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707.343 | Commensurability of geometric subgroups of mapping class groups | Let M be a surface (possibly nonorientable) with punctures and/or boundary
components. The paper is a study of ``geometric subgroups'' of the mapping
class group of M, that is subgroups corresponding to inclusions of subsurfaces
(possibly disconnected). We characterise the subsurfaces which lead to
virtually abelian geometric subgroups. We provide algebraic and geometric
conditions under which two geometric subgroups are commensurable. We also
describe the commensurator of a geometric subgroup in terms of the stabiliser
of the underlying subsurface. Finally, we show some applications of our
analysis to the theory of irreducible unitary representations of mapping class
groups.
| math.GT math.GR | let m be a surface possibly nonorientable with punctures andor boundary components the paper is a study of geometric subgroups of the mapping class group of m that is subgroups corresponding to inclusions of subsurfaces possibly disconnected we characterise the subsurfaces which lead to virtually abelian geometric subgroups we provide algebraic and geometric conditions under which two geometric subgroups are commensurable we also describe the commensurator of a geometric subgroup in terms of the stabiliser of the underlying subsurface finally we show some applications of our analysis to the theory of irreducible unitary representations of mapping class groups | [['let', 'm', 'be', 'a', 'surface', 'possibly', 'nonorientable', 'with', 'punctures', 'andor', 'boundary', 'components', 'the', 'paper', 'is', 'a', 'study', 'of', 'geometric', 'subgroups', 'of', 'the', 'mapping', 'class', 'group', 'of', 'm', 'that', 'is', 'subgroups', 'corresponding', 'to', 'inclusions', 'of', 'subsurfaces', 'possibly', 'disconnected', 'we', 'characterise', 'the', 'subsurfaces', 'which', 'lead', 'to', 'virtually', 'abelian', 'geometric', 'subgroups', 'we', 'provide', 'algebraic', 'and', 'geometric', 'conditions', 'under', 'which', 'two', 'geometric', 'subgroups', 'are', 'commensurable', 'we', 'also', 'describe', 'the', 'commensurator', 'of', 'a', 'geometric', 'subgroup', 'in', 'terms', 'of', 'the', 'stabiliser', 'of', 'the', 'underlying', 'subsurface', 'finally', 'we', 'show', 'some', 'applications', 'of', 'our', 'analysis', 'to', 'the', 'theory', 'of', 'irreducible', 'unitary', 'representations', 'of', 'mapping', 'class', 'groups']] | [-0.1909873901856873, 0.1402395565801642, -0.1437875854744747, 0.024435167554860974, -0.11442602594259518, -0.09551393412224644, 0.013452842399211866, 0.37188477840806755, -0.31553252208597804, -0.2536122228532117, 0.14710439325248517, -0.23961034926528835, -0.153486855489639, 0.2041651103407981, -0.18375262212036747, -0.051744972992384314, 0.055388254555398406, 0.07821609890260686, -0.11033889628015459, -0.24418026612767454, 0.40449001366861775, -0.10432940213085741, 0.20382155428583526, 0.02754085271783192, 0.06919939471503758, -0.03714716256292043, -0.03532408163597693, 0.016679809830265537, -0.14190105921198312, 0.17489213020806865, 0.3066361507742989, 0.035877216235515944, 0.15335394297393837, -0.39918171397733443, -0.2023365827258296, 0.22034657258084234, 0.09410690419775035, 0.010123539190948466, -0.04005254579860033, -0.2986303128169051, 0.12069029366711573, -0.13826606342835085, -0.1643767264120433, -0.06664000103744316, 0.049169767049274275, -0.022987868563196033, -0.20747826188536628, -0.01986902397469266, 0.09824043260328946, 0.1277453849776363, -0.06537299919445828, -0.06475465795220046, -0.04327490960713476, 0.1558847725296355, 0.02239181158817088, -0.014085983408481948, 0.12268778678428914, -0.07866395153675457, -0.07517117844557161, 0.4174784010238185, -0.02300690630823849, -0.22298334131245406, 0.21478225276520363, -0.17054420283862523, -0.2020874675220753, 0.13671982857132597, 0.1593254624998995, 0.1265309898192253, -0.07333795316707419, 0.17324274467549058, -0.14439396924999714, 0.07463847284029447, 0.031212548395067607, 0.011368533030950598, 0.13113729064845794, 0.08292544980970573, 0.11171575645820835, 0.18092810493128905, 0.018316190036450873, 0.03100784753962439, -0.3980433998287332, -0.2104073120043518, -0.09142209275872731, 0.1049976499135872, -0.12441392623500457, -0.21495746803821578, 0.4469023691870424, 0.05433838777434157, 0.1508116728474139, 0.11007525483668991, 0.17647014939397268, 0.03498705719450337, 0.036767803826274315, 0.09082268135223005, 0.06317392857038483, 0.2502060602038947, -0.17836548942046201, -0.20392015064135194, -0.008815029388939848, 0.16060092759185604] |
707.3431 | The nature of ZZ branes | In minimal non-critical string theory we show that the principal (r,s) ZZ
brane can be viewed as the basic (1,1) ZZ boundary state tensored with the
(r,s) Cardy boundary state. In this sense there exists only one ZZ boundary
state, the basic (1,1) boundary state.
| hep-th | in minimal noncritical string theory we show that the principal rs zz brane can be viewed as the basic 11 zz boundary state tensored with the rs cardy boundary state in this sense there exists only one zz boundary state the basic 11 boundary state | [['in', 'minimal', 'noncritical', 'string', 'theory', 'we', 'show', 'that', 'the', 'principal', 'rs', 'zz', 'brane', 'can', 'be', 'viewed', 'as', 'the', 'basic', '11', 'zz', 'boundary', 'state', 'tensored', 'with', 'the', 'rs', 'cardy', 'boundary', 'state', 'in', 'this', 'sense', 'there', 'exists', 'only', 'one', 'zz', 'boundary', 'state', 'the', 'basic', '11', 'boundary', 'state']] | [-0.19552770268378986, 0.18559649342464077, -0.06656168252229691, 0.0804663765632237, -0.07325284452074105, -0.2892842928154601, 0.02140322022088286, 0.29242777517065405, -0.3023418582148022, -0.1586303026932809, 0.1385925821830622, -0.2305197895401054, -0.09481087430483764, 0.10074834302067756, -0.08506833973030249, 0.053873927725685965, 0.12102474552682704, 0.15571743870774904, -0.06865669883684151, -0.24677084568474028, 0.3303591115710636, -0.09864257230526871, 0.23571539158001542, -0.038044186598724786, 0.002812090598874622, 0.029180023945971495, 0.05539628594285912, -0.014391954905456967, -0.19055393901734433, 0.010129979956481192, 0.2684787450565232, 0.03561900472268462, 0.11285798855953746, -0.3993975733510322, -0.22300223204203778, 0.07276272746837802, 0.1734736346743173, 0.09337250493958385, 0.03223790851318174, -0.25117828369968465, 0.15363091453909875, -0.19234589365207486, -0.14578897479093736, 0.0319929044900669, -0.019571916717622016, -0.16377000643147363, -0.21803992340962092, 0.07912906805674234, 0.044762978413038786, 0.028323198875619307, -0.11273397784680128, -0.1564483951570259, -0.19341487189133963, 0.08097377717494965, 0.08088421935422553, 0.1474416130946742, 0.09480006782751944, -0.14282659047490193, -0.1671596563136619, 0.2663901949624738, -0.11611443075040977, -0.24896486887915267, 0.21733126406454378, -0.16152792136288352, -0.1268326690213548, 0.0662487074939741, 0.003805370959970686, 0.09404608665241135, -0.12019030956758393, 0.2267721915203664, -0.06823082954312364, 0.17568951258435844, 0.10907016388244099, 0.028499656926012702, 0.21320291223625343, 0.10245535290903515, 0.042505559511482716, 0.16833174251175176, -0.09505598621649874, -0.09833180639478896, -0.49535803463723926, -0.19981499386744367, -0.08369318708363506, 0.13601069069570965, -0.1594598887488246, -0.20319709852337836, 0.3225681641449531, 0.1029068145642264, 0.23780286088585853, -0.03549130929427014, 0.17202193561889645, 0.14213527554594393, -0.0063276340564092, 0.1541803389787674, 0.2676677071075473, 0.17373433276596997, 0.08120227725141578, -0.1904756722247435, -0.03844478480103943, 0.16695644756158193] |
707.3432 | Luminosity Functions of Gamma-Ray Burst Afterglows | Aims: Use the standard fireball model to create virtual populations of
gamma-ray burst afterglows and study their luminosity functions.
Methods: We randomly vary the parameters of the standard fireball model to
create virtual populations of afterglows. We use the luminosity of each burst
at an observer's time of 1 day to create a luminosity function and compare our
results with available observational data to assess the internal consistency of
the standard fireball model.
Results: We show that the luminosity functions can be described by a function
similar to a log normal distribution with an exponential cutoff. The function
parameters are frequency dependent but not very dependent on the model
parameter distributions used to create the virtual populations. Comparison with
observations shows that while there is good general agreement with the data, it
is difficult to explain simultaneously the X-ray and optical data. Possible
reasons for this are discussed and the most likely one is that the standard
fireball model is incomplete and that decoupling of the X-ray and optical
emission mechanism may be needed.
| astro-ph | aims use the standard fireball model to create virtual populations of gammaray burst afterglows and study their luminosity functions methods we randomly vary the parameters of the standard fireball model to create virtual populations of afterglows we use the luminosity of each burst at an observers time of 1 day to create a luminosity function and compare our results with available observational data to assess the internal consistency of the standard fireball model results we show that the luminosity functions can be described by a function similar to a log normal distribution with an exponential cutoff the function parameters are frequency dependent but not very dependent on the model parameter distributions used to create the virtual populations comparison with observations shows that while there is good general agreement with the data it is difficult to explain simultaneously the xray and optical data possible reasons for this are discussed and the most likely one is that the standard fireball model is incomplete and that decoupling of the xray and optical emission mechanism may be needed | [['aims', 'use', 'the', 'standard', 'fireball', 'model', 'to', 'create', 'virtual', 'populations', 'of', 'gammaray', 'burst', 'afterglows', 'and', 'study', 'their', 'luminosity', 'functions', 'methods', 'we', 'randomly', 'vary', 'the', 'parameters', 'of', 'the', 'standard', 'fireball', 'model', 'to', 'create', 'virtual', 'populations', 'of', 'afterglows', 'we', 'use', 'the', 'luminosity', 'of', 'each', 'burst', 'at', 'an', 'observers', 'time', 'of', '1', 'day', 'to', 'create', 'a', 'luminosity', 'function', 'and', 'compare', 'our', 'results', 'with', 'available', 'observational', 'data', 'to', 'assess', 'the', 'internal', 'consistency', 'of', 'the', 'standard', 'fireball', 'model', 'results', 'we', 'show', 'that', 'the', 'luminosity', 'functions', 'can', 'be', 'described', 'by', 'a', 'function', 'similar', 'to', 'a', 'log', 'normal', 'distribution', 'with', 'an', 'exponential', 'cutoff', 'the', 'function', 'parameters', 'are', 'frequency', 'dependent', 'but', 'not', 'very', 'dependent', 'on', 'the', 'model', 'parameter', 'distributions', 'used', 'to', 'create', 'the', 'virtual', 'populations', 'comparison', 'with', 'observations', 'shows', 'that', 'while', 'there', 'is', 'good', 'general', 'agreement', 'with', 'the', 'data', 'it', 'is', 'difficult', 'to', 'explain', 'simultaneously', 'the', 'xray', 'and', 'optical', 'data', 'possible', 'reasons', 'for', 'this', 'are', 'discussed', 'and', 'the', 'most', 'likely', 'one', 'is', 'that', 'the', 'standard', 'fireball', 'model', 'is', 'incomplete', 'and', 'that', 'decoupling', 'of', 'the', 'xray', 'and', 'optical', 'emission', 'mechanism', 'may', 'be', 'needed']] | [-0.022457960815083278, 0.12013755040929049, -0.10818221430219281, 0.16768479625321123, -0.09670143927736528, -0.11684472590481498, 0.03885514179951158, 0.46241176074863166, -0.2274085090197248, -0.3271242035874005, 0.06000881844157374, -0.2976051618280853, -0.04654263103402209, 0.2116311223733897, -0.03728966451057329, 0.026686099747292184, 0.07847728251597319, -0.03647921207607135, -0.040303499240163264, -0.23634688622296798, 0.30275454738808943, 0.10609197419607776, 0.2659333598704329, 0.0013197236507060542, 0.07807163393122261, -0.02292293704806656, -0.0523465388132013, -0.033925749174180043, -0.10847529105058652, 0.07859119142394984, 0.22105507190531953, 0.15921628139056693, 0.20010063406775824, -0.4102964537624998, -0.20744964600294485, 0.1304501138611472, 0.11160772182341751, 0.05959053521296116, -0.011061302614371538, -0.22374212349251169, 0.04914808193095906, -0.19828286245144133, -0.17955284808821248, -0.02000954254241339, 0.014404492257377026, 0.05024186085913619, -0.26695485001205116, 0.06938381501019868, -0.02056256306809962, 0.017816572923791307, -0.09375920604670891, -0.04011036747673141, -0.02119504478151225, 0.10167000788443283, 0.07320002876101704, 0.08100252140222396, 0.11803818696453477, -0.12868344023336667, -0.09453357055404588, 0.39790965842040277, -0.0802564206158464, -0.11557692129850045, 0.22422796160239597, -0.16307530650365884, -0.110844479381353, 0.09933710495416803, 0.15884662279859185, 0.07467317393733036, -0.1702893803260107, -0.006222543209594147, -0.022045126550124382, 0.21642964269066678, -0.019027896948030282, 0.031789827466921966, 0.21242962224173478, 0.1528279272553072, -0.021959541140702265, 0.12338369022840741, -0.1284275275331269, -0.04724529488902036, -0.31291248245785636, -0.08059572247552803, -0.16943130346052562, 0.021781373421889703, -0.12073480685582069, -0.15718657497701974, 0.4052187938995167, 0.1731651150748594, 0.2527199260015362, 0.07170459993676036, 0.30073711113608176, 0.1360774201684867, 0.10057649587818968, 0.09666619153274993, 0.2769135596316265, 0.07828524082513719, 0.07775467046638201, -0.19881440075542564, 0.1151167019190074, -0.026552158173698204] |
707.3433 | Integrable Lagrangians and modular forms | We investigate non-degenerate Lagrangians of the form
$$
\int f(u_x, u_y, u_t) dx dy dt
$$ such that the corresponding Euler-Lagrange equations
$
(f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0
$ are integrable by the method of hydrodynamic reductions. We demonstrate
that the integrability conditions, which constitute an involutive
over-determined system of fourth order PDEs for the Lagrangian density f, are
invariant under a 20-parameter group of Lie-point symmetries whose action on
the moduli space of integrable Lagrangians has an open orbit. The density of
the `master-Lagrangian' corresponding to this orbit is shown to be a modular
form in three variables defined on a complex hyperbolic ball. We demonstrate
how the knowledge of the symmetry group allows one to linearise the
integrability conditions.
