']] | [-0.1791219179615823, 0.02800731333111649, -0.011853881652897863, 0.075954673839594, -0.10823827223685473, -0.15626174495763964, -0.049341925805601386, 0.2639409783087782, -0.20654938007885618, -0.3170280501441057, 0.111008864163713, -0.24374676357482128, -0.16157000614747183, 0.17330098268575966, -0.03583105713295848, 0.04942997358565622, 0.009773453572459186, 0.05030121190000826, -0.06499127678072719, -0.2626841233681832, 0.37914230424299167, -0.004783051317807899, 0.2141135486621243, 0.027680886516681137, 0.11256677829729977, -0.0656920182518661, -0.04113193695892149, 0.06114191278370459, -0.21150986251157167, 0.10912339671501028, 0.20992839843757563, 0.09895948567010684, 0.21124992597458966, -0.4455334797167956, -0.2683410118403497, 0.07193699975345116, 0.15318319824899532, 0.1645760477378047, -0.12473634317684085, -0.3104249429367761, 0.07734461670824841, -0.14877846054454794, -0.19797280667794506, -0.10701360308857107, -0.00853755197717127, 0.02220192687836156, -0.24744007703083665, 0.0771461778890286, 0.03365232592531994, 0.009787581666414417, -0.1342787865215718, -0.07943946515460179, 0.01627054624954489, 0.03882850986495336, 0.1339148658939373, -0.04617027920990515, 0.07487175801991304, -0.18082683764088817, -0.14560438172175869, 0.3678853105294949, -0.15807315322167392, -0.2974507917038429, 0.14431764773412872, -0.13286718277872275, -0.09436308666229692, 0.09127215404452672, 0.18571747145824022, 0.20219432764144532, -0.15879151863115493, 0.1891022563709768, 0.0011456942380364261, 0.12091545299140376, 0.0975880693963993, 0.0021857987644512264, 0.1866067608457003, 0.11177381319897388, 0.022335862567120078, 0.18571954762299003, -0.031090088042694686, -0.1746368815969509, -0.3796703116551264, -0.17726200730400854, -0.10581280555186877, 0.03637065920533974, -0.15194726421184135, -0.1630363705456813, 0.4081520384816981, 0.15666006409577024, 0.1583519703986596, 0.04123157753657772, 0.2699526272880942, 0.14571781473150894, -0.00544329087593968, 0.045759328884253304, 0.2806294328018801, 0.1338930194537197, 0.12610200066605945, -0.24584344090588056, -0.038070518495653995, 0.08337997160017935] |
710.3791 | New constraints on supersymmetric models from b -> s gamma | We provide an analysis of the parameter space of several supersymmetry
breaking scenarios such as the minimal supergravity (mSUGRA) model and the non
universal Higgs mass (NUHM) framework, as well as the Anomaly Mediated
Supersymmetry Breaking (AMSB) and the Gauge Mediated Supersymmetry Breaking
(GMSB) models, in the light of a novel observable in b -> s gamma transitions,
i.e. the isospin symmetry breaking in the exclusive B -> K* gamma decays. We
find that in many cases, this observable provides severe restrictions on the
allowed parameter space regions for the mentioned models. Moreover, we provide
a few examples of investigations of the physical masses of supersymmetric
particles and search for the excluded values. The constraints from the
branching ratio associated to b -> s gamma are also presented here for all the
examined parameter space regions. A comparison with B_s -> mu+ mu- branching
ratio has also been performed.
| hep-ph | we provide an analysis of the parameter space of several supersymmetry breaking scenarios such as the minimal supergravity msugra model and the non universal higgs mass nuhm framework as well as the anomaly mediated supersymmetry breaking amsb and the gauge mediated supersymmetry breaking gmsb models in the light of a novel observable in b s gamma transitions ie the isospin symmetry breaking in the exclusive b k gamma decays we find that in many cases this observable provides severe restrictions on the allowed parameter space regions for the mentioned models moreover we provide a few examples of investigations of the physical masses of supersymmetric particles and search for the excluded values the constraints from the branching ratio associated to b s gamma are also presented here for all the examined parameter space regions a comparison with b_s mu mu branching ratio has also been performed | [['we', 'provide', 'an', 'analysis', 'of', 'the', 'parameter', 'space', 'of', 'several', 'supersymmetry', 'breaking', 'scenarios', 'such', 'as', 'the', 'minimal', 'supergravity', 'msugra', 'model', 'and', 'the', 'non', 'universal', 'higgs', 'mass', 'nuhm', 'framework', 'as', 'well', 'as', 'the', 'anomaly', 'mediated', 'supersymmetry', 'breaking', 'amsb', 'and', 'the', 'gauge', 'mediated', 'supersymmetry', 'breaking', 'gmsb', 'models', 'in', 'the', 'light', 'of', 'a', 'novel', 'observable', 'in', 'b', 's', 'gamma', 'transitions', 'ie', 'the', 'isospin', 'symmetry', 'breaking', 'in', 'the', 'exclusive', 'b', 'k', 'gamma', 'decays', 'we', 'find', 'that', 'in', 'many', 'cases', 'this', 'observable', 'provides', 'severe', 'restrictions', 'on', 'the', 'allowed', 'parameter', 'space', 'regions', 'for', 'the', 'mentioned', 'models', 'moreover', 'we', 'provide', 'a', 'few', 'examples', 'of', 'investigations', 'of', 'the', 'physical', 'masses', 'of', 'supersymmetric', 'particles', 'and', 'search', 'for', 'the', 'excluded', 'values', 'the', 'constraints', 'from', 'the', 'branching', 'ratio', 'associated', 'to', 'b', 's', 'gamma', 'are', 'also', 'presented', 'here', 'for', 'all', 'the', 'examined', 'parameter', 'space', 'regions', 'a', 'comparison', 'with', 'b_s', 'mu', 'mu', 'branching', 'ratio', 'has', 'also', 'been', 'performed']] | [-0.13755116616777177, 0.22410013896246553, -0.0015614158983727725, 0.1279990460619266, -0.08639302787788469, -0.16260992607487174, 0.09371164880195183, 0.3243520662316988, -0.1971417347097705, -0.28962812222026546, 0.07956874791757557, -0.24680563857586219, -0.07630044505128573, 0.13070646533100255, 0.03598527355713706, 0.08185417769920354, 0.0076449907256354544, 0.022860648952312126, -0.06624979766021515, -0.18393060551185547, 0.28342434374840353, -0.000683257119842516, 0.1910137409215857, 0.06960940177287457, 0.03958504932836212, -0.03814484788032634, -0.020840068379866666, -0.03702245189715227, -0.19889167883008887, 0.05124033128319344, 0.1828059301541512, 0.11531620243853279, 0.10890622298265326, -0.3210150641549764, -0.2073058796532709, 0.21517255271239014, 0.15478865756043073, 0.0573973493843243, -0.05156543940257538, -0.34213939308477886, 0.05380518692786452, -0.18370362115253147, -0.08312904418943899, -0.08493287731283183, 0.024718381971891586, -0.1281901833729754, -0.3415251902144017, 0.07919399098107784, -0.010487440446038441, 0.042650302480263955, -0.026008803888770013, -0.15318293707959096, -0.08444028491443344, 0.023848297443754714, 0.17762944046167078, 0.0010256601513588222, 0.17207334183301007, -0.15841491450234477, -0.1619851801223282, 0.43213527408139457, -0.04497998771097126, -0.20163255782380443, 0.18684920874938113, -0.141055465110674, -0.23214860085141042, 0.1329408301112788, 0.18208836923224916, 0.11745807882077221, -0.13275288620257172, 0.2212365931080622, -0.04899046195927879, 0.13270772904687528, 0.0461292106080158, 0.06209435167176456, 0.21243446191837048, 0.19055331945419313, 0.03561240214822364, 0.08606232138157918, -0.0790256252789324, -0.07869370906967027, -0.4607704297478857, -0.12924510272669382, -0.0774367090306598, 0.02157599167207834, -0.11282643040547806, -0.08172276513329868, 0.36757337854661304, 0.10263564074733134, 0.288527268575954, 0.03807818078564416, 0.23541455543760595, 0.07953364088697809, 0.08259233137520415, 0.001775186952075054, 0.28915364074295963, 0.11358289423816163, 0.07671156982923376, -0.23168447255799227, -0.010735930011061759, 0.039657465471275924] |
710.3792 | Approximating critical parameters of branching random walks | Given a branching random walk on a graph, we consider two kinds of
truncations: by inhibiting the reproduction outside a subset of vertices and by
allowing at most $m$ particles per site. We investigate the convergence of weak
and strong critical parameters of these truncated branching random walks to the
analogous parameters of the original branching random walk. As a corollary, we
apply our results to the study of the strong critical parameter of a branching
random walk restricted to the cluster of a Bernoulli bond percolation.
| math.PR | given a branching random walk on a graph we consider two kinds of truncations by inhibiting the reproduction outside a subset of vertices and by allowing at most m particles per site we investigate the convergence of weak and strong critical parameters of these truncated branching random walks to the analogous parameters of the original branching random walk as a corollary we apply our results to the study of the strong critical parameter of a branching random walk restricted to the cluster of a bernoulli bond percolation | [['given', 'a', 'branching', 'random', 'walk', 'on', 'a', 'graph', 'we', 'consider', 'two', 'kinds', 'of', 'truncations', 'by', 'inhibiting', 'the', 'reproduction', 'outside', 'a', 'subset', 'of', 'vertices', 'and', 'by', 'allowing', 'at', 'most', 'm', 'particles', 'per', 'site', 'we', 'investigate', 'the', 'convergence', 'of', 'weak', 'and', 'strong', 'critical', 'parameters', 'of', 'these', 'truncated', 'branching', 'random', 'walks', 'to', 'the', 'analogous', 'parameters', 'of', 'the', 'original', 'branching', 'random', 'walk', 'as', 'a', 'corollary', 'we', 'apply', 'our', 'results', 'to', 'the', 'study', 'of', 'the', 'strong', 'critical', 'parameter', 'of', 'a', 'branching', 'random', 'walk', 'restricted', 'to', 'the', 'cluster', 'of', 'a', 'bernoulli', 'bond', 'percolation']] | [-0.12534727166599496, 0.1999306844697259, -0.02706732794150025, 0.031724252577485706, -0.03796133305877447, -0.12482091809098406, 0.18127124392609487, 0.35091576117208634, -0.24000554475745978, -0.19539997220606725, 0.09898893984205935, -0.25290543111790525, -0.1250191811129622, 0.12641482476690977, -0.015107454346685574, 0.08080409380644774, 0.05494552745146613, 0.06985306960327187, 0.0009748596128012086, -0.2625624535049328, 0.2889154109322391, 0.008572289249163935, 0.2079216171291539, 0.017003724244476735, 0.09539877470775411, 0.06750156233172822, -0.02610786022597003, 0.046911048274701356, -0.19234447184971523, 0.07850024504480006, 0.10042415545375526, 0.06087117607373445, 0.2917135051269641, -0.36929055262656735, -0.14197746391579424, 0.18858576577756253, 0.1426973739296369, 0.1225088990839391, 0.012032474866190433, -0.3175066427766592, 0.0952368784487119, -0.12050520693990348, -0.1440664042301219, 0.011955837697732723, 0.05420494676920874, 0.10568063313023712, -0.31050676449962045, 0.048765354891489636, 0.0715327228997545, 0.0145184311255727, 0.03962605488058394, -0.12716416055443644, -0.010043750562565937, 0.13073133714711185, 0.013642983418760886, 0.010312662591044417, 0.16691076073089037, -0.12309237511764312, -0.2007359119490774, 0.4121352824617991, -0.06392101050306369, -0.18522970302929653, 0.19920635205190415, -0.20901790061087785, -0.22498570563507148, 0.11301567122854035, 0.21360896246229438, 0.10474673495895562, -0.1364327963687822, 0.07479390420485288, -0.08882246530432811, 0.09833616596959724, 0.05602622671245501, -0.014446290242003983, 0.14209332426102703, 0.17011327847461055, 0.10749808551700807, 0.2055536305515802, -0.05196176717946327, -0.13153133527964525, -0.3113729727759572, -0.12694832174664086, -0.20864634113065128, 0.12673961820787397, -0.23512342802333197, -0.23474475619351043, 0.3918627043971899, 0.15735087752470683, 0.2934814098772149, 0.1439321237541307, 0.19483620161725873, 0.1266907878252196, 0.007847643373721418, 0.038950378059184755, 0.1466401124844092, 0.20810455614005097, 0.03203144130944649, -0.16249806663000035, 0.09508022889441371, 0.13643398614139993] |
710.3793 | Depressed Surface Magnetization in Thin La0.8MnO3 Films | A systematic study the magnetization in La0.8.MnO3 films of thickness varying
from ultra-thin to bulk-like has been conducted. The study reveals suppression
of the bulk magnetization for films up to at least 1600 A. In addition, the
surface (top 50 A) of all films exhibits depressed magnetization as observed by
x-ray magnetic circular dichroism (XMCD). The reduced surface magnetization is
attributed to the coexistence of magnetic and nonmagnetic components of the
same chemical composition.
| cond-mat.str-el | a systematic study the magnetization in la08mno3 films of thickness varying from ultrathin to bulklike has been conducted the study reveals suppression of the bulk magnetization for films up to at least 1600 a in addition the surface top 50 a of all films exhibits depressed magnetization as observed by xray magnetic circular dichroism xmcd the reduced surface magnetization is attributed to the coexistence of magnetic and nonmagnetic components of the same chemical composition | [['a', 'systematic', 'study', 'the', 'magnetization', 'in', 'la08mno3', 'films', 'of', 'thickness', 'varying', 'from', 'ultrathin', 'to', 'bulklike', 'has', 'been', 'conducted', 'the', 'study', 'reveals', 'suppression', 'of', 'the', 'bulk', 'magnetization', 'for', 'films', 'up', 'to', 'at', 'least', '1600', 'a', 'in', 'addition', 'the', 'surface', 'top', '50', 'a', 'of', 'all', 'films', 'exhibits', 'depressed', 'magnetization', 'as', 'observed', 'by', 'xray', 'magnetic', 'circular', 'dichroism', 'xmcd', 'the', 'reduced', 'surface', 'magnetization', 'is', 'attributed', 'to', 'the', 'coexistence', 'of', 'magnetic', 'and', 'nonmagnetic', 'components', 'of', 'the', 'same', 'chemical', 'composition']] | [-0.1448408718897055, 0.18229478787732858, -0.033161091127062906, -0.03753020145375384, -0.03100935608301669, -0.07818328204551993, 0.07629344824778095, 0.42540830668470225, -0.26540522963727176, -0.3486761533438343, 0.016164532974234796, -0.34281964791453867, -0.0439251181446271, 0.20830825900607933, 0.07004239933871448, 0.028953181809350234, -0.06642492466976177, -0.06308216527614692, -0.12413064186295418, -0.19025384389782604, 0.2459704904778771, 0.012502002261885225, 0.3227385945669184, 0.1017658781668503, 0.02437438727803018, -0.03612126550981647, 0.11792956290077673, 0.08999779570388468, -0.11055729085936734, 0.029920407015932342, 0.22105157892028354, -0.1594015426633956, 0.15897127945129186, -0.45976879898050466, -0.21265918772973835, -0.020605701040986874, 0.11884533569267759, 0.09049208739083515, -0.06258881441636445, -0.20197822098709542, 0.14639977855314437, -0.06777125133890403, -0.15280002932867978, -0.06502546324739106, -0.016155625195944146, -0.024459655084073134, -0.22976207549441352, 0.08628947292901065, 0.0688131963706588, 0.18669129303363088, -0.13777716230754167, -0.14232879775027707, -0.1811202717753612, 0.04811379727460954, 0.12586543665344074, 0.08468577716410262, 0.20934299720221594, -0.08241365574402353, -0.10383337881569177, 0.31669923984637, -0.08442374012330929, 0.00878512685837811, 0.14501185196592178, -0.26741081904237196, -0.05133076813965015, 0.22773524904814996, 0.14883794412112553, 0.14165326228288755, -0.15865842466025729, 0.06238762580084755, -0.01525075135318792, 0.2504287181957944, 0.13045741940771982, 0.028812055157063757, 0.26587942289826394, 0.2452775024608007, 0.02159485830325388, 0.20042807287983086, -0.2126333047572064, 0.03407919519159892, -0.16415646549773544, -0.17730582781033974, -0.18012164132701464, 0.08081902269503638, -0.09234769172844483, -0.22095494610193658, 0.4159557147857363, 0.10920156945461688, 0.18644740876473792, -0.08663950069832986, 0.24813016584423714, 0.049542040243579, 0.08731468514322419, 0.03746525772962056, 0.28971227115555986, 0.2699250587204803, 0.16292288284493636, -0.32532566912433974, 0.1641961722539049, -0.06817517862719012] |
710.3794 | Curve complexes are rigid | Any quasi-isometry of the complex of curves is bounded distance from a
simplicial automorphism. As a consequence, the quasi-isometry type of the curve
complex determines the homeomorphism type of the surface.
| math.GT | any quasiisometry of the complex of curves is bounded distance from a simplicial automorphism as a consequence the quasiisometry type of the curve complex determines the homeomorphism type of the surface | [['any', 'quasiisometry', 'of', 'the', 'complex', 'of', 'curves', 'is', 'bounded', 'distance', 'from', 'a', 'simplicial', 'automorphism', 'as', 'a', 'consequence', 'the', 'quasiisometry', 'type', 'of', 'the', 'curve', 'complex', 'determines', 'the', 'homeomorphism', 'type', 'of', 'the', 'surface']] | [-0.21481500632099568, 0.07714570707250987, -0.1170141285345439, 0.07308059271740457, -0.13201332990560802, -0.1311192289896069, 0.03608304661728682, 0.3119996008613417, -0.437217706574067, -0.2197917035270122, 0.09937729172769093, -0.26168186025273416, -0.18921586654839978, 0.22174315043394605, -0.21150413906622317, -0.032242007313236114, 0.0488247430973476, 0.09234268398534867, -0.11665188328873727, -0.21085096793549676, 0.5083381615338787, -0.13172060894148965, 0.16679457554052915, 0.08457179367542267, 0.10934738126853781, -0.04261640055225261, 0.01664174834807073, 0.004519312221917414, -0.17476712041083844, 0.11855585655317671, 0.20555712451647606, 0.11498869805326385, 0.11939609675638137, -0.2971532243273912, -0.23070649721569592, 0.2547652475055187, 0.09367647890241877, -0.025389189501443216, -0.04350652128097511, -0.274398033176699, 0.06846917303459298, -0.05090361298812974, -0.2391259893174133, 0.023952221678149317, 0.08505936123190387, 0.04588669370259008, -0.1546264342483013, 0.015604223094640239, 0.14837675860091562, 0.18329970244198077, -0.0723881488966365, 0.030084304090949796, -0.14432031174580898, 0.17048415146587836, -0.04116176931758321, 0.1369009130153685, 0.1334269657851227, -0.08672013500284764, -0.06657015670451426, 0.454713634425594, -0.058850023595075455, -0.2060662753159, 0.18761837242111082, -0.13550509124874108, -0.0764877520832083, 0.20690877513299066, 0.11511152904600866, 0.1738420603496413, -0.05325767734358387, 0.2234045484313561, -0.08749471430576616, 0.15191262335546554, 0.09334165626956571, -0.047253694505460804, 0.12202538192392356, 0.13380985628933675, 0.17723908056054385, 0.15104209956517745, -0.018829325514454997, 0.0238352911847253, -0.40346092009736645, -0.20525507538789703, -0.1604136212338363, 0.1722792822326864, -0.23218619547063304, -0.24257961143889734, 0.44437046454197937, -0.06367594850880484, 0.20009948839358385, 0.11034679370782068, 0.1859724898972819, -0.0061847584419733575, 0.09016773038573804, 0.04303156703169788, 0.14028239598678005, 0.21565037316853, -0.09267228553372045, -0.1590937763948234, 0.06686363155923543, 0.24619380230104715] |
710.3795 | Localizing coalescing massive black hole binaries with gravitational
waves | Massive black hole binary coalescences are prime targets for space-based
gravitational wave (GW) observatories such as {\it LISA}. GW measurements can
localize the position of a coalescing binary on the sky to an ellipse with a
major axis of a few tens of arcminutes to a few degrees, depending on source
redshift, and a minor axis which is $2 - 4$ times smaller. Neglecting weak
gravitational lensing, the GWs would also determine the source's luminosity
distance to better than percent accuracy for close sources, degrading to
several percent for more distant sources. Weak lensing cannot, in fact, be
neglected and is expected to limit the accuracy with which distances can be
fixed to errors no less than a few percent. Assuming a well-measured cosmology,
the source's redshift could be inferred with similar accuracy. GWs alone can
thus pinpoint a binary to a three-dimensional ``pixel'' which can help guide
searches for the hosts of these events. We examine the time evolution of this
pixel, studying it at merger and at several intervals before merger. One day
before merger, the major axis of the error ellipse is typically larger than its
final value by a factor of $\sim 1.5-6$. The minor axis is larger by a factor
of $\sim 2-9$, and, neglecting lensing, the error in the luminosity distance is
larger by a factor of $\sim 1.5-7$. This large change over a short period of
time is due to spin-induced precession, which is strongest in the final days
before merger. The evolution is slower as we go back further in time. For $z =
1$, we find that GWs will localize a coalescing binary to within $\sim 10\
\mathrm{deg}^2$ as early as a month prior to merger and determine distance (and
hence redshift) to several percent.
| astro-ph gr-qc | massive black hole binary coalescences are prime targets for spacebased gravitational wave gw observatories such as it lisa gw measurements can localize the position of a coalescing binary on the sky to an ellipse with a major axis of a few tens of arcminutes to a few degrees depending on source redshift and a minor axis which is 2 4 times smaller neglecting weak gravitational lensing the gws would also determine the sources luminosity distance to better than percent accuracy for close sources degrading to several percent for more distant sources weak lensing cannot in fact be neglected and is expected to limit the accuracy with which distances can be fixed to errors no less than a few percent assuming a wellmeasured cosmology the sources redshift could be inferred with similar accuracy gws alone can thus pinpoint a binary to a threedimensional pixel which can help guide searches for the hosts of these events we examine the time evolution of this pixel studying it at merger and at several intervals before merger one day before merger the major axis of the error ellipse is typically larger than its final value by a factor of sim 156 the minor axis is larger by a factor of sim 29 and neglecting lensing the error in the luminosity distance is larger by a factor of sim 157 this large change over a short period of time is due to spininduced precession which is strongest in the final days before merger the evolution is slower as we go back further in time for z 1 we find that gws will localize a coalescing binary to within sim 10 mathrmdeg2 as early as a month prior to merger and determine distance and hence redshift to several percent | [['massive', 'black', 'hole', 'binary', 'coalescences', 'are', 'prime', 'targets', 'for', 'spacebased', 'gravitational', 'wave', 'gw', 'observatories', 'such', 'as', 'it', 'lisa', 'gw', 'measurements', 'can', 'localize', 'the', 'position', 'of', 'a', 'coalescing', 'binary', 'on', 'the', 'sky', 'to', 'an', 'ellipse', 'with', 'a', 'major', 'axis', 'of', 'a', 'few', 'tens', 'of', 'arcminutes', 'to', 'a', 'few', 'degrees', 'depending', 'on', 'source', 'redshift', 'and', 'a', 'minor', 'axis', 'which', 'is', '2', '4', 'times', 'smaller', 'neglecting', 'weak', 'gravitational', 'lensing', 'the', 'gws', 'would', 'also', 'determine', 'the', 'sources', 'luminosity', 'distance', 'to', 'better', 'than', 'percent', 'accuracy', 'for', 'close', 'sources', 'degrading', 'to', 'several', 'percent', 'for', 'more', 'distant', 'sources', 'weak', 'lensing', 'can', 'not', 'in', 'fact', 'be', 'neglected', 'and', 'is', 'expected', 'to', 'limit', 'the', 'accuracy', 'with', 'which', 'distances', 'can', 'be', 'fixed', 'to', 'errors', 'no', 'less', 'than', 'a', 'few', 'percent', 'assuming', 'a', 'wellmeasured', 'cosmology', 'the', 'sources', 'redshift', 'could', 'be', 'inferred', 'with', 'similar', 'accuracy', 'gws', 'alone', 'can', 'thus', 'pinpoint', 'a', 'binary', 'to', 'a', 'threedimensional', 'pixel', 'which', 'can', 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'localize', 'a', 'coalescing', 'binary', 'to', 'within', 'sim', '10', 'mathrmdeg2', 'as', 'early', 'as', 'a', 'month', 'prior', 'to', 'merger', 'and', 'determine', 'distance', 'and', 'hence', 'redshift', 'to', 'several', 'percent']] | [-0.12566074021534085, 0.12758427942858067, -0.0314471009616508, 0.1142581077681937, -0.09915900045494094, -0.07569805325291822, 0.04425989448986058, 0.3867157515863103, -0.20408821002653332, -0.35774182324828546, 0.1145025703693667, -0.3162336366079468, -0.013973494300319982, 0.2488924525972176, -0.005309258123586406, -0.011477283222971122, 0.10545936680069899, 0.022547943328440494, -0.12768892142326696, -0.2765345969698281, 0.24069223456154656, 0.13914001287468122, 0.1214748775628602, -0.02442353307476121, 0.08481456121507676, -0.022321874352089374, -0.023737660344271307, -0.00847594928172808, -0.09352674364337699, 0.011138012311691514, 0.23666143073039225, 0.13629595332368954, 0.27765460962703, -0.3473380500062944, -0.20050996081838415, 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710.3796 | Sweet Spot Supersymmetry and Composite Messengers | Sweet spot supersymmetry is a phenomenologically and cosmologically perfect
framework to realize a supersymmetric world at short distance. We discuss a
class of dynamical models of supersymmetry breaking and its mediation whose
low-energy effective description falls into this framework. Hadron fields in
the dynamical models play a role of the messengers of the supersymmetry
breaking. As is always true in the models of the sweet spot supersymmetry, the
messenger scale is predicted to be 10^5 GeV < M_mess < 10^{10} GeV. Various
values of the effective number of messenger fields N_mess are possible
depending on the choice of the gauge group.
| hep-ph hep-th | sweet spot supersymmetry is a phenomenologically and cosmologically perfect framework to realize a supersymmetric world at short distance we discuss a class of dynamical models of supersymmetry breaking and its mediation whose lowenergy effective description falls into this framework hadron fields in the dynamical models play a role of the messengers of the supersymmetry breaking as is always true in the models of the sweet spot supersymmetry the messenger scale is predicted to be 105 gev m_mess 1010 gev various values of the effective number of messenger fields n_mess are possible depending on the choice of the gauge group | [['sweet', 'spot', 'supersymmetry', 'is', 'a', 'phenomenologically', 'and', 'cosmologically', 'perfect', 'framework', 'to', 'realize', 'a', 'supersymmetric', 'world', 'at', 'short', 'distance', 'we', 'discuss', 'a', 'class', 'of', 'dynamical', 'models', 'of', 'supersymmetry', 'breaking', 'and', 'its', 'mediation', 'whose', 'lowenergy', 'effective', 'description', 'falls', 'into', 'this', 'framework', 'hadron', 'fields', 'in', 'the', 'dynamical', 'models', 'play', 'a', 'role', 'of', 'the', 'messengers', 'of', 'the', 'supersymmetry', 'breaking', 'as', 'is', 'always', 'true', 'in', 'the', 'models', 'of', 'the', 'sweet', 'spot', 'supersymmetry', 'the', 'messenger', 'scale', 'is', 'predicted', 'to', 'be', '105', 'gev', 'm_mess', '1010', 'gev', 'various', 'values', 'of', 'the', 'effective', 'number', 'of', 'messenger', 'fields', 'n_mess', 'are', 'possible', 'depending', 'on', 'the', 'choice', 'of', 'the', 'gauge', 'group']] | [-0.1680068111579333, 0.2711814472128694, -0.061131994596359374, 0.18219429352653346, -0.07841352977770932, -0.13912761759735187, 0.009262485692173014, 0.33381885432695246, -0.19715884397737682, -0.3708225410355597, 0.09154925804005518, -0.2078322632076713, -0.09186814695226067, 0.1452064428915631, -0.014536018910988862, -0.002006763161596015, -0.027707445995920166, 0.05332891137472221, -0.016668221481472293, -0.22848371566482345, 0.2602207260206342, 0.06515511082561344, 0.20857339423881577, 0.0802357680145271, 0.11880106669945681, -0.03831571116758396, 0.03428785461690087, -0.08898793123852537, -0.10764178591875398, 0.11348393305480405, 0.2058933728557702, 0.07058291708841463, 0.17031340918750787, -0.3502785502837933, -0.22029855946192936, 0.15293476291533029, 0.10892608609497167, 0.13383389655940178, -0.048408722191364786, -0.27169553686541564, 0.09556860241050623, -0.18998459849164498, -0.12924220437321773, -0.043854918207365035, 0.0038260296082162125, -0.13018212005572052, -0.2980942419891683, 0.07531114656665856, -0.031944514747010544, 0.05391681844330564, -0.01898690424883282, -0.07101540425934885, -0.090044775370708, 0.04348106825325106, 0.17246997858426172, 0.032095932282925566, 0.21432335130224117, -0.22420248609482862, -0.11172009096005742, 0.4661798857304515, -0.05812147446689481, -0.14440521783369464, 0.16844743592854666, -0.09819113810033518, -0.18419408465958942, 0.12646637463999189, 0.1839259125254288, 0.1350721533182172, -0.141038712190122, 0.20097891025468517, -0.05907318519121891, 0.16751197175769023, 0.07005518224988398, 0.07505718561611613, 0.3284232717349517, 0.2100561990697241, 0.05592678349503145, 0.057707353698194255, -0.04963603878645607, -0.12521385100292404, -0.40593387616669985, -0.0854226431847379, -0.10176263772288566, 0.05032314860638545, -0.13571840701404989, -0.08087253964943242, 0.43600094976017667, 0.16029880729941082, 0.2466978811925011, 0.03896865177405428, 0.21482703927429203, 0.0639730847561827, 0.11372765007058197, 0.004998625227611284, 0.2651537072711757, 0.09416799852386953, 0.06612206695658364, -0.20759739666435945, -0.07501167046590423, 0.07857264489011496] |
710.3797 | Two-dimensional magnetoexcitons in the presence of spin-orbit coupling | We study theoretically the effect of spin-orbit coupling on quantum well
excitons in a strong magnetic field. We show that, in the presence of an
in-plane field component, the excitonic absorption spectrum develops a
double-peak structure due to hybridization of bright and dark magnetoexcitons.
If the Rashba and Dresselhaus spin-orbit constants are comparable, the
magnitude of splitting can be tuned in a wide interval by varying the azimuthal
angle of the in-plane field. We also show that the interplay between spin-orbit
and Coulomb interactions leads to an anisotropy of exciton energy dispersion in
the momentum plane. The results suggest a way for direct optical measurements
of spin-orbit parameters.
| cond-mat.mes-hall | we study theoretically the effect of spinorbit coupling on quantum well excitons in a strong magnetic field we show that in the presence of an inplane field component the excitonic absorption spectrum develops a doublepeak structure due to hybridization of bright and dark magnetoexcitons if the rashba and dresselhaus spinorbit constants are comparable the magnitude of splitting can be tuned in a wide interval by varying the azimuthal angle of the inplane field we also show that the interplay between spinorbit and coulomb interactions leads to an anisotropy of exciton energy dispersion in the momentum plane the results suggest a way for direct optical measurements of spinorbit parameters | [['we', 'study', 'theoretically', 'the', 'effect', 'of', 'spinorbit', 'coupling', 'on', 'quantum', 'well', 'excitons', 'in', 'a', 'strong', 'magnetic', 'field', 'we', 'show', 'that', 'in', 'the', 'presence', 'of', 'an', 'inplane', 'field', 'component', 'the', 'excitonic', 'absorption', 'spectrum', 'develops', 'a', 'doublepeak', 'structure', 'due', 'to', 'hybridization', 'of', 'bright', 'and', 'dark', 'magnetoexcitons', 'if', 'the', 'rashba', 'and', 'dresselhaus', 'spinorbit', 'constants', 'are', 'comparable', 'the', 'magnitude', 'of', 'splitting', 'can', 'be', 'tuned', 'in', 'a', 'wide', 'interval', 'by', 'varying', 'the', 'azimuthal', 'angle', 'of', 'the', 'inplane', 'field', 'we', 'also', 'show', 'that', 'the', 'interplay', 'between', 'spinorbit', 'and', 'coulomb', 'interactions', 'leads', 'to', 'an', 'anisotropy', 'of', 'exciton', 'energy', 'dispersion', 'in', 'the', 'momentum', 'plane', 'the', 'results', 'suggest', 'a', 'way', 'for', 'direct', 'optical', 'measurements', 'of', 'spinorbit', 'parameters']] | [-0.2473044905345887, 0.17876150351717282, -0.030054968711165538, 0.05895954478290622, -0.07724731290471498, -0.09430949990120199, -0.005066150580575966, 0.4474425268256002, -0.3019060907299044, -0.3301396443836253, -0.09228718654183601, -0.2538942824359293, -0.11651553432629616, 0.20683678124030982, 0.08146202613392638, -0.05519685087966974, 0.013720087896756552, -0.08710510908470799, -0.07676365908183572, -0.1805973940332748, 0.3376894710171554, 0.00554066858711411, 0.27125756901309445, 0.16388469637820013, 0.037754714480359795, 0.03896424018441596, 0.12024198539330866, 0.02498954451099659, -0.13850175522559396, 0.059527547266851694, 0.17623666869648905, -0.14294404761124127, 0.21437382806713381, -0.39570643683826484, -0.15783950434652744, 0.03373488414756678, 0.17165508932278803, 0.17967941669781726, -0.07462770650831603, -0.3016519855785494, -0.010626321178278886, -0.16121326576858, -0.12321080861578661, -0.08227482962387579, 0.020156766976773117, 0.020863977646782855, -0.295870200358439, 0.11001378941728035, 0.05499244148571355, 0.08986571304396623, -0.10731658923732876, -0.07495714700969446, -0.09336793917464092, 0.036918430783165, 0.10016135570455205, 0.04397347948569977, 0.13796228638212024, -0.17059577118790778, -0.1018993131497323, 0.380344417894742, -0.16086020993275774, -0.14085351974979318, 0.128842062101251, -0.18268390495925108, -0.016908764688263613, 0.14894490348416622, 0.16589440945622133, 0.07348924429431834, -0.07084136063079953, 0.11637172295067338, -0.02672397367078466, 0.2046801309549698, 0.0015603280836431724, 0.11905097938789469, 0.28278782506714817, 0.11855884780891722, 0.07314046004493893, 0.11847244254938603, -0.16894063803893342, -0.047097103790966446, -0.22976041342028314, -0.14450104848516207, -0.21864587130322535, 0.06892625898709176, -0.09166711413867974, -0.15235688411458223, 0.4338913741082285, 0.14433008184897955, 0.21419729793625367, -0.06227739146669154, 0.2785721293012439, 0.1345441026442805, 0.08431956184924477, 0.011168626732089453, 0.38120813433218886, 0.21924697664885404, 0.06342173371188066, -0.35955893914905135, 0.023709506594093033, -0.03878656066997253] |
710.3798 | The moduli space of parallelizable 4-manifolds | In this paper we construct the space of smooth 4-manifolds and find the
homotopy model for the connected components of the complement to the
discriminant.
The discriminant of this space is a singular hypersurface and its generic
points correspond to manifolds with isolated Morse singularities.
These spaces can be considered as a natural base for the recent theories
studying invariants for families. We show that the theory of Bauer and Furuta
can be raised to parametrized families on our configurational space and their
invariant is the step-function on chambers.