| nlin.SI hep-th math.AG math.DG math.NT | we investigate nondegenerate lagrangians of the form int fu_x u_y u_t dx dy dt such that the corresponding eulerlagrange equations f_u_x_x f_u_y_y f_u_t_t0 are integrable by the method of hydrodynamic reductions we demonstrate that the integrability conditions which constitute an involutive overdetermined system of fourth order pdes for the lagrangian density f are invariant under a 20parameter group of liepoint symmetries whose action on the moduli space of integrable lagrangians has an open orbit the density of the masterlagrangian corresponding to this orbit is shown to be a modular form in three variables defined on a complex hyperbolic ball we demonstrate how the knowledge of the symmetry group allows one to linearise the integrability conditions | [['we', 'investigate', 'nondegenerate', 'lagrangians', 'of', 'the', 'form', 'int', 'fu_x', 'u_y', 'u_t', 'dx', 'dy', 'dt', 'such', 'that', 'the', 'corresponding', 'eulerlagrange', 'equations', 'f_u_x_x', 'f_u_y_y', 'f_u_t_t0', 'are', 'integrable', 'by', 'the', 'method', 'of', 'hydrodynamic', 'reductions', 'we', 'demonstrate', 'that', 'the', 'integrability', 'conditions', 'which', 'constitute', 'an', 'involutive', 'overdetermined', 'system', 'of', 'fourth', 'order', 'pdes', 'for', 'the', 'lagrangian', 'density', 'f', 'are', 'invariant', 'under', 'a', '20parameter', 'group', 'of', 'liepoint', 'symmetries', 'whose', 'action', 'on', 'the', 'moduli', 'space', 'of', 'integrable', 'lagrangians', 'has', 'an', 'open', 'orbit', 'the', 'density', 'of', 'the', 'masterlagrangian', 'corresponding', 'to', 'this', 'orbit', 'is', 'shown', 'to', 'be', 'a', 'modular', 'form', 'in', 'three', 'variables', 'defined', 'on', 'a', 'complex', 'hyperbolic', 'ball', 'we', 'demonstrate', 'how', 'the', 'knowledge', 'of', 'the', 'symmetry', 'group', 'allows', 'one', 'to', 'linearise', 'the', 'integrability', 'conditions']] | [-0.21490997468595402, 0.07855837900419133, -0.1019144500605762, 0.04807968435993603, -0.09912060473013569, -0.09471229795651796, -0.07568798394903105, 0.31087077745479774, -0.31064078314145943, -0.2075269994502132, 0.10908542699201519, -0.26661917320801354, -0.15554584673530347, 0.15530205980312448, -0.07003865971938951, 0.07223213787047982, 0.02500508791087447, 0.10227650986472564, -0.1409104595397104, -0.2617028068314802, 0.3914145638260084, -0.06935092746825502, 0.19038208447363195, -0.014689745094631336, 0.17870196083409562, -0.03393564721871469, 0.04824090059762737, -0.05476586234169542, -0.17149016839677053, 0.10331888034570592, 0.22257462733316127, 0.04328934064655154, 0.1940527809259423, -0.3854070136088643, -0.15169757864698097, 0.10071790081171973, 0.1014489535754127, 0.03146432133219498, 0.012709324348818612, -0.32162145964029404, 0.0612207750898895, -0.1326775768150886, -0.22068450201789405, -0.1155141345351129, 0.045344217030146905, 0.03500190467850582, -0.28463201137544875, 0.04858461774566823, 0.1007511003880535, 0.04966778069029789, -0.1179840150168627, -0.0733999510218079, -0.1009119533186963, 0.0349619478775977, 0.017869499153331726, 0.051694817702613166, 0.08274636348931806, -0.09761885278187021, -0.04690323481420139, 0.4223517694317543, -0.08146903441006502, -0.3071134907638167, 0.133068656414613, -0.1276710466649551, -0.1871752016883981, 0.13068286585411779, 0.15150030636069206, 0.14535164781468543, -0.1776045332453004, 0.2157967017485282, -0.08097513219098317, 0.10960287868930446, 0.07362753686469954, -0.00141494691808213, 0.12219546997693141, 0.10892008844058255, 0.10249264011797202, 0.08685970709445207, -0.010399227143844237, -0.1126597546217208, -0.36603319376438587, -0.17359061335079237, -0.11153854679333063, 0.138410630115719, -0.07425666842525741, -0.15061769031721317, 0.36603621199626374, 0.11607148651839108, 0.1581967217084188, 0.05764337746648806, 0.15851363814058336, 0.1754422210401285, 0.06405365328317054, 0.07554156792996165, 0.1815342862024769, 0.17448753348618812, 0.02558707012081737, -0.25059311284037594, -0.05125664664130356, 0.17770814118269193] |
707.3434 | Photons in polychromatic rotating modes | We propose a quantum theory of rotating light beams and study some of its
properties. Such beams are polychromatic and have either a slowly rotating
polarization or a slowly rotating transverse mode pattern. We show there are,
for both cases, three different natural types of modes that qualify as
rotating, one of which is a new type not previously considered. We discuss
differences between these three types of rotating modes on the one hand and
non-rotating modes as viewed from a rotating frame of reference on the other.
We present various examples illustrating the possible use of rotating photons,
mostly for quantum information processing purposes. We introduce in this
context a rotating version of the two-photon singlet state.
| quant-ph | we propose a quantum theory of rotating light beams and study some of its properties such beams are polychromatic and have either a slowly rotating polarization or a slowly rotating transverse mode pattern we show there are for both cases three different natural types of modes that qualify as rotating one of which is a new type not previously considered we discuss differences between these three types of rotating modes on the one hand and nonrotating modes as viewed from a rotating frame of reference on the other we present various examples illustrating the possible use of rotating photons mostly for quantum information processing purposes we introduce in this context a rotating version of the twophoton singlet state | [['we', 'propose', 'a', 'quantum', 'theory', 'of', 'rotating', 'light', 'beams', 'and', 'study', 'some', 'of', 'its', 'properties', 'such', 'beams', 'are', 'polychromatic', 'and', 'have', 'either', 'a', 'slowly', 'rotating', 'polarization', 'or', 'a', 'slowly', 'rotating', 'transverse', 'mode', 'pattern', 'we', 'show', 'there', 'are', 'for', 'both', 'cases', 'three', 'different', 'natural', 'types', 'of', 'modes', 'that', 'qualify', 'as', 'rotating', 'one', 'of', 'which', 'is', 'a', 'new', 'type', 'not', 'previously', 'considered', 'we', 'discuss', 'differences', 'between', 'these', 'three', 'types', 'of', 'rotating', 'modes', 'on', 'the', 'one', 'hand', 'and', 'nonrotating', 'modes', 'as', 'viewed', 'from', 'a', 'rotating', 'frame', 'of', 'reference', 'on', 'the', 'other', 'we', 'present', 'various', 'examples', 'illustrating', 'the', 'possible', 'use', 'of', 'rotating', 'photons', 'mostly', 'for', 'quantum', 'information', 'processing', 'purposes', 'we', 'introduce', 'in', 'this', 'context', 'a', 'rotating', 'version', 'of', 'the', 'twophoton', 'singlet', 'state']] | [-0.1321994652813774, 0.17729336653946567, -0.05368658272160801, 0.08429979648583143, -0.06318795080178306, -0.16038339819869626, 0.00572870850614351, 0.39324607300745734, -0.2166069235999958, -0.2627170402556658, 0.09890619737897226, -0.2766467101193207, -0.09899626188651044, 0.233596508929869, -0.0318978066532478, 0.010119563090453178, 0.043382003335124354, 0.04603314995607835, -0.07201699916346362, -0.1428208930666511, 0.35079959212107803, -0.029696003338558822, 0.2604514666008211, -0.057488253355910214, 0.06951377080986276, -0.009131880473124526, 0.0003472730967263549, 0.028852444883125564, -0.11638339845518142, 0.06078123418669516, 0.18652241872781414, 0.13981824951104316, 0.24308811077627085, -0.43969528549114023, -0.22237689688928047, 0.08906554015574314, 0.14961755460609635, 0.1984325651704902, -0.1299566921691205, -0.2514858995327505, 0.02678619311348993, -0.1638815944740091, -0.15199647223679508, -0.0916363215547497, 0.01685404243989516, 0.050595991682434865, -0.224009681228643, 0.042704367153820096, 0.09056387729429782, 0.05313154375496305, -0.03824337992434374, -0.0905273166027362, 0.0012986967132931923, 0.09881171509741916, 0.08357799746751217, 0.009861406405511612, 0.11633426060710671, -0.11567844125694769, -0.12938757383627658, 0.40730027406144953, -0.08115042116832367, -0.24689430052067263, 0.23248206861159307, -0.14956312046694112, -0.11173990087275851, 0.039540466568353826, 0.18374466211377186, 0.1928388188135321, -0.11102082135976624, -0.021952580666007727, -0.05039619500512036, 0.14931412977640027, 0.12691988700495685, 0.11182586868861848, 0.3004514440673135, 0.1484145930715663, -0.03046917750882932, 0.2065694889184916, -0.13614128710765203, -0.08390407699951508, -0.3091509563974657, -0.16549265182624429, -0.1079149859218949, 0.016307176169825882, -0.044932539996684145, -0.16498423746581806, 0.4291824658196104, 0.09256037832158855, 0.16996442899502562, -0.01613905348605871, 0.3074741105675318, 0.05678659653630486, 0.04075512261982313, 0.08945144045608655, 0.2955861919161457, 0.12541194326417932, 0.10522813167644002, -0.2020753904766703, -0.05804824902897038, 0.01744978207210868] |
707.3435 | A Knowledge-Based Analysis of Global Function Computation | Consider a distributed system N in which each agent has an input value and
each communication link has a weight. Given a global function, that is, a
function f whose value depends on the whole network, the goal is for every
agent to eventually compute the value f(N). We call this problem global
function computation. Various solutions for instances of this problem, such as
Boolean function computation, leader election, (minimum) spanning tree
construction, and network determination, have been proposed, each under
particular assumptions about what processors know about the system and how this
knowledge can be acquired. We give a necessary and sufficient condition for the
problem to be solvable that generalizes a number of well-known results. We then
provide a knowledge-based (kb) program (like those of Fagin, Halpern, Moses,
and Vardi) that solves global function computation whenever possible. Finally,
we improve the message overhead inherent in our initial kb program by giving a
counterfactual belief-based program that also solves the global function
computation whenever possible, but where agents send messages only when they
believe it is necessary to do so. The latter program is shown to be implemented
by a number of well-known algorithms for solving leader election.
| cs.DC cs.LO | consider a distributed system n in which each agent has an input value and each communication link has a weight given a global function that is a function f whose value depends on the whole network the goal is for every agent to eventually compute the value fn we call this problem global function computation various solutions for instances of this problem such as boolean function computation leader election minimum spanning tree construction and network determination have been proposed each under particular assumptions about what processors know about the system and how this knowledge can be acquired we give a necessary and sufficient condition for the problem to be solvable that generalizes a number of wellknown results we then provide a knowledgebased kb program like those of fagin halpern moses and vardi that solves global function computation whenever possible finally we improve the message overhead inherent in our initial kb program by giving a counterfactual beliefbased program that also solves the global function computation whenever possible but where agents send messages only when they believe it is necessary to do so the latter program is shown to be implemented by a number of wellknown algorithms for solving leader election | [['consider', 'a', 'distributed', 'system', 'n', 'in', 'which', 'each', 'agent', 'has', 'an', 'input', 'value', 'and', 'each', 'communication', 'link', 'has', 'a', 'weight', 'given', 'a', 'global', 'function', 'that', 'is', 'a', 'function', 'f', 'whose', 'value', 'depends', 'on', 'the', 'whole', 'network', 'the', 'goal', 'is', 'for', 'every', 'agent', 'to', 'eventually', 'compute', 'the', 'value', 'fn', 'we', 'call', 'this', 'problem', 'global', 'function', 'computation', 'various', 'solutions', 'for', 'instances', 'of', 'this', 'problem', 'such', 'as', 'boolean', 'function', 'computation', 'leader', 'election', 'minimum', 'spanning', 'tree', 'construction', 'and', 'network', 'determination', 'have', 'been', 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707.3436 | The CO Tully-Fisher Relation and Implications for the Host Galaxies of
High-Redshift Quasars | The integrated line width derived from CO spectroscopy provides a powerful
tool to study the internal kinematics of extragalactic objects, including
quasars at high redshift, provided that the observed line width can be properly
translated to more conventionally used kinematical parameters of galaxies. We
show, through construction of a K-band CO Tully-Fisher relation for nearby
galaxies spanning a wide range in infrared luminosity, that the CO line width
measured at 20% of the peak intensity, when corrected for inclination and other
effects, successfully recovers the maximum rotation velocity of the disk. The
line width at 50% of the peak intensity performs much more poorly, in large
part because CO lines have a wide range of profiles, which are shown to vary
systematically with infrared luminosity. We present a practical prescription
for converting observed CO line widths into the stellar velocity dispersion of
the bulge (sigma), and then apply it to a sample of low-redshift (z < 0.2) and
high-redshift (1.4 < z < 6.4) quasars to study their host galaxies. Nearby
quasars roughly fall on the correlation between black hole mass and bulge
stellar velocity dispersion established for inactive galaxies, but the host
galaxies of the high-z quasars systematically deviate from the local M_BH-sigma
relation. At a given sigma, high-z quasars have black hole masses larger by a
factor of 4 relative to local galaxies, suggesting that early in the life-cycle
of galaxies the development of the bulge lags behind the growth of the central
black hole. An alternative explanation for these observations, which currently
cannot be ruled out rigorously, is that high-redshift quasars are
preferentially viewed at face-on orientations.
| astro-ph | the integrated line width derived from co spectroscopy provides a powerful tool to study the internal kinematics of extragalactic objects including quasars at high redshift provided that the observed line width can be properly translated to more conventionally used kinematical parameters of galaxies we show through construction of a kband co tullyfisher relation for nearby galaxies spanning a wide range in infrared luminosity that the co line width measured at 20 of the peak intensity when corrected for inclination and other effects successfully recovers the maximum rotation velocity of the disk the line width at 50 of the peak intensity performs much more poorly in large part because co lines have a wide range of profiles which are shown to vary systematically with infrared luminosity we present a practical prescription for converting observed co line widths into the stellar velocity dispersion of the bulge sigma and then apply it to a sample of lowredshift z 02 and highredshift 14 z 64 quasars to study their host galaxies nearby quasars roughly fall on the correlation between black hole mass and bulge stellar velocity dispersion established for inactive galaxies but the host galaxies of the highz quasars systematically deviate from the local m_bhsigma relation at a given sigma highz quasars have black hole masses larger by a factor of 4 relative to local galaxies suggesting that early in the lifecycle of galaxies the development of the bulge lags behind the growth of the central black hole an alternative explanation for these observations which currently cannot be ruled out rigorously is that highredshift quasars are preferentially viewed at faceon orientations | [['the', 'integrated', 'line', 'width', 'derived', 'from', 'co', 'spectroscopy', 'provides', 'a', 'powerful', 'tool', 'to', 'study', 'the', 'internal', 'kinematics', 'of', 'extragalactic', 'objects', 'including', 'quasars', 'at', 'high', 'redshift', 'provided', 'that', 'the', 'observed', 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707.3437 | Genus Two Partition Functions of Extremal Conformal Field Theories | Recently Witten conjectured the existence of a family of "extremal" conformal
field theories (ECFTs) of central charge c=24k, which are supposed to be dual
to three-dimensional pure quantum gravity in AdS3. Assuming their existence, we
determine explicitly the genus two partition functions of k=2 and k=3 ECFTs,
using modular invariance and the behavior of the partition function in
degenerating limits of the Riemann surface. The result passes highly nontrivial
tests and in particular provides a piece of evidence for the existence of the
k=3 ECFT. We also argue that the genus two partition function of ECFTs with
k<11 are uniquely fixed (if they exist).
| hep-th | recently witten conjectured the existence of a family of extremal conformal field theories ecfts of central charge c24k which are supposed to be dual to threedimensional pure quantum gravity in ads3 assuming their existence we determine explicitly the genus two partition functions of k2 and k3 ecfts using modular invariance and the behavior of the partition function in degenerating limits of the riemann surface the result passes highly nontrivial tests and in particular provides a piece of evidence for the existence of the k3 ecft we also argue that the genus two partition function of ecfts with k11 are uniquely fixed if they exist | [['recently', 'witten', 'conjectured', 'the', 'existence', 'of', 'a', 'family', 'of', 'extremal', 'conformal', 'field', 'theories', 'ecfts', 'of', 'central', 'charge', 'c24k', 'which', 'are', 'supposed', 'to', 'be', 'dual', 'to', 'threedimensional', 'pure', 'quantum', 'gravity', 'in', 'ads3', 'assuming', 'their', 'existence', 'we', 'determine', 'explicitly', 'the', 'genus', 'two', 'partition', 'functions', 'of', 'k2', 'and', 'k3', 'ecfts', 'using', 'modular', 'invariance', 'and', 'the', 'behavior', 'of', 'the', 'partition', 'function', 'in', 'degenerating', 'limits', 'of', 'the', 'riemann', 'surface', 'the', 'result', 'passes', 'highly', 'nontrivial', 'tests', 'and', 'in', 'particular', 'provides', 'a', 'piece', 'of', 'evidence', 'for', 'the', 'existence', 'of', 'the', 'k3', 'ecft', 'we', 'also', 'argue', 'that', 'the', 'genus', 'two', 'partition', 'function', 'of', 'ecfts', 'with', 'k11', 'are', 'uniquely', 'fixed', 'if', 'they', 'exist']] | [-0.18547187356027559, 0.13838531362349527, -0.13179805165586564, 0.07996234633565809, -0.0659078980925887, -0.14311647228896618, -0.010716007612735176, 0.2764077545680965, -0.22130422466076338, -0.2636275018314616, 0.09030483921882339, -0.27797409269707996, -0.1773669397404704, 0.1624329128804115, -0.03816266539685715, 0.051567049482120916, -0.026385111411890157, 0.04735505196283786, -0.10346382020081644, -0.27975108604340887, 0.3815113411535724, -0.0358550803738091, 0.23957490508193865, 0.0984164053045858, 0.06604930627732895, 0.010673653442958871, 0.0314225971781595, 0.0028688474379193326, -0.16187882983796534, 0.09315422647789372, 0.2635309841559949, 0.0975058232434094, 0.13896454863089064, -0.40320031743389195, -0.1825241891022485, 0.14409530036097679, 0.11040418587016085, 0.04714143366772287, -0.03155184594708352, -0.20561172757655954, 0.0978201724736629, -0.1210682984137048, -0.21375025641016412, -0.07214614434633404, 0.033853939330303826, -0.020091544850192104, -0.20455753590795211, 0.029287031064506246, 0.05848003268385163, 0.04214751622818697, -0.06239092024938705, -0.07935722565833622, -0.11484232443259455, 0.12078753231057468, 0.08889900002843486, 0.07851709223065811, 0.0544614473474212, -0.16855837413682961, -0.1004271114949146, 0.3015490361470326, -0.06236512673170252, -0.23918924590711518, 0.1597082938712377, -0.18155549216093136, -0.1950156053241629, 0.11087060432160237, 0.07768155265456209, 0.19976118199813825, -0.06894198235666128, 0.17206729590151765, -0.0987888385111896, 0.10649278489514612, 0.1301255921403376, 0.018260205182461783, 0.2751356919761747, 0.05526847319113305, 0.03835220112859343, 0.16816275066118508, -0.039710934802245065, -0.08311239186486301, -0.3771819993405818, -0.19047974184930075, -0.17116564628892006, 0.14512121654787244, -0.13598261561086333, -0.21315721396464282, 0.39259205730363295, 0.06484343215099496, 0.15635095547216993, 0.1018290340580279, 0.15746913296886936, 0.11789285543804559, 0.04713277548972446, 0.0907463649681841, 0.2124246334177979, 0.16727685540144405, -0.05142060144190999, -0.19537085874505394, -0.03981875419133128, 0.17160896357829467] |
707.3438 | KAM Theorem and Renormalization Group | We give an elementary proof of the analytic KAM theorem by reducing it to a
Picard iteration of a PDE with quadratic nonlinearity, the so called Polchinski
renormalization group equation studied in quantum field theory.
| math-ph math.MP | we give an elementary proof of the analytic kam theorem by reducing it to a picard iteration of a pde with quadratic nonlinearity the so called polchinski renormalization group equation studied in quantum field theory | [['we', 'give', 'an', 'elementary', 'proof', 'of', 'the', 'analytic', 'kam', 'theorem', 'by', 'reducing', 'it', 'to', 'a', 'picard', 'iteration', 'of', 'a', 'pde', 'with', 'quadratic', 'nonlinearity', 'the', 'so', 'called', 'polchinski', 'renormalization', 'group', 'equation', 'studied', 'in', 'quantum', 'field', 'theory']] | [-0.1738320629910699, 0.0704833056948181, -0.2039359711642776, 0.08741156432245459, -0.13291815162769385, -0.2069067410858614, 0.03973075787736369, 0.22806971977863993, -0.2934224888682365, -0.23164576095129763, 0.06705390219909273, -0.26039903270346776, -0.1843309222471102, 0.19331017615539686, -0.12034336413655962, 0.058640869334340096, -0.013465546923024313, 0.051059028932026455, -0.06951979915611446, -0.29047455223543306, 0.321878333256713, -0.005290500171083424, 0.16973932639562658, 0.050186216924339534, 0.18844000162290675, 0.05651846694360886, -0.012432760798505374, -0.022734546900859902, -0.18116771935352258, 0.11114289425313473, 0.3181860790721008, 0.01786169122372355, 0.32936847654304335, -0.4277637797806944, -0.19000540770856397, 0.03792858930038554, 0.11941944303523216, 0.1478435796818563, -0.09508380080972399, -0.3069705248943397, 0.08203541121911258, -0.16496311146765946, -0.224477185215801, -0.11258411841200931, 0.002975341454813523, -0.0337344117462635, -0.20220960575555053, 0.020197327262056725, 0.10609071469267033, 0.14083878358027765, -0.023434091013457094, -0.014378012823207038, -0.016178123972245623, -0.05133083071559667, 0.08101074631725039, 0.026804885587521962, 0.11367834701335856, -0.10049956808132784, -0.09123197916362967, 0.31563627400568556, -0.06892166241471256, -0.23074139878153802, 0.0842865468335471, -0.06489413360665952, -0.14840575318251337, 0.12916041410395077, 0.09222782586917415, 0.16618925082896438, -0.09759685929332461, 0.24388715638113873, -0.09790695684828929, 0.13768048137426375, 0.07705925711031471, -0.04936243085456746, -0.014993122592568398, 0.09118890818208455, 0.12059616771127496, 0.10507298123889736, 0.0799869601215635, -0.15360783115029336, -0.35670194615210804, -0.1922142930328846, -0.1817561616322824, 0.17900342457994287, -0.11998713617878301, -0.21841527024017912, 0.37576260146285806, 0.09346982047760061, 0.1137913699128798, 0.0966530286706984, 0.24674530887444104, 0.24389681448893888, 0.04815834550453084, 0.06888780021773917, 0.2208123373532934, 0.2761356466649366, 0.03745537900498935, -0.227049936194505, -0.10610508042653756, 0.29773679182731677] |
707.3439 | The Standard Model prediction for R_{e/mu}^{(pi,K)} | We study the ratios R_{e/mu}^{(P)} = Gamma(P -> e nu [gamma])/Gamma(P -> mu
nu [gamma]) (P=pi,K) in Chiral Perturbation Theory to order e^2 p^4. We
complement the two-loop effective theory results with a matching calculation of
the counterterm, finding R_{e/mu}^{(pi)} = (1.2352 \pm 0.0001)*10^(-4) and
R_{e/mu}^{(K)} = (2.477 \pm 0.001)*10^(-5).