We also introduce the definition of the invariant of finite type and give a
simple example of an invariant of order one.
| math.GT math-ph math.MP | in this paper we construct the space of smooth 4manifolds and find the homotopy model for the connected components of the complement to the discriminant the discriminant of this space is a singular hypersurface and its generic points correspond to manifolds with isolated morse singularities these spaces can be considered as a natural base for the recent theories studying invariants for families we show that the theory of bauer and furuta can be raised to parametrized families on our configurational space and their invariant is the stepfunction on chambers we also introduce the definition of the invariant of finite type and give a simple example of an invariant of order one | [['in', 'this', 'paper', 'we', 'construct', 'the', 'space', 'of', 'smooth', '4manifolds', 'and', 'find', 'the', 'homotopy', 'model', 'for', 'the', 'connected', 'components', 'of', 'the', 'complement', 'to', 'the', 'discriminant', 'the', 'discriminant', 'of', 'this', 'space', 'is', 'a', 'singular', 'hypersurface', 'and', 'its', 'generic', 'points', 'correspond', 'to', 'manifolds', 'with', 'isolated', 'morse', 'singularities', 'these', 'spaces', 'can', 'be', 'considered', 'as', 'a', 'natural', 'base', 'for', 'the', 'recent', 'theories', 'studying', 'invariants', 'for', 'families', 'we', 'show', 'that', 'the', 'theory', 'of', 'bauer', 'and', 'furuta', 'can', 'be', 'raised', 'to', 'parametrized', 'families', 'on', 'our', 'configurational', 'space', 'and', 'their', 'invariant', 'is', 'the', 'stepfunction', 'on', 'chambers', 'we', 'also', 'introduce', 'the', 'definition', 'of', 'the', 'invariant', 'of', 'finite', 'type', 'and', 'give', 'a', 'simple', 'example', 'of', 'an', 'invariant', 'of', 'order', 'one']] | [-0.1559146071431806, 0.07861797056731931, -0.12496406175531782, 0.07430675254950116, -0.07780238962522498, -0.1037461642209474, -0.012215232128394884, 0.30141562804881783, -0.2815564473470052, -0.2472430015536579, 0.1044884918012178, -0.25455331543108095, -0.1731281402501957, 0.1947194744669203, -0.13010712960516815, 0.0250967592499135, 0.01776418253057846, 0.0780046774695317, -0.10767552571010415, -0.2822005709377327, 0.4430219950196375, -0.02745984250528587, 0.19421339295910034, 0.07055883461122846, 0.12850180833373923, -0.03085396528193677, -0.01931158193126992, 0.05364557939528085, -0.17450912440488553, 0.1794961666717689, 0.26325331214681136, 0.08761067084783504, 0.17347317403769708, -0.35716125922831327, -0.2111207077799885, 0.18411263031885028, 0.11813902825133892, 0.06236194725869945, 0.004261821145527401, -0.28400711742070345, 0.11571178253454802, -0.14758340615007254, -0.19006690074404417, -0.13596891122240876, 0.015645409565049787, 0.015669949730304448, -0.23323509986260654, -0.010890298657515715, 0.09040265628514257, 0.08511483549299809, -0.06489074581432752, -0.06682970865654785, -0.03750178320459216, 0.08266825241934475, 0.021583726473345614, 0.05463088694372558, 0.07538865613625259, -0.06047923286101437, -0.12467168852988933, 0.3642086010354965, -0.05488006870979695, -0.26807445423627224, 0.1913064752342515, -0.09226689238084464, -0.1597690972486964, 0.07946081643689189, 0.14801131263543088, 0.17356499722059648, -0.048574831919862074, 0.15129340317274384, -0.07119153960196821, 0.0736992462487841, 0.06892784852702338, -0.003338264708348491, 0.17854772175888758, 0.11730623251112464, 0.10011617156097756, 0.1404567748488573, -0.031949335780531704, -0.06580494089326863, -0.3546457612836683, -0.22486479806101267, -0.14895545025901483, 0.07489432030365811, -0.09969109979703045, -0.217204214828844, 0.4418978848628834, 0.04960759406959688, 0.24642866550365816, 0.10344593985392167, 0.23176266850593188, 0.09083202358352037, 0.03683700012504584, 0.044357038925292795, 0.18582540358676836, 0.1472102050409392, 0.012273570900229184, -0.14737592495742952, -0.021900556843123725, 0.146892484025778] |
710.3799 | On the Physics Case of a Super Flavour Factory | We summarize the physics case of a high-luminosity e+e- flavour factory
collecting an integrated luminosity of 50-75 ab^(-1). Many New Physics
sensitive measurements involving B and D mesons and tau leptons, unique to a
Super Flavour Factory, can be performed with excellent sensitivity to new
particles with masses up to ~100 (or even ~1000 TeV). Flavour- and CP-violating
couplings of new particles that may be discovered at the LHC can be measured in
most scenarios, even in unfavourable cases assuming minimal flavour violation.
Together with the LHC, a Super Flavour Factory, following either the SuperKEKB
or the SuperB proposal, could be soon starting the project of reconstructing
the New Physics Lagrangian.
| hep-ph hep-ex | we summarize the physics case of a highluminosity ee flavour factory collecting an integrated luminosity of 5075 ab1 many new physics sensitive measurements involving b and d mesons and tau leptons unique to a super flavour factory can be performed with excellent sensitivity to new particles with masses up to 100 or even 1000 tev flavour and cpviolating couplings of new particles that may be discovered at the lhc can be measured in most scenarios even in unfavourable cases assuming minimal flavour violation together with the lhc a super flavour factory following either the superkekb or the superb proposal could be soon starting the project of reconstructing the new physics lagrangian | [['we', 'summarize', 'the', 'physics', 'case', 'of', 'a', 'highluminosity', 'ee', 'flavour', 'factory', 'collecting', 'an', 'integrated', 'luminosity', 'of', '5075', 'ab1', 'many', 'new', 'physics', 'sensitive', 'measurements', 'involving', 'b', 'and', 'd', 'mesons', 'and', 'tau', 'leptons', 'unique', 'to', 'a', 'super', 'flavour', 'factory', 'can', 'be', 'performed', 'with', 'excellent', 'sensitivity', 'to', 'new', 'particles', 'with', 'masses', 'up', 'to', '100', 'or', 'even', '1000', 'tev', 'flavour', 'and', 'cpviolating', 'couplings', 'of', 'new', 'particles', 'that', 'may', 'be', 'discovered', 'at', 'the', 'lhc', 'can', 'be', 'measured', 'in', 'most', 'scenarios', 'even', 'in', 'unfavourable', 'cases', 'assuming', 'minimal', 'flavour', 'violation', 'together', 'with', 'the', 'lhc', 'a', 'super', 'flavour', 'factory', 'following', 'either', 'the', 'superkekb', 'or', 'the', 'superb', 'proposal', 'could', 'be', 'soon', 'starting', 'the', 'project', 'of', 'reconstructing', 'the', 'new', 'physics', 'lagrangian']] | [-0.04599209921015007, 0.2710320498546017, -0.05888374715724641, 0.12885814054915262, -0.09076827975107474, -0.24462424668793878, 0.02773076156364032, 0.29881968975553774, -0.2361358755555524, -0.3446126261910608, 0.09362009610836017, -0.32747449598333855, 0.06622300617059122, 0.16189693806793642, 0.04947723405486023, 0.06456869677535619, 0.1353270436609835, -0.0496487092092499, -0.08597872878827557, -0.2525384882590859, 0.19010424336863194, 0.10069737162206087, 0.1553938892074265, 0.0765736320450365, 0.039145330724365136, -0.04372358298650733, -0.03927141705292973, -0.026794761743256637, -0.05443418278760824, 0.03850225668908139, 0.24119291453085304, 0.15466616232669703, 0.09742113670988663, -0.38097642520694314, -0.06159908486832235, 0.21371272318316875, 0.16106187921806095, 0.06320611464681926, -0.10536775920699509, -0.3462187497947902, 0.0997263893048774, -0.20898404046221897, -0.19293062131734448, -0.0481137045206049, -0.0075320238415319644, -0.08693430241960864, -0.3597223467050909, 0.02890048102425361, -0.09248517892902365, 0.04475935939741363, 0.048337878556586465, -0.19407159654617095, -1.1026185962396699e-05, -0.0008759072788798057, 0.0782279939105449, 0.07006191793590079, 0.15828833855722133, -0.21228075572834895, -0.21837004685254247, 0.4090410332354876, -0.044253772569333646, -0.1013423624272282, 0.2548511030806883, -0.2515300658976172, -0.1923429408815463, 0.08597704749722201, 0.2690351575482972, 0.04225071700843605, -0.2410585478132775, 0.12778902611630205, -0.02195667810706623, 0.12223969516344368, 0.06568788372919904, 0.07771058717893588, 0.2769974136162918, 0.2590571087145305, 0.0691872648962958, 0.019997479523079016, -0.10133751847378507, 0.02386388355480121, -0.44874363845667326, -0.11789742357156298, -0.07312586685843966, 0.11714334192744515, -0.04459547426361225, -0.002767703785384829, 0.41079017521628924, 0.08114610570965351, 0.23452310530082868, -0.038437755325356045, 0.22358394196877876, 0.04113871187101714, 0.09914080346022053, 0.04940169787051173, 0.3257415103432429, 0.08782569081144961, 0.16356635100820716, -0.2025273163207211, 0.0029182195000618965, 0.015392744527743743] |
710.38 | Community Detection via Facility Location | In this paper we apply theoretical and practical results from facility
location theory to the problem of community detection in networks. The result
is an algorithm that computes bounds on a minimization variant of local
modularity. We also define the concept of an edge support and a new measure of
the goodness of community structures with respect to this concept. We present
preliminary results and note that our methods are massively parallelizable.
| physics.soc-ph physics.data-an | in this paper we apply theoretical and practical results from facility location theory to the problem of community detection in networks the result is an algorithm that computes bounds on a minimization variant of local modularity we also define the concept of an edge support and a new measure of the goodness of community structures with respect to this concept we present preliminary results and note that our methods are massively parallelizable | [['in', 'this', 'paper', 'we', 'apply', 'theoretical', 'and', 'practical', 'results', 'from', 'facility', 'location', 'theory', 'to', 'the', 'problem', 'of', 'community', 'detection', 'in', 'networks', 'the', 'result', 'is', 'an', 'algorithm', 'that', 'computes', 'bounds', 'on', 'a', 'minimization', 'variant', 'of', 'local', 'modularity', 'we', 'also', 'define', 'the', 'concept', 'of', 'an', 'edge', 'support', 'and', 'a', 'new', 'measure', 'of', 'the', 'goodness', 'of', 'community', 'structures', 'with', 'respect', 'to', 'this', 'concept', 'we', 'present', 'preliminary', 'results', 'and', 'note', 'that', 'our', 'methods', 'are', 'massively', 'parallelizable']] | [-0.08536385828241085, 0.0041562117957154344, -0.12489615033458297, 0.0351870042165198, -0.09955809588751031, -0.07377919535307835, 0.05988037593003052, 0.4127994163427502, -0.2891376630286686, -0.3107409237458746, 0.09009877014452489, -0.24622099064031822, -0.2462669180887234, 0.21396025634991625, -0.1199016193956292, 0.052731627068068415, 0.11447179272201741, 0.024938208878868155, -0.04929899193424111, -0.25248293804987854, 0.33643214943327215, 0.1220116396046554, 0.2905345734777964, 0.13097141093264023, 0.05771817571561163, -0.02348492652122837, -0.05107602334788276, 0.05644489240108265, -0.16477723981471273, 0.21352552491751137, 0.2289971138557626, 0.23992466149825808, 0.31393987896283054, -0.3935750051556776, -0.13322285643274276, 0.1074926942852067, 0.09813924099499774, 0.12486002827063203, -0.06025937011872884, -0.26630135537642574, 0.14231955561424708, -0.1704513506912109, -0.1380310982802055, -0.08774403003109102, -0.055349814362772226, 0.007177075992027919, -0.2617210987955332, 0.011716668820251167, 0.05672548914379957, 0.04075427429698822, -0.08202295085518724, -0.10122335096174437, 0.09722604716726993, 0.08584405569773582, 0.017506416224124324, 0.036768579907301396, 0.07787920793958215, -0.1000301262894128, -0.2009181477802081, 0.3637228858812402, -0.07341170617534469, -0.1875087190451773, 0.18648316249406585, -0.05163012890605185, -0.2292059527794158, 0.060691742362299315, 0.23289916848686212, 0.16168192670577103, -0.11596956141713438, 0.05734647078740333, -0.1150464606536035, 0.14052239114729068, -0.006082838006679797, 0.007465482346661802, 0.1282263833305074, 0.19841065938817337, 0.15498469024896622, 0.16702227930202046, -0.0980451251735859, -0.0635528815457494, -0.3008355411261113, -0.17641767205592865, -0.20712149087274964, -0.06311916976442768, -0.06254599593234565, -0.17762887301796582, 0.4335013906626652, 0.21359630559001946, 0.18574339663933237, 0.13343834620900452, 0.3203711459613664, 0.07906810605102994, 0.012394894588699875, 0.08728998016643648, 0.1918072956549521, 0.1298800533145873, 0.08027972180085878, -0.16103007883793907, 0.04220067261485383, 0.05517963506928128] |
710.3801 | Levi-flat hypersurfaces with real analytic boundary | Let $X$ be a Stein manifold of dimension at least 3. Given a compact
codimension 2 real analytic submanifold $M$ of $X$, that is the boundary of a
compact Levi-flat hypersurface $H$, we study the regularity of $H$. Suppose
that the CR singularities of $M$ are an $\mathcal{O}(X)$-convex set. For
example, suppose $M$ has only finitely many CR singularities, which is a
generic condition. Then $H$ must in fact be a real analytic submanifold. If $M$
is real algebraic, it follows that $H$ is real algebraic and in fact extends
past $M$, even near CR singularities. To prove these results we provide two
variations on a theorem of Malgrange, that a smooth submanifold contained in a
real analytic subvariety of the same dimension is itself real analytic. We
prove a similar theorem for submanifolds with boundary, and another one for
subanalytic sets.
| math.CV math.AP | let x be a stein manifold of dimension at least 3 given a compact codimension 2 real analytic submanifold m of x that is the boundary of a compact leviflat hypersurface h we study the regularity of h suppose that the cr singularities of m are an mathcaloxconvex set for example suppose m has only finitely many cr singularities which is a generic condition then h must in fact be a real analytic submanifold if m is real algebraic it follows that h is real algebraic and in fact extends past m even near cr singularities to prove these results we provide two variations on a theorem of malgrange that a smooth submanifold contained in a real analytic subvariety of the same dimension is itself real analytic we prove a similar theorem for submanifolds with boundary and another one for subanalytic sets | [['let', 'x', 'be', 'a', 'stein', 'manifold', 'of', 'dimension', 'at', 'least', '3', 'given', 'a', 'compact', 'codimension', '2', 'real', 'analytic', 'submanifold', 'm', 'of', 'x', 'that', 'is', 'the', 'boundary', 'of', 'a', 'compact', 'leviflat', 'hypersurface', 'h', 'we', 'study', 'the', 'regularity', 'of', 'h', 'suppose', 'that', 'the', 'cr', 'singularities', 'of', 'm', 'are', 'an', 'mathcaloxconvex', 'set', 'for', 'example', 'suppose', 'm', 'has', 'only', 'finitely', 'many', 'cr', 'singularities', 'which', 'is', 'a', 'generic', 'condition', 'then', 'h', 'must', 'in', 'fact', 'be', 'a', 'real', 'analytic', 'submanifold', 'if', 'm', 'is', 'real', 'algebraic', 'it', 'follows', 'that', 'h', 'is', 'real', 'algebraic', 'and', 'in', 'fact', 'extends', 'past', 'm', 'even', 'near', 'cr', 'singularities', 'to', 'prove', 'these', 'results', 'we', 'provide', 'two', 'variations', 'on', 'a', 'theorem', 'of', 'malgrange', 'that', 'a', 'smooth', 'submanifold', 'contained', 'in', 'a', 'real', 'analytic', 'subvariety', 'of', 'the', 'same', 'dimension', 'is', 'itself', 'real', 'analytic', 'we', 'prove', 'a', 'similar', 'theorem', 'for', 'submanifolds', 'with', 'boundary', 'and', 'another', 'one', 'for', 'subanalytic', 'sets']] | [-0.2237110094312605, 0.04419653589355492, -0.1018968711224061, 0.0767227566498827, -0.09501270877844686, -0.1745325217571717, -0.0579313291963322, 0.3389115092536131, -0.24557859498135587, -0.1691393464876352, 0.10939242361288465, -0.2839925761552567, -0.15351533488839442, 0.2145777291945241, -0.12350004276009739, -0.03694144187574374, 0.10435618887199684, 0.11468418011072766, -0.07896411628957758, -0.3083084847064728, 0.4436182098872695, -0.12038760466487906, 0.14273418021117543, 0.08937258417685087, 0.12861007730086857, -0.025993593251795, 0.04160025998527277, 0.03451829698433809, -0.1540954829937141, 0.10698581780538174, 0.28386956530933577, 0.12138994155345974, 0.23348034448023383, -0.347464072432184, -0.2171127968831054, 0.20635957089880258, 0.1395418961492783, -0.04332666547972286, -0.004644745211975635, -0.26094012001384026, 0.18241506914363792, -0.05861957286689298, -0.2358818768543449, -0.04862824430464641, 0.10774383351127519, -0.03367020860347395, -0.28290886550824695, -0.032196452814742184, 0.126061770127069, 0.12050685753504224, -0.04758994229276605, -0.07235334176035162, -0.10169351195209785, 0.03965738586955935, -0.023955190192630635, 0.12375511366259703, 0.1026997414635534, 0.000794642281236378, -0.05791034461296302, 0.3292673910168786, -0.07556156333905796, -0.2787002589527174, 0.1806271668946278, -0.22657771767876672, -0.14508743147061914, 0.15874872334360918, 0.10391642979564185, 0.16378334206231732, -0.053972048618903395, 0.26988732836255475, -0.13833010376180052, 0.08878744295831267, 0.09149032098023181, -0.060606361723485144, 0.10888845826902077, 0.10479198139266553, 0.14605970948510175, 0.059675099308344914, -0.016298659590026694, 0.019812862937015, -0.3990570385841296, -0.2384945803358226, -0.21218338044664115, 0.22862790927707038, -0.14410981843235626, -0.18705396335704108, 0.3233252440493369, 0.008919540944621496, 0.26086830385425624, 0.06761377877539275, 0.26771646504230956, 0.05298402873357074, -0.01904209799641836, 0.14004736835242693, 0.0977401145311165, 0.14926441671683432, -0.004831674313899262, -0.06949544150930506, -0.02268580647832747, 0.12103970571097436] |
710.3802 | A Posteriori Equivalence: A New Perspective for Design of Optimal
Channel Shortening Equalizers | The problem of channel shortening equalization for optimal detection in ISI
channels is considered. The problem is to choose a linear equalizer and a
partial response target filter such that the combination produces the best
detection performance. Instead of using the traditional approach of MMSE
equalization, we directly seek all equalizer and target pairs that yield
optimal detection performance in terms of the sequence or symbol error rate.
This leads to a new notion of a posteriori equivalence between the equalized
and target channels with a simple characterization in terms of their underlying
probability distributions. Using this characterization we show the surprising
existence an infinite family of equalizer and target pairs for which any
maximum a posteriori (MAP) based detector designed for the target channel is
simultaneously MAP optimal for the equalized channel. For channels whose input
symbols have equal energy, such as q-PSK, the MMSE equalizer designed with a
monic target constraint yields a solution belonging to this optimal family of
designs. Although, these designs produce IIR target filters, the ideas are
extended to design good FIR targets. For an arbitrary choice of target and
equalizer, we derive an expression for the probability of sequence detection
error. This expression is used to design optimal FIR targets and IIR equalizers
and to quantify the FIR approximation penalty.
| cs.IT math.IT | the problem of channel shortening equalization for optimal detection in isi channels is considered the problem is to choose a linear equalizer and a partial response target filter such that the combination produces the best detection performance instead of using the traditional approach of mmse equalization we directly seek all equalizer and target pairs that yield optimal detection performance in terms of the sequence or symbol error rate this leads to a new notion of a posteriori equivalence between the equalized and target channels with a simple characterization in terms of their underlying probability distributions using this characterization we show the surprising existence an infinite family of equalizer and target pairs for which any maximum a posteriori map based detector designed for the target channel is simultaneously map optimal for the equalized channel for channels whose input symbols have equal energy such as qpsk the mmse equalizer designed with a monic target constraint yields a solution belonging to this optimal family of designs although these designs produce iir target filters the ideas are extended to design good fir targets for an arbitrary choice of target and equalizer we derive an expression for the probability of sequence detection error this expression is used to design optimal fir targets and iir equalizers and to quantify the fir approximation penalty | [['the', 'problem', 'of', 'channel', 'shortening', 'equalization', 'for', 'optimal', 'detection', 'in', 'isi', 'channels', 'is', 'considered', 'the', 'problem', 'is', 'to', 'choose', 'a', 'linear', 'equalizer', 'and', 'a', 'partial', 'response', 'target', 'filter', 'such', 'that', 'the', 'combination', 'produces', 'the', 'best', 'detection', 'performance', 'instead', 'of', 'using', 'the', 'traditional', 'approach', 'of', 'mmse', 'equalization', 'we', 'directly', 'seek', 'all', 'equalizer', 'and', 'target', 'pairs', 'that', 'yield', 'optimal', 'detection', 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710.3803 | Massive expanding torus and fast outflow in planetary nebula NGC 6302 | We present interferometric observations of $^{12}$CO and $^{13}$CO $J$=2$-$1
emission from the butterfly-shaped, young planetary nebula NGC 6302. The high
angular resolution and high sensitivity achieved in our observations allow us
to resolve the nebula into two distinct kinematic components: (1) a massive
expanding torus seen almost edge-on and oriented in the North-South direction,
roughly perpendicular to the optical nebula axis. The torus exhibits very
complex and fragmentated structure; (2) high velocity molecular knots moving at
high velocity, higher than 20 \kms, and located in the optical bipolar lobes.
These knots show a linear position-velocity gradient (Hubble-like flow), which
is characteristic of fast molecular outflow in young planetary nebulae. From
the low but variable $^{12}$CO/$^{13}$CO $J$=2$-$1 line intensity ratio we
conclude that the $^{12}$CO $J$=2$-$1 emission is optically thick over much of
the nebula. Using the optically thinner line $^{13}$CO $J$=2$-$1 we estimate a
total molecular gas mass of $\sim$ 0.1 M$_\odot$, comparable to the ionized gas
mass; the total gas mass of the NGC 6302 nebula, including the massive ionized
gas from photon dominated region, is found to be $\sim$ 0.5 M$_\odot$. From
radiative transfer modelling we infer that the torus is seen at inclination
angle of 75$^\circ$ with respect to the plane of the sky and expanding at
velocity of 15 \kms. Comparison with recent observations of molecular gas in
NGC 6302 is also discussed.
| astro-ph | we present interferometric observations of 12co and 13co j21 emission from the butterflyshaped young planetary nebula ngc 6302 the high angular resolution and high sensitivity achieved in our observations allow us to resolve the nebula into two distinct kinematic components 1 a massive expanding torus seen almost edgeon and oriented in the northsouth direction roughly perpendicular to the optical nebula axis the torus exhibits very complex and fragmentated structure 2 high velocity molecular knots moving at high velocity higher than 20 kms and located in the optical bipolar lobes these knots show a linear positionvelocity gradient hubblelike flow which is characteristic of fast molecular outflow in young planetary nebulae from the low but variable 12co13co j21 line intensity ratio we conclude that the 12co j21 emission is optically thick over much of the nebula using the optically thinner line 13co j21 we estimate a total molecular gas mass of sim 01 m_odot comparable to the ionized gas mass the total gas mass of the ngc 6302 nebula including the massive ionized gas from photon dominated region is found to be sim 05 m_odot from radiative transfer modelling we infer that the torus is seen at inclination angle of 75circ with respect to the plane of the sky and expanding at velocity of 15 kms comparison with recent observations of molecular gas in ngc 6302 is also discussed | [['we', 'present', 'interferometric', 'observations', 'of', '12co', 'and', '13co', 'j21', 'emission', 'from', 'the', 'butterflyshaped', 'young', 'planetary', 'nebula', 'ngc', '6302', 'the', 'high', 'angular', 'resolution', 'and', 'high', 'sensitivity', 'achieved', 'in', 'our', 'observations', 'allow', 'us', 'to', 'resolve', 'the', 'nebula', 'into', 'two', 'distinct', 'kinematic', 'components', '1', 'a', 'massive', 'expanding', 'torus', 'seen', 'almost', 'edgeon', 'and', 'oriented', 'in', 'the', 'northsouth', 'direction', 'roughly', 'perpendicular', 'to', 'the', 'optical', 'nebula', 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710.3804 | Random subcubes as a toy model for constraint satisfaction problems | We present an exactly solvable random-subcube model inspired by the structure
of hard constraint satisfaction and optimization problems. Our model reproduces
the structure of the solution space of the random k-satisfiability and
k-coloring problems, and undergoes the same phase transitions as these
problems. The comparison becomes quantitative in the large-k limit. Distance
properties, as well the x-satisfiability threshold, are studied. The model is
also generalized to define a continuous energy landscape useful for studying
several aspects of glassy dynamics.
| cs.CC cond-mat.dis-nn | we present an exactly solvable randomsubcube model inspired by the structure of hard constraint satisfaction and optimization problems our model reproduces the structure of the solution space of the random ksatisfiability and kcoloring problems and undergoes the same phase transitions as these problems the comparison becomes quantitative in the largek limit distance properties as well the xsatisfiability threshold are studied the model is also generalized to define a continuous energy landscape useful for studying several aspects of glassy dynamics | [['we', 'present', 'an', 'exactly', 'solvable', 'randomsubcube', 'model', 'inspired', 'by', 'the', 'structure', 'of', 'hard', 'constraint', 'satisfaction', 'and', 'optimization', 'problems', 'our', 'model', 'reproduces', 'the', 'structure', 'of', 'the', 'solution', 'space', 'of', 'the', 'random', 'ksatisfiability', 'and', 'kcoloring', 'problems', 'and', 'undergoes', 'the', 'same', 'phase', 'transitions', 'as', 'these', 'problems', 'the', 'comparison', 'becomes', 'quantitative', 'in', 'the', 'largek', 'limit', 'distance', 'properties', 'as', 'well', 'the', 'xsatisfiability', 'threshold', 'are', 'studied', 'the', 'model', 'is', 'also', 'generalized', 'to', 'define', 'a', 'continuous', 'energy', 'landscape', 'useful', 'for', 'studying', 'several', 'aspects', 'of', 'glassy', 'dynamics']] | [-0.10359169897175842, 0.08426694306654571, -0.08629909575638639, 0.12513682098194426, -0.049919161522252994, -0.12251380405860482, 0.03631744999136147, 0.35698094905970934, -0.3395883096502973, -0.3235993342982097, 0.11555066410687982, -0.26598875918848947, -0.1866073033639363, 0.15817801727211805, -0.013131893088726641, 0.09600102560376966, 0.038078765747705835, 0.026137171948915225, -0.07490733461817364, -0.17913880013534195, 0.2844249246303331, 0.03926794063269656, 0.26011632586067374, 0.06855123155665668, 0.09307401250539855, 0.027569197882068883, 0.06271251390821167, 0.08695883689071778, -0.17149050736969168, 0.060218695889819755, 0.2339765207430759, 0.1279590782745705, 0.24737112427904429, -0.38374392651989087, -0.2697419324502736, 0.12014157183516722, 0.11025259712357195, 0.0922614335771892, -0.016103929041751792, -0.2612344887978458, 0.028451042904445976, -0.1131952242054916, -0.14473916783130594, -0.0852978788074348, -0.0027399571951140056, 0.02491227648668475, -0.24579941357225904, 0.07866377640529174, 0.0574563492048689, -0.003691397291956267, -0.09505939674745133, -0.10964446294714104, 0.013601518855974465, 0.14462178862463174, 0.030974112358851384, 0.019524326699169037, 0.10214779617313247, -0.15977681531002383, -0.15777112854426945, 0.44952308997366724, -0.018962352270526544, -0.16291134744011737, 0.17429814354044856, -0.06916866404935718, -0.18599815113324816, 0.11264510222033343, 0.14625825294499079, 0.1541860881563905, -0.14163391081186907, 0.13242209295503335, -0.055170086575309175, 0.15515643292917058, 0.007013175754457131, 0.02321501954325608, 0.15803947786244188, 0.21691048771820284, 0.0708928005875681, 0.22733188870471793, -0.014189919795502316, -0.18888166682286697, -0.2941871205610888, -0.08569922443334159, -0.16807043167774555, -0.0017862927105108445, -0.1194879698936371, -0.19715190348941108, 0.4203282963278909, 0.12023688289155433, 0.21931161765347829, 0.08258696369730033, 0.24971429644116236, 0.15439866038565464, -0.0234664053680351, 0.054537774595831125, 0.21098589917112673, 0.16011912941739156, 0.0838235148603653, -0.21398941134767874, 0.0657379918114899, 0.09190639225741873] |
710.3805 | Cherenkov Flashes and Fluorescence Flares on Telescopes: New lights on
UHECR Spectroscopy while unveiling Neutrinos Astronomy | Cherenkov Telescopes (as Magic, Hess and Veritas), while pointing
horizontally should reveal also the fluorescence flare tails of nearby
down-going air-showers. Such air-showers, born at higher (tens km) altitudes,
are growing and extending up to lowest atmospheres (EeVs) or up to higher (few
km) quotas (PeVs). Viceversa, as it has been foreseen and only recently
observed, the opposite takes place. Fluorescence Telescopes made for UHECR
detection may be blazed by inclined Cherenkov lights. The geomagnetic splitting
may tag the energy as well as the inclined shower footprint as seen in a recent
peculiar event in AUGER. Additional stereoscopic detection may define the event
origination distance and its consequent primary composition, extending our
understanding on UHECR composition, while unveling a novel tau Neutrino
Astronomy.
| astro-ph hep-ph | cherenkov telescopes as magic hess and veritas while pointing horizontally should reveal also the fluorescence flare tails of nearby downgoing airshowers such airshowers born at higher tens km altitudes are growing and extending up to lowest atmospheres eevs or up to higher few km quotas pevs viceversa as it has been foreseen and only recently observed the opposite takes place fluorescence telescopes made for uhecr detection may be blazed by inclined cherenkov lights the geomagnetic splitting may tag the energy as well as the inclined shower footprint as seen in a recent peculiar event in auger additional stereoscopic detection may define the event origination distance and its consequent primary composition extending our understanding on uhecr composition while unveling a novel tau neutrino astronomy | [['cherenkov', 'telescopes', 'as', 'magic', 'hess', 'and', 'veritas', 'while', 'pointing', 'horizontally', 'should', 'reveal', 'also', 'the', 'fluorescence', 'flare', 'tails', 'of', 'nearby', 'downgoing', 'airshowers', 'such', 'airshowers', 'born', 'at', 'higher', 'tens', 'km', 'altitudes', 'are', 'growing', 'and', 'extending', 'up', 'to', 'lowest', 'atmospheres', 'eevs', 'or', 'up', 'to', 'higher', 'few', 'km', 'quotas', 'pevs', 'viceversa', 'as', 'it', 'has', 'been', 'foreseen', 'and', 'only', 'recently', 'observed', 'the', 'opposite', 'takes', 'place', 'fluorescence', 'telescopes', 'made', 'for', 'uhecr', 'detection', 'may', 'be', 'blazed', 'by', 'inclined', 'cherenkov', 'lights', 'the', 'geomagnetic', 'splitting', 'may', 'tag', 'the', 'energy', 'as', 'well', 'as', 'the', 'inclined', 'shower', 'footprint', 'as', 'seen', 'in', 'a', 'recent', 'peculiar', 'event', 'in', 'auger', 'additional', 'stereoscopic', 'detection', 'may', 'define', 'the', 'event', 'origination', 'distance', 'and', 'its', 'consequent', 'primary', 'composition', 'extending', 'our', 'understanding', 'on', 'uhecr', 'composition', 'while', 'unveling', 'a', 'novel', 'tau', 'neutrino', 'astronomy']] | [-0.07861938461476614, 0.26457965319345067, -0.011375860272606543, 0.15819237029472413, -0.11899556804155885, -0.09306946035266724, -0.016898346379830325, 0.44439509916787945, -0.20452257461676543, -0.42042968409859444, 0.07120043573244898, -0.33754689732474114, -0.014350776427833379, 0.2072254314783899, -0.006494674684907009, -0.009507626203208207, 0.14200586982625574, -0.022892677096249765, -0.013864383659487174, -0.16965715215975094, 0.15747937704397996, 0.24441426472107242, 0.20051547995968608, 0.10459975437992368, 0.1111356346513922, -0.04957664780480372, -0.06255274895224566, -0.05846238795144499, -0.007667500471834801, 0.048642499726419604, 0.24608676380300817, 0.13124727410450002, 0.1750080163921576, -0.40001366453722487, -0.24596662754346885, 0.07258895522345257, 0.20091207408199996, -0.034241600876600935, -0.030573754603127865, -0.3785613292581902, 0.027693846332263357, -0.22195748090436143, -0.19679361736894516, 0.05431222499248164, -0.031102050026524657, 0.040636478041968314, -0.16082246586187812, -0.01276169846066243, 0.01596935895898895, 0.09746929861736014, -0.03985684123929313, -0.17573565748050685, -0.032345426780718174, 0.10472467642716202, 0.11600767086261946, 0.0395619109780951, 0.15128059113544434, -0.10025936358970058, -0.10620080352537642, 0.38165534850525523, -0.05288408333935952, -0.004685862197671547, 0.20876021324926294, -0.2247792264131044, -0.16683988484230725, 0.21791837891671528, 0.19957195198517447, 0.08333354217023396, -0.14631181270315136, -0.011387630971918299, 0.001154385634105314, 0.14947284306861336, 0.16628643864581039, 0.024227436531858503, 0.32549240540189683, 0.18830948973590247, 0.1763561979063194, 0.07513545345311046, -0.27912578458343595, 0.014473566531457684, -0.2392626244416999, -0.12003606343680362, -0.1274907662694858, 0.1210943818754278, -0.03238394323395842, -0.10613944658563157, 0.3732892148858629, 0.10363151506840228, 0.1664737231898591, -0.019318442052799808, 0.3321499598909108, 0.025099045160218828, 0.12308843077491384, 0.05039844469913889, 0.33987915620192394, 0.0950121079352184, 0.15759733002171045, -0.1532060309497963, 0.11917233083508755, 0.00723520743906929] |
710.3806 | Internal shocks in relativistic jets with time--dependent sources | We present a ballistic description of the formation and propagation of the
working surface of a relativistic jet. Using simple laws of conservation of
mass and linear momentum at the working surface, we obtain a full description
of the working surface flow parametrised by the initial velocity and mass
injection rate. This allows us to compute analytically the energy release at
any time in the working surface. We compare this model with the results
obtained numerically through a new hydrodynamical code applied to the
propagation of a relativistic fluid in one dimension in order to test the
limits of our study. Finally, we compare our analytical results with observed
light curves of five long gamma ray bursts and show that our model is in very
good agreement with observations using simple periodic variations of the
injected velocity profiles. This simple method allows us to recover initial
mass discharge and energy output ejected during the burst.
| astro-ph | we present a ballistic description of the formation and propagation of the working surface of a relativistic jet using simple laws of conservation of mass and linear momentum at the working surface we obtain a full description of the working surface flow parametrised by the initial velocity and mass injection rate this allows us to compute analytically the energy release at any time in the working surface we compare this model with the results obtained numerically through a new hydrodynamical code applied to the propagation of a relativistic fluid in one dimension in order to test the limits of our study finally we compare our analytical results with observed light curves of five long gamma ray bursts and show that our model is in very good agreement with observations using simple periodic variations of the injected velocity profiles this simple method allows us to recover initial mass discharge and energy output ejected during the burst | [['we', 'present', 'a', 'ballistic', 'description', 'of', 'the', 'formation', 'and', 'propagation', 'of', 'the', 'working', 'surface', 'of', 'a', 'relativistic', 'jet', 'using', 'simple', 'laws', 'of', 'conservation', 'of', 'mass', 'and', 'linear', 'momentum', 'at', 'the', 'working', 'surface', 'we', 'obtain', 'a', 'full', 'description', 'of', 'the', 'working', 'surface', 'flow', 'parametrised', 'by', 'the', 'initial', 'velocity', 'and', 'mass', 'injection', 'rate', 'this', 'allows', 'us', 'to', 'compute', 'analytically', 'the', 'energy', 'release', 'at', 'any', 'time', 'in', 'the', 'working', 'surface', 'we', 'compare', 'this', 'model', 'with', 'the', 'results', 'obtained', 'numerically', 'through', 'a', 'new', 'hydrodynamical', 'code', 'applied', 'to', 'the', 'propagation', 'of', 'a', 'relativistic', 'fluid', 'in', 'one', 'dimension', 'in', 'order', 'to', 'test', 'the', 'limits', 'of', 'our', 'study', 'finally', 'we', 'compare', 'our', 'analytical', 'results', 'with', 'observed', 'light', 'curves', 'of', 'five', 'long', 'gamma', 'ray', 'bursts', 'and', 'show', 'that', 'our', 'model', 'is', 'in', 'very', 'good', 'agreement', 'with', 'observations', 'using', 'simple', 'periodic', 'variations', 'of', 'the', 'injected', 'velocity', 'profiles', 'this', 'simple', 'method', 'allows', 'us', 'to', 'recover', 'initial', 'mass', 'discharge', 'and', 'energy', 'output', 'ejected', 'during', 'the', 'burst']] | [-0.0926268213608813, 0.10923404861842433, -0.12087818745884203, 0.06386116139080016, -0.056646167676174836, -0.09142520828773418, 0.03930951937612507, 0.3619255952056377, -0.22454842601211802, -0.3289962972784715, 0.038109009000923365, -0.22792383464778052, -0.0577060921598346, 0.24910275264673176, -0.009113559176424337, 0.0486803193125994, 0.08796371561775525, 0.0020159689469202873, -0.0959602354680218, -0.2125035033591332, 0.28928492420893764, 0.09961184312499338, 0.24561702538762362, 0.04121583649708379, 0.12544865929371407, -0.006652486240190845, -0.0515662201770371, 0.025926113720502585, -0.1980743415761202, 0.10585235780886104, 0.1673141575208114, 0.06846045527096477, 0.18574868483889487, -0.4404453574529579, -0.24533034915164595, 0.03924619646803025, 0.10543492729400074, 0.1347191329745035, -0.0751244106990916, -0.22228716955850683, 0.06925803416018043, -0.20054377221292066, -0.2000386123725724, -0.02715797028842292, -0.0030799550665242055, 0.05535483549258882, -0.25061514589094347, 0.09486103209952314, 0.011368013582860811, 0.022061491108709766, -0.10522781684544058, -0.016686057574265906, -0.05145001349099461, 0.12627618765203102, 0.06633532832669105, 0.015312276151211512, 0.1109724565409124, -0.11262385377570265, -0.058897822288676134, 0.40235472739403766, -0.11106940485018817, -0.15797780552999147, 0.21568713364822248, -0.19137179190405615, -0.09129730272407253, 0.16434119361182375, 0.21026657310524774, 0.10095705587657229, -0.14061528303540283, 0.026959472988927438, -0.03997694032206651, 0.1574299489868985, 0.06607478394383384, -0.04261158022230619, 0.20316590162655038, 0.16672605390870762, -0.005664126256540898, 0.12973663631841661, -0.15748801865115492, -0.05564882663273883, -0.34078005834092057, -0.1423069192096591, -0.1543620658978339, 0.06505130782362915, -0.09273959642469567, -0.12777003842375934, 0.4491993387379954, 0.15149498704159933, 0.2216506951819024, 0.08591171206621033, 0.30473319397518234, 0.12063744298197449, 0.0268408962375214, 0.13727757500845097, 0.24703017612769, 0.15676756843984607, 0.10785100316748984, -0.25947425154848924, 0.019459207313916375, 0.044016969627550535] |
710.3807 | Directed destabilization of lysozyme in protic ionic liquids reveals a
compact, low energy, soluble, reversibly-unfolding (pre-fibril) state | Recent demonstrations of extraordinary stabilization of proteins in mobile
protic [1] and aprotic [2] ionic liquid solutions at ambient temperatures have
raised hopes of new biopreservation and drug transportation technologies. Here
we examine the relation of folded protein stability to the state of the
transferred proton [1], as determined by the N-H proton chemical shift, d(N-H).