| hep-ph | we study the ratios r_emup gammap e nu gammagammap mu nu gamma ppik in chiral perturbation theory to order e2 p4 we complement the twoloop effective theory results with a matching calculation of the counterterm finding r_emupi 12352 pm 00001104 and r_emuk 2477 pm 0001105 | [['we', 'study', 'the', 'ratios', 'r_emup', 'gammap', 'e', 'nu', 'gammagammap', 'mu', 'nu', 'gamma', 'ppik', 'in', 'chiral', 'perturbation', 'theory', 'to', 'order', 'e2', 'p4', 'we', 'complement', 'the', 'twoloop', 'effective', 'theory', 'results', 'with', 'a', 'matching', 'calculation', 'of', 'the', 'counterterm', 'finding', 'r_emupi', '12352', 'pm', '00001104', 'and', 'r_emuk', '2477', 'pm', '0001105']] | [-0.19160862748200694, 0.14430157451092132, -0.08211564344708763, 0.036615802407530804, -0.00774274052431186, -0.10978892532598582, 0.07309647899542358, 0.29993814873021274, -0.11847265441680238, -0.278622114410003, -0.03949557699628973, -0.3917916214891842, -0.08583390590779129, 0.07200703707834084, 0.029097612769830795, 0.06192089266897667, -0.02999456013397624, 0.024339340316752594, -0.08218012313314137, -0.10395772662013769, 0.1575306474585973, 0.016247648499085613, 0.1565855359658599, 0.08982976151275493, -0.05857860351014616, -0.007936549738847784, -0.039871438938592164, -0.08783115774747871, -0.3282287278478699, 0.06887445292834725, 0.2340953102601426, -0.032090494520075265, 0.07295550168436464, -0.235644561438156, -0.04717352141493133, 0.12795272508325675, 0.13420445866705405, -0.0162985778990246, 0.05509627173610386, -0.26997981185004827, 0.17496094251761124, -0.21802421200222202, -0.16684368452323334, -0.09868074587679335, 0.08669956627168826, -0.13146614689668196, -0.37168678809844313, 0.10088197824509171, -0.06568052205035374, 0.03957578783766145, -0.03860006464778313, -0.2660305807810454, 0.006637248188434612, 0.016110579050811275, 0.10205149130030934, 0.20407184568743797, 0.10409725298883304, -0.08063833907778774, -0.1343910295039504, 0.4002376032017526, -0.13569556821104406, -0.135205543932638, 0.03951711484807588, -0.21675555855922757, -0.21852840449927108, 0.1634689133969091, 0.0825595214818826, 0.12647897441915812, -0.08502652283225741, 0.2007716019205483, 0.013526591001815783, 0.16122441588889896, 0.10492400689760134, -0.06041379387135662, 0.10506560469401025, 0.08712686267348804, 0.014304225000419788, -0.05442636577035522, -0.06879136249023889, 0.004212264725494953, -0.39685775501476156, -0.08951289776623958, -0.06631520513578185, 0.1467540076534663, -0.15041254490712336, -0.08802405918859654, 0.29082032774264616, 0.07107266964435223, 0.1844128791819371, 0.07810111033974126, 0.24413635845606527, 0.1753830915937821, -0.003111177079734348, 0.06809792700888855, 0.20617578298385655, 0.2226068483044704, 0.01536958129145205, -0.3149975717422508, -0.1201111321404044, 0.15001958519375572] |
707.344 | Tracing PAHs and Warm Dust Emission in the Seyfert Galaxy NGC 1068 | We present a study of the nearby Seyfert galaxy NGC 1068 using mid- and far-
infrared data acquired with the IRAC, IRS, and MIPS instruments aboard the
Spitzer Space Telescope. The images show extensive 8 um and 24 um emission
coinciding with star formation in the inner spiral approximately 15" (1 kpc)
from the nucleus, and a bright complex of star formation 47" (3 kpc) SW of the
nucleus. The brightest 8 um PAH emission regions coincide remarkably well with
knots observed in an Halpha image. Strong PAH features at 6.2, 7.7, 8.6, and
11.3 um are detected in IRS spectra measured at numerous locations inside,
within, and outside the inner spiral. The IRAC colors and IRS spectra of these
regions rule out dust heated by the AGN as the primary emission source; the
SEDs are dominated by starlight and PAH emission. The equivalent widths and
flux ratios of the PAH features in the inner spiral are generally consistent
with conditions in a typical spiral galaxy ISM. Interior to the inner spiral,
the influence of the AGN on the ISM is evident via PAH flux ratios indicative
of a higher ionization parameter and a significantly smaller mean equivalent
width than observed in the inner spiral. The brightest 8 and 24 um emission
peaks in the disk of the galaxy, even at distances beyond the inner spiral, are
located within the ionization cones traced by [O III]/Hbeta, and they are also
remarkably well aligned with the axis of the radio jets. Although it is
possible that radiation from the AGN may directly enhance PAH excitation or
trigger the formation of OB stars that subsequently excite PAH emission at
these locations in the inner spiral, the orientation of collimated radiation
from the AGN and star formation knots in the inner spiral could be
coincidental. (abridged)
| astro-ph | we present a study of the nearby seyfert galaxy ngc 1068 using mid and far infrared data acquired with the irac irs and mips instruments aboard the spitzer space telescope the images show extensive 8 um and 24 um emission coinciding with star formation in the inner spiral approximately 15 1 kpc from the nucleus and a bright complex of star formation 47 3 kpc sw of the nucleus the brightest 8 um pah emission regions coincide remarkably well with knots observed in an halpha image strong pah features at 62 77 86 and 113 um are detected in irs spectra measured at numerous locations inside within and outside the inner spiral the irac colors and irs spectra of these regions rule out dust heated by the agn as the primary emission source the seds are dominated by starlight and pah emission the equivalent widths and flux ratios of the pah features in the inner spiral are generally consistent with conditions in a typical spiral galaxy ism interior to the inner spiral the influence of the agn on the ism is evident via pah flux ratios indicative of a higher ionization parameter and a significantly smaller mean equivalent width than observed in the inner spiral the brightest 8 and 24 um emission peaks in the disk of the galaxy even at distances beyond the inner spiral are located within the ionization cones traced by o iiihbeta and they are also remarkably well aligned with the axis of the radio jets although it is possible that radiation from the agn may directly enhance pah excitation or trigger the formation of ob stars that subsequently excite pah emission at these locations in the inner spiral the orientation of collimated radiation from the agn and star formation knots in the inner spiral could be coincidental abridged | [['we', 'present', 'a', 'study', 'of', 'the', 'nearby', 'seyfert', 'galaxy', 'ngc', '1068', 'using', 'mid', 'and', 'far', 'infrared', 'data', 'acquired', 'with', 'the', 'irac', 'irs', 'and', 'mips', 'instruments', 'aboard', 'the', 'spitzer', 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707.3441 | CAL 87 - an evolved wind-driven supersoft X-ray binary | Compact binary supersoft X-ray sources (CBSS) are explained as being
associated with hydrostatic nuclear burning on the surface of a white dwarf
with high accretion rate. This high mass transfer rate has been suggested to be
caused by dynamical instability, expected when the donor star is more massive
than the accreting object. When the orbital period is smaller than ~6 hours,
this mechanism does not work and the CBSS with such periods are believed to be
fed by a distinct mechanism: the wind-driven accretion. Such a mechanism has
been proposed to explain the properties of objects like SMC 13, T Pyx and V617
Sgr. One observational property that offers a critical test for discriminating
between the above two possibilities is the orbital period change. As systems
with wind-driven accretion evolve with increasing periods, some of them may
reach quite long orbital periods. The above critical test may, therefore, also
be applied to orbital periods longer than 6 hours. CAL 87 is an eclipsing
system in the LMC with an orbital period of 10.6 hours that could provide the
opportunity for testing the hypothesis of the system being powered by
wind-driven accretion. We obtained eclipse timings for this system and show
that its orbital period increases with a rate of P/Pdot = +7.2(+/-1.3) X 10^{6}
years. Contrary to the common belief, we conclude that CAL 87 is the first
confirmed case of a wind-driven CBSS with an orbital period longer than 6
hours. The system is probably an evolved object that had an initial secondary
mass of M2i=0.63 solar masses but is currently reduced to about M2=0.34 solar
masses. We discuss evidence that other CBSS, like CAL 83 and V Sge stars, like
WX Cen, are probably also wind-driven systems. This may in fact be the rule,
and systems with inverted mass ratio, the exception.
| astro-ph | compact binary supersoft xray sources cbss are explained as being associated with hydrostatic nuclear burning on the surface of a white dwarf with high accretion rate this high mass transfer rate has been suggested to be caused by dynamical instability expected when the donor star is more massive than the accreting object when the orbital period is smaller than 6 hours this mechanism does not work and the cbss with such periods are believed to be fed by a distinct mechanism the winddriven accretion such a mechanism has been proposed to explain the properties of objects like smc 13 t pyx and v617 sgr one observational property that offers a critical test for discriminating between the above two possibilities is the orbital period change as systems with winddriven accretion evolve with increasing periods some of them may reach quite long orbital periods the above critical test may therefore also be applied to orbital periods longer than 6 hours cal 87 is an eclipsing system in the lmc with an orbital period of 106 hours that could provide the opportunity for testing the hypothesis of the system being powered by winddriven accretion we obtained eclipse timings for this system and show that its orbital period increases with a rate of ppdot 7213 x 106 years contrary to the common belief we conclude that cal 87 is the first confirmed case of a winddriven cbss with an orbital period longer than 6 hours the system is probably an evolved object that had an initial secondary mass of m2i063 solar masses but is currently reduced to about m2034 solar masses we discuss evidence that other cbss like cal 83 and v sge stars like wx cen are probably also winddriven systems this may in fact be the rule and systems with inverted mass ratio the exception | [['compact', 'binary', 'supersoft', 'xray', 'sources', 'cbss', 'are', 'explained', 'as', 'being', 'associated', 'with', 'hydrostatic', 'nuclear', 'burning', 'on', 'the', 'surface', 'of', 'a', 'white', 'dwarf', 'with', 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707.3442 | Combined Sum of Squares Penalties for Molecular Divergence Time
Estimation | Estimates of molecular divergence times when rates of evolution vary require
the assumption of a model of rate change. Brownian motion is one such model,
and since rates cannot become negative, a log Brownian model seems appropriate.
Divergence time estimates can then be made using weighted least squares
penalties. As sequences become long, this approach effectively becomes
equivalent to penalized likelihood or Bayesian approaches. Different forms of
the least squares penalty are considered to take into account correlation due
to shared ancestors. It is shown that a scale parameter is also needed since
the sum of squares changes with the scale of time. Errors or uncertainty on
fossil calibrations, may be folded in with errors due to the stochastic nature
of Brownian motion and ancestral polymorphism, giving a total sum of squares to
be minimized. Applying these methods to placental mammal data the estimated age
of the root decreases from 125 to about 94 mybp. However, multiple fossil
calibration points and relative molecular divergence times inflate the sum of
squares more than expected. If fossil data are also bootstrapped, then the
confidence interval for the root of placental mammals varies widely from ~70 to
130 mybp. Such a wide interval suggests that more and better fossil calibration
data is needed and/or better models of rate evolution are needed and/or better
molecular data are needed. Until these issues are thoroughly investigated, it
is premature to declare either the old molecular dates frequently obtained
(e.g. > 110 mybp) or the lack of identified placental fossils in the
Cretaceous, more indicative of when crown-group placental mammals evolved.
| q-bio.PE q-bio.GN q-bio.QM | estimates of molecular divergence times when rates of evolution vary require the assumption of a model of rate change brownian motion is one such model and since rates cannot become negative a log brownian model seems appropriate divergence time estimates can then be made using weighted least squares penalties as sequences become long this approach effectively becomes equivalent to penalized likelihood or bayesian approaches different forms of the least squares penalty are considered to take into account correlation due to shared ancestors it is shown that a scale parameter is also needed since the sum of squares changes with the scale of time errors or uncertainty on fossil calibrations may be folded in with errors due to the stochastic nature of brownian motion and ancestral polymorphism giving a total sum of squares to be minimized applying these methods to placental mammal data the estimated age of the root decreases from 125 to about 94 mybp however multiple fossil calibration points and relative molecular divergence times inflate the sum of squares more than expected if fossil data are also bootstrapped then the confidence interval for the root of placental mammals varies widely from 70 to 130 mybp such a wide interval suggests that more and better fossil calibration data is needed andor better models of rate evolution are needed andor better molecular data are needed until these issues are thoroughly investigated it is premature to declare either the old molecular dates frequently obtained eg 110 mybp or the lack of identified placental fossils in the cretaceous more indicative of when crowngroup placental mammals evolved | [['estimates', 'of', 'molecular', 'divergence', 'times', 'when', 'rates', 'of', 'evolution', 'vary', 'require', 'the', 'assumption', 'of', 'a', 'model', 'of', 'rate', 'change', 'brownian', 'motion', 'is', 'one', 'such', 'model', 'and', 'since', 'rates', 'can', 'not', 'become', 'negative', 'a', 'log', 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707.3443 | A New Technique for Galaxy Photometric Redshifts in the Sloan Digital
Sky Survey | Traditional photometric redshift methods use only color information about the
objects in question to estimate their redshifts. This paper introduces a new
method utilizing colors, luminosity, surface brightness, and radial light
profile to measure the redshifts of galaxies in the Sloan Digital Sky Survey
(SDSS). We take a statistical approach: distributions of galaxies from the SDSS
Large-Scale Structure (LSS; spectroscopic) sample are constructed at a range of
redshifts, and target galaxies are compared to these distributions. An adaptive
mesh is implemented to increase the percentage of the parameter space populated
by the LSS galaxies. We test the method on a subset of galaxies from the LSS
sample, yielding rms Delta-z of 0.025 for red galaxies and 0.030 for blue
galaxies (all with z < 0.25). Possible future improvements to this promising
technique are described, as is our ongoing work to extend the method to
galaxies at higher redshift.
| astro-ph | traditional photometric redshift methods use only color information about the objects in question to estimate their redshifts this paper introduces a new method utilizing colors luminosity surface brightness and radial light profile to measure the redshifts of galaxies in the sloan digital sky survey sdss we take a statistical approach distributions of galaxies from the sdss largescale structure lss spectroscopic sample are constructed at a range of redshifts and target galaxies are compared to these distributions an adaptive mesh is implemented to increase the percentage of the parameter space populated by the lss galaxies we test the method on a subset of galaxies from the lss sample yielding rms deltaz of 0025 for red galaxies and 0030 for blue galaxies all with z 025 possible future improvements to this promising technique are described as is our ongoing work to extend the method to galaxies at higher redshift | [['traditional', 'photometric', 'redshift', 'methods', 'use', 'only', 'color', 'information', 'about', 'the', 'objects', 'in', 'question', 'to', 'estimate', 'their', 'redshifts', 'this', 'paper', 'introduces', 'a', 'new', 'method', 'utilizing', 'colors', 'luminosity', 'surface', 'brightness', 'and', 'radial', 'light', 'profile', 'to', 'measure', 'the', 'redshifts', 'of', 'galaxies', 'in', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'we', 'take', 'a', 'statistical', 'approach', 'distributions', 'of', 'galaxies', 'from', 'the', 'sdss', 'largescale', 'structure', 'lss', 'spectroscopic', 'sample', 'are', 'constructed', 'at', 'a', 'range', 'of', 'redshifts', 'and', 'target', 'galaxies', 'are', 'compared', 'to', 'these', 'distributions', 'an', 'adaptive', 'mesh', 'is', 'implemented', 'to', 'increase', 'the', 'percentage', 'of', 'the', 'parameter', 'space', 'populated', 'by', 'the', 'lss', 'galaxies', 'we', 'test', 'the', 'method', 'on', 'a', 'subset', 'of', 'galaxies', 'from', 'the', 'lss', 'sample', 'yielding', 'rms', 'deltaz', 'of', '0025', 'for', 'red', 'galaxies', 'and', '0030', 'for', 'blue', 'galaxies', 'all', 'with', 'z', '025', 'possible', 'future', 'improvements', 'to', 'this', 'promising', 'technique', 'are', 'described', 'as', 'is', 'our', 'ongoing', 'work', 'to', 'extend', 'the', 'method', 'to', 'galaxies', 'at', 'higher', 'redshift']] | [-0.006207864140762257, 0.03759231717180426, -0.08815945006058025, 0.09992120130309126, -0.13135584046253238, -0.02836718842970068, 0.06383369113936337, 0.4721272818389393, -0.14092143667785792, -0.3472485526553577, 0.030166257849140538, -0.33373916076558013, -0.007103327768268761, 0.22706806988512374, -0.06401058176823822, 0.01701004312810849, 0.034901020864696326, -0.14334232549873643, -0.04041153538479552, -0.3586068637526537, 0.2988465199386384, 0.06659976070822805, 0.24431219737229198, -0.10653550922870636, 0.11396782231662854, -0.08083339378896619, -0.1466663798101905, -0.0006804374194320697, -0.19362083668040497, 0.046915559452914056, 0.29413041348892205, 0.15221608030850536, 0.2664238132970395, -0.24799969725159937, -0.17333862578914483, 0.1029525859357447, 0.21428402694778478, 0.11302437523037803, -0.07223901206621153, -0.311645437412116, 0.13489813137234055, -0.1600992803740613, -0.1570315200987519, 0.011234213674098862, -0.019369686464303915, 0.03903617797938942, -0.21588947228987568, 0.17290688054889541, -0.006065449468335327, 0.125318953255825, -0.0700070242695257, -0.12411400990015796, -0.06950890262877303, 0.08323726969055173, -0.025170320616464834, 0.12396221134897169, 0.16132113947311327, -0.1408350907145765, 0.00606665759645149, 0.40714518776556263, -0.033916028640169626, -0.020550466617759392, 0.1599049817859417, -0.17412571930548265, -0.15466243380192002, 0.08293807143931511, 0.23570305587039614, 0.11007344355287195, -0.16729176567184745, 0.03153817443899552, 0.024271256632494683, 0.22990106285999523, 0.0072413530869118005, 0.09410014091579079, 0.2740661585988591, 0.10819420149410461, 0.0959343496079677, 0.052002171591418435, -0.2469882078129849, 0.031604182665302814, -0.23850451240024598, -0.0772722102258177, -0.1732355827524257, 0.0588133126801374, -0.1530402389662475, -0.10994356307422831, 0.3818894156926394, 0.15393120809109742, 0.24533267163031666, 0.14112562506275922, 0.34947563654610087, 0.042939246613152175, 0.1287093814201083, 0.042856171253599785, 0.25996137231106864, 0.14064105661098092, 0.07252510720357096, -0.168919533526376, 0.012826096104952146, 0.02047588017002559] |
707.3444 | Quark and Lepton Masses from Gaussian Landscapes | The flavor structure of the Standard Model might arise from random selection
on a landscape. We propose a class of simple models, ``Gaussian landscapes,''
where Yukawa couplings derive from overlap integrals of Gaussian wavefunctions
on extra-dimensions. Statistics of vacua are generated by scanning the peak
positions of these zero-modes, giving probability distributions for all flavor
observables. Gaussian landscapes can broadly account for all observed flavor
patterns with very few free parameters. For example, the generation structure
in the quark sector follows from the overlap integrals for both the up and down
type Yukawas sharing the localized wavefunctions of the quark doublets and the
Higgs boson. Although Gaussian landscapes predict broad probability
distributions, the flavor observables are correlated and we show that
accounting for measured flavor parameters creates sharper distributions for
future neutrino measurements.
| hep-ph hep-th | the flavor structure of the standard model might arise from random selection on a landscape we propose a class of simple models gaussian landscapes where yukawa couplings derive from overlap integrals of gaussian wavefunctions on extradimensions statistics of vacua are generated by scanning the peak positions of these zeromodes giving probability distributions for all flavor observables gaussian landscapes can broadly account for all observed flavor patterns with very few free parameters for example the generation structure in the quark sector follows from the overlap integrals for both the up and down type yukawas sharing the localized wavefunctions of the quark doublets and the higgs boson although gaussian landscapes predict broad probability distributions the flavor observables are correlated and we show that accounting for measured flavor parameters creates sharper distributions for future neutrino measurements | [['the', 'flavor', 'structure', 'of', 'the', 'standard', 'model', 'might', 'arise', 'from', 'random', 'selection', 'on', 'a', 'landscape', 'we', 'propose', 'a', 'class', 'of', 'simple', 'models', 'gaussian', 'landscapes', 'where', 'yukawa', 'couplings', 'derive', 'from', 'overlap', 'integrals', 'of', 'gaussian', 'wavefunctions', 'on', 'extradimensions', 'statistics', 'of', 'vacua', 'are', 'generated', 'by', 'scanning', 'the', 'peak', 'positions', 'of', 'these', 'zeromodes', 'giving', 'probability', 'distributions', 'for', 'all', 'flavor', 'observables', 'gaussian', 'landscapes', 'can', 'broadly', 'account', 'for', 'all', 'observed', 'flavor', 'patterns', 'with', 'very', 'few', 'free', 'parameters', 'for', 'example', 'the', 'generation', 'structure', 'in', 'the', 'quark', 'sector', 'follows', 'from', 'the', 'overlap', 'integrals', 'for', 'both', 'the', 'up', 'and', 'down', 'type', 'yukawas', 'sharing', 'the', 'localized', 'wavefunctions', 'of', 'the', 'quark', 'doublets', 'and', 'the', 'higgs', 'boson', 'although', 'gaussian', 'landscapes', 'predict', 'broad', 'probability', 'distributions', 'the', 'flavor', 'observables', 'are', 'correlated', 'and', 'we', 'show', 'that', 'accounting', 'for', 'measured', 'flavor', 'parameters', 'creates', 'sharper', 'distributions', 'for', 'future', 'neutrino', 'measurements']] | [-0.07299722960792986, 0.25858163930207867, -0.06553289382123298, 0.200322783384052, -0.038274132431295696, -0.17250319854601434, 0.07181606623974342, 0.3747366640464704, -0.22417438976445647, -0.2877273321242765, -0.00041348195050079796, -0.2609975439797443, -0.07132976301560613, 0.1389775070557861, 0.025821933816922337, 0.06001505200970827, 0.06204216622421868, -0.028262597844844924, -0.07896507746904136, -0.2002129394708103, 0.3313260487511866, 0.00232713670938983, 0.2893731943296647, 0.03601350630388448, 0.06324693613993775, 0.01964879579688037, -0.058917026966810226, -0.06601950381199752, -0.1129953722869194, 0.09607380078020121, 0.17705106308467225, 0.09662881406038103, 0.1260255939236149, -0.37151064727931543, -0.24216420554443913, 0.14746354876569284, 0.15011436821318658, 0.14697285511888059, -0.05097083678588103, -0.3154066981243572, 0.023391336428012027, -0.15683249142559252, -0.1421985872636052, -0.12381545437107745, -0.05607149895994847, 0.02227106998513516, -0.3391890341767873, 0.11559842472994014, -0.04970802836246172, 0.02039487820286724, -0.016163681763315334, -0.20271567180420139, -0.06696091238339257, 0.08342436449322149, 0.09406642857291281, -0.03452404852102237, 0.146115536202372, -0.2142351854599564, -0.1490628644824028, 0.40173089992661115, -0.05446551882056169, -0.21063124926067553, 0.13249164545397393, -0.1922885788485576, -0.15150149774044416, 0.1157792503840493, 0.17865708015186893, 0.07157176573186609, -0.17141335293575352, 0.13609231289526924, -0.043385562448433244, 0.12049883543828824, 0.06996122336617314, 0.077660234249372, 0.28470973540937766, 0.10561629341778703, 0.05976492880153841, 0.06036842102797604, -0.11093540834543064, -0.16338673721354707, -0.3761278966343717, -0.050009943357549776, -0.13932741694047318, 0.062481235740776346, -0.11924553219514769, -0.17319138573230544, 0.4784110344498229, 0.10255305171958205, 0.24678936748086175, 0.06315715892653548, 0.20627417479802793, 0.10812641907031682, 0.08163256031510077, 0.03215421852130527, 0.1823434505149498, 0.13042718374355927, 0.07360210922403135, -0.17866728711992333, 0.031184694474156862, 0.049030983190339314] |
707.3445 | Void Statistics in Large Galaxy Redshift Surveys: Does Halo Occupation
of Field Galaxies Depend on Environment? | We use measurements of the projected galaxy correlation function w_p and
galaxy void statistics to test whether the galaxy content of halos of fixed
mass is systematically different in low density environments. We present new
measurements of the void probability function (VPF) and underdensity
probability function (UPF) from Data Release Four of the Sloan Digital Sky
Survey, as well as new measurements of the VPF from the full data release of
the Two-Degree Field Galaxy Redshift Survey. We compare these measurements to
predictions calculated from models of the Halo Occupation Distribution (HOD)
that are constrained to match both w_p and the space density of galaxies. The
standard implementation of the HOD assumes that galaxy occupation depends on
halo mass only, and is independent of local environment. For luminosity-defined
samples, we find that the standard HOD prediction is a good match to the
observations, and the data exclude models in which galaxy formation efficiency
is reduced in low-density environments. More remarkably, we find that the void
statistics of red and blue galaxies (at L ~ 0.4L_*) are perfectly predicted by
standard HOD models matched to the correlation function of these samples,
ruling out "assembly bias" models in which galaxy color is correlated with
large-scale environment at fixed halo mass. We conclude that the luminosity and
color of field galaxies are determined predominantly by the mass of the halo in
which they reside and have little direct dependence on the environment in which
the host halo formed. In broader terms, our results show that the sizes and
emptiness of voids found in the distribution of L > 0.2L_* galaxies are in
excellent agreement with the predictions of a standard cosmological model with
a simple connection between galaxies and dark matter halos. (abridged)
| astro-ph | we use measurements of the projected galaxy correlation function w_p and galaxy void statistics to test whether the galaxy content of halos of fixed mass is systematically different in low density environments we present new measurements of the void probability function vpf and underdensity probability function upf from data release four of the sloan digital sky survey as well as new measurements of the vpf from the full data release of the twodegree field galaxy redshift survey we compare these measurements to predictions calculated from models of the halo occupation distribution hod that are constrained to match both w_p and the space density of galaxies the standard implementation of the hod assumes that galaxy occupation depends on halo mass only and is independent of local environment for luminositydefined samples we find that the standard hod prediction is a good match to the observations and the data exclude models in which galaxy formation efficiency is reduced in lowdensity environments more remarkably we find that the void statistics of red and blue galaxies at l 04l_ are perfectly predicted by standard hod models matched to the correlation function of these samples ruling out assembly bias models in which galaxy color is correlated with largescale environment at fixed halo mass we conclude that the luminosity and color of field galaxies are determined predominantly by the mass of the halo in which they reside and have little direct dependence on the environment in which the host halo formed in broader terms our results show that the sizes and emptiness of voids found in the distribution of l 02l_ galaxies are in excellent agreement with the predictions of a standard cosmological model with a simple connection between galaxies and dark matter halos abridged | [['we', 'use', 'measurements', 'of', 'the', 'projected', 'galaxy', 'correlation', 'function', 'w_p', 'and', 'galaxy', 'void', 'statistics', 'to', 'test', 'whether', 'the', 'galaxy', 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707.3446 | Statistical Understanding of Quark and Lepton Masses in Gaussian
Landscapes | The fundamental theory of nature may allow a large landscape of vacua. Even
if the theory contains a unified gauge symmetry, the 22 flavor parameters of
the Standard Model, including neutrino masses, may be largely determined by the
statistics of this landscape, and not by any symmetry. Then the measured values
of the flavor parameters do not lead to any fundamental symmetries, but are
statistical accidents; their precise values do not provide any insights into
the fundamental theory, rather the overall pattern of flavor reflects the
underlying landscape. We investigate whether random selection from the
statistics of a simple landscape can explain the broad patterns of quark,
charged lepton, and neutrino masses and mixings. We propose Gaussian landscapes
as simplified models of landscapes where Yukawa couplings result from overlap
integrals of zero-mode wavefunctions in higher-dimensional supersymmetric gauge
theories. In terms of just five free parameters, such landscapes can account
for all gross features of flavor, including: the hierarchy of quark and charged
lepton masses; small quark mixing angles, with 13 mixing less than 12 and 23
mixing; very light Majorana neutrino masses, with the solar to atmospheric
neutrino mass ratio consistent with data; distributions for leptonic 12 and 23
mixings that are peaked at large values, while the distribution for 13 mixing
is peaked at low values; and order unity CP violating phases in both the quark
and lepton sectors. While the statistical distributions for flavor parameters
are broad, the distributions are robust to changes in the geometry of the extra
dimensions. Constraining the distributions by loose cuts about observed values
leads to narrower distributions for neutrino measurements of 13 mixing, CP
violation, and neutrinoless double beta decay.