We identify a range of d(N-H) in which the unfolded lysozyme refolds 97%.
Exceeding the stability range in the acid direction leads to the sudden
formation and stabilization of a small, soluble, amyloid form of lysozyme which
has its own stability range and which can again unfold/refold many times before
an irreversible process, fibrillization, occurs. The tightly bound amyloid form
of the lysozyme molecule, identified by circular dichroism spectra and dynamic
light scattering, must be of very low energy since the unfolding process
absorbs almost three times the enthalpy of normal lysozyme unfolding.
alpha-lactalbumin shows similar behavior.
| physics.bio-ph physics.chem-ph | recent demonstrations of extraordinary stabilization of proteins in mobile protic 1 and aprotic 2 ionic liquid solutions at ambient temperatures have raised hopes of new biopreservation and drug transportation technologies here we examine the relation of folded protein stability to the state of the transferred proton 1 as determined by the nh proton chemical shift dnh we identify a range of dnh in which the unfolded lysozyme refolds 97 exceeding the stability range in the acid direction leads to the sudden formation and stabilization of a small soluble amyloid form of lysozyme which has its own stability range and which can again unfoldrefold many times before an irreversible process fibrillization occurs the tightly bound amyloid form of the lysozyme molecule identified by circular dichroism spectra and dynamic light scattering must be of very low energy since the unfolding process absorbs almost three times the enthalpy of normal lysozyme unfolding alphalactalbumin shows similar behavior | [['recent', 'demonstrations', 'of', 'extraordinary', 'stabilization', 'of', 'proteins', 'in', 'mobile', 'protic', '1', 'and', 'aprotic', '2', 'ionic', 'liquid', 'solutions', 'at', 'ambient', 'temperatures', 'have', 'raised', 'hopes', 'of', 'new', 'biopreservation', 'and', 'drug', 'transportation', 'technologies', 'here', 'we', 'examine', 'the', 'relation', 'of', 'folded', 'protein', 'stability', 'to', 'the', 'state', 'of', 'the', 'transferred', 'proton', '1', 'as', 'determined', 'by', 'the', 'nh', 'proton', 'chemical', 'shift', 'dnh', 'we', 'identify', 'a', 'range', 'of', 'dnh', 'in', 'which', 'the', 'unfolded', 'lysozyme', 'refolds', '97', 'exceeding', 'the', 'stability', 'range', 'in', 'the', 'acid', 'direction', 'leads', 'to', 'the', 'sudden', 'formation', 'and', 'stabilization', 'of', 'a', 'small', 'soluble', 'amyloid', 'form', 'of', 'lysozyme', 'which', 'has', 'its', 'own', 'stability', 'range', 'and', 'which', 'can', 'again', 'unfoldrefold', 'many', 'times', 'before', 'an', 'irreversible', 'process', 'fibrillization', 'occurs', 'the', 'tightly', 'bound', 'amyloid', 'form', 'of', 'the', 'lysozyme', 'molecule', 'identified', 'by', 'circular', 'dichroism', 'spectra', 'and', 'dynamic', 'light', 'scattering', 'must', 'be', 'of', 'very', 'low', 'energy', 'since', 'the', 'unfolding', 'process', 'absorbs', 'almost', 'three', 'times', 'the', 'enthalpy', 'of', 'normal', 'lysozyme', 'unfolding', 'alphalactalbumin', 'shows', 'similar', 'behavior']] | [-0.11595014737462563, 0.19447452084106218, -0.03180635747629286, 0.02181213885089032, 0.019385317866289557, -0.13880162042124652, 0.05783850941514066, 0.36802644352891195, -0.26933297604963874, -0.2968334558648088, 0.07018845437737552, -0.27369109235876643, -0.11511201797275256, 0.14261282991543905, -0.0186362023964919, 0.01771941383805632, 0.041049363697949946, 0.024080750641539472, -0.025788086367808036, -0.180231823555089, 0.22069042338835482, 0.06177808631856044, 0.26804094368881787, 0.10855787394827368, 0.09453531809302282, -0.008417856292058991, 0.06372322806385376, -0.03867033234988617, -0.18558754463717095, 0.11368721517324078, 0.2512197172984678, 0.060914413547081665, 0.2184891995869034, -0.41926971494547083, -0.21711189171842096, 0.08451468788013355, 0.1649640016704921, 0.0987664743069103, -0.06710446743432985, -0.21938669186899598, 0.08469651710390058, -0.1573873732380865, -0.1576743476302517, -0.06935391117454759, 0.04480452282471422, 0.0599541688638212, -0.1756306361254391, 0.11223240249747077, 0.037862903641946215, 0.06470551109249821, -0.14590242275712234, -0.14768497980144246, -0.1010451391462656, 0.1130605376054169, 0.08161309251017461, 0.00832731603176043, 0.24433606598485377, -0.12046301223041601, -0.05102441028772008, 0.35546986380012224, -0.04761150089749413, -0.0752673976912413, 0.20583535977546744, -0.15004444906537404, -0.11893431576499283, 0.2328220938227528, 0.09881001233820193, 0.11768552993381062, -0.16846462594505573, 0.03869605665492196, 0.01876261138930818, 0.19919387119766696, 0.15855105144869142, 0.0003187588249512066, 0.195936934824336, 0.2059562522177862, 0.016601196593151655, 0.11520051953015811, -0.08735397994049535, -0.0800445959980396, -0.18845688241429084, -0.1809672016842408, -0.126908483421615, 0.09671072011184416, -0.059030854596046345, -0.1584739497930601, 0.37488840411290747, 0.025471592530151767, 0.19377781799223448, -0.0008429736600547339, 0.18884128570519634, 0.048517445391444924, 0.05971952425994423, -0.0015879136152466796, 0.24283714248607588, 0.1234955083477058, 0.13735876835586613, -0.28060027186925346, 0.09769019047615568, 0.006416729555792169] |
710.3808 | Finite Mirror Effects in Advanced Interferometric Gravitational Wave
Detectors | Thermal noise is expected to be the dominant source of noise in the most
sensitive frequency band of second generation ground based gravitational wave
detectors. Reshaping the beam to a flatter wider profile which probes more of
the mirror surface reduces this noise. The "Mesa" beam shape has been proposed
for this purpose and was subsequently generalized to a family of hyperboloidal
beams with two parameters: twist angle alpha and beam width D. Varying alpha
allows a continuous transition from the nearly-flat to the nearly-concentric
Mesa beam configurations. We analytically prove that in the limit of infinite D
hyperboloidal beams become Gaussians. The Advanced LIGO diffraction loss design
constraint is 1 ppm per bounce. In the past the diffraction loss has often been
calculated using the clipping approximation that, in general, underestimates
the diffraction loss. We develop a code using pseudo-spectral methods to
compute the diffraction loss directly from the propagator. We find that the
diffraction loss is not a strictly monotonic function of beam width, but has
local minima that occur due to finite mirror effects and leads to natural
choices of D. For the Mesa beam a local minimum occurs at D = 10.67 cm and
leads to a diffraction loss of 1.4 ppm. We find that if one requires a
diffraction loss of strictly 1 ppm, the alpha = 0.91 pi hyperboloidal beam is
optimal, leading to the coating thermal noise being lower by about 10% than for
a Mesa beam while other types of thermal noise decrease as well. We then
develop an iterative process that reconstructs the mirror to specifically
account for finite mirror effects. This allows us to increase the D parameter
and lower the coating noise by about 30% compared to the original Mesa
configuration.
| gr-qc | thermal noise is expected to be the dominant source of noise in the most sensitive frequency band of second generation ground based gravitational wave detectors reshaping the beam to a flatter wider profile which probes more of the mirror surface reduces this noise the mesa beam shape has been proposed for this purpose and was subsequently generalized to a family of hyperboloidal beams with two parameters twist angle alpha and beam width d varying alpha allows a continuous transition from the nearlyflat to the nearlyconcentric mesa beam configurations we analytically prove that in the limit of infinite d hyperboloidal beams become gaussians the advanced ligo diffraction loss design constraint is 1 ppm per bounce in the past the diffraction loss has often been calculated using the clipping approximation that in general underestimates the diffraction loss we develop a code using pseudospectral methods to compute the diffraction loss directly from the propagator we find that the diffraction loss is not a strictly monotonic function of beam width but has local minima that occur due to finite mirror effects and leads to natural choices of d for the mesa beam a local minimum occurs at d 1067 cm and leads to a diffraction loss of 14 ppm we find that if one requires a diffraction loss of strictly 1 ppm the alpha 091 pi hyperboloidal beam is optimal leading to the coating thermal noise being lower by about 10 than for a mesa beam while other types of thermal noise decrease as well we then develop an iterative process that reconstructs the mirror to specifically account for finite mirror effects this allows us to increase the d parameter and lower the coating noise by about 30 compared to the original mesa configuration | [['thermal', 'noise', 'is', 'expected', 'to', 'be', 'the', 'dominant', 'source', 'of', 'noise', 'in', 'the', 'most', 'sensitive', 'frequency', 'band', 'of', 'second', 'generation', 'ground', 'based', 'gravitational', 'wave', 'detectors', 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710.3809 | A precessing jet model for the PN K 3-35: simulated radio-continuum
emission | The bipolar morphology of the planetary nebula (PN) K 3-35 observed in
radio-continuum images was modelled with 3D hydrodynamic simulations with the
adaptive grid code yguazu-a. We find that the observed morphology of this PN
can be reproduced considering a precessing jet evolving in a dense AGB
circumstellar medium, given by a mass loss rate
\dot{M}_{csm}=5x10^{-5}M_{\odot}/yr and a terminal velocity v_{w}=10 km/s.
Synthetic thermal radio-continuum maps were generated from numerical results
for several frequencies. Comparing the maps and the total fluxes obtained from
the simulations with the observational results, we find that a model of
precessing dense jets, where each jet injects material into the surrounding CSM
at a rate \dot{M}_j=2.8x10^{-4} {M_{\odot}/yr (equivalent to a density of
8x10^{4} {cm}^{-3}, a velocity of 1500 km/s, a precession period of 100 yr, and
a semi-aperture precession angle of 20 degrees agrees well with the
observations.
| astro-ph | the bipolar morphology of the planetary nebula pn k 335 observed in radiocontinuum images was modelled with 3d hydrodynamic simulations with the adaptive grid code yguazua we find that the observed morphology of this pn can be reproduced considering a precessing jet evolving in a dense agb circumstellar medium given by a mass loss rate dotm_csm5x105m_odotyr and a terminal velocity v_w10 kms synthetic thermal radiocontinuum maps were generated from numerical results for several frequencies comparing the maps and the total fluxes obtained from the simulations with the observational results we find that a model of precessing dense jets where each jet injects material into the surrounding csm at a rate dotm_j28x104 m_odotyr equivalent to a density of 8x104 cm3 a velocity of 1500 kms a precession period of 100 yr and a semiaperture precession angle of 20 degrees agrees well with the observations | [['the', 'bipolar', 'morphology', 'of', 'the', 'planetary', 'nebula', 'pn', 'k', '335', 'observed', 'in', 'radiocontinuum', 'images', 'was', 'modelled', 'with', '3d', 'hydrodynamic', 'simulations', 'with', 'the', 'adaptive', 'grid', 'code', 'yguazua', 'we', 'find', 'that', 'the', 'observed', 'morphology', 'of', 'this', 'pn', 'can', 'be', 'reproduced', 'considering', 'a', 'precessing', 'jet', 'evolving', 'in', 'a', 'dense', 'agb', 'circumstellar', 'medium', 'given', 'by', 'a', 'mass', 'loss', 'rate', 'dotm_csm5x105m_odotyr', 'and', 'a', 'terminal', 'velocity', 'v_w10', 'kms', 'synthetic', 'thermal', 'radiocontinuum', 'maps', 'were', 'generated', 'from', 'numerical', 'results', 'for', 'several', 'frequencies', 'comparing', 'the', 'maps', 'and', 'the', 'total', 'fluxes', 'obtained', 'from', 'the', 'simulations', 'with', 'the', 'observational', 'results', 'we', 'find', 'that', 'a', 'model', 'of', 'precessing', 'dense', 'jets', 'where', 'each', 'jet', 'injects', 'material', 'into', 'the', 'surrounding', 'csm', 'at', 'a', 'rate', 'dotm_j28x104', 'm_odotyr', 'equivalent', 'to', 'a', 'density', 'of', '8x104', 'cm3', 'a', 'velocity', 'of', '1500', 'kms', 'a', 'precession', 'period', 'of', '100', 'yr', 'and', 'a', 'semiaperture', 'precession', 'angle', 'of', '20', 'degrees', 'agrees', 'well', 'with', 'the', 'observations']] | [-0.1302996341427185, 0.09016146578846111, -0.056237262918231945, 0.023752939655351715, -0.043941899983332956, -0.06884185011706336, 0.006948712709018116, 0.44021829072278823, -0.20236099322440385, -0.3293014254266892, 0.05037874386230443, -0.24821615521963553, -0.006927223368581358, 0.21406161333576662, -0.0034535526927801773, -0.02168013019949573, 0.12516711097505454, -0.07058221428896294, -0.08478955994695157, -0.1771856524308192, 0.24525782843153898, 0.07949009228107459, 0.13332717766919971, -0.01357927595151307, 0.13185615275262874, -0.12999488434104398, -0.04663078752015516, 0.03609579398209671, -0.16765031519083376, 0.04724566005974365, 0.1709887637637837, 0.09381447956736515, 0.16947630654194262, -0.38749459701449535, -0.25584351581608433, -0.021604575803034383, 0.14496909858484705, 0.04286932934028693, -0.046124473346477686, -0.26943607712149864, 0.08573823953181398, -0.24885110249709363, -0.1957318673794754, 0.08424502299267718, 0.042169875141213106, 0.06269596731491225, -0.29348124969053824, 0.13265203277868548, -0.00407658282938755, 0.09753337007840064, -0.10686014464004434, -0.07820255899962654, -0.11891550892836703, 0.05681971185036647, 0.009083727221406674, 0.09888029193653049, 0.19516034862495585, -0.13458210205920576, -0.06282206759000827, 0.4099177066370738, -0.10267506477175106, -0.0664116706060105, 0.2044685007970807, -0.22638365756653303, -0.08553652724137248, 0.2505816526764588, 0.16404991225203794, 0.1137467358067042, -0.10894474227202507, -0.02046349241604305, -0.08843926419487236, 0.19938631904673287, 0.057898663017872, -0.015581967141613256, 0.2868387880433592, 0.1138796333873497, -0.0481042694049157, 0.14066134240283973, -0.2553253629137661, -0.03828792951719688, -0.24828064525432939, -0.08663166220226198, -0.14219738506182705, 0.11660642025610365, -0.17326253036126282, -0.08442728093443372, 0.36674926228312066, 0.10832904104022778, 0.27542589948572915, 0.029886390407496004, 0.33468656990971923, 0.07636001429741653, 0.06620448979135794, 0.17968163126074582, 0.2570038464007457, 0.1934578286403482, 0.10073522890402044, -0.2178637005234633, 0.06113003260328723, -0.005561286347362099] |
710.381 | On the number of tetrahedra with minimum, unit, and distinct volumes in
three-space | We formulate and give partial answers to several combinatorial problems on
volumes of simplices determined by $n$ points in 3-space, and in general in $d$
dimensions. (i) The number of tetrahedra of minimum (nonzero) volume spanned by
$n$ points in $\RR^3$ is at most ${2/3}n^3-O(n^2)$, and there are point sets
for which this number is ${3/16}n^3-O(n^2)$. We also present an $O(n^3)$ time
algorithm for reporting all tetrahedra of minimum nonzero volume, and thereby
extend an algorithm of Edelsbrunner, O'Rourke, and Seidel. In general, for
every $k,d\in \NN$, $1\leq k \leq d$, the maximum number of $k$-dimensional
simplices of minimum (nonzero) volume spanned by $n$ points in $\RR^d$ is
$\Theta(n^k)$. (ii) The number of unit-volume tetrahedra determined by $n$
points in $\RR^3$ is $O(n^{7/2})$, and there are point sets for which this
number is $\Omega(n^3 \log \log{n})$. (iii) For every $d\in \NN$, the minimum
number of distinct volumes of all full-dimensional simplices determined by $n$
points in $\RR^d$, not all on a hyperplane, is $\Theta(n)$.
| math.CO | we formulate and give partial answers to several combinatorial problems on volumes of simplices determined by n points in 3space and in general in d dimensions i the number of tetrahedra of minimum nonzero volume spanned by n points in rr3 is at most 23n3on2 and there are point sets for which this number is 316n3on2 we also present an on3 time algorithm for reporting all tetrahedra of minimum nonzero volume and thereby extend an algorithm of edelsbrunner orourke and seidel in general for every kdin nn 1leq k leq d the maximum number of kdimensional simplices of minimum nonzero volume spanned by n points in rrd is thetank ii the number of unitvolume tetrahedra determined by n points in rr3 is on72 and there are point sets for which this number is omegan3 log logn iii for every din nn the minimum number of distinct volumes of all fulldimensional simplices determined by n points in rrd not all on a hyperplane is thetan | [['we', 'formulate', 'and', 'give', 'partial', 'answers', 'to', 'several', 'combinatorial', 'problems', 'on', 'volumes', 'of', 'simplices', 'determined', 'by', 'n', 'points', 'in', '3space', 'and', 'in', 'general', 'in', 'd', 'dimensions', 'i', 'the', 'number', 'of', 'tetrahedra', 'of', 'minimum', 'nonzero', 'volume', 'spanned', 'by', 'n', 'points', 'in', 'rr3', 'is', 'at', 'most', '23n3on2', 'and', 'there', 'are', 'point', 'sets', 'for', 'which', 'this', 'number', 'is', '316n3on2', 'we', 'also', 'present', 'an', 'on3', 'time', 'algorithm', 'for', 'reporting', 'all', 'tetrahedra', 'of', 'minimum', 'nonzero', 'volume', 'and', 'thereby', 'extend', 'an', 'algorithm', 'of', 'edelsbrunner', 'orourke', 'and', 'seidel', 'in', 'general', 'for', 'every', 'kdin', 'nn', '1leq', 'k', 'leq', 'd', 'the', 'maximum', 'number', 'of', 'kdimensional', 'simplices', 'of', 'minimum', 'nonzero', 'volume', 'spanned', 'by', 'n', 'points', 'in', 'rrd', 'is', 'thetank', 'ii', 'the', 'number', 'of', 'unitvolume', 'tetrahedra', 'determined', 'by', 'n', 'points', 'in', 'rr3', 'is', 'on72', 'and', 'there', 'are', 'point', 'sets', 'for', 'which', 'this', 'number', 'is', 'omegan3', 'log', 'logn', 'iii', 'for', 'every', 'din', 'nn', 'the', 'minimum', 'number', 'of', 'distinct', 'volumes', 'of', 'all', 'fulldimensional', 'simplices', 'determined', 'by', 'n', 'points', 'in', 'rrd', 'not', 'all', 'on', 'a', 'hyperplane', 'is', 'thetan']] | [-0.21712410381723266, 0.14888032732125783, 0.04143907979813329, -0.007129860273996217, 0.016356642619758752, -0.14615533742417366, 0.11896560058107611, 0.3160025814247335, -0.23643444519365633, -0.28752971275692213, 0.07636123624129904, -0.36025360999455364, -0.12429430807929093, 0.15014686119440446, -0.10473088225384491, 0.029839459688819205, 0.03280897759282904, 0.05267089460788422, -0.027263268204331788, -0.3604787757145877, 0.3085060909575557, -0.06009746462060428, 0.1468223114425652, 0.041153505185665275, 0.09133100481877415, 0.03207304611764501, -0.0005001104639276215, 0.08189852522998493, -0.168857169482186, 0.09817803649829053, 0.2667688162164381, 0.17467209513397505, 0.23395236513883985, -0.3698451265570511, -0.12164221500966305, 0.20709700147499857, 0.1524423039597835, 0.03173647848571078, 0.03975439699141089, -0.17088184540264123, 0.1547010828544218, -0.02261264805583665, -0.1415080349553978, -0.045376059142236386, 0.14644747849023085, -0.00984344372391319, -0.2700950869254953, 0.010052052076135166, 0.054660350403904635, 0.12133863275170742, 0.0006823321480465972, -0.21656280987236579, -0.028544283390293905, 0.07387905911779645, -0.03831805991332816, 0.09203142355201963, -0.016510965129771266, -0.04565621370750462, -0.1070864790564646, 0.3764215771068012, 0.028387266850411336, -0.207204155882955, 0.09216279997230038, -0.16754189144924098, -0.13896849854366264, 0.19729661853602215, 0.14058671613015605, 0.15856803516620158, -0.06532732674979275, 0.1827598930176012, -0.12313797401831202, 0.12252389349409246, 0.1544945539490129, 0.0029274902880619866, 0.1245798973817818, 0.10987226577093882, 0.1650458736090649, 0.10983698428297554, -0.04551130985141217, -0.04276864953420084, -0.3547968615933975, -0.16692192789010982, -0.28263128067219273, 0.04824146686958059, -0.2063093492880562, -0.1436297323855554, 0.28875396733883746, 0.03857760639681903, 0.2884674987275593, 0.08892550454937755, 0.2069883086539296, 0.03714113124293385, 0.007098444779432431, 0.18319857298679973, 0.0974357948545945, 0.10359489927444353, -0.0032925100545890583, -0.17054740923401893, 0.01301422782288575, 0.19885723040763126] |
710.3811 | Coherent population oscillation from a Fermi atom-molecule dark state | We show that a robust macroscopic atom-molecule dark state can exist in
fermionic systems, which represents a coherent superposition between the ground
molecular BEC and the atomic BCS paired state. We take advantage of the
tunability offered by external laser fields, and explore this superposition for
demonstrating coherent oscillations between ground molecules and atom pairs. We
interpret the oscillation frequencies in terms of the collective excitations of
the dark state.
| cond-mat.other | we show that a robust macroscopic atommolecule dark state can exist in fermionic systems which represents a coherent superposition between the ground molecular bec and the atomic bcs paired state we take advantage of the tunability offered by external laser fields and explore this superposition for demonstrating coherent oscillations between ground molecules and atom pairs we interpret the oscillation frequencies in terms of the collective excitations of the dark state | [['we', 'show', 'that', 'a', 'robust', 'macroscopic', 'atommolecule', 'dark', 'state', 'can', 'exist', 'in', 'fermionic', 'systems', 'which', 'represents', 'a', 'coherent', 'superposition', 'between', 'the', 'ground', 'molecular', 'bec', 'and', 'the', 'atomic', 'bcs', 'paired', 'state', 'we', 'take', 'advantage', 'of', 'the', 'tunability', 'offered', 'by', 'external', 'laser', 'fields', 'and', 'explore', 'this', 'superposition', 'for', 'demonstrating', 'coherent', 'oscillations', 'between', 'ground', 'molecules', 'and', 'atom', 'pairs', 'we', 'interpret', 'the', 'oscillation', 'frequencies', 'in', 'terms', 'of', 'the', 'collective', 'excitations', 'of', 'the', 'dark', 'state']] | [-0.2121454912370869, 0.24491971152435457, -0.08600142929436905, 0.09595377013985333, 0.003824466573340552, -0.11238668354760323, 0.1031086569252823, 0.35100286512502604, -0.255963747815362, -0.271612318046391, -0.07650246839371642, -0.22960325098663037, -0.059160855043280336, 0.16689329051545687, 0.06766280294063368, -0.00853450805214899, 0.05425344499360238, 0.0014958030677267482, -0.033635717793367804, -0.16440742736948388, 0.3334955615357363, -0.02624520347786269, 0.32369772762592347, 0.012389187932214035, 0.14410845087841154, 0.008284460364042649, 0.10980910570028105, -0.059161526789622644, -0.0784197074052437, 0.11361052713223867, 0.2795031429401466, 0.05328610254717725, 0.23329370198106128, -0.47461576014757156, -0.2267632124014199, 0.11541223705613188, 0.16735025845285106, 0.25960871114761436, -0.010940373542585544, -0.3846473194924848, -0.06334457785955497, -0.19569600059517792, -0.12746363848314754, -0.15593031458224038, -0.006921930458130581, 0.05381494845662798, -0.23177586904327785, 0.10513379352300295, 0.029802603730266646, 0.044934526631342515, -0.11663400771877995, -0.08239606260987264, 0.0036154531275055237, 0.07065792744979263, -0.0327327410025256, -0.015127583343668708, 0.13490591011941433, -0.18089548649732023, -0.10716149537558002, 0.37943022793957165, -0.13702917283600463, -0.128313295809286, 0.21340202300676278, -0.1349007298005745, -0.018875467883689063, 0.12127919173134225, 0.09541136469841668, 0.02703874154415514, -0.07380723023254956, 0.02717921955793697, -0.05094359922888023, 0.23334094812827452, 0.0921852987425934, 0.1781886821163685, 0.31030452576066764, 0.1567583525536715, 0.039904521675115184, 0.18219147265107105, -0.11306705349790198, -0.13115009576015707, -0.2850915135083986, -0.15780197429869855, -0.21312665631329375, 0.04305801189371518, 0.04327855662372063, -0.10859163950330444, 0.40433415791152844, 0.11131505088747612, 0.15936333635555847, -0.061514488356520555, 0.29177023143773634, 0.09593727836119277, -0.01716250939560788, 0.015031506603450647, 0.3003559954863574, 0.16167123317053275, 0.05421518058449562, -0.3344484267282366, -0.023822594054841568, -0.025457928881847433] |
710.3812 | Flow- and Diffusion Distributed Structures with noise at the inlet | Flow and Diffusion Distributed Structures (FDS) are stationary spatially
periodic patterns that can be observed in reaction-diffusion-advection systems.
These structures arise when the flow rate exceeds a certain bifurcation point
provided that concentrations of interacting species at the inlet differ from
steady state values and the concentrations are held constant. Normally,
theoretical studies of these patterns are developed without concerning a noise.
In this paper we consider FDS for a more realistic conditions and assume that
the inlet concentrations are perturbed by a small noise. When the flow rate is
small, the FDS is linearly sensitive to noise at the inlet. Even weak
fluctuations destroy the stationary pattern and an oscillatory solution appears
instead. For higher flow rates the instability becomes nonlinear: the pattern
remains unaltered for a weak noise and undergoes the destruction when the noise
amplitude passes a certain threshold. We represent a detailed description of
these effects and examine two scenarios for the stabilization.
| nlin.PS | flow and diffusion distributed structures fds are stationary spatially periodic patterns that can be observed in reactiondiffusionadvection systems these structures arise when the flow rate exceeds a certain bifurcation point provided that concentrations of interacting species at the inlet differ from steady state values and the concentrations are held constant normally theoretical studies of these patterns are developed without concerning a noise in this paper we consider fds for a more realistic conditions and assume that the inlet concentrations are perturbed by a small noise when the flow rate is small the fds is linearly sensitive to noise at the inlet even weak fluctuations destroy the stationary pattern and an oscillatory solution appears instead for higher flow rates the instability becomes nonlinear the pattern remains unaltered for a weak noise and undergoes the destruction when the noise amplitude passes a certain threshold we represent a detailed description of these effects and examine two scenarios for the stabilization | [['flow', 'and', 'diffusion', 'distributed', 'structures', 'fds', 'are', 'stationary', 'spatially', 'periodic', 'patterns', 'that', 'can', 'be', 'observed', 'in', 'reactiondiffusionadvection', 'systems', 'these', 'structures', 'arise', 'when', 'the', 'flow', 'rate', 'exceeds', 'a', 'certain', 'bifurcation', 'point', 'provided', 'that', 'concentrations', 'of', 'interacting', 'species', 'at', 'the', 'inlet', 'differ', 'from', 'steady', 'state', 'values', 'and', 'the', 'concentrations', 'are', 'held', 'constant', 'normally', 'theoretical', 'studies', 'of', 'these', 'patterns', 'are', 'developed', 'without', 'concerning', 'a', 'noise', 'in', 'this', 'paper', 'we', 'consider', 'fds', 'for', 'a', 'more', 'realistic', 'conditions', 'and', 'assume', 'that', 'the', 'inlet', 'concentrations', 'are', 'perturbed', 'by', 'a', 'small', 'noise', 'when', 'the', 'flow', 'rate', 'is', 'small', 'the', 'fds', 'is', 'linearly', 'sensitive', 'to', 'noise', 'at', 'the', 'inlet', 'even', 'weak', 'fluctuations', 'destroy', 'the', 'stationary', 'pattern', 'and', 'an', 'oscillatory', 'solution', 'appears', 'instead', 'for', 'higher', 'flow', 'rates', 'the', 'instability', 'becomes', 'nonlinear', 'the', 'pattern', 'remains', 'unaltered', 'for', 'a', 'weak', 'noise', 'and', 'undergoes', 'the', 'destruction', 'when', 'the', 'noise', 'amplitude', 'passes', 'a', 'certain', 'threshold', 'we', 'represent', 'a', 'detailed', 'description', 'of', 'these', 'effects', 'and', 'examine', 'two', 'scenarios', 'for', 'the', 'stabilization']] | [-0.20544998353320487, 0.20997674259215157, -0.05010073430314185, 0.0817699148742316, 0.01562993012362747, -0.14265774285634328, 0.009492883013092741, 0.33671025922937187, -0.30654717786652835, -0.24984744997030706, 0.1361477155798963, -0.2699635383750128, -0.1200637689637388, 0.1848567602266172, -0.035683247616668794, 0.027055405468215044, 0.06614084519552672, 0.03579696289198414, -0.045595922998959426, -0.18751902346333169, 0.3396087471391282, 0.040097766140977126, 0.3040779615592235, -0.0006945697044965568, 0.07722114776350131, -0.06165451643890056, 0.0014734726175250617, 0.05598897852928965, -0.1341441477979159, 0.012274967678555638, 0.21729011678546192, 0.04771815055230882, 0.24471701554669317, -0.4427880595681394, -0.25841890619533836, 0.10267592854293621, 0.10873113338283863, 0.17296862767143234, -0.06048964649918237, -0.2398257806569421, 0.11326014700013504, -0.09520100557785126, -0.15188575552918823, -0.04184415338052641, 0.013896356274486538, 0.07026691467258012, -0.31842093786912834, 0.14702998112388857, 0.06927607646567902, 0.06192638937111018, -0.07923430242949421, -0.06914066117713644, -0.037618448027961285, 0.14250152787786113, 0.05687527306849481, -0.008330414697504158, 0.18566245438566634, -0.16592416332910062, -0.014131638488382291, 0.34847813288853235, -0.07806415068338607, -0.20116372930722395, 0.21927610101403705, -0.15744021983674852, -0.09876558454529305, 0.21193189990771993, 0.16989714062956582, 0.099713332215502, -0.1393674088694462, 0.029477032486521372, -0.005970865526610309, 0.19782364990055756, 0.10953178780396605, -0.0020174040476892406, 0.19876521917439666, 0.15287050960888007, 0.09639938081804497, 0.12636930205945257, -0.09886622957137835, -0.1216664671435193, -0.2898675455610938, -0.05092225106177958, -0.08182570375027551, 0.046563497269199866, -0.08237175652879634, -0.17467105996670426, 0.35372811111556307, 0.1217460220825716, 0.2235109857580132, 0.02270809737639205, 0.2834512507483648, 0.1645193277623884, -0.00660595441219296, 0.10109251667003913, 0.24609241334003676, 0.11657051200931003, 0.12740520114719772, -0.22236095498624453, 0.11760058482385176, -0.0013174959740180309] |
710.3813 | Shape transformations of a compartmentalized fluid surface | A surface model on compartmentalized spheres is studied by using the Monte
Carlo simulation technique with dynamical triangulations. We found that the
model exhibits a variety of phases: the spherical phase, the tubular phase, the
planar phase, the wormlike planar phase, the wormlike long phase, the wormlike
short phase, and the collapsed phase. It is also shown that almost all phases
are separated from their neighboring phases by first-order transitions.