| hep-ph hep-th | the fundamental theory of nature may allow a large landscape of vacua even if the theory contains a unified gauge symmetry the 22 flavor parameters of the standard model including neutrino masses may be largely determined by the statistics of this landscape and not by any symmetry then the measured values of the flavor parameters do not lead to any fundamental symmetries but are statistical accidents their precise values do not provide any insights into the fundamental theory rather the overall pattern of flavor reflects the underlying landscape we investigate whether random selection from the statistics of a simple landscape can explain the broad patterns of quark charged lepton and neutrino masses and mixings we propose gaussian landscapes as simplified models of landscapes where yukawa couplings result from overlap integrals of zeromode wavefunctions in higherdimensional supersymmetric gauge theories in terms of just five free parameters such landscapes can account for all gross features of flavor including the hierarchy of quark and charged lepton masses small quark mixing angles with 13 mixing less than 12 and 23 mixing very light majorana neutrino masses with the solar to atmospheric neutrino mass ratio consistent with data distributions for leptonic 12 and 23 mixings that are peaked at large values while the distribution for 13 mixing is peaked at low values and order unity cp violating phases in both the quark and lepton sectors while the statistical distributions for flavor parameters are broad the distributions are robust to changes in the geometry of the extra dimensions constraining the distributions by loose cuts about observed values leads to narrower distributions for neutrino measurements of 13 mixing cp violation and neutrinoless double beta decay | [['the', 'fundamental', 'theory', 'of', 'nature', 'may', 'allow', 'a', 'large', 'landscape', 'of', 'vacua', 'even', 'if', 'the', 'theory', 'contains', 'a', 'unified', 'gauge', 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707.3447 | Prediction for the Lightest Higgs Boson Mass in the CMSSM using Indirect
Experimental Constraints | Measurements at low energies provide interesting indirect information about
masses of particles that are (so far) too heavy to be produced directly.
Motivated by recent progress in consistently and rigorously calculating
electroweak precision observables and flavour related observables, we derive
the preferred value for m_h in the Constrained Minimal Supersymmetric Standard
Model (CMSSM), obtained from a fit taking into account electroweak precision
data, flavour physics observables and the abundance of Cold Dark Matter. No
restriction is imposed on m_h itself: the experimental bound from direct Higgs
boson search at LEP is not included in the fit. A multi-parameter chi^2 is
minimized with respect to the free parameters of the CMSSM, M_0, M_1/2, A_0,
tan(beta). A statistical comparison with the Standard Model fit to the
electroweak precision data is made. The preferred value for the lightest Higgs
boson mass in the CMSSM is found to be m_h^CMSSM = 110+8-10(exp.)+-3(theo.)
GeV/c^2, where the first uncertainty is experimental and the second uncertainty
is theoretical. This value is in agreement with the limit from direct Higgs
boson search at LEP.
| hep-ph | measurements at low energies provide interesting indirect information about masses of particles that are so far too heavy to be produced directly motivated by recent progress in consistently and rigorously calculating electroweak precision observables and flavour related observables we derive the preferred value for m_h in the constrained minimal supersymmetric standard model cmssm obtained from a fit taking into account electroweak precision data flavour physics observables and the abundance of cold dark matter no restriction is imposed on m_h itself the experimental bound from direct higgs boson search at lep is not included in the fit a multiparameter chi2 is minimized with respect to the free parameters of the cmssm m_0 m_12 a_0 tanbeta a statistical comparison with the standard model fit to the electroweak precision data is made the preferred value for the lightest higgs boson mass in the cmssm is found to be m_hcmssm 110810exp3theo gevc2 where the first uncertainty is experimental and the second uncertainty is theoretical this value is in agreement with the limit from direct higgs boson search at lep | [['measurements', 'at', 'low', 'energies', 'provide', 'interesting', 'indirect', 'information', 'about', 'masses', 'of', 'particles', 'that', 'are', 'so', 'far', 'too', 'heavy', 'to', 'be', 'produced', 'directly', 'motivated', 'by', 'recent', 'progress', 'in', 'consistently', 'and', 'rigorously', 'calculating', 'electroweak', 'precision', 'observables', 'and', 'flavour', 'related', 'observables', 'we', 'derive', 'the', 'preferred', 'value', 'for', 'm_h', 'in', 'the', 'constrained', 'minimal', 'supersymmetric', 'standard', 'model', 'cmssm', 'obtained', 'from', 'a', 'fit', 'taking', 'into', 'account', 'electroweak', 'precision', 'data', 'flavour', 'physics', 'observables', 'and', 'the', 'abundance', 'of', 'cold', 'dark', 'matter', 'no', 'restriction', 'is', 'imposed', 'on', 'm_h', 'itself', 'the', 'experimental', 'bound', 'from', 'direct', 'higgs', 'boson', 'search', 'at', 'lep', 'is', 'not', 'included', 'in', 'the', 'fit', 'a', 'multiparameter', 'chi2', 'is', 'minimized', 'with', 'respect', 'to', 'the', 'free', 'parameters', 'of', 'the', 'cmssm', 'm_0', 'm_12', 'a_0', 'tanbeta', 'a', 'statistical', 'comparison', 'with', 'the', 'standard', 'model', 'fit', 'to', 'the', 'electroweak', 'precision', 'data', 'is', 'made', 'the', 'preferred', 'value', 'for', 'the', 'lightest', 'higgs', 'boson', 'mass', 'in', 'the', 'cmssm', 'is', 'found', 'to', 'be', 'm_hcmssm', '110810exp3theo', 'gevc2', 'where', 'the', 'first', 'uncertainty', 'is', 'experimental', 'and', 'the', 'second', 'uncertainty', 'is', 'theoretical', 'this', 'value', 'is', 'in', 'agreement', 'with', 'the', 'limit', 'from', 'direct', 'higgs', 'boson', 'search', 'at', 'lep']] | [-0.03483693178936925, 0.21385007327411734, -0.05289812015929405, 0.1710388775116823, -0.11771877906944689, -0.16398543586168504, 0.06929451518293707, 0.3307150501819769, -0.2147989973810776, -0.3423021194983322, 0.05712569972050694, -0.2689659123933427, 0.07359954758918699, 0.18144554855447328, 0.014544003715770954, 0.1214225975348415, 0.10198312058151199, 0.03843179402346023, -0.08225559925585124, -0.24604748307883395, 0.24811792903380586, 0.06660699652847053, 0.18819935960598247, 0.06688358166491926, 0.027460132887037848, -0.004321430910397536, -0.022710912548694652, -0.06292503937268684, -0.1996949777356433, 0.10743818980388645, 0.2020077556761983, 0.08593352888899215, 0.11658233525689067, -0.29726478737655143, -0.1544950607049715, 0.1907896266528809, 0.13094037248230825, 0.08350220721785646, -0.07764026688242255, -0.34281092670051694, 0.07089623816464785, -0.17878468717566848, -0.09617025643920882, -0.0632313033020813, -0.06855072608389864, -0.14083353983779368, -0.36294841358029, 0.14842081825939313, -0.10374747032691278, 0.036682888887004356, 0.0027258356614576684, -0.19957659009041942, -0.08963565517895225, -0.0038653506622838146, 0.16192323533478972, 0.040609933769012764, 0.18029146544457644, -0.19239504302238153, -0.12084202958348966, 0.43881173989590194, -0.06972866870242177, -0.1623844471437092, 0.11931436813188814, -0.17921777838851846, -0.1763029651705585, 0.13196776364257054, 0.1539932225933137, 0.03261573567200517, -0.16886819234774636, 0.22329165715999455, -0.05627803083218505, 0.20945936968991521, 0.02700166645152979, 0.019038427784267443, 0.2803391983915616, 0.2165850743764441, 0.051540075860529964, -0.002374280813403126, -0.05975071103931162, -0.11213305718507725, -0.4293340003236353, -0.09684273764131741, -0.10808450908459336, 0.008227727592016322, -0.08328907494870623, -0.04584311604139131, 0.33160532781089835, 0.1723826665651979, 0.2999955518574944, 0.05119687448810205, 0.3454727215014097, 0.10119244915391507, 0.09749959880954484, 0.005937950326280529, 0.39040243203854025, 0.12251999228519812, 0.08212199205844906, -0.19253248012388485, 0.02589850504600007, 0.05243348428774948] |
707.3448 | Central limit theorems for multiple Skorohod integrals | In this paper, we prove a central limit theorem for a sequence of iterated
Shorohod integrals using the techniques of Malliavin calculus. The convergence
is stable, and the limit is a conditionally Gaussian random variable. Some
applications to sequences of multiple stochastic integrals, and renormalized
weighted Hermite variations of the fractional Brownian motion are discussed.
| math.PR | in this paper we prove a central limit theorem for a sequence of iterated shorohod integrals using the techniques of malliavin calculus the convergence is stable and the limit is a conditionally gaussian random variable some applications to sequences of multiple stochastic integrals and renormalized weighted hermite variations of the fractional brownian motion are discussed | [['in', 'this', 'paper', 'we', 'prove', 'a', 'central', 'limit', 'theorem', 'for', 'a', 'sequence', 'of', 'iterated', 'shorohod', 'integrals', 'using', 'the', 'techniques', 'of', 'malliavin', 'calculus', 'the', 'convergence', 'is', 'stable', 'and', 'the', 'limit', 'is', 'a', 'conditionally', 'gaussian', 'random', 'variable', 'some', 'applications', 'to', 'sequences', 'of', 'multiple', 'stochastic', 'integrals', 'and', 'renormalized', 'weighted', 'hermite', 'variations', 'of', 'the', 'fractional', 'brownian', 'motion', 'are', 'discussed']] | [-0.1476904313183493, 0.10829779904128777, -0.1379890885307557, 0.13277079607575648, -0.052275643649476546, -0.062066063332302426, 0.06338168544850002, 0.35626395971134855, -0.35225797699833356, -0.16549716141350843, 0.165538401495993, -0.24841832133285977, -0.1758091918848179, 0.20201189333090075, -0.1811781103067376, 0.11598396364435623, 0.0871691105507866, 0.025038080979828483, -0.040163503494113684, -0.24905937585841725, 0.3049399306376775, -0.06591071028917751, 0.17418890218767855, -0.03268104877874807, 0.15104270905808168, 0.05829900168572311, -0.10452602201796792, -0.031534154106069495, -0.11468171706871579, 0.1890665359398419, 0.21646338799123274, -0.002310892795557501, 0.3687603729949505, -0.3525410468250306, -0.1678241948010745, 0.14462178781697596, 0.15683328769874708, 0.04782456635600991, 0.0242259619128028, -0.28929574325404783, 0.07128530107783498, -0.12562218598840344, -0.19366913509589653, -0.1106584340342562, 0.02676165307423583, 0.16321870094786087, -0.3365941531266327, 0.08904316612622803, 0.14402720759864207, 0.04612890970720737, -0.0452716781637045, -0.10882052258346919, 0.039017739722988116, 0.06342768334542159, 0.04265147474318467, -0.006832811058740373, 0.14375610778073747, -0.07242760180788874, -0.1841721071827191, 0.31047274653489393, -0.11880070864895566, -0.2881050073990115, 0.09918160902129279, -0.15513770573737998, -0.21368616578790048, 0.1268066186112938, 0.09855019213217828, 0.2117155980732706, -0.20356269718872178, 0.14177632681740862, -0.0017967539563499115, 0.0675312038855972, 0.13744837025835835, 0.05289237090834865, 0.12168734141246036, 0.12948006025894923, 0.1084503408141986, 0.14770213151523084, -0.10393655772700354, -0.20104151919346164, -0.34282298350848983, -0.1892787481278733, -0.19886981247475854, 0.06785210887729018, -0.19384922172509875, -0.2455187857289005, 0.32513908700396615, 0.13150427812124016, 0.1349758332491749, 0.15380194629714997, 0.24827538044364364, 0.26531567990227983, -0.04009876750987368, 0.032303262432968174, 0.111792716633688, 0.24662838407136775, 0.13596316135522943, -0.13405497420225637, 0.02238103469695758, 0.184850971365382] |
707.3449 | Zero-automatic queues and product form | We introduce and study a new model: 0-automatic queues. Roughly, 0-automatic
queues are characterized by a special buffering mechanism evolving like a
random walk on some infinite group or monoid. The salient result is that all
stable 0-automatic queues have a product form stationary distribution and a
Poisson output process. When considering the two simplest and extremal cases of
0-automatic queues, we recover the simple M/M/1 queue, and Gelenbe's G-queue
with positive and negative customers.
| cs.DM | we introduce and study a new model 0automatic queues roughly 0automatic queues are characterized by a special buffering mechanism evolving like a random walk on some infinite group or monoid the salient result is that all stable 0automatic queues have a product form stationary distribution and a poisson output process when considering the two simplest and extremal cases of 0automatic queues we recover the simple mm1 queue and gelenbes gqueue with positive and negative customers | [['we', 'introduce', 'and', 'study', 'a', 'new', 'model', '0automatic', 'queues', 'roughly', '0automatic', 'queues', 'are', 'characterized', 'by', 'a', 'special', 'buffering', 'mechanism', 'evolving', 'like', 'a', 'random', 'walk', 'on', 'some', 'infinite', 'group', 'or', 'monoid', 'the', 'salient', 'result', 'is', 'that', 'all', 'stable', '0automatic', 'queues', 'have', 'a', 'product', 'form', 'stationary', 'distribution', 'and', 'a', 'poisson', 'output', 'process', 'when', 'considering', 'the', 'two', 'simplest', 'and', 'extremal', 'cases', 'of', '0automatic', 'queues', 'we', 'recover', 'the', 'simple', 'mm1', 'queue', 'and', 'gelenbes', 'gqueue', 'with', 'positive', 'and', 'negative', 'customers']] | [-0.18216899186627913, 0.1565825960611644, -0.05317466666488207, 0.07997012420247762, -0.06694282623875426, -0.2682214073186153, 0.10409741093123918, 0.385119449398289, -0.26731116386538706, -0.205499375698297, 0.14840265224394325, -0.28575651835305743, -0.11948862234577026, 0.09585991388901252, -0.09292364327160463, 0.03582787319813689, 0.07522224361548992, 0.09695285686278997, 0.052151553297721566, -0.25685671942423366, 0.3480029591958817, 0.01913304182888991, 0.2694549266861318, -0.03369329761943384, 0.14122173123776097, 0.018308548798963223, -0.013374883565120399, 0.011992325813505338, -0.12025389599556834, 0.019544841568559818, 0.2165880114580058, 0.06778097481224431, 0.24307639509031218, -0.4039838849630666, -0.1912149741276078, 0.126918096956478, 0.12532389961336166, 0.04236542586275466, -0.01753923718096714, -0.25024316311903194, 0.11675791285472782, -0.23377727941061333, -0.09276977163254704, -0.014870774256039972, 0.009346366968414146, 0.0890834195481945, -0.2724100584802154, -0.011022250053204903, 0.09736374069056282, -0.009567273500030988, -0.07735595727269219, -0.10920869910528194, -0.017651260294632553, 0.13080650309861433, 0.05212037280091875, -0.06641044238524843, 0.12344319198586762, -0.06070133968422266, -0.13777638987114985, 0.35344907039240614, -0.07236694084633499, -0.20789378884006038, 0.15591606631721944, -0.10564137440914773, -0.20444953428224139, 0.1136960262920682, 0.16219189595941402, 0.12782594700318392, -0.1543655331569089, 0.044061264988794056, -0.12989439704289582, 0.07190286411508305, 0.14947753869737052, 0.002690116804705499, 0.15710734237266116, 0.17373049462354448, 0.09003901978705894, 0.19727273460171402, -0.00255165834654416, -0.1807462932360167, -0.2778661738545315, -0.1539357841997216, -0.13380460072570313, 0.11228242183218978, -0.15215125124266032, -0.20368643110133197, 0.3504156970884651, 0.053798786823778116, 0.20573724380834665, 0.17739873907643638, 0.27069787926053346, 0.1326966073638313, -0.02616489443876972, 0.17398180489185944, 0.00150247771262625, 0.11591908116569768, 0.08235854133070536, -0.09888734000620164, 0.11489268871381471, 0.057052148002110524] |
707.345 | Stability and intersection properties of solutions to the nonlinear
biharmonic equation | We study the positive, regular, radially symmetric solutions to the nonlinear
biharmonic equation $\Delta^2 \phi = \phi^p$. First, we show that there exists
a critical value $p_c$, depending on the space dimension, such that the
solutions are linearly unstable if $p<p_c$ and linearly stable if $p\geq p_c$.
Then, we focus on the supercritical case $p\geq p_c$ and we show that the
graphs of no two solutions intersect one another.
| math.AP | we study the positive regular radially symmetric solutions to the nonlinear biharmonic equation delta2 phi phip first we show that there exists a critical value p_c depending on the space dimension such that the solutions are linearly unstable if pp_c and linearly stable if pgeq p_c then we focus on the supercritical case pgeq p_c and we show that the graphs of no two solutions intersect one another | [['we', 'study', 'the', 'positive', 'regular', 'radially', 'symmetric', 'solutions', 'to', 'the', 'nonlinear', 'biharmonic', 'equation', 'delta2', 'phi', 'phip', 'first', 'we', 'show', 'that', 'there', 'exists', 'a', 'critical', 'value', 'p_c', 'depending', 'on', 'the', 'space', 'dimension', 'such', 'that', 'the', 'solutions', 'are', 'linearly', 'unstable', 'if', 'pp_c', 'and', 'linearly', 'stable', 'if', 'pgeq', 'p_c', 'then', 'we', 'focus', 'on', 'the', 'supercritical', 'case', 'pgeq', 'p_c', 'and', 'we', 'show', 'that', 'the', 'graphs', 'of', 'no', 'two', 'solutions', 'intersect', 'one', 'another']] | [-0.20404441727955333, 0.1960384802043657, -0.0497405136908021, 0.06161870306481004, -0.0376102029113099, -0.2217480380238746, 0.002461515065720853, 0.36685782991459265, -0.26369027052458155, -0.0991144056623692, 0.1222875153317171, -0.3707143933895756, -0.1841281338882468, 0.17323566460981965, 0.04309394429711735, 0.039591952110640705, 0.03998558108201798, 0.12643284650574274, -0.05287351956738295, -0.2632164717377985, 0.42584578500485376, -0.14794083873344147, 0.21932139795492678, 0.06960884835023214, 0.07700001155300175, -0.031643382725579774, 0.10644480099846773, 0.05555383766520262, -0.3022123646137248, -0.009190834120518583, 0.19530111864921362, 0.09254540491041124, 0.28291922194116254, -0.341720562428236, -0.15178273456609426, 0.24240618616835596, 0.14454243039054906, 0.06477226010140251, -0.057602782889957516, -0.21907945612431778, 0.1728028573356021, -0.054653118498048145, -0.2105398553505759, -0.06551196900032022, 0.12597505266175552, 0.0355878979590831, -0.28054889588726356, 0.08335089580813314, 0.1316662451854962, -0.01626265117460314, -0.13185758885639884, -0.1403049175415243, -0.0783141812451718, 0.05343765311237589, 0.045795546324156666, 0.07551888430059668, 0.03510410401641446, -0.12390765512142987, -0.07155377685558051, 0.3263306885560536, -0.06320376698311199, -0.23214784779531114, 0.14498411184724638, -0.2194898907054106, -0.1539587663993349, 0.11692407923435573, 0.1606159019489389, 0.18719006177750142, 0.032506071455667127, 0.15930832505246678, -0.0879059301018167, 0.24361453753697468, 0.14397947014282075, -0.09651540217215798, 0.0935947780689115, 0.0893808950067443, 0.2278875326814801, 0.12389982814955361, -0.009741514339111745, -0.10064585418577361, -0.3522618018255076, -0.0888083710006493, -0.15000728101414793, 0.12527677363387363, -0.15158558510858497, -0.1784408469684422, 0.3131903418106958, 0.09592767843552043, 0.19920106067815246, 0.0692165130886304, 0.2046303685175885, 0.16482159874045893, -0.05154295076670892, 0.19935161301948348, 0.2103263064945007, 0.09024533460957601, 0.06306405068265603, -0.19465658373391145, -0.015668464365743977, 0.0747610464664724] |
707.3451 | Relative Oscillation Theory for Sturm-Liouville Operators Extended | We extend relative oscillation theory to the case of Sturm--Liouville
operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the
weighted number of zeros of Wronskians of certain solutions equals the value of
Krein's spectral shift function inside essential spectral gaps.
| math.SP math-ph math.MP | we extend relative oscillation theory to the case of sturmliouville operators h u r1puq u with different ps we show that the weighted number of zeros of wronskians of certain solutions equals the value of kreins spectral shift function inside essential spectral gaps | [['we', 'extend', 'relative', 'oscillation', 'theory', 'to', 'the', 'case', 'of', 'sturmliouville', 'operators', 'h', 'u', 'r1puq', 'u', 'with', 'different', 'ps', 'we', 'show', 'that', 'the', 'weighted', 'number', 'of', 'zeros', 'of', 'wronskians', 'of', 'certain', 'solutions', 'equals', 'the', 'value', 'of', 'kreins', 'spectral', 'shift', 'function', 'inside', 'essential', 'spectral', 'gaps']] | [-0.18021657631643825, 0.08560294708946631, -0.022208523093944506, 0.07792519501665429, -0.05210419851244383, -0.09259836508759431, 0.040525777983323984, 0.3368937153413537, -0.30020093314704444, -0.2516556949842544, 0.05365342718903862, -0.3288286483536164, -0.11825168398874146, 0.13172405530210762, -0.054413004201792535, 0.08010907555442481, 0.06969538237899542, 0.08244748994530667, -0.15137957310902753, -0.17338734448310875, 0.4101481245320645, -0.044696401727075376, 0.21168606267088935, 0.0870367685510289, -0.0033466367915804896, 0.05039887450125423, -0.013522413692304067, -0.039503580934944604, -0.20178502388496003, 0.13524517892593785, 0.23224581183776968, 0.10216207947537657, 0.28174725558520075, -0.34460115454913604, -0.17555476971513903, 0.23427609212341763, 0.1624591221944207, -0.02153169791702004, 0.05456949034262271, -0.2312278695171699, 0.06812639865979907, -0.12016475604780551, -0.21175923289376355, -0.016293526033959574, 0.04427960929682567, 0.13099333042156927, -0.29074852709614096, 0.11505802756818455, 0.024969818498253256, 0.011249835314672618, -0.10338204513703074, -0.20343838901525096, -0.023793529719114304, 0.09709615536433246, 0.040225883502335774, -0.029342506601963015, 0.03598314007034614, -0.07634492347105629, -0.05259649091888042, 0.3052635271811769, -0.1455361266354365, -0.17937688161397264, 0.06237490115953343, -0.2297176248754286, -0.061315524901839946, 0.09738629160537607, 0.0644871352484361, 0.1680090775092443, -0.024597214374114714, 0.1746024578987133, -0.07252590183079952, 0.176653489160041, 0.1670965957455337, 0.07520377468539491, 0.11452642631983119, 0.058945620920331704, 0.14801472605073027, 0.11366566609857338, -0.04412966678362517, -0.05564523372491489, -0.3813742321161997, -0.11562396490591623, -0.2020319850804905, 0.07894055731594563, -0.13351621831368124, -0.23292154217848465, 0.46873044528599295, 0.11240875925536134, 0.21547137243795164, 0.060605320458610855, 0.16039549293262617, 0.23097070922986382, 0.04964095935048092, 0.02531127698187317, 0.1320534274869022, 0.2193841434671499, 0.09358043990851868, -0.29316061375928776, -0.08632387335057415, 0.17661324722160185] |
707.3452 | Vertical Dust Particle Chains-Mass and Charge Measurements | Dusty plasmas have generated a large amount of interest since the discovery
of ordered structure (crystal) formation in experimentally generated complex
plasmas in 1994. Dust particles within the plasma sheath generated in these
complex plasmas can form vertical chains due to the streaming ion wakefield.