Mechanical strength of the surface is given only by elastic skeletons, which
are the compartment boundaries, and vertices diffuse freely inside the
compartments. We confirm that the cytoskeletal structure and the lateral
diffusion of vertices are an origin of such a variety of phases.
| cond-mat.stat-mech cond-mat.soft | a surface model on compartmentalized spheres is studied by using the monte carlo simulation technique with dynamical triangulations we found that the model exhibits a variety of phases the spherical phase the tubular phase the planar phase the wormlike planar phase the wormlike long phase the wormlike short phase and the collapsed phase it is also shown that almost all phases are separated from their neighboring phases by firstorder transitions mechanical strength of the surface is given only by elastic skeletons which are the compartment boundaries and vertices diffuse freely inside the compartments we confirm that the cytoskeletal structure and the lateral diffusion of vertices are an origin of such a variety of phases | [['a', 'surface', 'model', 'on', 'compartmentalized', 'spheres', 'is', 'studied', 'by', 'using', 'the', 'monte', 'carlo', 'simulation', 'technique', 'with', 'dynamical', 'triangulations', 'we', 'found', 'that', 'the', 'model', 'exhibits', 'a', 'variety', 'of', 'phases', 'the', 'spherical', 'phase', 'the', 'tubular', 'phase', 'the', 'planar', 'phase', 'the', 'wormlike', 'planar', 'phase', 'the', 'wormlike', 'long', 'phase', 'the', 'wormlike', 'short', 'phase', 'and', 'the', 'collapsed', 'phase', 'it', 'is', 'also', 'shown', 'that', 'almost', 'all', 'phases', 'are', 'separated', 'from', 'their', 'neighboring', 'phases', 'by', 'firstorder', 'transitions', 'mechanical', 'strength', 'of', 'the', 'surface', 'is', 'given', 'only', 'by', 'elastic', 'skeletons', 'which', 'are', 'the', 'compartment', 'boundaries', 'and', 'vertices', 'diffuse', 'freely', 'inside', 'the', 'compartments', 'we', 'confirm', 'that', 'the', 'cytoskeletal', 'structure', 'and', 'the', 'lateral', 'diffusion', 'of', 'vertices', 'are', 'an', 'origin', 'of', 'such', 'a', 'variety', 'of', 'phases']] | [-0.1692528833437041, 0.23922277814333365, -0.08505029963296756, 0.000913197718961001, -0.015559882199261011, -0.10140500019259523, 0.01994550384973225, 0.4320549369838677, -0.2971302849289618, -0.25749589997882905, 0.09150792666090031, -0.2770835422142817, -0.21663989558031685, 0.12639998026567986, 0.03662070698102757, 0.02916066396752732, 0.03943527785636354, -0.010529786338131026, -0.05587552510929016, -0.18101360714022202, 0.25579749237288507, -0.026530361342194834, 0.2852981618540198, 0.019345084139913843, 0.0924449711180243, -0.020719864417945866, 0.06468043863985753, 0.07075543735960596, -0.19535484978118084, 0.017086382113854614, 0.18514870645339487, 0.002977167758600492, 0.11601810325794902, -0.47360707519232836, -0.2587905424941135, 0.11853611200900846, 0.13381650965873218, 0.13004640277716117, -0.030978728768930427, -0.30446964561154966, 0.03339987905009797, -0.13068298131162137, -0.13335671518079675, -0.04216316566198019, 0.009486462553276828, 0.04798289631869186, -0.1710915958918345, 0.09167442334843431, 0.05548726135569731, 0.057432357409740224, -0.026079810947473896, -0.07103009750707108, -0.104949417803845, 0.12546660590573752, 0.01327135417867746, 0.02696359326262354, 0.15728667904132684, -0.10717430491033092, -0.08464044997092794, 0.37744923524166407, 0.015742654102372432, -0.16188221789994522, 0.2303319404293832, -0.14421408275078998, -0.06718084822702956, 0.23686174044320196, 0.09867118467503276, 0.12748444118749416, -0.1518930524854161, 0.06873465558818313, -0.010447468687249184, 0.1774421554597977, 0.02813086741636589, -0.059588486153076874, 0.235970599299068, 0.20982906134929835, -0.0019484493399463724, 0.19584117710116533, -0.11228672754460652, -0.16627223159415289, -0.2737290804650177, -0.15493945559290678, -0.19492584781153455, -0.039945260593014065, -0.15641790049994597, -0.25036328944062053, 0.37665814760226857, 0.04936641798223974, 0.20013850509074696, 0.03487346021625981, 0.27163180318791746, 0.0014955806505065738, 0.03905550138657227, 0.03995486457930192, 0.23824932568363452, 0.14379437814932317, 0.043281185444803874, -0.2085703884378043, 0.09106456633583691, 0.11001464149408173] |
710.3814 | Finsleroid-Finsler Space of Involutive Case | The Finsleroid-Finsler space is constructed over an underlying Riemannian
space by the help of a scalar $g(x)$ and an input 1-form $b$ of unit length.
Explicit form of the entailed tensors, as well as the respective spray
coefficients, is evaluated. The involutive case means the framework in which
the characteristic scalar $g(x)$ may vary in the direction assigned by $b$,
such that $dg=\mu b$ with a scalar $\mu(x)$.
We show by required calculation that the involutive case realizes through the
$A$-special relation the picture that instead of the Landsberg condition $\dot
A_{ijk}=0$ we have the vanishing $\dot{\al}_{ijk}=0$ with the normalized tensor
$\al_{ijk}=A_{ijk}/||A||$. Under the involutive condition, the derivative
tensor $A_{i|j}$ and the curvature tensor $R^i{}_k$ have explicitly been found,
assuming the input 1-form $b$ be parallel.
Key words: Finsler metrics, spray coefficients, curvature tensors.
| math.DG math-ph math.MP | the finsleroidfinsler space is constructed over an underlying riemannian space by the help of a scalar gx and an input 1form b of unit length explicit form of the entailed tensors as well as the respective spray coefficients is evaluated the involutive case means the framework in which the characteristic scalar gx may vary in the direction assigned by b such that dgmu b with a scalar mux we show by required calculation that the involutive case realizes through the aspecial relation the picture that instead of the landsberg condition dot a_ijk0 we have the vanishing dotal_ijk0 with the normalized tensor al_ijka_ijka under the involutive condition the derivative tensor a_ij and the curvature tensor ri_k have explicitly been found assuming the input 1form b be parallel key words finsler metrics spray coefficients curvature tensors | [['the', 'finsleroidfinsler', 'space', 'is', 'constructed', 'over', 'an', 'underlying', 'riemannian', 'space', 'by', 'the', 'help', 'of', 'a', 'scalar', 'gx', 'and', 'an', 'input', '1form', 'b', 'of', 'unit', 'length', 'explicit', 'form', 'of', 'the', 'entailed', 'tensors', 'as', 'well', 'as', 'the', 'respective', 'spray', 'coefficients', 'is', 'evaluated', 'the', 'involutive', 'case', 'means', 'the', 'framework', 'in', 'which', 'the', 'characteristic', 'scalar', 'gx', 'may', 'vary', 'in', 'the', 'direction', 'assigned', 'by', 'b', 'such', 'that', 'dgmu', 'b', 'with', 'a', 'scalar', 'mux', 'we', 'show', 'by', 'required', 'calculation', 'that', 'the', 'involutive', 'case', 'realizes', 'through', 'the', 'aspecial', 'relation', 'the', 'picture', 'that', 'instead', 'of', 'the', 'landsberg', 'condition', 'dot', 'a_ijk0', 'we', 'have', 'the', 'vanishing', 'dotal_ijk0', 'with', 'the', 'normalized', 'tensor', 'al_ijka_ijka', 'under', 'the', 'involutive', 'condition', 'the', 'derivative', 'tensor', 'a_ij', 'and', 'the', 'curvature', 'tensor', 'ri_k', 'have', 'explicitly', 'been', 'found', 'assuming', 'the', 'input', '1form', 'b', 'be', 'parallel', 'key', 'words', 'finsler', 'metrics', 'spray', 'coefficients', 'curvature', 'tensors']] | [-0.1816962521675299, 0.128317232151893, -0.041910715743199045, 0.03805428326613623, -0.12238917992876251, -0.1416768213777348, -0.0615710641596784, 0.36869733906242735, -0.2890995115965836, -0.22182818540812346, 0.070218027765184, -0.24674178023512164, -0.18234226771796397, 0.12807155608121926, -0.016050822365047165, 0.03522412414128293, 0.024923238659624095, 0.13613709527277207, -0.10093693902297307, -0.24436584772007872, 0.40145842048029107, 0.023175312300003314, 0.22977709570942922, 0.03661809640786748, 0.14750196487650044, -0.008029908240527319, -0.017167308906548072, 0.021154911946342867, -0.15934817690681802, 0.05297291124250393, 0.19538227608066427, 0.10135158091646353, 0.19977206955194587, -0.3670216634393085, -0.18124430223779622, 0.12360651199092236, 0.09612091457247446, -0.028731569201079044, 0.011041844169818616, -0.29532436084709773, 0.11350514066889304, -0.15105672339482826, -0.10185951020120997, -0.09681092354274073, 0.036393080168410905, -0.010194632968352747, -0.2722991822240513, 0.05032217613775139, 0.08781428892226789, 0.04079920723276256, -0.1025261872271148, -0.13143779284703408, -0.06538218817341523, 0.08462983805166427, 0.06995921528197882, 0.09633802898343681, 0.11772791050417825, -0.08627902509151893, -0.08325481983289744, 0.36231418709133484, -0.13378126123855108, -0.32981038764985493, 0.052486000402086924, -0.1257634431795152, -0.08492251390649021, 0.0813886063223922, 0.0956004113626717, 0.13650956719639068, -0.10567656148571608, 0.18652843689056864, -0.05840071993916072, 0.11264914557402737, 0.10247290081005225, 0.0063667479061427735, 0.1713527844886678, 0.019382405813148085, 0.048067941380910174, 0.1356976164402007, -0.014873765127430128, -0.07830230906504647, -0.37437892734080325, -0.23408035551335, -0.18622800853652086, 0.12051957994410696, -0.16463834742808808, -0.1522656322218651, 0.367849324755876, 0.036861213708346954, 0.20141955058030828, 0.04826318039540779, 0.2513954006063268, 0.13298946920630716, 0.08064549646697679, 0.0972508151271893, 0.20602972464737043, 0.209583799768954, 0.08598328676966359, -0.17779356389633172, 0.0457876561143681, 0.11862772475393821] |
710.3815 | Eigenmodes of elastic vibrations of quaking neutron star encoded in QPOs
on light curves of SGR flares | The Newtonian solid-mechanical theory of nodeless spheroidal and torsional of
elastic seismic vibrations trapped in the crust of a quaking neutron star is
outlined and applied to the modal classification of the quasi-periodic
oscillations (QPOs) of X-ray luminosity in the aftermath of giant flares in SGR
1806-20 and SGR 1900+14. The presented analysis relies heavily on the
Samuelsson-Andersson identification of the QPOs frequency from the range 30-200
Hz with those for torsional nodeless vibrations of multipole degree in the
interval 2-12. Based on this identification, which is used to fix the input
parameters entering the obtained spectral formulae, we compute frequency
spectrum of nodeless spheroidal elastic vibrations. Particular attention is
given to the low-frequency QPOs in the data for SGR 1806-20 whose physical
origin has been called into question. Our calculations suggest that these
unspecified QPOs are due to nodeless dipole torsional (18 Hz) and dipole
spheroidal (26 Hz) elastic shear vibrations.
| astro-ph | the newtonian solidmechanical theory of nodeless spheroidal and torsional of elastic seismic vibrations trapped in the crust of a quaking neutron star is outlined and applied to the modal classification of the quasiperiodic oscillations qpos of xray luminosity in the aftermath of giant flares in sgr 180620 and sgr 190014 the presented analysis relies heavily on the samuelssonandersson identification of the qpos frequency from the range 30200 hz with those for torsional nodeless vibrations of multipole degree in the interval 212 based on this identification which is used to fix the input parameters entering the obtained spectral formulae we compute frequency spectrum of nodeless spheroidal elastic vibrations particular attention is given to the lowfrequency qpos in the data for sgr 180620 whose physical origin has been called into question our calculations suggest that these unspecified qpos are due to nodeless dipole torsional 18 hz and dipole spheroidal 26 hz elastic shear vibrations | [['the', 'newtonian', 'solidmechanical', 'theory', 'of', 'nodeless', 'spheroidal', 'and', 'torsional', 'of', 'elastic', 'seismic', 'vibrations', 'trapped', 'in', 'the', 'crust', 'of', 'a', 'quaking', 'neutron', 'star', 'is', 'outlined', 'and', 'applied', 'to', 'the', 'modal', 'classification', 'of', 'the', 'quasiperiodic', 'oscillations', 'qpos', 'of', 'xray', 'luminosity', 'in', 'the', 'aftermath', 'of', 'giant', 'flares', 'in', 'sgr', '180620', 'and', 'sgr', '190014', 'the', 'presented', 'analysis', 'relies', 'heavily', 'on', 'the', 'samuelssonandersson', 'identification', 'of', 'the', 'qpos', 'frequency', 'from', 'the', 'range', '30200', 'hz', 'with', 'those', 'for', 'torsional', 'nodeless', 'vibrations', 'of', 'multipole', 'degree', 'in', 'the', 'interval', '212', 'based', 'on', 'this', 'identification', 'which', 'is', 'used', 'to', 'fix', 'the', 'input', 'parameters', 'entering', 'the', 'obtained', 'spectral', 'formulae', 'we', 'compute', 'frequency', 'spectrum', 'of', 'nodeless', 'spheroidal', 'elastic', 'vibrations', 'particular', 'attention', 'is', 'given', 'to', 'the', 'lowfrequency', 'qpos', 'in', 'the', 'data', 'for', 'sgr', '180620', 'whose', 'physical', 'origin', 'has', 'been', 'called', 'into', 'question', 'our', 'calculations', 'suggest', 'that', 'these', 'unspecified', 'qpos', 'are', 'due', 'to', 'nodeless', 'dipole', 'torsional', '18', 'hz', 'and', 'dipole', 'spheroidal', '26', 'hz', 'elastic', 'shear', 'vibrations']] | [-0.1381458219420165, 0.1557714792972062, -0.048047006878380975, 0.06671397470093021, -0.20077090767522654, -0.04944593116951485, 0.059916105900580684, 0.36427195366472004, -0.1783416065449516, -0.27473966454466187, 0.0398221286564755, -0.28293036806086697, -0.055126961986728326, 0.2631633692964291, -0.03895785342669114, 0.03889142587780953, 0.05096265363895024, 0.02197302198735997, -0.041579921116742, -0.09593253046177172, 0.21266524740494788, 0.053289706008508804, 0.23188983335159719, -0.04306789491325617, 0.018299339790052424, -0.05425256128733357, 0.014370766070981821, -0.10935447157671054, -0.16082720796068314, 0.09384499802564582, 0.29894613292068245, 0.04066668591306855, 0.16576111540198327, -0.4495688471881052, -0.23863627715036273, 0.036407557111233474, 0.1423025744780898, 0.0387489285094974, 0.029673401988111435, -0.28458032386998333, 0.03624654886118757, -0.213036142422449, -0.1595514518317456, -0.04223565750444929, 0.09408846970026692, 0.04505530571409812, -0.1948041190331181, 0.16827534465740124, 0.08866498249427726, 0.06356779708793814, -0.20197337890354294, -0.10941583934240043, -0.012512872563675045, 0.008419532117744287, 0.13885082102535914, 0.06715524128327767, 0.1689527535593758, -0.029528398086937767, -0.07693797477210561, 0.38111661694323024, -0.05687774455485244, -0.061934651639312506, 0.16962804208975285, -0.22378802987746893, -0.18559006677940487, 0.14942180443244676, 0.1535699496200929, 0.05430146430619061, -0.13770347084694853, 0.02191690549099197, 0.029902647295190644, 0.21306860064777236, 0.15378969106047105, 0.04072541426091145, 0.2911912424303591, 0.16387178625833865, -0.04094074669061229, 0.12108075062433879, -0.24838693065258363, 0.04895408254116774, -0.2769114417148133, 0.02206677820533514, -0.19444101511500775, 0.05725400658401971, -0.09267182379922209, -0.20703819710140428, 0.43471573293519516, 0.04182345175805191, 0.177154614123671, -0.04195329413361226, 0.25786380075786536, 0.12434933323801185, 0.06353910268905262, 0.11476854844950139, 0.38090116324524087, 0.2237146390384684, 0.07609179928074203, -0.2993181823768343, 0.005217134663835168, 0.01702607429896792] |
710.3816 | Uniting the Quiescent Emission and Burst Spectra of Magnetar Candidates | Spectral studies of quiescent emission and bursts of magnetar candidates
using XMM-Newton, Chandra and Swift data are presented. Spectra of both the
quiescent emission and the bursts for most magnetar candidates are reproduced
by a photoelectrically absorbed two blackbody function (2BB). There is a strong
correlation between lower and higher temperatures of 2BB (kT_LT and kT_HT) for
the magnetar candidates of which the spectra are well reproduced by 2BB. In
addition, a square of radius for kT_T (R_LT^2) is well correlated with a square
of radius for kT_HT (R_HT^2). A ratio kT_LT/kT_HT ~ 0.4 is nearly constant
irrespective of objects and/or emission types (i.e., the quiescent emission and
the bursts). This would imply a common emission mechanism among the magnetar
candidates. The relation between the quiescent emission and the bursts might be
analogous to a relation between microflares and solar flares of the sun. Three
AXPs (4U 0142+614, 1RXS J170849.0-400910 and 1E 2259+586) seem to have an
excess above ~7 keV which well agrees with a non-thermal hard component
discovered by INTEGRAL.
| astro-ph | spectral studies of quiescent emission and bursts of magnetar candidates using xmmnewton chandra and swift data are presented spectra of both the quiescent emission and the bursts for most magnetar candidates are reproduced by a photoelectrically absorbed two blackbody function 2bb there is a strong correlation between lower and higher temperatures of 2bb kt_lt and kt_ht for the magnetar candidates of which the spectra are well reproduced by 2bb in addition a square of radius for kt_t r_lt2 is well correlated with a square of radius for kt_ht r_ht2 a ratio kt_ltkt_ht 04 is nearly constant irrespective of objects andor emission types ie the quiescent emission and the bursts this would imply a common emission mechanism among the magnetar candidates the relation between the quiescent emission and the bursts might be analogous to a relation between microflares and solar flares of the sun three axps 4u 0142614 1rxs j1708490400910 and 1e 2259586 seem to have an excess above 7 kev which well agrees with a nonthermal hard component discovered by integral | [['spectral', 'studies', 'of', 'quiescent', 'emission', 'and', 'bursts', 'of', 'magnetar', 'candidates', 'using', 'xmmnewton', 'chandra', 'and', 'swift', 'data', 'are', 'presented', 'spectra', 'of', 'both', 'the', 'quiescent', 'emission', 'and', 'the', 'bursts', 'for', 'most', 'magnetar', 'candidates', 'are', 'reproduced', 'by', 'a', 'photoelectrically', 'absorbed', 'two', 'blackbody', 'function', '2bb', 'there', 'is', 'a', 'strong', 'correlation', 'between', 'lower', 'and', 'higher', 'temperatures', 'of', '2bb', 'kt_lt', 'and', 'kt_ht', 'for', 'the', 'magnetar', 'candidates', 'of', 'which', 'the', 'spectra', 'are', 'well', 'reproduced', 'by', '2bb', 'in', 'addition', 'a', 'square', 'of', 'radius', 'for', 'kt_t', 'r_lt2', 'is', 'well', 'correlated', 'with', 'a', 'square', 'of', 'radius', 'for', 'kt_ht', 'r_ht2', 'a', 'ratio', 'kt_ltkt_ht', '04', 'is', 'nearly', 'constant', 'irrespective', 'of', 'objects', 'andor', 'emission', 'types', 'ie', 'the', 'quiescent', 'emission', 'and', 'the', 'bursts', 'this', 'would', 'imply', 'a', 'common', 'emission', 'mechanism', 'among', 'the', 'magnetar', 'candidates', 'the', 'relation', 'between', 'the', 'quiescent', 'emission', 'and', 'the', 'bursts', 'might', 'be', 'analogous', 'to', 'a', 'relation', 'between', 'microflares', 'and', 'solar', 'flares', 'of', 'the', 'sun', 'three', 'axps', '4u', '0142614', '1rxs', 'j1708490400910', 'and', '1e', '2259586', 'seem', 'to', 'have', 'an', 'excess', 'above', '7', 'kev', 'which', 'well', 'agrees', 'with', 'a', 'nonthermal', 'hard', 'component', 'discovered', 'by', 'integral']] | [-0.07624330838983197, 0.17379828726117877, -0.04112989275984923, 0.1746285823017654, -0.10662504295795792, -0.1335969863845626, 0.05699615030430212, 0.4523010713434437, -0.1359102247238852, -0.3817356927661089, 0.08003000487082229, -0.3498430274449652, -0.010880293906666338, 0.2475886656476821, -0.0076730060469211514, -0.04753289378188528, 0.02744462875941791, -0.05336304126973207, -0.034656041744733, -0.18335985704310942, 0.21998514599598398, 0.09007416024701898, 0.1582345691418684, -0.0061902632942514085, 0.06507931988212144, -0.08672678403317838, -0.01055280751230695, -0.03381899094617948, -0.0808255121469634, 0.038117796080414115, 0.20329097986772157, 0.0989605922166048, 0.14762673978502125, -0.32013879981596116, -0.24800692127574597, 0.07824191001879914, 0.1571808444966403, -0.08776328384041468, -0.014513166990449152, -0.2594464345176409, 0.06006873068797243, -0.21839004863485148, -0.14282335813736496, 0.0650789462251407, 0.08336125658086796, 0.06047330729424863, -0.21419651032902481, 0.16491792851877285, 0.04027129837280571, 0.04210616855047325, -0.17678893769512, -0.06269964643913072, -0.01160804149495983, 0.045693237391277786, 0.09666747595155158, 0.04530141887499201, 0.12497148238315542, -0.12678070739905417, -0.1288731417603785, 0.38173161774430786, -0.07153125864271892, 0.07094351094920279, 0.2032964171830383, -0.19453869262857862, -0.19862167371391523, 0.20023645824616457, 0.04536205335951796, 0.09854666401473124, -0.15238335786569046, -0.029611810460110286, -0.03472628698275402, 0.22690651139596524, 0.030952245891434936, 0.0687174973441515, 0.35462106414786654, 0.09272732596174336, -0.039939391442358765, 0.16304139831747927, -0.2423409854413987, 0.014228430761183361, -0.27828866324001333, -0.06441630324399916, -0.16200059828868069, 0.12074408041194036, -0.10065860345186992, -0.14030290103131315, 0.36561747220424345, 0.0030695672783001165, 0.22265756567201872, 0.04807438851453409, 0.2611591694138308, 0.1425791748844814, 0.07361852353944148, 0.16476102134996526, 0.3409851290989758, 0.19960500286869343, 0.08079573017738123, -0.20714074368986143, 0.06906047919069462, -0.009086917043754422] |
710.3817 | A Note on Comparison of Error Correction Codes | Use of an error correction code in a given transmission channel can be
regarded as the statistical experiment. Therefore, powerful results from the
theory of comparison of experiments can be applied to compare the performances
of different error correction codes. We present results on the comparison of
block error correction codes using the representation of error correction code
as a linear experiment. In this case the code comparison is based on the
Loewner matrix ordering of respective code matrices. Next, we demonstrate the
bit-error rate code performance comparison based on the representation of the
codes as dichotomies, in which case the comparison is based on the matrix
majorization ordering of their respective equivalent code matrices.
| cs.IT math.IT math.ST stat.TH | use of an error correction code in a given transmission channel can be regarded as the statistical experiment therefore powerful results from the theory of comparison of experiments can be applied to compare the performances of different error correction codes we present results on the comparison of block error correction codes using the representation of error correction code as a linear experiment in this case the code comparison is based on the loewner matrix ordering of respective code matrices next we demonstrate the biterror rate code performance comparison based on the representation of the codes as dichotomies in which case the comparison is based on the matrix majorization ordering of their respective equivalent code matrices | [['use', 'of', 'an', 'error', 'correction', 'code', 'in', 'a', 'given', 'transmission', 'channel', 'can', 'be', 'regarded', 'as', 'the', 'statistical', 'experiment', 'therefore', 'powerful', 'results', 'from', 'the', 'theory', 'of', 'comparison', 'of', 'experiments', 'can', 'be', 'applied', 'to', 'compare', 'the', 'performances', 'of', 'different', 'error', 'correction', 'codes', 'we', 'present', 'results', 'on', 'the', 'comparison', 'of', 'block', 'error', 'correction', 'codes', 'using', 'the', 'representation', 'of', 'error', 'correction', 'code', 'as', 'a', 'linear', 'experiment', 'in', 'this', 'case', 'the', 'code', 'comparison', 'is', 'based', 'on', 'the', 'loewner', 'matrix', 'ordering', 'of', 'respective', 'code', 'matrices', 'next', 'we', 'demonstrate', 'the', 'biterror', 'rate', 'code', 'performance', 'comparison', 'based', 'on', 'the', 'representation', 'of', 'the', 'codes', 'as', 'dichotomies', 'in', 'which', 'case', 'the', 'comparison', 'is', 'based', 'on', 'the', 'matrix', 'majorization', 'ordering', 'of', 'their', 'respective', 'equivalent', 'code', 'matrices']] | [-0.0980086334090194, -0.014952109121267036, -0.07270763909606182, 0.11619033690886167, 0.020577756025949898, -0.16728489300964966, 0.045891550953661944, 0.3763077852356693, -0.26754962665879206, -0.28452112952895137, 0.1613537348493043, -0.2698169596493244, -0.13631712180440841, 0.23939599485500998, -0.06900460460911627, 0.11248760540848193, 0.12789754239113435, 0.056441823648207864, -0.18774944607006466, -0.26754009093603365, 0.316971296067957, 0.1915858209376102, 0.29061079838353654, 0.01681193145720855, 0.062432535203254744, -0.009140497805935371, -0.06100521589750829, 0.00260361907598765, -0.12393158807763426, 0.10986218178725761, 0.2342817376387994, 0.1600649608704059, 0.19357599228944466, -0.37853610102573165, -0.1898337004625279, 0.026585685923371627, 0.12740627535335394, 0.17386078801228785, -0.05403184250159108, -0.23215336486616212, 0.09270794903150881, -0.21995233389670435, 0.006785491813460122, -0.028154744195711352, -0.0769515796362058, 0.04855871396544187, -0.3104134131465917, 0.0465557349344675, 0.02880028606918843, 0.09417277326726395, -0.028806350760809753, -0.17470848788709745, 0.05566838468708422, 0.17046527873481745, 0.0040808878373354675, 0.04717764750365978, 0.0864416845952687, -0.047757567807465144, -0.15213763244126155, 0.38166137250626214, -0.10633659907819136, -0.23756823594803395, 0.12813180178332992, -0.06749368227370407, -0.05566753801970702, 0.1027125265813716, 0.23493272028053586, 0.09881692059014155, -0.11263675039391155, 0.0658102607233045, -0.03960777913301211, 0.215197045777155, 0.034575336837493205, 0.05249716232571265, 0.126473799843908, 0.14134347344060308, 0.014613524369854965, 0.16339181094106447, -0.0774413589793055, -0.08759542988694233, -0.3218959440386085, -0.16860429400821095, -0.21578505797028216, 0.004828243403007155, -0.12481000718215238, -0.15603742186465988, 0.40616375902748625, 0.18630244816936878, 0.13490150256649308, 0.1112748527261631, 0.2872397666392119, 0.08467795936006081, 0.08892704118650568, 0.08698691913007718, 0.205385860727857, 0.20499895589183206, -0.001935162683746413, -0.23990145321004092, 0.09909774329027404, 0.1153651091310641] |
710.3818 | Improved Factorization Method in Studying B-meson Decays | B decays are a subject of active research since they provide useful
information on the dynamics of strong and electroweak interactions for testing
the Standard Model (SM) and models beyond and are ideally suited for a critical
analysis of CP violation phenomena. Within the standard model, there exist
certain relations between CP violating rate differences in B decays in the
SU(3) limit, as for example $\Delta (\bar{B}^0 \to \pi^+ \pi^-) = - \Delta
(\bar{B}^0 \to \pi^+ K^-)$. The goal of this letter is to study the direct CP
violation asymmetry in a class of processes where there has been recent
theoretical progress, as for example the B decays into two light pseudoscalars
mesons and into a light pseudoscalar and a light vector meson. We identify
relations between rate asymmetries which are valid in the SU(3) limit in the
standard model and we compute SU(3) breaking corrections to them, going beyond
the naive factorization by using the QCD improved factorization model of Beneke
{\it et al.}. Finally, in some processes as for example $BR(B^- \to
\eta^{\prime} K^-)$, we claim that one has to add SUSY contributions to the
Wilson coefficients. In these cases, we end with a $BR$ depending on three
parameters, whose values are constrained by the experimental data.
| hep-ph | b decays are a subject of active research since they provide useful information on the dynamics of strong and electroweak interactions for testing the standard model sm and models beyond and are ideally suited for a critical analysis of cp violation phenomena within the standard model there exist certain relations between cp violating rate differences in b decays in the su3 limit as for example delta barb0 to pi pi delta barb0 to pi k the goal of this letter is to study the direct cp violation asymmetry in a class of processes where there has been recent theoretical progress as for example the b decays into two light pseudoscalars mesons and into a light pseudoscalar and a light vector meson we identify relations between rate asymmetries which are valid in the su3 limit in the standard model and we compute su3 breaking corrections to them going beyond the naive factorization by using the qcd improved factorization model of beneke it et al finally in some processes as for example brb to etaprime k we claim that one has to add susy contributions to the wilson coefficients in these cases we end with a br depending on three parameters whose values are constrained by the experimental data | [['b', 'decays', 'are', 'a', 'subject', 'of', 'active', 'research', 'since', 'they', 'provide', 'useful', 'information', 'on', 'the', 'dynamics', 'of', 'strong', 'and', 'electroweak', 'interactions', 'for', 'testing', 'the', 'standard', 'model', 'sm', 'and', 'models', 'beyond', 'and', 'are', 'ideally', 'suited', 'for', 'a', 'critical', 'analysis', 'of', 'cp', 'violation', 'phenomena', 'within', 'the', 'standard', 'model', 'there', 'exist', 'certain', 'relations', 'between', 'cp', 'violating', 'rate', 'differences', 'in', 'b', 'decays', 'in', 'the', 'su3', 'limit', 'as', 'for', 'example', 'delta', 'barb0', 'to', 'pi', 'pi', 'delta', 'barb0', 'to', 'pi', 'k', 'the', 'goal', 'of', 'this', 'letter', 'is', 'to', 'study', 'the', 'direct', 'cp', 'violation', 'asymmetry', 'in', 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710.3819 | B \to K^{*} \gamma Decay within MSSM | The paper deals with a next-to-leading order analysis of the radiative $B \to
K^* \gamma$ decay. Working in a PQCD approach, we compute the correction to the
essential form factor, coming from a single gluon exchange with the spectator.
We investigate the supersymmetry effects on the branching ratio and direct CP
asymmetry and constrain the squark mixing parameter $(\delta_{23}^d)_{LR}$.
| hep-ph | the paper deals with a nexttoleading order analysis of the radiative b to k gamma decay working in a pqcd approach we compute the correction to the essential form factor coming from a single gluon exchange with the spectator we investigate the supersymmetry effects on the branching ratio and direct cp asymmetry and constrain the squark mixing parameter delta_23d_lr | [['the', 'paper', 'deals', 'with', 'a', 'nexttoleading', 'order', 'analysis', 'of', 'the', 'radiative', 'b', 'to', 'k', 'gamma', 'decay', 'working', 'in', 'a', 'pqcd', 'approach', 'we', 'compute', 'the', 'correction', 'to', 'the', 'essential', 'form', 'factor', 'coming', 'from', 'a', 'single', 'gluon', 'exchange', 'with', 'the', 'spectator', 'we', 'investigate', 'the', 'supersymmetry', 'effects', 'on', 'the', 'branching', 'ratio', 'and', 'direct', 'cp', 'asymmetry', 'and', 'constrain', 'the', 'squark', 'mixing', 'parameter', 'delta_23d_lr']] | [-0.11702121869391954, 0.18463613935906825, -0.06896940650868005, 0.097766442569615, -0.08643424197838738, -0.08888344178056537, 0.08560038638373452, 0.2938635092357109, -0.24244924069478593, -0.25664451377915926, 0.011409079176293493, -0.2890628126875401, -0.005251561556461042, 0.07581584059215825, 0.08856436268201676, 0.07343532356979518, 0.053250603478177096, 0.013384594742594094, -0.07081855071612217, -0.15663475251017972, 0.3193397942031252, 0.04458264629597422, 0.18940052226314258, 0.12947694045202485, 0.02941249726854008, 0.02051703311535048, -0.12282459443467188, -0.05931701546470667, -0.19349062274178042, 0.09200181930069008, 0.1623202467915313, 0.02782233378143403, 0.12897050603100196, -0.33043289520167585, -0.10473639606538325, 0.1476263532832522, 0.1280458888103222, 0.09031689038614597, -0.0035227781165680237, -0.25994684426756254, 0.07668089913756282, -0.2396357932914819, -0.08332146411954329, -0.08690363853885832, -0.04847892775232422, -0.11822082283746066, -0.4009718769711667, 0.07691797342729466, -0.03004718225603373, -0.017750123154436206, 0.05401676973520682, -0.15832634892411016, -0.0013098258139758274, 0.07176021763508947, 0.15368261511020107, 0.05337055716342453, 0.15483291679993272, -0.17451414995794667, -0.14224675695957809, 0.43983299432900447, -0.12423848853133426, -0.16070621569865737, 0.10679808651610952, -0.20945472033606072, -0.16481820196073887, 0.14576905652286548, 0.24147192064415793, 0.11299729483715933, -0.1420370920898457, 0.16864686356335556, 0.036023759251010826, 0.19420179450113711, 0.06520627302535136, 0.01985602014184255, 0.16174868352968116, 0.17459964684756665, -0.012537476381865042, 0.11789088570994549, -0.09063252801444896, -0.09768965895737297, -0.40897370001365396, -0.13923589312391163, -0.06685018629148795, 0.09749974627730212, -0.11964724384396787, -0.12132593974920697, 0.3852289557127796, 0.10428843204060505, 0.2528498025976346, 0.050144568092193746, 0.3484779245637614, 0.13363816325777564, 0.06952655251671817, 0.04924974724618268, 0.29014480643873586, 0.2117658349974402, 0.11614349645819387, -0.3241081914246275, 0.0455303428086687, 0.0718983296577915] |
710.382 | A Brief Introduction to PYTHIA 8.1 | The PYTHIA program is a standard tool for the generation of high-energy
collisions, comprising a coherent set of physics models for the evolution from
a few-body hard process to a complex multihadronic final state. It contains a
library of hard processes and models for initial- and final-state parton
showers, multiple parton-parton interactions, beam remnants, string
fragmentation and particle decays. It also has a set of utilities and
interfaces to external programs. While previous versions were written in
Fortran, PYTHIA 8 represents a complete rewrite in C++. The current release is
the first main one after this transition, and does not yet in every respect
replace the old code. It does contain some new physics aspects, on the other
hand, that should make it an attractive option especially for LHC physics
studies.
| hep-ph | the pythia program is a standard tool for the generation of highenergy collisions comprising a coherent set of physics models for the evolution from a fewbody hard process to a complex multihadronic final state it contains a library of hard processes and models for initial and finalstate parton showers multiple partonparton interactions beam remnants string fragmentation and particle decays it also has a set of utilities and interfaces to external programs while previous versions were written in fortran pythia 8 represents a complete rewrite in c the current release is the first main one after this transition and does not yet in every respect replace the old code it does contain some new physics aspects on the other hand that should make it an attractive option especially for lhc physics studies | [['the', 'pythia', 'program', 'is', 'a', 'standard', 'tool', 'for', 'the', 'generation', 'of', 'highenergy', 'collisions', 'comprising', 'a', 'coherent', 'set', 'of', 'physics', 'models', 'for', 'the', 'evolution', 'from', 'a', 'fewbody', 'hard', 'process', 'to', 'a', 'complex', 'multihadronic', 'final', 'state', 'it', 'contains', 'a', 'library', 'of', 'hard', 'processes', 'and', 'models', 'for', 'initial', 'and', 'finalstate', 'parton', 'showers', 'multiple', 'partonparton', 'interactions', 'beam', 'remnants', 'string', 'fragmentation', 'and', 'particle', 'decays', 'it', 'also', 'has', 'a', 'set', 'of', 'utilities', 'and', 'interfaces', 'to', 'external', 'programs', 'while', 'previous', 'versions', 'were', 'written', 'in', 'fortran', 'pythia', '8', 'represents', 'a', 'complete', 'rewrite', 'in', 'c', 'the', 'current', 'release', 'is', 'the', 'first', 'main', 'one', 'after', 'this', 'transition', 'and', 'does', 'not', 'yet', 'in', 'every', 'respect', 'replace', 'the', 'old', 'code', 'it', 'does', 'contain', 'some', 'new', 'physics', 'aspects', 'on', 'the', 'other', 'hand', 'that', 'should', 'make', 'it', 'an', 'attractive', 'option', 'especially', 'for', 'lhc', 'physics', 'studies']] | [-0.05313566179287563, 0.14113053825085375, -0.1266096533504528, 0.16341684407424656, -0.07789233776399482, -0.1424053096752756, -0.02480499683399436, 0.3728568449559558, -0.24304649093053268, -0.30298012941551417, 0.05180653737847274, -0.3119802610594993, -0.007782633899789275, 0.2017870501780399, 0.03522613855391627, 0.061194544725603504, 0.14932873547219366, -0.011400229603279638, -0.008858560298334893, -0.23644417161761805, 0.2839797624877391, 0.08406657723795252, 0.19019698595116272, 0.07225747316016438, 0.06711636371430692, 0.05487628392199808, -0.04408174213768474, -0.04669841222877379, -0.07623492328669806, 0.05858414266671708, 0.23898939068327196, 0.1688752614907238, 0.20988492395387578, -0.4053953021561695, -0.1631723264772587, 0.07627930818303338, 0.12356059194897046, 0.1379532172968469, -0.050164212295892185, -0.22339131725767186, 0.04733610597353798, -0.22536449006737302, -0.11177028509462074, -0.042538116654054124, 0.032458900669518544, -0.004290676306495941, -0.27401088145543745, -0.0032295269150916087, 0.04576298978201021, 0.0171156998737964, 0.005711472895394527, -0.1535563836556696, -0.03641901420294272, 0.09141301276261797, 0.026048882359430862, 0.09253445237906976, 0.13762357823447616, -0.17835676624996852, -0.17790691804794864, 0.4142165954103907, 0.007586272349865496, -0.17173597611174102, 0.25366573561274425, -0.12965993942045925, -0.19525959726622086, 0.16614201053522015, 0.1902183557981412, 0.09090825284738804, -0.2165817540167397, 0.13017875994226846, 0.003090863418232166, 0.20840427549804724, 0.03464919041472537, 0.007873103088336705, 0.23261743698283346, 0.18953476962811164, -0.01454227898298329, 0.12413009408664115, -0.023978957394493444, -0.10387004268504964, -0.3747722420682384, -0.1369076032788699, -0.12194229782566086, 0.05352721452894745, -0.007547658721837287, -0.18749892746830601, 0.38306321016022266, 0.13779535538779983, 0.14460713350932106, -0.00713511003280869, 0.3154406422386586, 0.038813988975194134, 0.09044020835271119, 0.09724840766551215, 0.20451521495013242, 0.08618374689809181, 0.16213291368752947, -0.15126546258853307, 0.09392672863198828, 0.04465944038967083] |
710.3821 | Torsion, Scalar Field and f(\mathcal{R}) Gravity | The role of torsion and a scalar field $\phi$ in gravitation in the
background of a particular class of the Riemann-Cartan geometry is considered
here. Some times ago, a Lagrangian density with Lagrange multipliers has been
proposed by the author which has been obtained by picking some particular terms
from the SO(4,1) Pontryagin density, where the scalar field $\phi$ causes the
de Sitter connection to have the proper dimension of a gauge field. Here it has
been shown that the divergence of the axial torsion gives the Newton's constant
and the scalar field becomes a function of the Ricci scalar $\mathcal{R}$. The
starting Lagrangian then reduces to a Lagrangian representing the metric
$f(\mathcal{R})$ gravity theory.
| astro-ph | the role of torsion and a scalar field phi in gravitation in the background of a particular class of the riemanncartan geometry is considered here some times ago a lagrangian density with lagrange multipliers has been proposed by the author which has been obtained by picking some particular terms from the so41 pontryagin density where the scalar field phi causes the de sitter connection to have the proper dimension of a gauge field here it has been shown that the divergence of the axial torsion gives the newtons constant and the scalar field becomes a function of the ricci scalar mathcalr the starting lagrangian then reduces to a lagrangian representing the metric fmathcalr gravity theory | [['the', 'role', 'of', 'torsion', 'and', 'a', 'scalar', 'field', 'phi', 'in', 'gravitation', 'in', 'the', 'background', 'of', 'a', 'particular', 'class', 'of', 'the', 'riemanncartan', 'geometry', 'is', 'considered', 'here', 'some', 'times', 'ago', 'a', 'lagrangian', 'density', 'with', 'lagrange', 'multipliers', 'has', 'been', 'proposed', 'by', 'the', 'author', 'which', 'has', 'been', 'obtained', 'by', 'picking', 'some', 'particular', 'terms', 'from', 'the', 'so41', 'pontryagin', 'density', 'where', 'the', 'scalar', 'field', 'phi', 'causes', 'the', 'de', 'sitter', 'connection', 'to', 'have', 'the', 'proper', 'dimension', 'of', 'a', 'gauge', 'field', 'here', 'it', 'has', 'been', 'shown', 'that', 'the', 'divergence', 'of', 'the', 'axial', 'torsion', 'gives', 'the', 'newtons', 'constant', 'and', 'the', 'scalar', 'field', 'becomes', 'a', 'function', 'of', 'the', 'ricci', 'scalar', 'mathcalr', 'the', 'starting', 'lagrangian', 'then', 'reduces', 'to', 'a', 'lagrangian', 'representing', 'the', 'metric', 'fmathcalr', 'gravity', 'theory']] | [-0.19591524142103836, 0.1448798500062169, -0.14053858573669972, 0.03841856223551313, -0.12985455452909936, -0.11713436585243629, -0.09558487668653708, 0.2730771743328027, -0.2117401762339084, -0.2751044494221392, 0.05585406120846291, -0.23025896753305974, -0.17443262663791362, 0.10993380679384522, -0.044937765120488145, 0.028313276864102354, -0.05473274055706418, 0.1612582462821434, -0.0859142159860905, -0.2577742899079686, 0.38128764263313747, 0.06406210771883311, 0.21014280854521886, 0.04605634583403235, 0.1660859167980759, -0.027926537163717593, -0.007159476346619751, 0.07571129588329274, -0.14902432042853553, 0.08196340926477443, 0.17657389989041763, 0.09361975427069094, 0.2722417087901546, -0.37580232291441895, -0.26550406913232544, 0.13876967051916797, 0.09727444716364793, 0.09935098009730649, -0.08177437034901232, -0.30288023958387583, 0.07492570521552926, -0.1582476189279038, -0.14428026516688988, -0.057270801065327684, 0.04761477054866112, -0.04817824268298548, -0.23920613479517075, 0.05207533664272531, 0.01882647297790517, 0.03500269640075124, -0.06125963502765998, -0.09296360624063274, -0.042292105973414755, 0.04105044766835383, 0.16509352507596106, 0.1500625213648638, 0.13649752723539005, -0.15336446647896715, -0.06634457553331943, 0.39636876735755283, -0.13069855057898247, -0.2630666019961886, 0.10270397269126513, -0.11884204871628595, -0.11661833380551442, 0.1075444961776552, 0.09925363912125644, 0.14866515254682822, -0.13700165260056762, 0.27491296964555817, -0.04749613419458594, 0.09265505976408073, 0.1297116452180173, -0.007980765916569077, 0.20066481168969008, 0.05079169040140898, 0.07880142217238797, 0.10117706182215404, -0.042841036804020405, -0.1371078135850637, -0.36213998057596064, -0.2188312890170061, -0.1522864611627048, 0.09274933519570724, -0.1399515824632861, -0.15847107908642932, 0.40877903931490756, 0.05813293376856524, 0.13232097069165952, 0.041481949584356144, 0.24579049498652633, 0.14231265963095685, 0.08585325900019834, 0.06818019899175219, 0.31067794972635887, 0.2398114488642339, 0.10236035808313476, -0.21759386580518406, -0.07120920786553103, 0.15093156448767886] |
710.3822 | Explicit approximation of the sum of the reciprocal of the imaginary
parts of the zeta zeros | In this note, we give some explicit upper and lower bounds for the summation
$\sum_{0<\gamma\leq T}\frac{1}{\gamma}$, where $\gamma$ is the imaginary part
of nontrivial zeros $\rho=\beta+i\gamma$ of $\zeta(s)$.
| math.NT math.GM | in this note we give some explicit upper and lower bounds for the summation sum_0gammaleq tfrac1gamma where gamma is the imaginary part of nontrivial zeros rhobetaigamma of zetas | [['in', 'this', 'note', 'we', 'give', 'some', 'explicit', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'summation', 'sum_0gammaleq', 'tfrac1gamma', 'where', 'gamma', 'is', 'the', 'imaginary', 'part', 'of', 'nontrivial', 'zeros', 'rhobetaigamma', 'of', 'zetas']] | [-0.23010551370680332, 0.09862738694995642, -0.1362009503878653, 0.1128948526084423, -0.14494206665083767, -0.06780517190694808, 0.13019537821412086, 0.25903229251503945, -0.15458398818969726, -0.23957694366574286, 0.13413917161058633, -0.2816847146488726, -0.1771106257289648, 0.26228739961981773, 0.014844308122992516, 0.004815198704600334, -0.03862759277224541, 0.10635406494140626, -0.10063273292034865, -0.29883547879755495, 0.3107948526740074, -0.028229251094162463, 0.13311283065006138, 0.2263898403942585, 0.018957881517708303, -0.0490741229057312, -0.034507771832868454, -0.16594462901353835, -0.232420090213418, 0.12600531812757254, 0.2892643818259239, 0.03137248106300831, 0.18524239402264356, -0.4013299304991961, -0.05489959934726357, 0.2114723570458591, 0.20096384497359396, -0.008359542600810527, -0.02230357561260462, -0.19691152289509772, 0.0755027712136507, -0.1332896201312542, -0.13209984861314297, -0.02309505220502615, 0.10369470484554767, 0.01950047444552183, -0.2952886751387268, 0.09793361499905587, 0.12713567912578583, 0.09205181634868495, -0.047676644772291187, -0.2565054617077112, 0.09844320721924305, 0.08537085616961121, 0.12749068821780385, -0.004647120386362075, 0.00808867545798421, -0.11903752229176462, -0.023854740038514136, 0.26775928907096386, -0.08411029249429702, -0.23715994566679, 0.079793038982898, -0.2133491699025035, -0.2013276422023773, 0.14374575905501843, 0.13148478807881475, 0.13065459951758385, -0.03212865099310875, 0.23329693022882567, -0.11828394785523415, 0.0676372367143631, 0.1362487830966711, 0.03880454443395138, 0.09840092204511165, 0.0016408087685704231, 0.12588757518678903, 0.24143751546740533, -0.005249914173036814, -0.03995137095451355, -0.4694854453206062, -0.24504355788230897, -0.23114753141999245, 0.06248747933655977, -0.16110813900770155, -0.2305135167343542, 0.3937340098619461, 0.1067624581977725, 0.2330764593742788, 0.16367782485671342, 0.30217036470770836, 0.25750485237687826, -0.03187093608081341, 0.08167365981265902, 0.1616159462800715, 0.15849415645003317, 0.014255228862166404, -0.13893420344218613, 0.03151714313775301, 0.15027820315212012] |
710.3823 | Eccentric binary black-hole mergers: The transition from inspiral to
plunge in general relativity | We study the transition from inspiral to plunge in general relativity by
computing gravitational waveforms of non-spinning, equal-mass black-hole
binaries. We consider three sequences of simulations, starting with a
quasi-circular inspiral completing 1.5, 2.3 and 9.6 orbits, respectively, prior
to coalescence of the holes. For each sequence, the binding energy of the
system is kept constant and the orbital angular momentum is progressively
reduced, producing orbits of increasing eccentricity and eventually a head-on
collision. We analyze in detail the radiation of energy and angular momentum in
gravitational waves, the contribution of different multipolar components and
the final spin of the remnant. We find that the motion transitions from
inspiral to plunge when the orbital angular momentum L=L_crit is about 0.8M^2.
For L<L_crit the radiated energy drops very rapidly. Orbits with L of about
L_crit produce our largest dimensionless Kerr parameter for the remnant,
j=J/M^2=0.724. Generalizing a model recently proposed by Buonanno, Kidder and
Lehner to eccentric binaries, we conjecture that (1) j=0.724 is the maximal
Kerr parameter that can be obtained by any merger of non-spinning holes, and
(2) no binary merger (even if the binary members are extremal Kerr black holes
with spins aligned to the orbital angular momentum, and the inspiral is highly
eccentric) can violate the cosmic censorship conjecture.
| gr-qc astro-ph hep-th | we study the transition from inspiral to plunge in general relativity by computing gravitational waveforms of nonspinning equalmass blackhole binaries we consider three sequences of simulations starting with a quasicircular inspiral completing 15 23 and 96 orbits respectively prior to coalescence of the holes for each sequence the binding energy of the system is kept constant and the orbital angular momentum is progressively reduced producing orbits of increasing eccentricity and eventually a headon collision we analyze in detail the radiation of energy and angular momentum in gravitational waves the contribution of different multipolar components and the final spin of the remnant we find that the motion transitions from inspiral to plunge when the orbital angular momentum ll_crit is about 08m2 for ll_crit the radiated energy drops very rapidly orbits with l of about l_crit produce our largest dimensionless kerr parameter for the remnant jjm20724 generalizing a model recently proposed by buonanno kidder and lehner to eccentric binaries we conjecture that 1 j0724 is the maximal kerr parameter that can be obtained by any merger of nonspinning holes and 2 no binary merger even if the binary members are extremal kerr black holes with spins aligned to the orbital angular momentum and the inspiral is highly eccentric can violate the cosmic censorship conjecture | [['we', 'study', 'the', 'transition', 'from', 'inspiral', 'to', 'plunge', 'in', 'general', 'relativity', 'by', 'computing', 'gravitational', 'waveforms', 'of', 'nonspinning', 'equalmass', 'blackhole', 'binaries', 'we', 'consider', 'three', 'sequences', 'of', 'simulations', 'starting', 'with', 'a', 'quasicircular', 'inspiral', 'completing', '15', '23', 'and', '96', 'orbits', 'respectively', 'prior', 'to', 'coalescence', 'of', 'the', 'holes', 'for', 'each', 'sequence', 'the', 'binding', 'energy', 'of', 'the', 'system', 'is', 'kept', 'constant', 'and', 'the', 'orbital', 'angular', 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710.3824 | Deterministic Secure Positioning in Wireless Sensor Networks | Properly locating sensor nodes is an important building block for a large
subset of wireless sensor networks (WSN) applications. As a result, the
performance of the WSN degrades significantly when misbehaving nodes report
false location and distance information in order to fake their actual location.
In this paper we propose a general distributed deterministic protocol for
accurate identification of faking sensors in a WSN. Our scheme does \emph{not}
rely on a subset of \emph{trusted} nodes that are not allowed to misbehave and
are known to every node in the network. Thus, any subset of nodes is allowed to
try faking its position. As in previous approaches, our protocol is based on
distance evaluation techniques developed for WSN. On the positive side, we show
that when the received signal strength (RSS) technique is used, our protocol
handles at most $\lfloor \frac{n}{2} \rfloor-2$ faking sensors. Also, when the
time of flight (ToF) technique is used, our protocol manages at most $\lfloor
\frac{n}{2} \rfloor - 3$ misbehaving sensors. On the negative side, we prove
that no deterministic protocol can identify faking sensors if their number is
$\lceil \frac{n}{2}\rceil -1$. Thus our scheme is almost optimal with respect
to the number of faking sensors. We discuss application of our technique in the
trusted sensor model. More precisely our results can be used to minimize the
number of trusted sensors that are needed to defeat faking ones.
| cs.CR cs.DC cs.DS cs.NI | properly locating sensor nodes is an important building block for a large subset of wireless sensor networks wsn applications as a result the performance of the wsn degrades significantly when misbehaving nodes report false location and distance information in order to fake their actual location in this paper we propose a general distributed deterministic protocol for accurate identification of faking sensors in a wsn our scheme does emphnot rely on a subset of emphtrusted nodes that are not allowed to misbehave and are known to every node in the network thus any subset of nodes is allowed to try faking its position as in previous approaches our protocol is based on distance evaluation techniques developed for wsn on the positive side we show that when the received signal strength rss technique is used our protocol handles at most lfloor fracn2 rfloor2 faking sensors also when the time of flight tof technique is used our protocol manages at most lfloor fracn2 rfloor 3 misbehaving sensors on the negative side we prove that no deterministic protocol can identify faking sensors if their number is lceil fracn2rceil 1 thus our scheme is almost optimal with respect to the number of faking sensors we discuss application of our technique in the trusted sensor model more precisely our results can be used to minimize the number of trusted sensors that are needed to defeat faking ones | [['properly', 'locating', 'sensor', 'nodes', 'is', 'an', 'important', 'building', 'block', 'for', 'a', 'large', 'subset', 'of', 'wireless', 'sensor', 'networks', 'wsn', 'applications', 'as', 'a', 'result', 'the', 'performance', 'of', 'the', 'wsn', 'degrades', 'significantly', 'when', 'misbehaving', 'nodes', 'report', 'false', 'location', 'and', 'distance', 'information', 'in', 'order', 'to', 'fake', 'their', 'actual', 'location', 'in', 'this', 'paper', 'we', 'propose', 'a', 'general', 'distributed', 'deterministic', 'protocol', 'for', 'accurate', 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710.3825 | Product and anti-Hermitian structures on the tangent space | Noting that the complete lift of a Rimannian metric defined on a
differentiable manifold is not 0-homogeneous on the fibers of the tangent
bundle . In this paper we introduce a new lift which is 0-homogeneous. It
determines on slit tangent bundle a pseudo-Riemannian metric, which depends
only on the metric . We study some of the geometrical properties of this
pseudo-Riemannian space and define the natural almost complex structure and
natural almost product structure which preserve the property of homogeneity and
find some new results.
| math.DG math-ph math.MP | noting that the complete lift of a rimannian metric defined on a differentiable manifold is not 0homogeneous on the fibers of the tangent bundle in this paper we introduce a new lift which is 0homogeneous it determines on slit tangent bundle a pseudoriemannian metric which depends only on the metric we study some of the geometrical properties of this pseudoriemannian space and define the natural almost complex structure and natural almost product structure which preserve the property of homogeneity and find some new results | [['noting', 'that', 'the', 'complete', 'lift', 'of', 'a', 'rimannian', 'metric', 'defined', 'on', 'a', 'differentiable', 'manifold', 'is', 'not', '0homogeneous', 'on', 'the', 'fibers', 'of', 'the', 'tangent', 'bundle', 'in', 'this', 'paper', 'we', 'introduce', 'a', 'new', 'lift', 'which', 'is', '0homogeneous', 'it', 'determines', 'on', 'slit', 'tangent', 'bundle', 'a', 'pseudoriemannian', 'metric', 'which', 'depends', 'only', 'on', 'the', 'metric', 'we', 'study', 'some', 'of', 'the', 'geometrical', 'properties', 'of', 'this', 'pseudoriemannian', 'space', 'and', 'define', 'the', 'natural', 'almost', 'complex', 'structure', 'and', 'natural', 'almost', 'product', 'structure', 'which', 'preserve', 'the', 'property', 'of', 'homogeneity', 'and', 'find', 'some', 'new', 'results']] | [-0.17971725798478083, 0.04920323055315142, -0.09211367823272235, 0.051767900408733455, -0.16210608301861656, -0.08326700555958919, -0.024086561518266707, 0.3920647708166923, -0.30905527277805267, -0.18120617333001324, 0.08398209816438057, -0.21233888058174802, -0.2443606109646637, 0.1581541576555797, -0.1425395883908052, -0.02360642036156995, 0.060750159434974194, 0.1197125099189136, -0.13979623600607738, -0.2373830032634682, 0.48016632729697795, 0.034054165706038475, 0.27372077719441484, 0.08546990546996572, 0.21100269799076377, -0.008060393195288876, -0.006307594724819951, 0.041836394212926585, -0.1734246860090761, 0.12635509240707116, 0.15295731498294377, 0.13305801835321335, 0.20312121135204853, -0.33717235713265836, -0.17661768135093597, 0.150812686637177, 0.07410622861546774, -0.03557582065557307, 0.03376888065221941, -0.27641082359921365, 0.08560502964315847, -0.07877367690560363, -0.11623665390236836, -0.11045186424217675, -0.009727251416604434, -0.026835996701958634, -0.1770717502319409, -0.051531482698573244, 0.148324349917294, 0.07995226458158522, -0.08501280672637568, -0.010763695042225577, -0.07181495790635901, 0.07427721002715684, 0.011330926962684663, 0.08019047044494766, 0.12265418443850995, -0.05644980679997908, -0.05978573966422118, 0.41132246880304246, -0.08114354014174924, -0.2993708286390063, 0.12820668735713253, -0.16093623002858035, -0.15514745255045237, 0.09593578924181029, 0.16422957900379384, 0.18746975600896848, -0.07874203472359416, 0.14318436338535753, -0.12388660345736537, 0.11763191932723635, 0.10516335407183283, 0.02918239420701173, 0.13964360695154893, 0.1478587055268387, 0.14549770726201436, 0.09970411382493607, -0.013574790941285235, -0.09089330070474673, -0.36388373005736085, -0.279900242641036, -0.1320217635948211, 0.14596735683586476, -0.12410702410523386, -0.23892681704213223, 0.4347301330361959, 0.05421989344592605, 0.26901760778301176, 0.0667431517323989, 0.23915467611680338, 0.04313363129317406, 0.08204805542759243, 0.06334277924283274, 0.24019914369689235, 0.14225396083756572, 0.016708011872002056, -0.11677127369746033, 0.008407984089682855, 0.10132721868354738] |
710.3826 | R fluids | A theory of collisionless fluids is developed in a unified picture, where
nonrotating figures with anisotropic random velocity component distributions
and rotating figures with isotropic random velocity component distributions,
make adjoints configurations to the same system. R fluids are defined and mean
and rms angular velocities and mean and rms tangential velocity components are
expressed, by weighting on the moment of inertia and the mass, respectively.
The definition of figure rotation is extended to R fluids. The generalized
tensor virial equations are formulated for R fluids and further attention is
devoted to axisymmetric configurations where, for selected coordinate axes, a
variation in figure rotation has to be counterbalanced by a variation in
anisotropy excess and vice versa. A microscopical analysis of systematic and
random motions is performed under a few general hypotheses, by reversing the
sign of tangential or axial velocity components of an assigned fraction of
particles, leaving the distribution function and other parameters unchanged
(Meza 2002). The application of the reversion process to tangential velocity
components, implies the conversion of random motion rotation kinetic energy
into systematic motion rotation kinetic energy. The application of the
reversion process to axial velocity components, implies the conversion of
random motion translation kinetic energy into systematic motion translation
kinetic energy, and the loss related to a change of reference frame is
expressed in terms of systematic (imaginary) motion rotation kinetic energy. A
procedure is sketched for deriving the spin parameter distribution (including
imaginary rotation) from a sample of observed or simulated large-scale
collisionless fluids i.e. galaxies and galaxy clusters.
| astro-ph | a theory of collisionless fluids is developed in a unified picture where nonrotating figures with anisotropic random velocity component distributions and rotating figures with isotropic random velocity component distributions make adjoints configurations to the same system r fluids are defined and mean and rms angular velocities and mean and rms tangential velocity components are expressed by weighting on the moment of inertia and the mass respectively the definition of figure rotation is extended to r fluids the generalized tensor virial equations are formulated for r fluids and further attention is devoted to axisymmetric configurations where for selected coordinate axes a variation in figure rotation has to be counterbalanced by a variation in anisotropy excess and vice versa a microscopical analysis of systematic and random motions is performed under a few general hypotheses by reversing the sign of tangential or axial velocity components of an assigned fraction of particles leaving the distribution function and other parameters unchanged meza 2002 the application of the reversion process to tangential velocity components implies the conversion of random motion rotation kinetic energy into systematic motion rotation kinetic energy the application of the reversion process to axial velocity components implies the conversion of random motion translation kinetic energy into systematic motion translation kinetic energy and the loss related to a change of reference frame is expressed in terms of systematic imaginary motion rotation kinetic energy a procedure is sketched for deriving the spin parameter distribution including imaginary rotation from a sample of observed or simulated largescale collisionless fluids ie galaxies and galaxy clusters | [['a', 'theory', 'of', 'collisionless', 'fluids', 'is', 'developed', 'in', 'a', 'unified', 'picture', 'where', 'nonrotating', 'figures', 'with', 'anisotropic', 'random', 'velocity', 'component', 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710.3827 | Topological Born-Infeld-dilaton black holes | We construct a new analytic solution of Einstein-Born-Infeld-dilaton theory
in the presence of Liouville-type potentials for the dilaton field. These
solutions describe dilaton black holes with nontrivial topology and nonlinear
electrodynamics. Black hole horizons and cosmological horizons in these
spacetimes, can be a two-dimensional positive, zero or negative constant
curvature surface. The asymptotic behavior of these solutions are neither flat
nor (A)dS. We calculate the conserved and thermodynamic quantities of these
solutions and verify that these quantities satisfy the first law of black hole
thermodynamics.
| hep-th | we construct a new analytic solution of einsteinborninfelddilaton theory in the presence of liouvilletype potentials for the dilaton field these solutions describe dilaton black holes with nontrivial topology and nonlinear electrodynamics black hole horizons and cosmological horizons in these spacetimes can be a twodimensional positive zero or negative constant curvature surface the asymptotic behavior of these solutions are neither flat nor ads we calculate the conserved and thermodynamic quantities of these solutions and verify that these quantities satisfy the first law of black hole thermodynamics | [['we', 'construct', 'a', 'new', 'analytic', 'solution', 'of', 'einsteinborninfelddilaton', 'theory', 'in', 'the', 'presence', 'of', 'liouvilletype', 'potentials', 'for', 'the', 'dilaton', 'field', 'these', 'solutions', 'describe', 'dilaton', 'black', 'holes', 'with', 'nontrivial', 'topology', 'and', 'nonlinear', 'electrodynamics', 'black', 'hole', 'horizons', 'and', 'cosmological', 'horizons', 'in', 'these', 'spacetimes', 'can', 'be', 'a', 'twodimensional', 'positive', 'zero', 'or', 'negative', 'constant', 'curvature', 'surface', 'the', 'asymptotic', 'behavior', 'of', 'these', 'solutions', 'are', 'neither', 'flat', 'nor', 'ads', 'we', 'calculate', 'the', 'conserved', 'and', 'thermodynamic', 'quantities', 'of', 'these', 'solutions', 'and', 'verify', 'that', 'these', 'quantities', 'satisfy', 'the', 'first', 'law', 'of', 'black', 'hole', 'thermodynamics']] | [-0.20444124421543058, 0.09050109960577067, -0.08732646378305028, 0.14903852141133564, -0.10330762585953754, -0.21737322015139987, -0.030776589589796084, 0.28211972187547124, -0.16194978711359642, -0.24358727602589436, 0.12521938192658127, -0.3610812306842383, -0.14458397968453082, 0.15937040745938086, -0.0375317542868502, 0.0899077650378732, -0.058530418898033745, 0.022485111116924708, -0.10192899687818306, -0.21834693546680845, 0.4224506365080528, 0.008762387920390156, 0.2253529016257209, 0.03774104524294243, 0.11358811640016296, -0.07926214917508119, 0.04238010481931269, 0.11692085577284589, -0.23950790840634215, 0.059964413562899124, 0.20313121370204232, 0.08433326520299649, 0.156445107743596, -0.4398222107659368, -0.2550681434133474, 0.08707000102354762, 0.1326628477038706, 0.17827921034220387, -0.12631953638594817, -0.25461102851173456, 0.09192076619057095, -0.18804968037259054, -0.21258307200418236, -0.15353850733269664, 0.02436349907588652, 0.016360912293962696, -0.17803016899098806, 0.15317079720142132, 0.052911594017025304, -0.06390895563013413, -0.2250010538243634, -0.008639781078433289, -0.05498437264879399, 0.11706484110532876, 0.1856321816716124, -0.040483652686645444, 0.14250187997103614, -0.11959784115281175, -0.129828215319225, 0.2812384748393122, -0.08196191310006029, -0.25895318316624444, 0.14919050240012652, -0.24925587524605147, -0.09745171567945576, 0.06876682796762051, 0.1491083838209948, 0.23074529393591495, -0.15016924370737636, 0.20226961536168614, 0.034262073352275525, 0.16114383889910053, 0.1258442149579744, 0.0666426413692534, 0.396983082066564, 0.0005884603104170631, 0.034133905459962345, 0.11417088088826002, 0.041126587444587664, -0.13361262308967792, -0.41010358920868706, -0.19125459353056024, -0.13972491909037618, 0.1627064793526455, -0.23020828008473687, -0.27220733146018844, 0.3196629102287047, 0.07244468887391335, 0.12820419548627207, 0.06754710279843386, 0.18249827299274757, 0.1237308816107757, 0.0025177807684111245, 0.13527894017341383, 0.3357482364291654, 0.12746088971274303, 0.1499162559342735, -0.23926478735280826, -0.09223282406763995, 0.1344197237151949] |
710.3828 | Masses and magnetic moments of heavy flavour baryons in hyper central
model | We employ the hyper central approach to study the masses and magnetic moments
of the baryons constituting single charm and beauty quark. The confinement
potential is assumed in the hyper central co-ordinates of the coulomb plus
power potential form.
| hep-ph | we employ the hyper central approach to study the masses and magnetic moments of the baryons constituting single charm and beauty quark the confinement potential is assumed in the hyper central coordinates of the coulomb plus power potential form | [['we', 'employ', 'the', 'hyper', 'central', 'approach', 'to', 'study', 'the', 'masses', 'and', 'magnetic', 'moments', 'of', 'the', 'baryons', 'constituting', 'single', 'charm', 'and', 'beauty', 'quark', 'the', 'confinement', 'potential', 'is', 'assumed', 'in', 'the', 'hyper', 'central', 'coordinates', 'of', 'the', 'coulomb', 'plus', 'power', 'potential', 'form']] | [-0.09033801048420943, 0.13702588826895523, -0.08762771987284605, 0.11619142576968536, -0.02494953594242151, -0.0703979339928199, 0.04857631925588999, 0.29872935313062793, -0.20336611385051256, -0.2958426446868823, -0.04667267803019152, -0.3273368732860455, -0.005342652424214742, 0.03811651888566139, 0.0716577841876409, 0.021031464999302838, -0.02313990076072514, 0.07829356832334246, -0.03169053291472105, -0.20123242577299094, 0.3727354173285839, 0.0072353229834101135, 0.19627263244145957, 0.1236171358718704, 0.0495217853727249, 0.06540356488086474, -0.01860155423100178, -0.02384618089462702, -0.0516647445037961, 0.1294743138938569, 0.06074123979301359, 0.022260893130292878, 0.23913782663070238, -0.38704866767884827, -0.12328852913103616, 0.1257333326845979, 0.16930273453442332, 0.08833805213753994, -0.09610561300546695, -0.25927885935808986, 0.07108928597508332, -0.1835546290072111, -0.23196235425674763, -0.12547971053908652, -0.014536086171387862, 0.08895341272895727, -0.3017340609087394, 0.11897529785831769, -0.014569084852551803, -0.004799100630080853, -0.06551050434175593, -0.20740107698843646, -0.06726914361262551, 0.09497402169001408, 0.06628759110418077, 0.0759721784434544, 0.18190630074017322, -0.2213342498155096, -0.09978921102503172, 0.443806249075211, -0.011142349157195825, -0.1733861692631856, 0.13592447400188598, -0.2134040511953525, -0.1207568348886875, 0.07586303324653552, 0.24085112747091514, 0.09172041745235522, -0.2097988013560191, 0.13719680852507457, 0.0077231803861184, 0.18045946778968358, 0.055521299107334554, 0.046905641682828084, 0.3005510219969811, 0.18943264853591338, -0.04256267592501946, 0.10139461081379499, -0.15978728840127587, -0.13698538994559875, -0.3533269480014077, -0.09432491858919653, -0.15589093268872836, 0.02411055834725117, -0.1071580100844865, -0.1413578317524531, 0.3802093462339447, 0.0578444634970182, 0.1943191237305888, -0.0458965501956976, 0.3246796706166023, 0.10349234250875619, 0.13381499683675477, 0.0742618022665668, 0.283344371483112, 0.27941319530304426, 0.16969323869293126, -0.26702041767585355, -0.08322985945508266, 0.09375960699831828] |
710.3829 | Multi-scale Entanglement Renormalization Ansatz in Two Dimensions:
Quantum Ising Model | We propose a symmetric version of the multi-scale entanglement
renormalization Ansatz (MERA) in two spatial dimensions (2D) and use this
Ansatz to find an unknown ground state of a 2D quantum system. Results in the
simple 2D quantum Ising model on the $8\times8$ square lattice are found to be
very accurate even with the smallest non-trivial truncation parameter.
| cond-mat.other cond-mat.mes-hall cond-mat.stat-mech cond-mat.str-el physics.comp-ph quant-ph | we propose a symmetric version of the multiscale entanglement renormalization ansatz mera in two spatial dimensions 2d and use this ansatz to find an unknown ground state of a 2d quantum system results in the simple 2d quantum ising model on the 8times8 square lattice are found to be very accurate even with the smallest nontrivial truncation parameter | [['we', 'propose', 'a', 'symmetric', 'version', 'of', 'the', 'multiscale', 'entanglement', 'renormalization', 'ansatz', 'mera', 'in', 'two', 'spatial', 'dimensions', '2d', 'and', 'use', 'this', 'ansatz', 'to', 'find', 'an', 'unknown', 'ground', 'state', 'of', 'a', '2d', 'quantum', 'system', 'results', 'in', 'the', 'simple', '2d', 'quantum', 'ising', 'model', 'on', 'the', '8times8', 'square', 'lattice', 'are', 'found', 'to', 'be', 'very', 'accurate', 'even', 'with', 'the', 'smallest', 'nontrivial', 'truncation', 'parameter']] | [-0.12612459497076683, 0.1398214777986266, -0.06002326926280712, 0.04644238424350925, -0.028831822701312345, -0.204186644373012, -0.024460274653894633, 0.3705979295974148, -0.21518179510944876, -0.24432657078582923, 0.09124918325788117, -0.2409638827987786, -0.1767184929922223, 0.11999148544293411, 0.03529863754801195, 0.11577806951466081, 0.057745516830091846, 0.02814854053250546, -0.1544080479752979, -0.22742247937953677, 0.29054086660195527, 0.014191838402847021, 0.3220298983606285, 0.014736807893094575, 0.08937989852134266, -0.016867290808947694, 0.06054544940606916, 0.030698774173727322, -0.16283859408878046, 0.12968811648094963, 0.209055053600078, -0.0047590912877710475, 0.2046910921946682, -0.4102938947235716, -0.21858120027223024, 0.052709810748889016, 0.1396483156814015, 0.23236962680801235, -0.004544046717487147, -0.32486472487578105, 0.03581489156931639, -0.23032682315157404, -0.1781472703763123, -0.14573374316738597, -0.024936518053813226, -0.10349779229225783, -0.2715328619213261, 0.11469292305088763, 0.009248166541761622, 0.040129634252636985, -0.015390414688415054, -0.08254615763997145, 0.006552839266328976, 0.11046741557596572, -0.03699399219576976, 0.027522061871172024, 0.03585247060380362, -0.15900196068807795, -0.12254701535506494, 0.3720721260419694, -0.020492675075917666, -0.27175060449296545, 0.19096329493512368, -0.10860928364804592, -0.12666184454353463, 0.09774665179630292, 0.12929221831968632, 0.09423425792844901, -0.13234229384247084, 0.12293456091669966, -0.1122305648369265, 0.21198064635371275, -0.03219514705465529, 0.03763956547682655, 0.17856769056605368, 0.12493261296687455, 0.07792929690010075, 0.19923195882162464, -0.10355478515125939, -0.17886649558706016, -0.2728221715299477, -0.15081858233692214, -0.28089066645820976, 0.1072996323928237, -0.15996002912464158, -0.2530808135353286, 0.4151112270413031, 0.16190021656100348, 0.20110543090689542, 0.03988060146441747, 0.22702020524744074, 0.11291487475230905, 0.05687764429904778, 0.08772329962611648, 0.1878405244828298, 0.11486414870536275, 0.020009545256094687, -0.2492225075397512, -0.049136423008066824, 0.16657590279997936] |
710.383 | Spin-Dependent Mass Enhancement under Magnetic Field in the Periodic
Anderson Model | In order to study the mechanism of the mass enhancement in heavy fermion
compounds in the presence of magnetic field, we study the periodic Anderson
model using the fluctuation exchange approximation. The resulting value of the
mass enhancement factor z^{-1} can become up to 10, which is significantly
larger than that in the single-band Hubbard model. We show that the difference
between the magnitude of the mass enhancement factor of up spin (minority spin)
electrons z^{-1}_up and that of down spin (majority spin) electrons z^{-1}_down
increases by the applied magnetic field B//z, which is consistent with de
Haas-van Alphen measurements for CeCoIn_5, CeRu_2Si_2 and CePd_2Si_2. We
predict that z^{-1}_up >z^{-1}_down in many Ce compounds, whereas z^{-1}_up <
z^{-1}_down in Yb compounds.
| cond-mat.str-el | in order to study the mechanism of the mass enhancement in heavy fermion compounds in the presence of magnetic field we study the periodic anderson model using the fluctuation exchange approximation the resulting value of the mass enhancement factor z1 can become up to 10 which is significantly larger than that in the singleband hubbard model we show that the difference between the magnitude of the mass enhancement factor of up spin minority spin electrons z1_up and that of down spin majority spin electrons z1_down increases by the applied magnetic field bz which is consistent with de haasvan alphen measurements for cecoin_5 ceru_2si_2 and cepd_2si_2 we predict that z1_up z1_down in many ce compounds whereas z1_up z1_down in yb compounds | [['in', 'order', 'to', 'study', 'the', 'mechanism', 'of', 'the', 'mass', 'enhancement', 'in', 'heavy', 'fermion', 'compounds', 'in', 'the', 'presence', 'of', 'magnetic', 'field', 'we', 'study', 'the', 'periodic', 'anderson', 'model', 'using', 'the', 'fluctuation', 'exchange', 'approximation', 'the', 'resulting', 'value', 'of', 'the', 'mass', 'enhancement', 'factor', 'z1', 'can', 'become', 'up', 'to', '10', 'which', 'is', 'significantly', 'larger', 'than', 'that', 'in', 'the', 'singleband', 'hubbard', 'model', 'we', 'show', 'that', 'the', 'difference', 'between', 'the', 'magnitude', 'of', 'the', 'mass', 'enhancement', 'factor', 'of', 'up', 'spin', 'minority', 'spin', 'electrons', 'z1_up', 'and', 'that', 'of', 'down', 'spin', 'majority', 'spin', 'electrons', 'z1_down', 'increases', 'by', 'the', 'applied', 'magnetic', 'field', 'bz', 'which', 'is', 'consistent', 'with', 'de', 'haasvan', 'alphen', 'measurements', 'for', 'cecoin_5', 'ceru_2si_2', 'and', 'cepd_2si_2', 'we', 'predict', 'that', 'z1_up', 'z1_down', 'in', 'many', 'ce', 'compounds', 'whereas', 'z1_up', 'z1_down', 'in', 'yb', 'compounds']] | [-0.13963763668434695, 0.22912814759183675, 0.011345899958784381, 0.07590029656615419, -0.003281996996762852, -0.09193920866431048, 0.08104110146135403, 0.32832042551599444, -0.21179067509559293, -0.32558199763298035, -0.03205781889652523, -0.33777082185260954, -0.08194138146936894, 0.19850909842255834, 0.05401756817785402, -0.047561913495883346, -0.03017774152685888, -0.009902509526970487, -0.12591131895702953, -0.2291644891879211, 0.2767178190328802, 0.042297920503187925, 0.28011543800433475, 0.04932878314090582, 0.019482418198216087, 0.019026015241009494, 0.12211570421544214, 0.004863979698469242, -0.10267307964507684, 0.03485561964722971, 0.22683700921867664, -0.08630392579361797, 0.17227666572822878, -0.3715383713094828, -0.1893880501932775, 0.060177946909486, 0.1582861992996186, 0.13514210156378492, -0.07524065280643602, -0.23079338493601728, 0.08291465599322692, -0.1932437643544593, -0.11296732982542987, -0.08279342129341481, -0.03077839272445999, -0.031158595314870276, -0.27950808526948095, 0.16588855060593535, 0.06573644508607686, 0.07248552959257117, -0.10820744464096303, -0.14710694089784132, -0.07407264848782992, 0.014259619110574325, 0.11747211751450475, 0.09132783178550502, 0.14402306242457902, -0.12006172685263057, -0.10097523511503823, 0.3461425382023056, -0.12933692362142513, -0.05338985418590406, 0.1359003807650879, -0.2515541210654192, -0.09432047611068507, 0.15582715605851263, 0.13304267635030556, 0.07647619080574562, -0.1277163375945141, 0.08306988736828012, -0.027452922775410116, 0.20430240278171066, 0.041862279665656386, 0.05168844358995557, 0.222155349709404, 0.1677214539978498, 0.014432432851269066, 0.0701047231326811, -0.1382349573347407, -0.0821889392255495, -0.15928404120495543, -0.18392932252415145, -0.16419980742114906, 0.06558661148883402, -0.0867663444832336, -0.15449705075783035, 0.40080181872472165, 0.21296920611251455, 0.17703677131988418, -0.04983078855051038, 0.20935352396724435, 0.1281024305605873, 0.11507137968631771, 0.061378982985236995, 0.27335048838867804, 0.17329098427629408, 0.0946791034269457, -0.3267465152331473, 0.03832525712981199, 0.0358808811288327] |
710.3831 | A truth about Brownian motion in gases and in general | Real thermal motion of gas molecules, free electrons, etc., at long time
intervals (much greater than mean free-flight time) possesses, contrary to its
popular mathematical models, essentially non-Gaussian statistics. A simple
proof of this statement is suggested basing on only the determinism and
reversibility of microscopic dynamics and besides incidentally derived virial
expansion of a path probability distribution of molecular Brownian particle.
| cond-mat.stat-mech | real thermal motion of gas molecules free electrons etc at long time intervals much greater than mean freeflight time possesses contrary to its popular mathematical models essentially nongaussian statistics a simple proof of this statement is suggested basing on only the determinism and reversibility of microscopic dynamics and besides incidentally derived virial expansion of a path probability distribution of molecular brownian particle | [['real', 'thermal', 'motion', 'of', 'gas', 'molecules', 'free', 'electrons', 'etc', 'at', 'long', 'time', 'intervals', 'much', 'greater', 'than', 'mean', 'freeflight', 'time', 'possesses', 'contrary', 'to', 'its', 'popular', 'mathematical', 'models', 'essentially', 'nongaussian', 'statistics', 'a', 'simple', 'proof', 'of', 'this', 'statement', 'is', 'suggested', 'basing', 'on', 'only', 'the', 'determinism', 'and', 'reversibility', 'of', 'microscopic', 'dynamics', 'and', 'besides', 'incidentally', 'derived', 'virial', 'expansion', 'of', 'a', 'path', 'probability', 'distribution', 'of', 'molecular', 'brownian', 'particle']] | [-0.10287281486389768, 0.1434221749584521, -0.16859042234418373, 0.11752515245649603, -0.05698235981887387, -0.14742100458862561, 0.06551819582349591, 0.34009177816070374, -0.24201046079096775, -0.25128897887864904, 0.04556624339743247, -0.24377502866780326, -0.058968895051117624, 0.18377672395135666, -0.03253991511319914, 0.046562525172409934, 0.03874256089705253, 0.05305453905114724, -0.032456509558664214, -0.21677221281213627, 0.2151081890145677, 0.10247799889334748, 0.256402543013645, 0.039621801429142754, 0.19355375450404902, 0.008858805424683997, -0.04380157127114569, 0.0013294428785992486, -0.17623914929948026, 0.08440400741716486, 0.12142423976987513, 0.05687201201104589, 0.28420456527401844, -0.44617162095082386, -0.24106545914565364, 0.103481003053246, 0.16277761018324283, 0.10572932458918301, 0.015684864219022734, -0.24898757690924309, -0.0008178508479989344, -0.13769112127803027, -0.1767609915620978, -0.028141047411237755, 0.09251767984260956, 0.012327348993670556, -0.18251239120840065, 0.19142269354591507, 0.08598446016079717, 0.11311883736221541, -0.02266216943896706, -0.11811311464876897, -0.00572648927599432, 0.05786877594167186, 0.060174022339314466, -0.008532115926725729, 0.2327828851994127, -0.10876152794357509, -0.09248140138844328, 0.42016859286494795, -0.04171939542814676, -0.19372488867731824, 0.2279153978865173, -0.19685019605282333, -0.12523683029106789, 0.18228424781362615, 0.0803451718773783, 0.11033112161432303, -0.16845326002446875, 0.053025204280857, -0.04992140892652735, 0.17990185644462584, 0.10338158621602962, 0.057113941131730475, 0.20064866959998448, 0.13961865146073602, 0.059571140866366126, 0.07899195550670547, -0.06022755358172881, -0.2127106712169705, -0.27139872234434853, -0.17744919822941865, -0.25479722551761136, 0.10350666881629056, -0.12788493869659084, -0.19069710168086232, 0.35773870904719635, 0.1443305580666469, 0.12481407704012047, 0.1358769952109264, 0.2910158702157318, 0.13914733344028074, -0.010580185109809521, 0.06202988213889541, 0.1581146903336048, 0.16319591929805616, 0.09769397321712947, -0.17985481889017166, 0.11335975212615824, 0.06414472443922874] |
710.3832 | Superfield Formulation of Nonlinear N=4 Supermultiplets | We propose a unified superfield formulation of N=4 off-shell supermultiplets
in one spacetime dimension using the standard N=4 superspace. The main idea of
our approach is a "gluing" together of two linear supermultiplets along their
fermions. The functions defining such a gluing obey a system of equations. Each
solution of this system provides a new supermultiplet, linear or nonlinear,
modulo equivalence transformations. In such a way we reproduce all known linear
and nonlinear N=4, d=1 supermultiplets and propose some new ones. Particularly
interesting is an explicit construction of nonlinear N=4 hypermultiplets.
| hep-th | we propose a unified superfield formulation of n4 offshell supermultiplets in one spacetime dimension using the standard n4 superspace the main idea of our approach is a gluing together of two linear supermultiplets along their fermions the functions defining such a gluing obey a system of equations each solution of this system provides a new supermultiplet linear or nonlinear modulo equivalence transformations in such a way we reproduce all known linear and nonlinear n4 d1 supermultiplets and propose some new ones particularly interesting is an explicit construction of nonlinear n4 hypermultiplets | [['we', 'propose', 'a', 'unified', 'superfield', 'formulation', 'of', 'n4', 'offshell', 'supermultiplets', 'in', 'one', 'spacetime', 'dimension', 'using', 'the', 'standard', 'n4', 'superspace', 'the', 'main', 'idea', 'of', 'our', 'approach', 'is', 'a', 'gluing', 'together', 'of', 'two', 'linear', 'supermultiplets', 'along', 'their', 'fermions', 'the', 'functions', 'defining', 'such', 'a', 'gluing', 'obey', 'a', 'system', 'of', 'equations', 'each', 'solution', 'of', 'this', 'system', 'provides', 'a', 'new', 'supermultiplet', 'linear', 'or', 'nonlinear', 'modulo', 'equivalence', 'transformations', 'in', 'such', 'a', 'way', 'we', 'reproduce', 'all', 'known', 'linear', 'and', 'nonlinear', 'n4', 'd1', 'supermultiplets', 'and', 'propose', 'some', 'new', 'ones', 'particularly', 'interesting', 'is', 'an', 'explicit', 'construction', 'of', 'nonlinear', 'n4', 'hypermultiplets']] | [-0.1586193364563879, 0.1333339147355758, -0.0631599800947767, 0.06545686177208324, -0.13554877845140603, -0.2086543317495303, -0.07863883895205927, 0.30557493869583685, -0.1904235325016818, -0.23209910563213731, 0.07147401315671811, -0.2830608795898465, -0.23616999069429936, 0.0879536733455997, -0.0660537723554196, 0.09251554203884942, -0.004363819680453002, 0.030955562649478952, -0.12364397075405897, -0.25476556161295744, 0.33692165415038117, -0.07982665110011022, 0.20110977040910785, -0.035804073771482314, 0.20357866601117855, 0.03512403315731457, 0.0042438903506231175, -0.035973631828040864, -0.04694282659073616, 0.1756102076045923, 0.2717850937349415, 0.10687810684820372, 0.13330741260446363, -0.4319415993497267, -0.1722873337026353, 0.05252680743937022, 0.196944305652773, 0.1654745088634337, -0.013117460383020424, -0.23886147125081703, -0.004770280097375859, -0.1684754210227466, -0.19417075981682802, -0.1287573738033873, -0.01886370877356647, -0.11173527781943698, -0.27895639002691586, 0.05062723719607015, 0.08450022651967438, 0.053608886344910976, -0.05985707590602093, -0.10357850895309309, -0.0655922368501446, 0.026742853834498467, 0.037136473291256765, 0.03172538827613487, 0.07590087541573487, -0.16171141598209904, -0.14702821512716813, 0.36940980670400536, -0.04694282659073616, -0.2799845823383593, 0.17499276126765614, -0.06767468025478032, -0.23541493265848648, 0.05872276162531657, 0.12410925242763299, 0.195243329423797, -0.19615715289754526, 0.20685141486407432, -0.10302616009529639, 0.16129260408886514, 0.09878532340811504, 0.04761088614423688, 0.1967584526033274, 0.14307343809363934, 0.08560842441415394, 0.16287185412391528, 0.06777876927670869, -0.06445299060810562, -0.4657781236283072, -0.19970849040252217, -0.0698633230211991, 0.08648594533308195, -0.16836632539455493, -0.1444508882615572, 0.4114525751466607, 0.1067881836648007, 0.16582695573854905, 0.12409048708114814, 0.2314888490670985, 0.1460789406945888, 0.10714959680450732, 0.056084190687205604, 0.19966524777131842, 0.1995403312612325, 0.032796845500163, -0.20044241341056077, -0.15101917879144242, 0.22436643274152998] |
710.3833 | A silence black hole: Hawking radiation at the Hagedorn temperature | We compute semi-classically the Hawking emission for different types of black
hole in type II string theory. In particular we analyze the thermal transition
between NS5 branes and Little String Theory, finding compelling evidence for
information recovering. We find that once the near horizon limit is taken the
emission of a full family of models is exactly thermal even if back-reaction is
taken into account. Consequently these theories are non-unitary and can not
convey any information about the black hole internal states. It is argue that
this behaviour matches the string theory expectations. We suggest a plausible
reason for the vanishing of the jet-quenching parameter in such theories.
| hep-th | we compute semiclassically the hawking emission for different types of black hole in type ii string theory in particular we analyze the thermal transition between ns5 branes and little string theory finding compelling evidence for information recovering we find that once the near horizon limit is taken the emission of a full family of models is exactly thermal even if backreaction is taken into account consequently these theories are nonunitary and can not convey any information about the black hole internal states it is argue that this behaviour matches the string theory expectations we suggest a plausible reason for the vanishing of the jetquenching parameter in such theories | [['we', 'compute', 'semiclassically', 'the', 'hawking', 'emission', 'for', 'different', 'types', 'of', 'black', 'hole', 'in', 'type', 'ii', 'string', 'theory', 'in', 'particular', 'we', 'analyze', 'the', 'thermal', 'transition', 'between', 'ns5', 'branes', 'and', 'little', 'string', 'theory', 'finding', 'compelling', 'evidence', 'for', 'information', 'recovering', 'we', 'find', 'that', 'once', 'the', 'near', 'horizon', 'limit', 'is', 'taken', 'the', 'emission', 'of', 'a', 'full', 'family', 'of', 'models', 'is', 'exactly', 'thermal', 'even', 'if', 'backreaction', 'is', 'taken', 'into', 'account', 'consequently', 'these', 'theories', 'are', 'nonunitary', 'and', 'can', 'not', 'convey', 'any', 'information', 'about', 'the', 'black', 'hole', 'internal', 'states', 'it', 'is', 'argue', 'that', 'this', 'behaviour', 'matches', 'the', 'string', 'theory', 'expectations', 'we', 'suggest', 'a', 'plausible', 'reason', 'for', 'the', 'vanishing', 'of', 'the', 'jetquenching', 'parameter', 'in', 'such', 'theories']] | [-0.11650107519623513, 0.14481549650965328, -0.10297077171573485, 0.18764851038684827, -0.08314144625156014, -0.16579533483902062, 0.01872058449144889, 0.3270315397358327, -0.19937591246518963, -0.28158066971270646, 0.08496603706993887, -0.32284090652872155, -0.12469934629000447, 0.14441383485164908, -0.04610910647790189, -0.03970327703454704, 0.011693169897491182, 0.06808083173948237, -0.08653498964203107, -0.20059842851737308, 0.3413799606927636, 0.033548103369496485, 0.2699681634074767, 0.0872030765188996, 0.07909444611208595, 0.0012863346330252374, 0.0007939574446667124, 0.06473911937360687, -0.15638066564443526, 0.05182792115643948, 0.24018972913920691, 0.15246612089686096, 0.16909670284776776, -0.4623979814695539, -0.2679650664881424, 0.11269703990546986, 0.16306777200575365, 0.22451614394473532, -0.03345908079710272, -0.2289832704614296, 0.0893760601600796, -0.1730858769474758, -0.1342430520388815, -0.04874541956814937, 0.05708710612142803, -0.10032384838322522, -0.2094076763605699, 0.08167373740946425, 0.07798577270996584, -0.02295989153423795, -0.10953457916534885, -0.04039201030671528, -0.05644930678385275, 0.13046296549685024, 0.1195328807613502, 0.003803788919295012, 0.13660221353940735, -0.1541908470012627, -0.11041551602236857, 0.34463877770004153, -0.05165949605698525, -0.14658461305036866, 0.1390883314651782, -0.20037301729704873, -0.152261542984181, 0.11474028452196056, 0.08280086408032933, 0.14590804022305678, -0.12775518075149092, 0.13220667099489625, -0.024436580519519607, 0.17421842175880792, 0.06399582289762933, 0.10113401855104948, 0.3598889264329854, 0.0948373482851484, -0.013578160950500105, 0.14701474351049573, -0.053867974508277794, -0.1318585251380379, -0.38524587929283305, -0.129303739841648, -0.12759270497890948, 0.10663642718133849, -0.15234387116867798, -0.17610958385867653, 0.2999806062801293, 0.16373110624219947, 0.18223053051365745, 0.038700348471239626, 0.2359700880780885, 0.13387137358249337, 0.029749558126139972, 0.11074719027857538, 0.29265079250628195, 0.09883765667607938, 0.07580132134306175, -0.23223443664297788, 0.0009009467127422491, 0.08284536950911085] |
710.3834 | Trace ideals for Fourier integral operators with non-smooth symbols II | We consider Fourier integral operators with symbols in modulation spaces and
non-smooth phase functions whose second orders of derivatives belong to certain
types of modulation space. We establish continuity and Schatten-von Neumann
properties of such operators when acting on modulation spaces.
| math.AP math.FA | we consider fourier integral operators with symbols in modulation spaces and nonsmooth phase functions whose second orders of derivatives belong to certain types of modulation space we establish continuity and schattenvon neumann properties of such operators when acting on modulation spaces | [['we', 'consider', 'fourier', 'integral', 'operators', 'with', 'symbols', 'in', 'modulation', 'spaces', 'and', 'nonsmooth', 'phase', 'functions', 'whose', 'second', 'orders', 'of', 'derivatives', 'belong', 'to', 'certain', 'types', 'of', 'modulation', 'space', 'we', 'establish', 'continuity', 'and', 'schattenvon', 'neumann', 'properties', 'of', 'such', 'operators', 'when', 'acting', 'on', 'modulation', 'spaces']] | [-0.19490214805232314, 0.13352220396443112, -0.018445717397986387, 0.09962216324013907, -0.12908462545175742, -0.07306993316586424, -0.006480475759883298, 0.3843962988282395, -0.3461903666668549, -0.16033844995062527, 0.2002408637000793, -0.27360042200491924, -0.16425541715651024, 0.20577295815072408, -0.12336963237399554, 0.0837931122812556, -0.022428852119823782, 0.05592885059190959, -0.22527501491330018, -0.2759692604006154, 0.5167691737595128, -0.13495333640404591, 0.2060376720775555, -0.05529787918416465, 0.09555862491904962, 0.06603786785428117, -0.041054471963789405, -0.11071576972040575, -0.15497131039184042, 0.13732684494518652, 0.25185371374302523, 0.003417926624689887, 0.23847046853383866, -0.42613035131518434, -0.2372905647881874, 0.21468143217356467, 0.07004431598797077, -0.09656978023760929, 0.026132625672489224, -0.32097198705120783, 0.026104617909323877, -0.11415710050340105, -0.10608952038171815, -0.1523380768598943, 0.023143757645767635, 0.15703238801258365, -0.3533313167167873, 0.0840523136416223, 0.04399695610854684, 0.08918741204571433, -0.2222750715275363, -0.08827546317266619, -0.01929516959708275, 0.06475994979931474, -0.028673299602460026, -0.009128760023996598, 0.032877506915389036, -0.0011360836783196868, -0.126805180433865, 0.3032089700558927, -0.08184170640051001, -0.2887214099670329, 0.14156743323021545, -0.26754743083402877, -0.11504504559334458, 0.03999129272770227, 0.16243517385205117, 0.15640935037148798, -0.050417470946274814, 0.1307207502668905, 0.05698868877072705, 0.14886009584112866, 0.1672827482859536, 0.20982437196937276, 0.050274655132032026, 0.03247874654352483, 0.19228198475817718, 0.18263334349342963, 0.010513461529981435, -0.0773663781782067, -0.3622992365825467, -0.17055107614525208, -0.14574596015509308, 0.0062755875107718675, -0.11366383542758185, -0.2651013180431796, 0.3984647810589749, 0.05645490953380742, 0.1474501543292185, 0.06036980695477346, 0.19653378622379244, 0.21231687207501837, 0.10301376192080902, 0.04674613280448972, 0.11486778153878886, 0.21856767779625044, 0.11561631846309799, -0.15196241093756882, 0.004383400991195586, 0.2563661060682157] |
710.3835 | The lessons from the running of the tensor-to-scalar ratio | We derive a simple consistency relation from the running of the
tensor-to-scalar ratio. This new relation is first order in the slow-roll
approximation. While for single field models we can obtain what can be found by
using other observables, multi-field cases in general give non-trivial
contributions dependent on the geometry of the field space and the inflationary
dynamics, which can be probed observationally from this relation. The running
of the tensor-to-scalar ratio may be detected by direct laser interferometer
experiments.
| astro-ph gr-qc hep-ph hep-th | we derive a simple consistency relation from the running of the tensortoscalar ratio this new relation is first order in the slowroll approximation while for single field models we can obtain what can be found by using other observables multifield cases in general give nontrivial contributions dependent on the geometry of the field space and the inflationary dynamics which can be probed observationally from this relation the running of the tensortoscalar ratio may be detected by direct laser interferometer experiments | [['we', 'derive', 'a', 'simple', 'consistency', 'relation', 'from', 'the', 'running', 'of', 'the', 'tensortoscalar', 'ratio', 'this', 'new', 'relation', 'is', 'first', 'order', 'in', 'the', 'slowroll', 'approximation', 'while', 'for', 'single', 'field', 'models', 'we', 'can', 'obtain', 'what', 'can', 'be', 'found', 'by', 'using', 'other', 'observables', 'multifield', 'cases', 'in', 'general', 'give', 'nontrivial', 'contributions', 'dependent', 'on', 'the', 'geometry', 'of', 'the', 'field', 'space', 'and', 'the', 'inflationary', 'dynamics', 'which', 'can', 'be', 'probed', 'observationally', 'from', 'this', 'relation', 'the', 'running', 'of', 'the', 'tensortoscalar', 'ratio', 'may', 'be', 'detected', 'by', 'direct', 'laser', 'interferometer', 'experiments']] | [-0.13886956226197072, 0.15128744039684533, -0.12408111898694188, 0.1106585668560001, -0.09510393707314506, -0.13903034759568983, -0.0005915036934311501, 0.3340135260950774, -0.23773283897608052, -0.35062711792998014, 0.07073395679763053, -0.1884458718355745, -0.13359088998986407, 0.21228532317327337, -0.006543209112714976, 0.01865779855288565, 0.04463477126409998, -0.00845794186461717, -0.063927846722072, -0.2417170009808615, 0.30527312196791173, 0.08956951053987723, 0.2447460861876607, 0.030461426568217577, 0.01571704978123307, -0.06274219089536928, 0.00018198922334704547, 0.06269276748478206, -0.17704070470645092, 0.06326176862348802, 0.21312579680147792, 0.1434693658113247, 0.15347125860862434, -0.40524797041434796, -0.20483256840961986, 0.10306176487938501, 0.14269185447483324, 0.11739534973312402, 0.008425132765842136, -0.305876214907039, 0.023771791883336845, -0.16330801553558558, -0.06395752580137923, -0.09562330773915165, -0.018717961842776278, -0.020696902531926752, -0.30054851773020347, 0.0881581049907254, -0.042036916839424524, -0.004287228058092296, 0.0032020394981373103, -0.05693919255718356, 0.01336420476436615, 0.0860807353798009, 0.058160412110737525, 0.03480329404119402, 0.11776040777913295, -0.12224039960710797, -0.1009733683662489, 0.39662936539389193, -0.18487554646126228, -0.17147740040672943, 0.10407688637496904, -0.17703147161519156, -0.14502742550102993, 0.0567545622587204, 0.1449833068647422, 0.13292960509752447, -0.11651511009549723, 0.1494255306541163, 0.009653492813231423, 0.19468147959560156, 0.09398426124535035, 0.022642437413014704, 0.2925288803991862, 0.10736330804647878, 0.046396320410713086, 0.141317185069056, -0.06779930323536973, -0.04995712660020217, -0.3504445228492841, -0.08925937322492246, -0.16029451973736286, 0.07168704109499231, -0.1829852706674501, -0.10484442145680077, 0.40879494774271735, 0.16224940362299095, 0.20290826105338056, 0.08301691922970349, 0.31263349485816433, 0.207147665618686, 0.055522011149150785, 0.017603497934760525, 0.38386637379880995, 0.11208881913335063, 0.08642802182293963, -0.19717362148221582, 0.06475010518333875, 0.0459954913763795] |
710.3836 | Noncommutative real scalar field theory in 2+1 dimensions at finite
temperature | We study thermal effects for a noncommutative real scalar field in 2+1
dimensions including a Grosse-Wulkenhaar term. Using a perturbative expansion
for the free energy, we deduce some general properties of the corresponding
contributions, in the thermodynamic limit. We show that the model can be
consistently interpreted as defined on a finite volume, which is naturally
determined by the noncommutativity scale.
| hep-th | we study thermal effects for a noncommutative real scalar field in 21 dimensions including a grossewulkenhaar term using a perturbative expansion for the free energy we deduce some general properties of the corresponding contributions in the thermodynamic limit we show that the model can be consistently interpreted as defined on a finite volume which is naturally determined by the noncommutativity scale | [['we', 'study', 'thermal', 'effects', 'for', 'a', 'noncommutative', 'real', 'scalar', 'field', 'in', '21', 'dimensions', 'including', 'a', 'grossewulkenhaar', 'term', 'using', 'a', 'perturbative', 'expansion', 'for', 'the', 'free', 'energy', 'we', 'deduce', 'some', 'general', 'properties', 'of', 'the', 'corresponding', 'contributions', 'in', 'the', 'thermodynamic', 'limit', 'we', 'show', 'that', 'the', 'model', 'can', 'be', 'consistently', 'interpreted', 'as', 'defined', 'on', 'a', 'finite', 'volume', 'which', 'is', 'naturally', 'determined', 'by', 'the', 'noncommutativity', 'scale']] | [-0.11300879490912938, 0.16141921386421376, -0.10042249629670968, 0.12434266342163147, -0.0340542852130459, -0.04023133105689996, -0.00664900539473432, 0.27445478449178645, -0.2657533398539316, -0.25972911442217766, 0.10853181819462018, -0.23292021996906545, -0.13879474380710086, 0.19325774390113037, -0.028366514504505475, -0.009288931448684364, -0.009299565236404782, 0.08047792856718917, -0.08925983892585777, -0.20904914268529134, 0.35240003440651246, 0.013358513381881792, 0.22192571987779658, 0.11015922215874077, 0.1173424413885738, -0.003912634712445443, -0.01827126144446799, 0.1308385402681764, -0.15262475540753184, 0.06881702500090126, 0.18441250350433172, 0.029199044502599806, 0.19010349321866132, -0.37080467837389375, -0.27795625372682925, 0.0900192270208089, 0.13473104734401234, 0.11310421056915686, -0.01437304283112486, -0.260331834406882, 0.05409899795214172, -0.21289439398612156, -0.16369362886170627, -0.12267402931284464, -0.02488514625841416, -0.027972467781853725, -0.29441775088427496, 0.09710076414659376, 0.02243926663898298, 0.04531653178092398, -0.0825433530921086, -0.08412379301038617, -0.004187055603891122, 0.09357454762870415, 0.04902877664140075, 0.004198762370639893, 0.1252616916890027, -0.1161619914604015, -0.12828899161378685, 0.41145906756158734, -0.15595017811741496, -0.24229563016694453, 0.11839394509548047, -0.15732494293574673, -0.1424952130612047, 0.07866073478410235, 0.1414713895436926, 0.13727335731134382, -0.14040823530436294, 0.20575049076778967, -0.03125438245288173, 0.13935906743844512, 0.07130055411978335, 0.04098468987351345, 0.20009552015632878, 0.09709508497206891, -0.008548493100116487, 0.1716951009040683, -0.041172192321296354, -0.14326644459830934, -0.394745993473735, -0.15331485146107, -0.17539064453334594, 0.11947567771631674, -0.1539000894599518, -0.1844135252453509, 0.38794778116413803, 0.14466957950231726, 0.22379218475496182, 0.0444284817070288, 0.2545237561962644, 0.178851883925238, 0.0865278659678507, 0.04474815713302767, 0.24531054284020906, 0.12483401180886221, 0.06752280859643074, -0.2208951984104685, -0.05137243589813836, 0.11620084060447626] |
710.3837 | Potential for regulatory genetic networks of gene expression near a
stable point | A description for regulatory genetic network based on generalized potential
energy is constructed. The potential energy is derived from the steady state
solution of linearized Fokker-Plank equation, and the result is shown to be
equivalent to the system of coupled oscillators. The correspondence between the
quantities from the mechanical picture and the steady-state fluctuations is
established. Explicit calculation is given for auto-regulatory networks in
which, the force constant associated with the degree of protein is very weak.
Negative feedback not only suppresses the fluctuations but also increases the
steepness of the potential. The results for the fluctuations agree completely
with those obtained from linear noise Fokker-Planck equation.
| physics.bio-ph q-bio.MN | a description for regulatory genetic network based on generalized potential energy is constructed the potential energy is derived from the steady state solution of linearized fokkerplank equation and the result is shown to be equivalent to the system of coupled oscillators the correspondence between the quantities from the mechanical picture and the steadystate fluctuations is established explicit calculation is given for autoregulatory networks in which the force constant associated with the degree of protein is very weak negative feedback not only suppresses the fluctuations but also increases the steepness of the potential the results for the fluctuations agree completely with those obtained from linear noise fokkerplanck equation | [['a', 'description', 'for', 'regulatory', 'genetic', 'network', 'based', 'on', 'generalized', 'potential', 'energy', 'is', 'constructed', 'the', 'potential', 'energy', 'is', 'derived', 'from', 'the', 'steady', 'state', 'solution', 'of', 'linearized', 'fokkerplank', 'equation', 'and', 'the', 'result', 'is', 'shown', 'to', 'be', 'equivalent', 'to', 'the', 'system', 'of', 'coupled', 'oscillators', 'the', 'correspondence', 'between', 'the', 'quantities', 'from', 'the', 'mechanical', 'picture', 'and', 'the', 'steadystate', 'fluctuations', 'is', 'established', 'explicit', 'calculation', 'is', 'given', 'for', 'autoregulatory', 'networks', 'in', 'which', 'the', 'force', 'constant', 'associated', 'with', 'the', 'degree', 'of', 'protein', 'is', 'very', 'weak', 'negative', 'feedback', 'not', 'only', 'suppresses', 'the', 'fluctuations', 'but', 'also', 'increases', 'the', 'steepness', 'of', 'the', 'potential', 'the', 'results', 'for', 'the', 'fluctuations', 'agree', 'completely', 'with', 'those', 'obtained', 'from', 'linear', 'noise', 'fokkerplanck', 'equation']] | [-0.13244704247743902, 0.10068012538548803, -0.07442257340962642, 0.07088636503572289, -0.03125025017326263, -0.15489943192784336, 0.001380345096515718, 0.29282142981782416, -0.29311535981370607, -0.26015587420437797, 0.048569006674540026, -0.295707415750198, -0.16854852989150612, 0.200195449656833, -0.002152787440969983, 0.028084312744055675, 0.07043445696096833, 0.07482377005845448, -0.022117586816208453, -0.1725242524255485, 0.3395635474159896, 0.09923345878802971, 0.2960669742897153, 0.05492323545073203, 0.1414875616928754, -0.05558400880327779, -0.004080148403985408, 0.046299277691640585, -0.14184157376500742, 0.080756805558628, 0.1946349214788561, 0.06898357298782218, 0.2365063962256797, -0.410284912927407, -0.2278164336370809, 0.11069527453368652, 0.10210916461318592, 0.1747428747361839, -0.02412675752056432, -0.2701327237648733, 0.05074491655175513, -0.1386621261449916, -0.1680061504175173, -0.06907169016896286, 0.0114693470629994, 0.08927601265958546, -0.27904825137545153, 0.1588123920457938, 0.03659232513691847, 0.005922784970063611, -0.13003961652926405, -0.10063998250913084, -0.08987180416028355, 0.12881798971287697, 0.035060902002102164, 0.0445787081904013, 0.13248276039435763, -0.1556276212681398, -0.044696952564485165, 0.3445803749279302, -0.08874856270458027, -0.2397451287431416, 0.16556325366842412, -0.11363540315635015, -0.06596219614849896, 0.1639473177405579, 0.1003834775313909, 0.06329263677977234, -0.1838956556204602, 0.08820558377110756, 0.01650050960080785, 0.18650945067997568, 0.043226189295561095, 0.012609560186234868, 0.14639121288799237, 0.1376623527286139, 0.06220090354871109, 0.13014498879702188, -0.01614933836798262, -0.1687277203086311, -0.2943484580283549, -0.08446679486257729, -0.2097625762319941, 0.08364755194865398, -0.09858661742470767, -0.16841552602034715, 0.38447129280767706, 0.09682166961100057, 0.16303224660560628, 0.0788834668297721, 0.26185561861912504, 0.20113792475835185, 0.04681534315111272, 0.055728353829793284, 0.2757151202585931, 0.19741772603304517, 0.11436667065701892, -0.28072562319864125, 0.0768291401441827, 0.0786985548944256] |
710.3838 | Momentum and excitation energy dependence of the "waterfalls" in
cuprates | Using high-resolution angle-resolved photoemission spectroscopy we have
studied the momentum and photon energy dependence of the anomalous high-energy
dispersion, termed "waterfalls", between the Fermi level and 1 eV binding
energy in several high-Tc superconductors. We observe strong changes of the
dispersion between different Brillouin zones and a strong dependence on the
photon energy around 75 eV, which we associate with the resonant photoemission
at the Cu 3p3d_{x^2-y^2} edge. We conclude that the high-energy "waterfall"
dispersion results from a strong suppression of the photoemission intensity at
the center of the Brillouin zone due to matrix element effects and is,
therefore, not an intrinsic feature of the spectral function. This indicates
that the new high energy scale in the electronic structure of cuprates derived
from the "waterfall"-like dispersion may be incorrect.
| cond-mat.supr-con cond-mat.str-el | using highresolution angleresolved photoemission spectroscopy we have studied the momentum and photon energy dependence of the anomalous highenergy dispersion termed waterfalls between the fermi level and 1 ev binding energy in several hightc superconductors we observe strong changes of the dispersion between different brillouin zones and a strong dependence on the photon energy around 75 ev which we associate with the resonant photoemission at the cu 3p3d_x2y2 edge we conclude that the highenergy waterfall dispersion results from a strong suppression of the photoemission intensity at the center of the brillouin zone due to matrix element effects and is therefore not an intrinsic feature of the spectral function this indicates that the new high energy scale in the electronic structure of cuprates derived from the waterfalllike dispersion may be incorrect | [['using', 'highresolution', 'angleresolved', 'photoemission', 'spectroscopy', 'we', 'have', 'studied', 'the', 'momentum', 'and', 'photon', 'energy', 'dependence', 'of', 'the', 'anomalous', 'highenergy', 'dispersion', 'termed', 'waterfalls', 'between', 'the', 'fermi', 'level', 'and', '1', 'ev', 'binding', 'energy', 'in', 'several', 'hightc', 'superconductors', 'we', 'observe', 'strong', 'changes', 'of', 'the', 'dispersion', 'between', 'different', 'brillouin', 'zones', 'and', 'a', 'strong', 'dependence', 'on', 'the', 'photon', 'energy', 'around', '75', 'ev', 'which', 'we', 'associate', 'with', 'the', 'resonant', 'photoemission', 'at', 'the', 'cu', '3p3d_x2y2', 'edge', 'we', 'conclude', 'that', 'the', 'highenergy', 'waterfall', 'dispersion', 'results', 'from', 'a', 'strong', 'suppression', 'of', 'the', 'photoemission', 'intensity', 'at', 'the', 'center', 'of', 'the', 'brillouin', 'zone', 'due', 'to', 'matrix', 'element', 'effects', 'and', 'is', 'therefore', 'not', 'an', 'intrinsic', 'feature', 'of', 'the', 'spectral', 'function', 'this', 'indicates', 'that', 'the', 'new', 'high', 'energy', 'scale', 'in', 'the', 'electronic', 'structure', 'of', 'cuprates', 'derived', 'from', 'the', 'waterfalllike', 'dispersion', 'may', 'be', 'incorrect']] | [-0.11830576736974763, 0.1710565167460345, -0.09823929690901423, 0.09937220468418673, -0.04864197064307518, -0.07609495610631711, 0.11083920257442514, 0.40899148400785634, -0.28788733936380595, -0.3253008806177604, -0.05034145490753872, -0.36549706051300745, -0.08178385351584438, 0.1820795618914417, 0.042197678614684264, 0.01966417064977577, -0.001648202793148812, -0.057211226023355266, -0.11052282733726315, -0.11484569563981495, 0.3493954271252733, 0.12172500366978056, 0.3184924835222773, 0.16039255134091945, 0.06872771381313214, 0.018046458171738777, 0.04968262753391173, -0.014368912627105601, -0.12695827025584094, 0.09262691558393499, 0.2559161715744267, -0.0811466664326872, 0.2277771352983109, -0.39545797412574757, -0.22895979924760468, 0.011820775573141873, 0.12173315216205083, 0.08963628126457479, -0.07213882459927845, -0.24969732578210824, 0.05455690935195889, -0.14597604595473967, -0.12902788485916972, -0.03418178923493542, -0.03745400544721633, -0.009528262398816878, -0.1909147342162214, 0.1165907330596383, -0.01921463441249216, 0.08670811008778401, -0.10575854461967538, -0.09760452561022248, -0.10522995322389761, 0.0368007673532702, 0.06922691763429611, 0.0035276467581297766, 0.1086860705363506, -0.0957647732930127, -0.07520587591716321, 0.3525970269956815, -0.07990591322595719, -0.05691610340727493, 0.14972777667026094, -0.2430666068539722, -0.10610383408129564, 0.19116526446305215, 0.117401000308746, 0.0771506122291612, -0.08866166711641199, 0.0785317439949722, -0.020842760664891102, 0.20440473347116495, 0.08065985736902803, 0.13143185978697147, 0.24312586347514298, 0.14489881271947525, 0.019790153712165193, 0.05238087380803336, -0.22713014487999317, 0.02360725439939415, -0.2612928775142791, -0.13070905054701143, -0.2055365233318298, 0.040099810592550966, -0.06663574606727707, -0.15402591168822255, 0.41595378921556403, 0.1308972237393391, 0.24954530474497005, -0.060682638219986984, 0.25851647881790996, 0.17517928825782292, 0.08552204643638106, 0.08159374534079689, 0.30176485431729816, 0.10677370481607795, 0.11225814622957841, -0.33116848984354874, 0.03489587408512307, -0.009686061854154104] |
710.3839 | Dissipative dynamics of the semiconductor-cavity QED with q-deformed
bosons in the dispersive approximation | In this paper we give fully analytical description of the dynamics of a
collection of $N$-Frenkel excitons in high density regime dispersively coupled
to a single mode cavity field, in the presence of both exciton and cavity-field
dissipations. By using excitonic operators as q-deformed bosonic operators for
the system, we solve analytically the Liouville equation for the density
operator at zero temperature and investigate the influence of the number of
excitons and the effect of both dissipations on dynamical behavior of the
system. We use the solution of master equation to explore the dissipative
dynamics of non-classical properties such as, molecule-field entanglement,
quadrature squeezing of the field, and molecular dipole squeezing. We find that
the non-classical properties are strongly affected by the number of excitons
and also by the existence of both dissipations.
| quant-ph | in this paper we give fully analytical description of the dynamics of a collection of nfrenkel excitons in high density regime dispersively coupled to a single mode cavity field in the presence of both exciton and cavityfield dissipations by using excitonic operators as qdeformed bosonic operators for the system we solve analytically the liouville equation for the density operator at zero temperature and investigate the influence of the number of excitons and the effect of both dissipations on dynamical behavior of the system we use the solution of master equation to explore the dissipative dynamics of nonclassical properties such as moleculefield entanglement quadrature squeezing of the field and molecular dipole squeezing we find that the nonclassical properties are strongly affected by the number of excitons and also by the existence of both dissipations | [['in', 'this', 'paper', 'we', 'give', 'fully', 'analytical', 'description', 'of', 'the', 'dynamics', 'of', 'a', 'collection', 'of', 'nfrenkel', 'excitons', 'in', 'high', 'density', 'regime', 'dispersively', 'coupled', 'to', 'a', 'single', 'mode', 'cavity', 'field', 'in', 'the', 'presence', 'of', 'both', 'exciton', 'and', 'cavityfield', 'dissipations', 'by', 'using', 'excitonic', 'operators', 'as', 'qdeformed', 'bosonic', 'operators', 'for', 'the', 'system', 'we', 'solve', 'analytically', 'the', 'liouville', 'equation', 'for', 'the', 'density', 'operator', 'at', 'zero', 'temperature', 'and', 'investigate', 'the', 'influence', 'of', 'the', 'number', 'of', 'excitons', 'and', 'the', 'effect', 'of', 'both', 'dissipations', 'on', 'dynamical', 'behavior', 'of', 'the', 'system', 'we', 'use', 'the', 'solution', 'of', 'master', 'equation', 'to', 'explore', 'the', 'dissipative', 'dynamics', 'of', 'nonclassical', 'properties', 'such', 'as', 'moleculefield', 'entanglement', 'quadrature', 'squeezing', 'of', 'the', 'field', 'and', 'molecular', 'dipole', 'squeezing', 'we', 'find', 'that', 'the', 'nonclassical', 'properties', 'are', 'strongly', 'affected', 'by', 'the', 'number', 'of', 'excitons', 'and', 'also', 'by', 'the', 'existence', 'of', 'both', 'dissipations']] | [-0.1684723297437427, 0.17299382124364263, -0.0571991372659492, 0.022819893994672, -0.0004234249865862005, -0.10570565809823827, 0.03340175511248438, 0.3117570730532999, -0.25152583168043446, -0.2684107268666566, 0.033127400598128916, -0.2828498985080373, -0.13274344488639722, 0.18780804405722654, 0.03901525413631603, 0.06342551953187495, 0.024579948124786217, 0.019502774784059235, -0.019372800229272496, -0.18666438319522774, 0.36910095686713856, 0.0019462326149964197, 0.27609422181337845, 0.07510528233692501, 0.10416928556338517, 0.0020742045087514052, 0.06856656439821095, -0.00115431413393129, -0.13858149336699693, 0.09338830980105382, 0.18440621121694814, 0.027978870407395967, 0.26624168679259264, -0.45074966617605905, -0.20408381508649187, 0.07817729808404252, 0.17603517941791902, 0.157436086556338, -0.026557976913560804, -0.29982146759743267, -0.015848178884797646, -0.1598008906496971, -0.1609581111521093, -0.11807521954214087, -5.116890657298041e-05, 0.07013316244984073, -0.23006186640828452, 0.14214544338116838, 0.04177827688148351, 0.04395284658918778, -0.08013050325539414, -0.025509778307671448, -0.03985324136164942, 0.07439475917172703, -0.002490129237947148, -0.05566393982647269, 0.15012971900234168, -0.210235572965096, -0.093023562595728, 0.35183417144457274, -0.13840994366998502, -0.21692888769603363, 0.1585571212036126, -0.1747275165627908, -0.04766281151960632, 0.12190547524104742, 0.15928354739409054, 0.11758232595765906, -0.1355880034918135, 0.07925008280003429, -0.01587010857430428, 0.15879763534405467, 0.05237263238902387, 0.15968277118129967, 0.21051891970758638, 0.12344958728786107, 0.03045738739522428, 0.2007831587935939, -0.06704234187032632, -0.13158124217156772, -0.3115391966491712, -0.17057321536016057, -0.2032455536755151, 0.07375009455294772, -0.06497883459737888, -0.167874057226899, 0.4394001380441654, 0.16227836646562951, 0.14697344630787318, 0.018627055744273646, 0.26104250198907475, 0.21046811146626362, 0.012019141371252552, 0.037110029977294755, 0.2712143476502123, 0.22127960185929568, 0.09355479398050881, -0.37730765991639625, -0.0344670076720473, 0.04961188354663494] |
710.384 | Challenge on Ca-48 enrichment for CANDLES double beta decay experiment | Chemical isotope effects of calcium were studied by liquid-liquid extraction
using a crown ether of dicyclohexano-18-crown-6 for the purpose of finding a
cost-effective and efficient way of enrichment of Ca-48 towards the study of
the neutrinoless double beta decay of Ca-48. We evaluated each contribution
ratio of the field shift effect and the hyperfine splitting shift effect to the
mass effect of the calcium isotopes for the first time. The present preliminary
result suggests the contribution of the field shift effect is small, especially
for Ca-40-Ca-48 case, compared with the case of Chromium trichloride-crown in
which the isotope enrichment factors are strongly affected by the field shifts.
These indications are promising towards the mass producion of enriched Ca-48 by
the chemical separation method.
| nucl-ex | chemical isotope effects of calcium were studied by liquidliquid extraction using a crown ether of dicyclohexano18crown6 for the purpose of finding a costeffective and efficient way of enrichment of ca48 towards the study of the neutrinoless double beta decay of ca48 we evaluated each contribution ratio of the field shift effect and the hyperfine splitting shift effect to the mass effect of the calcium isotopes for the first time the present preliminary result suggests the contribution of the field shift effect is small especially for ca40ca48 case compared with the case of chromium trichloridecrown in which the isotope enrichment factors are strongly affected by the field shifts these indications are promising towards the mass producion of enriched ca48 by the chemical separation method | [['chemical', 'isotope', 'effects', 'of', 'calcium', 'were', 'studied', 'by', 'liquidliquid', 'extraction', 'using', 'a', 'crown', 'ether', 'of', 'dicyclohexano18crown6', 'for', 'the', 'purpose', 'of', 'finding', 'a', 'costeffective', 'and', 'efficient', 'way', 'of', 'enrichment', 'of', 'ca48', 'towards', 'the', 'study', 'of', 'the', 'neutrinoless', 'double', 'beta', 'decay', 'of', 'ca48', 'we', 'evaluated', 'each', 'contribution', 'ratio', 'of', 'the', 'field', 'shift', 'effect', 'and', 'the', 'hyperfine', 'splitting', 'shift', 'effect', 'to', 'the', 'mass', 'effect', 'of', 'the', 'calcium', 'isotopes', 'for', 'the', 'first', 'time', 'the', 'present', 'preliminary', 'result', 'suggests', 'the', 'contribution', 'of', 'the', 'field', 'shift', 'effect', 'is', 'small', 'especially', 'for', 'ca40ca48', 'case', 'compared', 'with', 'the', 'case', 'of', 'chromium', 'trichloridecrown', 'in', 'which', 'the', 'isotope', 'enrichment', 'factors', 'are', 'strongly', 'affected', 'by', 'the', 'field', 'shifts', 'these', 'indications', 'are', 'promising', 'towards', 'the', 'mass', 'producion', 'of', 'enriched', 'ca48', 'by', 'the', 'chemical', 'separation', 'method']] | [-0.0781509392739584, 0.18662738790153527, -0.02547328672371805, 0.03749048546839428, 0.001518067013239488, -0.0781428046990186, 0.08203673982255472, 0.3605745844232539, -0.21600585452979432, -0.2905956177972257, 0.0183296720701037, -0.2621491583064198, -0.08573825028336918, 0.17928440077230334, 0.042108580719498905, -0.024504613736644386, 0.045646417261256525, 0.025502078402011345, -0.06714541304002826, -0.1785220636969219, 0.3520223278241853, 0.11424451985706886, 0.26595654053768764, 0.0956625537481159, 0.011000245879404246, -0.06948660068834821, -0.05300729711695264, 0.0005052820624162753, -0.10539390802150592, 0.10685194665566086, 0.1969138693898761, 0.058789817771563925, 0.20738793258788063, -0.3480475970699141, -0.17532978635281324, 0.08837503550651794, 0.14126439179138592, 0.14181359361682552, -0.17991166543215514, -0.27812464960152283, 0.038588058591509856, -0.16411305132399623, -0.13840023234588444, -0.018259067623876035, 0.052086826436182794, 0.030476298864232376, -0.27833162146465235, 0.10577173973433673, 0.02558162387770911, 0.07099803902359175, -0.07360668246789524, -0.22937110737354185, 0.0166833954048343, 0.13534053224138914, 0.07595373520161956, 0.013897051858172442, 0.1977007896406576, -0.09057734042677718, -0.04755420624666537, 0.4040677257968734, -0.1269983613785977, -0.0855036746012047, 0.10818747764763732, -0.16410071929324963, -0.15613272584741936, 0.17893257120934625, 0.11569752969468633, 0.14958826352376492, -0.14234329846610005, 0.026618391396671843, 0.04009163421966756, 0.1678771638777107, 0.06237844231072813, 0.03235036610470464, 0.20928809645120056, 0.23730257137989005, 0.008379453343028824, 0.12023092354647816, -0.14311549530054132, -0.05557229828943188, -0.24594364060515847, -0.19539978133204083, -0.07287440583168063, 0.014534589943165581, -0.05714257948153924, -0.1625234011563104, 0.35787977871950716, 0.09696968277761092, 0.17737816088677694, -0.02552257182445222, 0.27644517766311766, 0.08809638108650689, 0.09324593214987545, -0.03553464532596991, 0.30036670559396345, 0.19302099829073996, 0.10450901103710446, -0.35235405414714477, 0.1295300008961931, 0.05455805022502318] |
710.3841 | Gravitational and Inertial Mass of Casimir Energy | It has been demonstrated, using variational methods, that quantum vacuum
energy gravitates according to the equivalence principle, at least for the
finite Casimir energies associated with perfectly conducting parallel plates.
This conclusion holds independently of the orientation of the plates. We review
these arguments and add further support to this conclusion by considering
parallel semitransparent plates, that is, $\delta$-function potentials, acting
on a massless scalar field, in a spacetime defined by Rindler coordinates. We
calculate the force on systems consisting of one or two such plates undergoing
acceleration perpendicular to the plates. In the limit of small acceleration we
recover (via the equivalence principle) the situation of weak gravity, and find
that the gravitational force on the system is just $M\mathbf{g}$, where
$\mathbf{g}$ is the gravitational acceleration and $M$ is the total mass of the
system, consisting of the mass of the plates renormalized by the Casimir energy
of each plate separately, plus the energy of the Casimir interaction between
the plates. This reproduces the previous result in the limit as the coupling to
the $\delta$-function potential approaches infinity. Extension of this latter
work to arbitrary orientation of the plates, and to general compact quantum
vacuum energy configurations, is under development.
| hep-th gr-qc quant-ph | it has been demonstrated using variational methods that quantum vacuum energy gravitates according to the equivalence principle at least for the finite casimir energies associated with perfectly conducting parallel plates this conclusion holds independently of the orientation of the plates we review these arguments and add further support to this conclusion by considering parallel semitransparent plates that is deltafunction potentials acting on a massless scalar field in a spacetime defined by rindler coordinates we calculate the force on systems consisting of one or two such plates undergoing acceleration perpendicular to the plates in the limit of small acceleration we recover via the equivalence principle the situation of weak gravity and find that the gravitational force on the system is just mmathbfg where mathbfg is the gravitational acceleration and m is the total mass of the system consisting of the mass of the plates renormalized by the casimir energy of each plate separately plus the energy of the casimir interaction between the plates this reproduces the previous result in the limit as the coupling to the deltafunction potential approaches infinity extension of this latter work to arbitrary orientation of the plates and to general compact quantum vacuum energy configurations is under development | [['it', 'has', 'been', 'demonstrated', 'using', 'variational', 'methods', 'that', 'quantum', 'vacuum', 'energy', 'gravitates', 'according', 'to', 'the', 'equivalence', 'principle', 'at', 'least', 'for', 'the', 'finite', 'casimir', 'energies', 'associated', 'with', 'perfectly', 'conducting', 'parallel', 'plates', 'this', 'conclusion', 'holds', 'independently', 'of', 'the', 'orientation', 'of', 'the', 'plates', 'we', 'review', 'these', 'arguments', 'and', 'add', 'further', 'support', 'to', 'this', 'conclusion', 'by', 'considering', 'parallel', 'semitransparent', 'plates', 'that', 'is', 'deltafunction', 'potentials', 'acting', 'on', 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'coupling', 'to', 'the', 'deltafunction', 'potential', 'approaches', 'infinity', 'extension', 'of', 'this', 'latter', 'work', 'to', 'arbitrary', 'orientation', 'of', 'the', 'plates', 'and', 'to', 'general', 'compact', 'quantum', 'vacuum', 'energy', 'configurations', 'is', 'under', 'development']] | [-0.1745951771660475, 0.15202662790194155, -0.08659775874926709, 0.0233990891079884, -0.04436220112955198, -0.12657180279027672, -0.008751371875405312, 0.3468842156045139, -0.21435795770958066, -0.28717678526882084, 0.033362371465773324, -0.2594314557593316, -0.07002434456138872, 0.18148562845075503, -0.013306528214598075, 0.01868618223583326, 0.0444290953699965, 0.05709700212813914, -0.05717277727904729, -0.20489614767953754, 0.3801587561680935, 0.050038843968650326, 0.2904783480241895, 0.0574519331738702, 0.12797631305787946, 0.0443898071651347, 0.0322821184550412, 0.057836498886717894, -0.12464402661364148, 0.07969903601246188, 0.16767788934201236, 0.0026362638233695178, 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710.3842 | Global Existence Theorem for the Solutions of 3d Navier-Stokes System on
T3 for small initial data from the space P(a) | We consider 3d Navier-Stokes system with periodic boundary conditions for
small initial data from the space of Pseudomeasures. We provide asymptotic
behavior for the coefficients in the perturbation series for the solution of
this system.
| math.AP math-ph math.MP | we consider 3d navierstokes system with periodic boundary conditions for small initial data from the space of pseudomeasures we provide asymptotic behavior for the coefficients in the perturbation series for the solution of this system | [['we', 'consider', '3d', 'navierstokes', 'system', 'with', 'periodic', 'boundary', 'conditions', 'for', 'small', 'initial', 'data', 'from', 'the', 'space', 'of', 'pseudomeasures', 'we', 'provide', 'asymptotic', 'behavior', 'for', 'the', 'coefficients', 'in', 'the', 'perturbation', 'series', 'for', 'the', 'solution', 'of', 'this', 'system']] | [-0.19930309200925486, 0.01897714664893491, -0.10399883165955544, 0.012708502033326243, -0.01385624909640423, -0.08293258954903909, -0.012657177641189524, 0.292480389082006, -0.2776902083839689, -0.2323137794754335, 0.20334019276113915, -0.2687332872567432, -0.12123603959168706, 0.19505503113780703, -0.055315743812492914, 0.16002738544983522, 0.13248244051688485, 0.030349878468717048, -0.07530233907912459, -0.20544892151041755, 0.43417275861970017, -0.04493374771305493, 0.23376542766179356, -0.05430578355278288, 0.10267772805278323, 0.00231705153627055, 0.03825772708015782, -0.003282529901480302, -0.20183460137673787, 0.07071360361629299, 0.19815037564507554, 0.06727610496538027, 0.2294834591448307, -0.47824913305895667, -0.20800695664116314, 0.04445219548153026, 0.10997045876325241, 0.14057787257645812, -0.03153336771896907, -0.2929332086018154, 0.10948944568767079, -0.13760678789445333, -0.21124474672334534, -0.10370618549308606, 0.03955264309687274, 0.04785177478167627, -0.37181014141866137, 0.10677813948797328, 0.015647523005359938, 0.09578671476670673, -0.19838605304913862, -0.050993514865902916, 0.034546207716422424, 0.16852179180298532, 0.06466713577974588, -0.054525719370160784, 0.011327630155054585, -0.14053343084108616, 0.01756245108055217, 0.3728541240096092, -0.1277121774985322, -0.28740079275199343, 0.16584044130785125, -0.21843703274748155, -0.13023088543808886, 0.1294980673385518, 0.20459963280175414, 0.127579159169857, -0.13736600101526295, 0.11799958430762802, -0.04512690502285425, 0.12187158954995019, 0.041572009585797785, 0.0021132741389530045, 0.13896849216627224, 0.16876531499437988, 0.11962000341819866, 0.18782337864062615, -0.052174985096124664, -0.07820663140820605, -0.35896643943020273, -0.1706075081601739, -0.17452121829347952, 0.03191402591764927, -0.1444425381720066, -0.23260955669518027, 0.3761784475695874, 0.17684322571648017, 0.2074139050074986, 0.07377332283982209, 0.2264988415874541, 0.16083601883479526, -0.043998337749923976, 0.07221348509192467, 0.18421150579649423, 0.05509506279070463, 0.1849557960672038, -0.23712974724891994, -0.0005277889115469797, 0.15606778623270137] |
710.3843 | H and A Discrimination using Linear Polarization of Photons at the PLC | First realistic estimate of the usefulness of the Photon Linear Collider with
linearly polarized photons as analyzer of the CP-parity of Higgs bosons is
presented. MSSM Higgs bosons H and A with 300 GeV mass, for the model
parameters corresponding to the so called "LHC wedge" region, are considered.
When switching from circular to linear photon polarization a significant
increase in heavy quark production background, which is no longer suppressed by
helicity conservation, and decrease of the Higgs boson production cross
sections by a factor of two is expected. Nevertheless, after three years of
Photon Linear Collider running heavy scalar and pseudoscalar Higgs bosons in
MSSM can be distinguished at a 4.5 sigma level.
| hep-ph | first realistic estimate of the usefulness of the photon linear collider with linearly polarized photons as analyzer of the cpparity of higgs bosons is presented mssm higgs bosons h and a with 300 gev mass for the model parameters corresponding to the so called lhc wedge region are considered when switching from circular to linear photon polarization a significant increase in heavy quark production background which is no longer suppressed by helicity conservation and decrease of the higgs boson production cross sections by a factor of two is expected nevertheless after three years of photon linear collider running heavy scalar and pseudoscalar higgs bosons in mssm can be distinguished at a 45 sigma level | [['first', 'realistic', 'estimate', 'of', 'the', 'usefulness', 'of', 'the', 'photon', 'linear', 'collider', 'with', 'linearly', 'polarized', 'photons', 'as', 'analyzer', 'of', 'the', 'cpparity', 'of', 'higgs', 'bosons', 'is', 'presented', 'mssm', 'higgs', 'bosons', 'h', 'and', 'a', 'with', '300', 'gev', 'mass', 'for', 'the', 'model', 'parameters', 'corresponding', 'to', 'the', 'so', 'called', 'lhc', 'wedge', 'region', 'are', 'considered', 'when', 'switching', 'from', 'circular', 'to', 'linear', 'photon', 'polarization', 'a', 'significant', 'increase', 'in', 'heavy', 'quark', 'production', 'background', 'which', 'is', 'no', 'longer', 'suppressed', 'by', 'helicity', 'conservation', 'and', 'decrease', 'of', 'the', 'higgs', 'boson', 'production', 'cross', 'sections', 'by', 'a', 'factor', 'of', 'two', 'is', 'expected', 'nevertheless', 'after', 'three', 'years', 'of', 'photon', 'linear', 'collider', 'running', 'heavy', 'scalar', 'and', 'pseudoscalar', 'higgs', 'bosons', 'in', 'mssm', 'can', 'be', 'distinguished', 'at', 'a', '45', 'sigma', 'level']] | [-0.0634750296594575, 0.3238925962788543, -0.024857141449230544, 0.12310233680233196, -0.060794120221480466, -0.2103042121151495, 0.00797393910276393, 0.33687986690028193, -0.19943935419187733, -0.28197935277906555, -0.013198060255187253, -0.31061885629274083, 0.05773285086207468, 0.16384024040164882, 0.08574644255369142, 0.10581909631493322, 0.08380158287534294, 0.0028422365839217314, -0.0292535023355301, -0.2849763950921203, 0.2827939314220362, 0.05692734090782898, 0.19354576749008215, 0.10804714496541572, 0.11718095632335335, 0.05415314898965063, -0.029253463486511783, -0.06353746430862597, -0.05421137009142784, 0.07013076914294639, 0.2071674993775352, 0.043603905979564345, 0.139813534368091, -0.3020161087706424, -0.11993113550431046, 0.15966934352917106, 0.15389688141447933, 0.07792624601534683, -0.05113792038632949, -0.2866725584965918, 0.10502371960319579, -0.24352721376507952, -0.10285189161240532, -0.009849108597304541, -0.0013931127175231253, -0.10830303922851096, -0.3316469322736865, 0.0783397219482842, -0.07228416309022066, 0.05383517515943631, 0.03877711896539519, -0.15683545902567475, -0.14644864648008687, -0.07333384853406817, 0.1615280003395144, 0.04791247609133726, 0.21043280848677745, -0.2152162427705582, -0.1958190784391359, 0.3912761450924894, -0.1533662923570853, -0.16730829200854427, 0.12036252653495849, -0.19954199235673928, -0.1004989635109444, 0.20347334051570087, 0.24791224163205347, 0.06124574544414747, -0.15635811594524726, 0.17097002371436948, -0.03582109216796724, 0.19810050922413275, 0.08825040788781878, 0.0678161275317778, 0.2577741959279305, 0.18332207152056262, 0.045763954887852856, 0.08424505582712427, -0.08739062245085574, -0.06694192919479847, -0.4542305028686921, -0.14434806501754283, -0.06051985569821115, 0.05775625596084354, -0.07061689926105605, -0.07206884597575194, 0.39279803821588294, 0.05187316706583819, 0.2660684932734033, -0.01016560648139076, 0.3180408978287392, 0.15088708037939413, 0.08668390840032596, 0.05224562710301191, 0.3679479837393094, 0.1769586734416519, 0.12346084184715883, -0.19872340153118498, -0.029236112472094726, 0.026446703323081397] |
710.3844 | A new class of examples of group-valued moment maps | The purpose of this paper is to construct new examples of group-valued moment
maps. As the main tool for construction of such examples we use
quasi-symplectic implosion which was introduced in [HJS06]. More precisely we
show that there are certain strata of $D{\bf Sp}(n)_{\rm impl}$, the universal
imploded space, where it is singular but whose closure is a smooth
quasi-Hamiltonian ${\bf Sp}(n) \times T$ space.
| math.SG | the purpose of this paper is to construct new examples of groupvalued moment maps as the main tool for construction of such examples we use quasisymplectic implosion which was introduced in hjs06 more precisely we show that there are certain strata of dbf spn_rm impl the universal imploded space where it is singular but whose closure is a smooth quasihamiltonian bf spn times t space | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'construct', 'new', 'examples', 'of', 'groupvalued', 'moment', 'maps', 'as', 'the', 'main', 'tool', 'for', 'construction', 'of', 'such', 'examples', 'we', 'use', 'quasisymplectic', 'implosion', 'which', 'was', 'introduced', 'in', 'hjs06', 'more', 'precisely', 'we', 'show', 'that', 'there', 'are', 'certain', 'strata', 'of', 'dbf', 'spn_rm', 'impl', 'the', 'universal', 'imploded', 'space', 'where', 'it', 'is', 'singular', 'but', 'whose', 'closure', 'is', 'a', 'smooth', 'quasihamiltonian', 'bf', 'spn', 'times', 't', 'space']] | [-0.123145968595054, 0.11835949724510071, -0.06514407006362753, 0.07985856956727203, -0.0875305147215371, -0.10001389583903214, -0.04369560058224916, 0.353123449029461, -0.25523260650375196, -0.21272885239675582, 0.12409296232808922, -0.19150859403664305, -0.2440181085539441, 0.22845537822333076, -0.13961772405872902, 0.011949802951646908, 0.00639531530454875, 0.07918095182357056, -0.09513242752666795, -0.27516824611830676, 0.3946042096302394, -0.006519183877014344, 0.21493727185072437, -0.001697887133266176, 0.1501925829572663, -0.03997757261799228, -0.01665982977306891, 0.022392455956921162, -0.16825386442137497, 0.1202251991827882, 0.2672825775619957, 0.12770437272716192, 0.1973542594501088, -0.3407679773686874, -0.18219110680201406, 0.16862672328528377, 0.09543596538564851, 0.06754598117080488, 0.003185674483134907, -0.24815482374340778, 0.14287411540205922, -0.17080521392786213, -0.13558111146032328, -0.14826401075228088, 0.08086401063408102, 0.010772967230408423, -0.2938903819829706, -0.021538185819442713, 0.12854507989099911, 0.06321689282213488, -0.036084490816950074, -0.060308332585038676, -0.038185263353009376, 0.07871672725905815, 0.03975672242907627, 0.11870844080863942, 0.08388568749726419, -0.06227331213097299, -0.06513937018086924, 0.3747441708147826, -0.0305916384883946, -0.2223606379101834, 0.18043489131190243, -0.1278723907514265, -0.17704640334141591, 0.11415955071307478, 0.1082432419775174, 0.15458723223738133, -0.10201998569461848, 0.15457271240771778, -0.1066248231687613, 0.08346211736000353, 0.07355105801064882, -0.023498585605393012, 0.1044520789441923, 0.1600556144220454, 0.11094941941067396, 0.14965196877282352, -0.05480076062432941, -0.08474778770018489, -0.39119986991488165, -0.2031651431316277, -0.16201160271321574, 0.09901180633178522, -0.0399149598839182, -0.18878174519106264, 0.38629559669343216, 0.11297649613791896, 0.20001164329568705, 0.057819525908393364, 0.2446090975316756, 0.0989721992725296, 0.04633988971791921, 0.09205953874475052, 0.11871985418181266, 0.15170562289835465, 0.01740115009353406, -0.12024439109354129, -0.018521830139140927, 0.14828632775724174] |
710.3845 | Symmetry properties of Penrose type tilings | The Penrose tiling is directly related to the atomic structure of certain
decagonal quasicrystals and, despite its aperiodicity, is highly symmetric. It
is known that the numbers 1, $-\tau $, $(-\tau)^2$, $(-\tau)^3$, ..., where
$\tau =(1+\sqrt{5})/2$, are scaling factors of the Penrose tiling. We show that
the set of scaling factors is much larger, and for most of them the number of
the corresponding inflation centers is infinite.
| math-ph cond-mat.mtrl-sci math.MP | the penrose tiling is directly related to the atomic structure of certain decagonal quasicrystals and despite its aperiodicity is highly symmetric it is known that the numbers 1 tau tau2 tau3 where tau 1sqrt52 are scaling factors of the penrose tiling we show that the set of scaling factors is much larger and for most of them the number of the corresponding inflation centers is infinite | [['the', 'penrose', 'tiling', 'is', 'directly', 'related', 'to', 'the', 'atomic', 'structure', 'of', 'certain', 'decagonal', 'quasicrystals', 'and', 'despite', 'its', 'aperiodicity', 'is', 'highly', 'symmetric', 'it', 'is', 'known', 'that', 'the', 'numbers', '1', 'tau', 'tau2', 'tau3', 'where', 'tau', '1sqrt52', 'are', 'scaling', 'factors', 'of', 'the', 'penrose', 'tiling', 'we', 'show', 'that', 'the', 'set', 'of', 'scaling', 'factors', 'is', 'much', 'larger', 'and', 'for', 'most', 'of', 'them', 'the', 'number', 'of', 'the', 'corresponding', 'inflation', 'centers', 'is', 'infinite']] | [-0.1338402499465949, 0.21392326763033812, -0.05021674848147527, 0.11027975808158799, -0.08056555792802211, -0.10663864477255354, 0.01511809229850769, 0.33305367172667477, -0.30515863342302374, -0.24607798220081764, 0.13827547480380445, -0.3037222503599795, -0.1585928341056305, 0.18112634573922012, -0.015172696728823763, 0.05214548515328771, -0.005373765086529382, 0.07016291923002538, -0.022719792280854148, -0.2645762247195693, 0.29070825481109996, 0.05650540977843444, 0.2570321071279151, 0.015832281124665205, 0.0313283293296329, -0.05053635426994526, 0.013239952269941568, 0.0042277639026217385, -0.14100642812153444, 0.11086440382694657, 0.14100975483994593, 0.12567262518022096, 0.17557770294969846, -0.3394220492901337, -0.11394262703304942, 0.13864531691334295, 0.13696522935942718, 0.058334700241120474, 0.0032643655907701363, -0.21184616926069738, 0.13303565763459174, -0.11097036387460928, -0.13742384281376321, -0.06537704427980563, 0.11571508976913085, 0.03320501719876616, -0.25875153824083763, 0.07212448763223647, 0.11763607311260069, 0.02244234210670446, -0.043892888893782525, -0.11869818181730807, -0.017461146746592767, 0.08999710715601617, 0.05959342199617602, 0.0350923713924589, 0.09785109744971675, -0.12011955925404574, -0.10613933564022635, 0.44096506705902744, 0.05857766727267793, -0.19881002286053967, 0.20325409908158085, -0.2342717369707922, -0.14536408847903437, 0.13904860248845635, 0.03725885622429125, 0.08603994420969463, -0.09149198153384284, 0.13411255384562537, -0.09419391851053771, 0.17935994551622902, 0.11513183151625773, 0.020139611361435418, 0.15617890720904776, 0.171756389466199, 0.08127006662614418, 0.17603913674864805, -0.06218513448865534, -0.10227755025367845, -0.2883239281222676, -0.15160508076995471, -0.22223298632624475, 0.10290645356960312, -0.1772917404935773, -0.1963767173989309, 0.35184539012102917, 0.08131879956151049, 0.23007916299287567, 0.05819346864397327, 0.19890577097733816, 0.13703806568347235, 0.10075430531816726, 0.03701357130017696, 0.18736515223810618, 0.12537350409635992, 0.018211123834286507, -0.21008752988806614, 0.03214076763216519, 0.11088326336307959] |
710.3846 | Cells and Constructible Representations in type B | We examine the partition of a finite Coxeter group of type $B$ into cells
determined by a weight function $L$. The main objective of these notes is to
reconcile Lusztig's description of constructible representations in this
setting with conjectured combinatorial descriptions of cells.
| math.RT math.CO | we examine the partition of a finite coxeter group of type b into cells determined by a weight function l the main objective of these notes is to reconcile lusztigs description of constructible representations in this setting with conjectured combinatorial descriptions of cells | [['we', 'examine', 'the', 'partition', 'of', 'a', 'finite', 'coxeter', 'group', 'of', 'type', 'b', 'into', 'cells', 'determined', 'by', 'a', 'weight', 'function', 'l', 'the', 'main', 'objective', 'of', 'these', 'notes', 'is', 'to', 'reconcile', 'lusztigs', 'description', 'of', 'constructible', 'representations', 'in', 'this', 'setting', 'with', 'conjectured', 'combinatorial', 'descriptions', 'of', 'cells']] | [-0.13815506751280884, 0.09972395118174338, -0.10009078477877517, 0.06307142236551573, -0.08651326016284698, -0.12581627727161313, 0.07107426252129466, 0.30368769688661706, -0.32340131493198665, -0.2370801824469899, 0.0019211272768632963, -0.20202751708931702, -0.16687773774529613, 0.12280486545763737, -0.19062336166064406, -0.0655349028015206, 0.05120490792445665, 0.060220420349735855, -0.05865130614916399, -0.2872635540227557, 0.3549690773104166, -0.033080832469601966, 0.23564296661941117, -0.0017795017595554506, 0.10757269734939084, 0.0044394944642865385, -0.10234403335164453, 0.004746168851852417, -0.18861824598943078, 0.1826651998698105, 0.3208099258630428, 0.11764022875793798, 0.2438964010324589, -0.41669071345525077, -0.12498895459548505, 0.13616589758935016, 0.1406465944682443, 0.024996392710437607, 0.011568019989618036, -0.22514049518246984, 0.12337492164874146, -0.1542943935451466, -0.13747883645471098, -0.021200819579927727, 0.060894712161402714, 0.015132867362956668, -0.2387680812782153, -0.014559531042915444, 0.07141278605085126, 0.10093120518032202, -0.11284115325746148, -0.1696166306041008, -0.015763778596856567, 0.1073065112713118, -0.007117888592400177, 0.04958350516769082, 0.06787989055737853, -0.13821645914360361, -0.12421906648506952, 0.3873208006627338, 0.031966050437023476, -0.20603549990702832, 0.1617065365967709, -0.17494471746951687, -0.13781119523526625, 0.1141811716478578, 0.12189495562424146, 0.09772407625217078, -0.08857140607785347, 0.13400207910426828, -0.15058715135667225, 0.08617965767409133, 0.0950203100219369, 0.006502698690002394, 0.17058597234359316, 0.12286797214331928, -0.044296072687693804, 0.16193753818786422, 0.07842028981377912, -0.03064867862781813, -0.3652133772929394, -0.187654048334374, -0.18387980842800422, 0.1306498071698602, -0.07641218775926634, -0.19595472233066724, 0.4162448400328326, 0.056064888964905295, 0.22165636020864166, 0.13004137194433876, 0.19349702352354692, 0.06354378103170284, 0.10231153087197738, -0.03368109073706491, 0.06616606013199618, 0.2367917269489966, -0.032639037628203284, -0.19355457747181834, 0.01791060952873099, 0.2804434246838439] |
710.3847 | Coherent transfer of light polarization to electron spins in a
semiconductor | We demonstrate that the superposition of light polarization states is
coherently transferred to electron spins in a semiconductor quantum well. By
using time-resolved Kerr rotation we observe the initial phase of Larmor
precession of electron spins whose coherence is transferred from light. To
break the electron-hole spin entanglement, we utilized the big discrepancy
between the transverse g-factors of electrons and light holes. The result
encourages us to make a quantum media converter between flying photon qubits
and stationary electron spin qubits in semiconductors.
| quant-ph | we demonstrate that the superposition of light polarization states is coherently transferred to electron spins in a semiconductor quantum well by using timeresolved kerr rotation we observe the initial phase of larmor precession of electron spins whose coherence is transferred from light to break the electronhole spin entanglement we utilized the big discrepancy between the transverse gfactors of electrons and light holes the result encourages us to make a quantum media converter between flying photon qubits and stationary electron spin qubits in semiconductors | [['we', 'demonstrate', 'that', 'the', 'superposition', 'of', 'light', 'polarization', 'states', 'is', 'coherently', 'transferred', 'to', 'electron', 'spins', 'in', 'a', 'semiconductor', 'quantum', 'well', 'by', 'using', 'timeresolved', 'kerr', 'rotation', 'we', 'observe', 'the', 'initial', 'phase', 'of', 'larmor', 'precession', 'of', 'electron', 'spins', 'whose', 'coherence', 'is', 'transferred', 'from', 'light', 'to', 'break', 'the', 'electronhole', 'spin', 'entanglement', 'we', 'utilized', 'the', 'big', 'discrepancy', 'between', 'the', 'transverse', 'gfactors', 'of', 'electrons', 'and', 'light', 'holes', 'the', 'result', 'encourages', 'us', 'to', 'make', 'a', 'quantum', 'media', 'converter', 'between', 'flying', 'photon', 'qubits', 'and', 'stationary', 'electron', 'spin', 'qubits', 'in', 'semiconductors']] | [-0.13265079276703567, 0.3022323427497443, -0.046129151925596086, 0.0746300122111542, 0.011447130309709584, -0.19395349938871273, 0.05690662242354354, 0.4201231855697122, -0.26157241637807294, -0.30479084441707616, -0.08163597298707499, -0.343638530562082, 0.006246821191835116, 0.24100299904414688, 0.0036552997799702436, 0.06988144328772843, 0.009472510248285168, -0.0725173980266933, -0.07822335488864232, -0.1585494069808937, 0.2894952068303807, 0.003336262033623924, 0.3057614372347493, 0.06760292171489403, 0.15873202147433557, 0.07709095513739858, 0.1140791644883645, -0.07810614750642016, -0.07039179400225655, 0.09668274390643058, 0.24897041273617512, -0.010645742460816022, 0.15574521028313293, -0.4829346389139453, -0.17262705601751804, 0.024409686086183213, 0.14784770378147263, 0.24789268672690692, -0.0812002471816468, -0.3108637810247131, -0.07398089488227684, -0.18754408330129213, -0.11186172801956355, -0.07036489652222898, 0.007294830198523151, -0.0019246741893690035, -0.24124519639166006, 0.09748585343764848, 0.06967174795425374, -0.011293207946042699, -0.021968981127692275, 0.02791384596893766, -0.04374587045791727, 0.094301038533898, 0.0569883439947952, 0.044430642775877056, 0.19563478280240335, -0.03219750617681273, -0.1735313824007669, 0.3373070031696235, -0.061284018932920264, -0.14494758556002235, 0.11252954928765455, -0.2563990761570812, 0.0371868061154228, 0.09137536116303449, 0.16302874344204699, 0.12104434116059039, -0.10182175496368702, 0.0158685448576685, 0.005022389219557664, 0.24806731611669783, 0.09948523935065212, 0.17495374291215138, 0.32620017082396763, 0.11321156301973276, 0.05126955496506339, 0.16003603283989143, -0.16680500181588198, -0.07679455513583429, -0.20109249905021076, -0.1851717162069427, -0.29192181182913035, 0.19101475261106907, -0.043399364395412136, -0.08723265197442238, 0.4478366530152509, 0.12268236794800733, 0.15528619549719683, -0.10206186734364335, 0.3044662908197283, 0.09295466128198138, 0.05704714822392148, 0.08615134677748723, 0.29438419738806876, 0.24662851406743816, 0.10985507955213628, -0.34913609192302697, -0.027742693736498434, -0.024215823981955827] |
710.3848 | Andreev reflection and Klein tunneling in graphene | This is a colloquium-style introduction to two electronic processes in a
carbon monolayer (graphene), each having an analogue in relativistic quantum
mechanics. Both processes couple electron-like and hole-like states, through
the action of either a superconducting pair potential or an electrostatic
potential. The first process, Andreev reflection, is the electron-to-hole
conversion at the interface with a superconductor. The second process, Klein
tunneling, is the tunneling through a p-n junction. Existing and proposed
experiments on Josephson junctions and bipolar junctions in graphene are
discussed from a unified perspective.
CONTENTS:
I. INTRODUCTION
II. BASIC PHYSICS OF GRAPHENE (Dirac equation; Time reversal symmetry;
Boundary conditions; Pseudo-diffusive dynamics)
III. ANDREEV REFLECTION (Electron-hole conversion; Retro-reflection vs.
specular reflection; Dirac-Bogoliubov-de Gennes equation; Josephson junctions;
Further reading)
IV. KLEIN TUNNELING (Absence of backscattering; Bipolar junctions; Magnetic
field effects; Further reading)
V. ANALOGIES (Mapping between NS and p-n junction; Retro-reflection vs.
negative refraction; Valley-isospin dependent quantum Hall effect;
Pseudo-superconductivity)
| cond-mat.mes-hall | this is a colloquiumstyle introduction to two electronic processes in a carbon monolayer graphene each having an analogue in relativistic quantum mechanics both processes couple electronlike and holelike states through the action of either a superconducting pair potential or an electrostatic potential the first process andreev reflection is the electrontohole conversion at the interface with a superconductor the second process klein tunneling is the tunneling through a pn junction existing and proposed experiments on josephson junctions and bipolar junctions in graphene are discussed from a unified perspective contents i introduction ii basic physics of graphene dirac equation time reversal symmetry boundary conditions pseudodiffusive dynamics iii andreev reflection electronhole conversion retroreflection vs specular reflection diracbogoliubovde gennes equation josephson junctions further reading iv klein tunneling absence of backscattering bipolar junctions magnetic field effects further reading v analogies mapping between ns and pn junction retroreflection vs negative refraction valleyisospin dependent quantum hall effect pseudosuperconductivity | [['this', 'is', 'a', 'colloquiumstyle', 'introduction', 'to', 'two', 'electronic', 'processes', 'in', 'a', 'carbon', 'monolayer', 'graphene', 'each', 'having', 'an', 'analogue', 'in', 'relativistic', 'quantum', 'mechanics', 'both', 'processes', 'couple', 'electronlike', 'and', 'holelike', 'states', 'through', 'the', 'action', 'of', 'either', 'a', 'superconducting', 'pair', 'potential', 'or', 'an', 'electrostatic', 'potential', 'the', 'first', 'process', 'andreev', 'reflection', 'is', 'the', 'electrontohole', 'conversion', 'at', 'the', 'interface', 'with', 'a', 'superconductor', 'the', 'second', 'process', 'klein', 'tunneling', 'is', 'the', 'tunneling', 'through', 'a', 'pn', 'junction', 'existing', 'and', 'proposed', 'experiments', 'on', 'josephson', 'junctions', 'and', 'bipolar', 'junctions', 'in', 'graphene', 'are', 'discussed', 'from', 'a', 'unified', 'perspective', 'contents', 'i', 'introduction', 'ii', 'basic', 'physics', 'of', 'graphene', 'dirac', 'equation', 'time', 'reversal', 'symmetry', 'boundary', 'conditions', 'pseudodiffusive', 'dynamics', 'iii', 'andreev', 'reflection', 'electronhole', 'conversion', 'retroreflection', 'vs', 'specular', 'reflection', 'diracbogoliubovde', 'gennes', 'equation', 'josephson', 'junctions', 'further', 'reading', 'iv', 'klein', 'tunneling', 'absence', 'of', 'backscattering', 'bipolar', 'junctions', 'magnetic', 'field', 'effects', 'further', 'reading', 'v', 'analogies', 'mapping', 'between', 'ns', 'and', 'pn', 'junction', 'retroreflection', 'vs', 'negative', 'refraction', 'valleyisospin', 'dependent', 'quantum', 'hall', 'effect', 'pseudosuperconductivity']] | [-0.2430035715845103, 0.1522473256245333, -0.05758583258488215, 0.032607669809488773, -0.0970809577902158, -0.26855187898501753, 0.09732411159202456, 0.35503436697646973, -0.24780558158953986, -0.26420591976493596, -0.09613335596164689, -0.33338933750366173, -0.13327847133080165, 0.1682366484000037, 0.019996378431096674, -0.008005271785635463, -0.009073145492002367, -0.11335647134575993, -0.07009992946152731, -0.14938451399405797, 0.3096389568845431, -0.01882501772760103, 0.35533955400499206, 0.10437952184739212, 0.03441284901365482, 0.01889615467439095, 0.12256063129908094, -0.019391337335109712, -0.12689997162456468, -0.02813373407232575, 0.24018458484051128, -0.15050606008308628, 0.15723871672914053, -0.5515081436559558, -0.18784640138192724, -0.04651876239106059, 0.15693449851629945, 0.1408323641003032, -0.09714942710862184, -0.3359297082821528, -0.020580765095849832, -0.13599551517205935, -0.0646738460411628, 0.035657764421775935, 0.030029562738297197, -0.06207708229776472, -0.20067301185180744, 0.07657571549061686, 0.055204242911810676, 0.06627435525724043, -0.03646946737736774, -0.052268795236789935, -0.08110733244257669, -0.005238010075020914, -0.02444083307442876, -0.024032106117034952, 0.20232300497048225, -0.14094503451449175, -0.18046822506934404, 0.32665000434964897, -0.02837110575909416, -0.14663568393637735, 0.15114337841048836, -0.16988924222377438, -0.0009885062153140703, 0.16738029318396003, 0.049444372315580645, 0.09116852615649501, -0.18276133962751676, 0.1120190085330978, -0.0010441252581464748, 0.08542635055569311, 0.15011775970924646, 0.04641035926528275, 0.2818566575522224, 0.18373590926562125, 0.020769982269654673, 0.07587822145782411, -0.15457107355352492, -0.03247571335174143, -0.32883072006205716, -0.23005501944106072, -0.17819139026105404, 0.16543490861387303, -0.03676529110680955, -0.20734177194535733, 0.386767585085084, 0.11540980561946829, 0.1289179295208305, -0.09823526977250974, 0.2919264919000367, 0.20626205370606235, 0.02130426687421277, -0.01453076485854884, 0.14323655038451155, 0.22373569678980856, 0.14075986334122717, -0.3380796538326346, 0.026684193791200718, 0.0016156869319578012] |
710.3849 | Fractal Analysis of Discharge Current Fluctuations | We use the multifractal detrended fluctuation analysis (MF-DFA) to study the
electrical discharge current fluctuations in plasma and show that it has
multifractal properties and behaves as a weak anti-correlated process.
Comparison of the MF-DFA results for the original series with those for the
shuffled and surrogate series shows that correlation of the fluctuations is
responsible for multifractal nature of the electrical discharge current.
| cond-mat.stat-mech | we use the multifractal detrended fluctuation analysis mfdfa to study the electrical discharge current fluctuations in plasma and show that it has multifractal properties and behaves as a weak anticorrelated process comparison of the mfdfa results for the original series with those for the shuffled and surrogate series shows that correlation of the fluctuations is responsible for multifractal nature of the electrical discharge current | [['we', 'use', 'the', 'multifractal', 'detrended', 'fluctuation', 'analysis', 'mfdfa', 'to', 'study', 'the', 'electrical', 'discharge', 'current', 'fluctuations', 'in', 'plasma', 'and', 'show', 'that', 'it', 'has', 'multifractal', 'properties', 'and', 'behaves', 'as', 'a', 'weak', 'anticorrelated', 'process', 'comparison', 'of', 'the', 'mfdfa', 'results', 'for', 'the', 'original', 'series', 'with', 'those', 'for', 'the', 'shuffled', 'and', 'surrogate', 'series', 'shows', 'that', 'correlation', 'of', 'the', 'fluctuations', 'is', 'responsible', 'for', 'multifractal', 'nature', 'of', 'the', 'electrical', 'discharge', 'current']] | [-0.08521847009615158, 0.11457403162057744, -0.17237136535550235, 0.13475671155097757, 0.03526653106473532, -0.08700977745320415, 0.0016307103214785457, 0.3480869801423978, -0.27006405871361494, -0.2279121415776899, 0.0872712777909328, -0.3899506028392352, -0.17428524009301327, 0.24841957091121003, 0.02105332193605136, 0.09275311457895441, 0.019220754722482525, -0.03546191242639907, -0.0238331006221415, -0.1572255475912243, 0.2622002524440177, 0.07604755407373887, 0.4024078536021989, 0.03887134746400989, 0.019652276387205347, 0.010487138356438663, -0.10532592042000033, 0.07446014587185346, -0.08765517858955718, 0.04107780588674359, 0.15612913230870618, 0.03628494782969938, 0.23276741919107735, -0.3964042543375399, -0.24733909477072302, 0.05538576954859309, 0.12446378202912456, 0.00800965256348718, -0.00327425537398085, -0.24928434687899426, 0.11440960735671979, -0.0993827973234147, -0.0708049292297801, -0.12995802106161136, 0.06830690725473687, 0.08346729022377986, -0.2948401551693678, 0.20208178362827312, 0.06420126292505302, 0.10192635330167832, -0.06161749002058059, -0.07264970953110605, -0.024708554963581264, 0.14613366434787167, 0.09502952576576718, -0.026554651583865052, 0.2099982489089598, -0.09516274754423648, -0.09431347123518208, 0.31654858085676096, -0.1342878846480744, -0.11224108273745514, 0.1542498542839894, -0.23165855572733562, -0.14369300052931067, 0.11341749790153699, 0.09350762839312665, 0.0015577091253362596, -0.14889182001934387, 0.00507693858253333, 0.0045677932212129235, 0.18936420095269568, 0.031273229004000314, 0.009080214251298457, 0.15515321108978242, 0.19139532704411977, 0.010075034238980152, 0.20279939323154395, -0.12995647624484263, -0.06215030743624084, -0.27351451612776145, -0.15511886031890754, -0.2074625053392083, 0.04458823997811123, -0.11711474746630302, -0.25942504496197216, 0.5197456432506442, 0.224605983166839, 0.13996567300637253, 0.07093515255837701, 0.28303118524490856, 0.15866030521101493, 0.004602133604748815, 0.06775221447605873, 0.20588425191817805, 0.1594961424707435, 0.219186601229012, -0.238529681613727, 0.101295991022198, 0.04519139320473187] |
710.385 | Detection of Acetylene toward Cepheus A East with Spitzer | The first map of interstellar acetylene (C2H2) has been obtained with the
infrared spectrograph onboard the Spitzer Space Telescope. A spectral line map
of the $\nu_5$ vibration-rotation band at 13.7 microns carried out toward the
star-forming region Cepheus A East, shows that the C2H2 emission peaks in a few
localized clumps where gas-phase CO2 emission was previously detected with
Spitzer. The distribution of excitation temperatures derived from fits to the
C2H2 line profiles ranges from 50 to 200 K, a range consistent with that
derived for gaseous CO2 suggesting that both molecules probe the same warm gas
component. The C2H2 molecules are excited via radiative pumping by 13.7 microns
continuum photons emanating from the HW2 protostellar region. We derive column
densities ranging from a few x 10^13 to ~ 7 x 10^14 cm^-2, corresponding to
C2H2 abundances of 1 x 10^-9 to 4 x 10^-8 with respect to H2. The spatial
distribution of the C2H2 emission along with a roughly constant N(C2H2)/N(CO2)
strongly suggest an association with shock activity, most likely the result of
the sputtering of acetylene in icy grain mantles.
| astro-ph | the first map of interstellar acetylene c2h2 has been obtained with the infrared spectrograph onboard the spitzer space telescope a spectral line map of the nu_5 vibrationrotation band at 137 microns carried out toward the starforming region cepheus a east shows that the c2h2 emission peaks in a few localized clumps where gasphase co2 emission was previously detected with spitzer the distribution of excitation temperatures derived from fits to the c2h2 line profiles ranges from 50 to 200 k a range consistent with that derived for gaseous co2 suggesting that both molecules probe the same warm gas component the c2h2 molecules are excited via radiative pumping by 137 microns continuum photons emanating from the hw2 protostellar region we derive column densities ranging from a few x 1013 to 7 x 1014 cm2 corresponding to c2h2 abundances of 1 x 109 to 4 x 108 with respect to h2 the spatial distribution of the c2h2 emission along with a roughly constant nc2h2nco2 strongly suggest an association with shock activity most likely the result of the sputtering of acetylene in icy grain mantles | [['the', 'first', 'map', 'of', 'interstellar', 'acetylene', 'c2h2', 'has', 'been', 'obtained', 'with', 'the', 'infrared', 'spectrograph', 'onboard', 'the', 'spitzer', 'space', 'telescope', 'a', 'spectral', 'line', 'map', 'of', 'the', 'nu_5', 'vibrationrotation', 'band', 'at', '137', 'microns', 'carried', 'out', 'toward', 'the', 'starforming', 'region', 'cepheus', 'a', 'east', 'shows', 'that', 'the', 'c2h2', 'emission', 'peaks', 'in', 'a', 'few', 'localized', 'clumps', 'where', 'gasphase', 'co2', 'emission', 'was', 'previously', 'detected', 'with', 'spitzer', 'the', 'distribution', 'of', 'excitation', 'temperatures', 'derived', 'from', 'fits', 'to', 'the', 'c2h2', 'line', 'profiles', 'ranges', 'from', '50', 'to', '200', 'k', 'a', 'range', 'consistent', 'with', 'that', 'derived', 'for', 'gaseous', 'co2', 'suggesting', 'that', 'both', 'molecules', 'probe', 'the', 'same', 'warm', 'gas', 'component', 'the', 'c2h2', 'molecules', 'are', 'excited', 'via', 'radiative', 'pumping', 'by', '137', 'microns', 'continuum', 'photons', 'emanating', 'from', 'the', 'hw2', 'protostellar', 'region', 'we', 'derive', 'column', 'densities', 'ranging', 'from', 'a', 'few', 'x', '1013', 'to', '7', 'x', '1014', 'cm2', 'corresponding', 'to', 'c2h2', 'abundances', 'of', '1', 'x', '109', 'to', '4', 'x', '108', 'with', 'respect', 'to', 'h2', 'the', 'spatial', 'distribution', 'of', 'the', 'c2h2', 'emission', 'along', 'with', 'a', 'roughly', 'constant', 'nc2h2nco2', 'strongly', 'suggest', 'an', 'association', 'with', 'shock', 'activity', 'most', 'likely', 'the', 'result', 'of', 'the', 'sputtering', 'of', 'acetylene', 'in', 'icy', 'grain', 'mantles']] | [-0.044015469164393535, 0.14094355191086327, 0.011466096344196961, -0.014852592731929487, 0.023791909047092, -0.07199728393202855, 0.04872802365053859, 0.4547514293420439, -0.18809631706875127, -0.34134107417743914, 0.042261006881017235, -0.30315761896134874, 0.03925975697735946, 0.12834210832887846, 0.02968015724036377, -0.05622426841291599, 0.01757926247131157, -0.14569906169037697, 0.0030351485268005894, -0.16672440957691934, 0.23276864661731653, 0.10077064213433509, 0.15702723808935842, 0.051018387153130285, 0.07227190928630686, -0.20271306405257847, -0.02850320011170374, -0.11118955008520667, -0.17025034459652993, 0.08866366862785072, 0.281231808455454, 0.0549227950493029, 0.15984922345766486, -0.3758060128738483, -0.2590024907581715, 0.033040745735828145, 0.15404328816932522, -0.018966737592644577, -0.00043377889992876183, -0.2839391917675837, 0.017591919955318898, -0.14485907096596848, -0.18396975982597927, 0.1070320652383897, 0.07831725912013401, 0.011035033002392286, -0.25825528336378434, 0.09390800292603671, -0.0711705294094928, 0.1414165082646327, -0.14176076753194342, -0.18929883891509638, -0.183501072008706, 0.018347506986982707, 0.00665971067113181, 0.1015056191659015, 0.29294074142558707, -0.0850687568464006, 0.015703613333041884, 0.3999350026042925, -0.1881668419421961, 0.04582043231154482, 0.24374117466957412, -0.2509904686413291, -0.19703792294862474, 0.366727169653556, 0.06237751467981272, 0.13704915900921655, -0.13817498004678377, -0.016422602670112006, -0.07427139588463534, 0.2635289545533144, 0.12388206309276736, 0.06369845029354716, 0.27564921294623573, 0.06872020433010119, 0.039790888838858035, 0.12664582268302588, -0.30059380931779744, -0.04798389892869939, -0.22263217653510056, -0.1326302537177172, -0.13389967367466954, 0.09499705054460922, -0.11729493759210324, -0.050139981089159846, 0.2920510998616616, 0.09554454179791112, 0.24785523688058472, 0.02045368577625292, 0.28777629019977113, 0.05840024855505261, 0.07814507310201103, 0.09388089773452116, 0.27127001287493235, 0.19275746874433633, 0.12095469585878568, -0.19988584864056771, 0.054167942669139144, -0.023587667737673554] |
710.3851 | A(4) Symmetry and Neutrinos | I recount briefly the history of neutrino tribimaximal mixing and the use of
the discrete family symmetry A(4) in obtaining it.
| hep-ph | i recount briefly the history of neutrino tribimaximal mixing and the use of the discrete family symmetry a4 in obtaining it | [['i', 'recount', 'briefly', 'the', 'history', 'of', 'neutrino', 'tribimaximal', 'mixing', 'and', 'the', 'use', 'of', 'the', 'discrete', 'family', 'symmetry', 'a4', 'in', 'obtaining', 'it']] | [-0.06495992351500761, 0.2292767424313795, 0.0036402581525700434, 0.15957187302410603, -0.120572268253281, -0.12397523987151328, 0.03250240729678245, 0.34375305970509845, -0.28989933821417035, -0.23824128552916504, 0.14889682866522067, -0.23372229170941172, -0.14107812036361014, 0.06921603969697442, 0.0005781486453044982, -0.005267825864610218, -0.010555029979773931, -0.022487346615110124, -0.14247475788440733, -0.24152711432959353, 0.30095228453033734, 0.05241328335943676, 0.25986363437204135, -0.030480567055443924, 0.11456879181787372, -0.06957955494345654, -0.09821143418195702, -0.19651710295251437, -0.14288011388409705, 0.07350001918772857, 0.14792881965903298, 0.21386792439789998, 0.05110922151999105, -0.3872614089576971, -0.12284313882922843, 0.08796434750824812, 0.12036339841073468, 0.1592246246125017, -0.15811063167417333, -0.3061908782415447, -0.02643017532924811, -0.3033664884666602, -0.18683075745190894, -0.06558947690895625, -0.013611365109682083, -0.07493795880249568, -0.23289894383578075, 0.08454543219080993, 0.03861985204830056, 0.026685144752264023, 0.02048025203181342, -0.1841534071025394, -0.04329838461819149, 0.08462189887428567, 0.21649210346818326, -0.09660788570042877, 0.003622610537734415, -0.1280854979219536, -0.05668946045140425, 0.5161241906379084, -0.04586113604628259, -0.13023763287457682, 0.04265164286785182, -0.167445464857987, -0.25414317118979635, 0.02588337908188502, 0.11735608783506211, 0.0628627748450353, -0.1268200586949076, 0.1653620960340569, -0.1453786369058348, 0.06301793101288024, 0.06080564315475169, -0.003447323993203186, 0.22784995571488426, 0.22366439630942686, 0.061821963238929, -0.07403638781536193, -0.06816692236212216, -0.11702395381317252, -0.4364098920708611, -0.13720266787069185, -0.1396473172519888, 0.10694922152019683, -0.09105632273366653, -0.15120433501544453, 0.5033478768808501, 0.1422640612082822, 0.1750974753605468, 0.02468513324856758, 0.1730153679492928, 0.021333015169061366, 0.025633469756160463, -0.016253409463734853, 0.25033858844212126, 0.1410230268679914, 0.09268623572729882, -0.3283106266033082, 0.019005354538205125, 0.14734675269573927] |
710.3852 | Quantum Antiferromagnetism of Fermions in Optical Lattices with
Half-filled p-band | We study Fermi gases in a three-dimensional optical lattice with five
fermions per site, i.e. the s-band is completely filled and the p-band with
three-fold degeneracy is half filled. We show that, for repulsive interaction
between fermions, the system will exhibit spin-3/2 antiferromagnetic order at
low temperature. This conclusion is obtained in strong interaction regime by
strong coupling expansion which yields an isotropic spin-3/2 Heisenberg model,
and also in weak interaction regime by Hatree-Fock mean-field theory and
analysis of Fermi surface nesting. We show that the critical temperature for
this antiferromagnetism of a p-band Mott insulator is about two orders of
magnitudes higher than that of an $s$-band Mott insulator, which is close to
the lowest temperature attainable nowadays.
| cond-mat.str-el cond-mat.supr-con | we study fermi gases in a threedimensional optical lattice with five fermions per site ie the sband is completely filled and the pband with threefold degeneracy is half filled we show that for repulsive interaction between fermions the system will exhibit spin32 antiferromagnetic order at low temperature this conclusion is obtained in strong interaction regime by strong coupling expansion which yields an isotropic spin32 heisenberg model and also in weak interaction regime by hatreefock meanfield theory and analysis of fermi surface nesting we show that the critical temperature for this antiferromagnetism of a pband mott insulator is about two orders of magnitudes higher than that of an sband mott insulator which is close to the lowest temperature attainable nowadays | [['we', 'study', 'fermi', 'gases', 'in', 'a', 'threedimensional', 'optical', 'lattice', 'with', 'five', 'fermions', 'per', 'site', 'ie', 'the', 'sband', 'is', 'completely', 'filled', 'and', 'the', 'pband', 'with', 'threefold', 'degeneracy', 'is', 'half', 'filled', 'we', 'show', 'that', 'for', 'repulsive', 'interaction', 'between', 'fermions', 'the', 'system', 'will', 'exhibit', 'spin32', 'antiferromagnetic', 'order', 'at', 'low', 'temperature', 'this', 'conclusion', 'is', 'obtained', 'in', 'strong', 'interaction', 'regime', 'by', 'strong', 'coupling', 'expansion', 'which', 'yields', 'an', 'isotropic', 'spin32', 'heisenberg', 'model', 'and', 'also', 'in', 'weak', 'interaction', 'regime', 'by', 'hatreefock', 'meanfield', 'theory', 'and', 'analysis', 'of', 'fermi', 'surface', 'nesting', 'we', 'show', 'that', 'the', 'critical', 'temperature', 'for', 'this', 'antiferromagnetism', 'of', 'a', 'pband', 'mott', 'insulator', 'is', 'about', 'two', 'orders', 'of', 'magnitudes', 'higher', 'than', 'that', 'of', 'an', 'sband', 'mott', 'insulator', 'which', 'is', 'close', 'to', 'the', 'lowest', 'temperature', 'attainable', 'nowadays']] | [-0.18645586785733184, 0.2543309777840569, 0.005476005179729282, 0.048844102726067505, -0.00226790233546508, -0.19404003965597943, 0.06924140515459404, 0.38296537823630733, -0.2069026705918505, -0.26020946262106925, 0.00885734917838596, -0.37820502937215716, -0.09704836281094731, 0.13314070086730564, 0.08735651746803128, -0.0690584994985589, -0.022438236359632064, -0.010555246275528764, -0.13583766576880982, -0.26483259597761916, 0.32252394526555134, 0.02334566034196618, 0.28990145917480986, 0.10065307184083372, 0.051758355809328686, -0.005539978695876834, 0.1663461774939812, 0.015234518346196714, -0.14011532009451821, 0.04765427622067578, 0.22259602076403343, -0.14221063113826163, 0.19731622852948533, -0.38714659754030345, -0.18922170550765924, 0.023479328463401866, 0.13899150327192383, 0.1576066119498534, -0.03519143373216307, -0.2969781026056334, 0.0022624662965770904, -0.21450128247413566, -0.17555724467129344, -0.08705615258908697, -0.029124499412112627, -0.051089134867530035, -0.24057352895840628, 0.12075332425189392, 0.07272147064825066, 0.1187705032668319, -0.11080472530531031, -0.09611074697175416, -0.06025932341454034, 0.04594876441885443, 0.019827848148704388, 0.09596922329407842, 0.045145824398970656, -0.14851190831449604, -0.06615163365324192, 0.4000743309489819, -0.11360516344520416, -0.0825643733519466, 0.21577738881152234, -0.23625317793496015, -0.05987606629604051, 0.19289678283536635, 0.08500355491492928, 0.01344061313009187, -0.12553020115127833, 0.09791466857560034, -0.04755303162412264, 0.21316217678841673, 0.00041612142211749773, 0.04462388494764181, 0.29762913983612627, 0.2070639783109562, 0.07815804925723736, 0.15357822590280606, -0.10877637694268918, -0.0816292974064831, -0.24641047247505488, -0.13941628684704543, -0.2571937793771885, 0.04787599185125574, -0.05777744027287523, -0.15757133794494538, 0.3608197589080092, 0.17084123511767374, 0.13953554925328793, -0.03060275857031596, 0.24355303452295415, 0.136691550223329, 0.029660301243870698, 0.045741200830568284, 0.29910308668123825, 0.1217552405359427, 0.05793104697206691, -0.24608666574418106, -0.050222641874511705, 0.0877505302617029] |
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