For the simplest of these configurations (a two particle chain), the particle
closest to the lower electrode will generally remain in the shadow of the
particle farthest from the lower electrode. These results in the two particles
feeling differing ion drag forces: the top particle is acted on by the ion drag
force directed from the plasma to the lower electrode, while the bottom
particle is acted upon by the resulting wakefield produced by the interaction
of the upper particle with the ion drag force. This dynamic situation currently
provides the best known experimental environment for examining the physics
behind the ion drag force and its interaction with the plasma sheath. An
experimental method for investigating the interaction between pair-particle
chains based on modulating the bias on the lower electrode employing a DC bias
modulation technique will be presented.
| astro-ph | dusty plasmas have generated a large amount of interest since the discovery of ordered structure crystal formation in experimentally generated complex plasmas in 1994 dust particles within the plasma sheath generated in these complex plasmas can form vertical chains due to the streaming ion wakefield for the simplest of these configurations a two particle chain the particle closest to the lower electrode will generally remain in the shadow of the particle farthest from the lower electrode these results in the two particles feeling differing ion drag forces the top particle is acted on by the ion drag force directed from the plasma to the lower electrode while the bottom particle is acted upon by the resulting wakefield produced by the interaction of the upper particle with the ion drag force this dynamic situation currently provides the best known experimental environment for examining the physics behind the ion drag force and its interaction with the plasma sheath an experimental method for investigating the interaction between pairparticle chains based on modulating the bias on the lower electrode employing a dc bias modulation technique will be presented | [['dusty', 'plasmas', 'have', 'generated', 'a', 'large', 'amount', 'of', 'interest', 'since', 'the', 'discovery', 'of', 'ordered', 'structure', 'crystal', 'formation', 'in', 'experimentally', 'generated', 'complex', 'plasmas', 'in', '1994', 'dust', 'particles', 'within', 'the', 'plasma', 'sheath', 'generated', 'in', 'these', 'complex', 'plasmas', 'can', 'form', 'vertical', 'chains', 'due', 'to', 'the', 'streaming', 'ion', 'wakefield', 'for', 'the', 'simplest', 'of', 'these', 'configurations', 'a', 'two', 'particle', 'chain', 'the', 'particle', 'closest', 'to', 'the', 'lower', 'electrode', 'will', 'generally', 'remain', 'in', 'the', 'shadow', 'of', 'the', 'particle', 'farthest', 'from', 'the', 'lower', 'electrode', 'these', 'results', 'in', 'the', 'two', 'particles', 'feeling', 'differing', 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707.3453 | Unification of twistors and Ramond vectors | We generalize the idea of supertwistors and introduce a new supersymmetric
object - the $\theta$-twistor which includes the composite Ramond vector [11]
well known from the spinning string dynamics. The symmetries of the chiral
$\theta$-twistor superspace are studied. It is shown that the chiral spin
structure introduced by the $\theta$-twistor breaks the superconformal boost
symmetry but preserves the scale symmetry and the super-Poincare symmetry. This
geometrical effect of breaking correlates with the Gross-Wess effect of the
conformal boost breaking for bosonic scattering amplitudes.
| hep-th | we generalize the idea of supertwistors and introduce a new supersymmetric object the thetatwistor which includes the composite ramond vector 11 well known from the spinning string dynamics the symmetries of the chiral thetatwistor superspace are studied it is shown that the chiral spin structure introduced by the thetatwistor breaks the superconformal boost symmetry but preserves the scale symmetry and the superpoincare symmetry this geometrical effect of breaking correlates with the grosswess effect of the conformal boost breaking for bosonic scattering amplitudes | [['we', 'generalize', 'the', 'idea', 'of', 'supertwistors', 'and', 'introduce', 'a', 'new', 'supersymmetric', 'object', 'the', 'thetatwistor', 'which', 'includes', 'the', 'composite', 'ramond', 'vector', '11', 'well', 'known', 'from', 'the', 'spinning', 'string', 'dynamics', 'the', 'symmetries', 'of', 'the', 'chiral', 'thetatwistor', 'superspace', 'are', 'studied', 'it', 'is', 'shown', 'that', 'the', 'chiral', 'spin', 'structure', 'introduced', 'by', 'the', 'thetatwistor', 'breaks', 'the', 'superconformal', 'boost', 'symmetry', 'but', 'preserves', 'the', 'scale', 'symmetry', 'and', 'the', 'superpoincare', 'symmetry', 'this', 'geometrical', 'effect', 'of', 'breaking', 'correlates', 'with', 'the', 'grosswess', 'effect', 'of', 'the', 'conformal', 'boost', 'breaking', 'for', 'bosonic', 'scattering', 'amplitudes']] | [-0.15986745589108056, 0.23061895488910836, -0.04703886317158187, 0.08513759507906887, -0.1342058265466749, -0.116605542804241, -0.07281351574685102, 0.30369503253404007, -0.2143626695981732, -0.26558647240385597, 0.05959102658290462, -0.23814255886791666, -0.18923695211839162, 0.030256864051392048, -0.02321477969073587, 0.06006377780189117, -0.10587019078939418, 0.0607409968132866, -0.14440887668572458, -0.21807930186781802, 0.32177236218603306, 0.005438067783590084, 0.33071135191453827, 0.04633337111833195, 0.13661272121294413, 0.05479932950168595, -0.007498963080622532, -0.07196435433479002, -0.05841631735834928, 0.11261411502175493, 0.13835189980742188, 0.04501856192314054, 0.03744525317804037, -0.41870038246988883, -0.22259477176990958, 0.020894421842294158, 0.16752253427388675, 0.1720317037873844, -0.036534138219316066, -0.33438203357344054, 0.024299003471286943, -0.20086859328741277, -0.2107565385479204, -0.10491593218305045, -0.005055045749256273, -0.14572221521334147, -0.22477656995581555, 0.1014862956283729, 0.09607833351531744, 0.06664225628978952, -0.02924682535691026, -0.05086644667338718, -0.13405800305226426, 0.0469741083704579, 0.1356238085678836, 0.0422442363931533, 0.14066263539342921, -0.19308341169488374, -0.15919589652553384, 0.43355566996471656, -0.011337163129441993, -0.22592089766705478, 0.11103049468502034, -0.11500668294482036, -0.22194466461645967, 0.11009456556474354, 0.07478577910382071, 0.13177046408002943, -0.10245434032181094, 0.21305384697179874, -0.06121540156963431, 0.11884389682615429, 0.08031916086573476, 0.06706450128191967, 0.2354167572878025, 0.11811896429661616, 0.024495284774421172, 0.18687580233830728, -0.06203738176321358, -0.12314837275757051, -0.4027476597945263, -0.11032303026589899, -0.12855902334882152, 0.08501541351232632, -0.09604822516543388, -0.10801773227537108, 0.41002332478945636, 0.1254333616369102, 0.17805513833867914, 0.06551986807572115, 0.16968900009265375, 0.10458009121551488, 0.18215718590022054, 0.03955717798448915, 0.2714603518475031, 0.1853741302864948, 0.06484252744911952, -0.3072939498010839, -0.10910885940869282, 0.1368718715787026] |
707.3454 | Solving Linearized Equations of the $N$-body Problem Using the
Lie-integration Method | Several integration schemes exits to solve the equations of motion of the
$N$-body problem. The Lie-integration method is based on the idea to solve
ordinary differential equations with Lie-series. In the 1980s this method was
applied for the $N$-body problem by giving the recurrence formula for the
calculation of the Lie-terms. The aim of this works is to present the
recurrence formulae for the linearized equations of motion of $N$-body systems.
We prove a lemma which greatly simplifies the derivation of the recurrence
formulae for the linearized equations if the recurrence formulae for the
equations of motions are known. The Lie-integrator is compared with other
well-known methods. The optimal step size and order of the Lie-integrator are
calculated. It is shown that a fine-tuned Lie-integrator can be 30%-40% faster
than other integration methods.
| astro-ph | several integration schemes exits to solve the equations of motion of the nbody problem the lieintegration method is based on the idea to solve ordinary differential equations with lieseries in the 1980s this method was applied for the nbody problem by giving the recurrence formula for the calculation of the lieterms the aim of this works is to present the recurrence formulae for the linearized equations of motion of nbody systems we prove a lemma which greatly simplifies the derivation of the recurrence formulae for the linearized equations if the recurrence formulae for the equations of motions are known the lieintegrator is compared with other wellknown methods the optimal step size and order of the lieintegrator are calculated it is shown that a finetuned lieintegrator can be 3040 faster than other integration methods | [['several', 'integration', 'schemes', 'exits', 'to', 'solve', 'the', 'equations', 'of', 'motion', 'of', 'the', 'nbody', 'problem', 'the', 'lieintegration', 'method', 'is', 'based', 'on', 'the', 'idea', 'to', 'solve', 'ordinary', 'differential', 'equations', 'with', 'lieseries', 'in', 'the', '1980s', 'this', 'method', 'was', 'applied', 'for', 'the', 'nbody', 'problem', 'by', 'giving', 'the', 'recurrence', 'formula', 'for', 'the', 'calculation', 'of', 'the', 'lieterms', 'the', 'aim', 'of', 'this', 'works', 'is', 'to', 'present', 'the', 'recurrence', 'formulae', 'for', 'the', 'linearized', 'equations', 'of', 'motion', 'of', 'nbody', 'systems', 'we', 'prove', 'a', 'lemma', 'which', 'greatly', 'simplifies', 'the', 'derivation', 'of', 'the', 'recurrence', 'formulae', 'for', 'the', 'linearized', 'equations', 'if', 'the', 'recurrence', 'formulae', 'for', 'the', 'equations', 'of', 'motions', 'are', 'known', 'the', 'lieintegrator', 'is', 'compared', 'with', 'other', 'wellknown', 'methods', 'the', 'optimal', 'step', 'size', 'and', 'order', 'of', 'the', 'lieintegrator', 'are', 'calculated', 'it', 'is', 'shown', 'that', 'a', 'finetuned', 'lieintegrator', 'can', 'be', '3040', 'faster', 'than', 'other', 'integration', 'methods']] | [-0.12071598915182138, 0.027295738645548365, -0.11920597313490527, 0.06828534593064846, -0.08487284481243203, -0.10224443132227118, -0.03542352803527716, 0.2904333476696841, -0.27556796333837236, -0.2974660477290551, 0.12120413086086046, -0.25917285452702676, -0.13349551021537714, 0.2577796036617435, -0.027804093816402285, 0.0910875792368174, 0.09907418827236997, 0.04265055689734943, -0.09913517228348857, -0.27552166732141015, 0.2954742261138039, 0.014567418510771611, 0.21470027006315914, -0.008537541344677184, 0.13280320274079163, -0.03310628218759754, -0.06956849099052223, 0.0030284260089198747, -0.1542513691946431, 0.12731401795683656, 0.21398141920905223, 0.10874756469892224, 0.2576302710751241, -0.4133959642583222, -0.17767974224195562, 0.05599044462239059, 0.16603163943033328, 0.17011566831515115, -0.0013971501515091707, -0.2690108484944865, 0.10135122772419092, -0.1416223252480532, -0.1787154063561254, -0.055818263116772425, 0.03395678014423924, 0.05131493850300709, -0.2621906203796353, 0.10784015331106882, 0.07987921523410037, -0.014098921748386188, -0.08832263065304494, -0.1094375935799414, 0.01938227729900091, 0.08591272307658625, 0.04366500638460628, -0.012295254082842306, 0.04876310609027066, -0.10147815673774334, -0.11938985776523071, 0.41120852899709437, -0.04631725356044957, -0.25584280698306183, 0.13840417875238045, -0.09980425838853768, -0.11682712544235542, 0.1388454112986272, 0.1173086704767422, 0.18227390885691752, -0.16557313148002845, 0.09105399618883067, -0.03121728256739902, 0.12712885503424332, 0.07938068072226914, -0.053423949386783395, 0.10489306761883199, 0.13291708965588248, 0.06540769018994813, 0.12464606037864348, -0.0461912764303358, -0.13491177807251611, -0.2638311614026668, -0.15174591169819573, -0.13681393520991234, 0.028977646095551212, -0.0998085078457679, -0.15500112398678373, 0.3505559714200596, 0.17946837226874335, 0.13950925272497858, 0.11715559652128088, 0.3135065518488938, 0.22158664752284743, 0.08744543243047895, 0.06133580561061425, 0.22683047784040822, 0.17513729091275088, 0.10584872839348408, -0.2447435796070336, 0.060860008532031454, 0.1925856440511504] |
707.3455 | Posture-Dependent Human 3He Lung Imaging in an Open Access MRI System:
Initial Results | The human lung and its functions are extremely sensitive to orientation and
posture, and debate continues as to the role of gravity and the surrounding
anatomy in determining lung function and heterogeneity of perfusion and
ventilation. However, study of these effects is difficult. The conventional
high-field magnets used for most hyperpolarized 3He MRI of the human lung, and
most other common radiological imaging modalities including PET and CT,
restrict subjects to lying horizontally, minimizing most gravitational effects.
In this paper, we briefly review the motivation for posture-dependent studies
of human lung function, and present initial imaging results of human lungs in
the supine and vertical body orientations using inhaled hyperpolarized 3He gas
and an open-access MRI instrument. The open geometry of this MRI system
features a "walk-in" capability that permits subjects to be imaged in vertical
and horizontal positions, and potentially allows for complete rotation of the
orientation of the imaging subject in a two-dimensional plane. Initial results
include two-dimensional lung images acquired with ~ 4 mm in-plane resolution
and three-dimensional images with ~ 1.5 cm slice thickness. Effects of posture
variation are observed.
| physics.med-ph | the human lung and its functions are extremely sensitive to orientation and posture and debate continues as to the role of gravity and the surrounding anatomy in determining lung function and heterogeneity of perfusion and ventilation however study of these effects is difficult the conventional highfield magnets used for most hyperpolarized 3he mri of the human lung and most other common radiological imaging modalities including pet and ct restrict subjects to lying horizontally minimizing most gravitational effects in this paper we briefly review the motivation for posturedependent studies of human lung function and present initial imaging results of human lungs in the supine and vertical body orientations using inhaled hyperpolarized 3he gas and an openaccess mri instrument the open geometry of this mri system features a walkin capability that permits subjects to be imaged in vertical and horizontal positions and potentially allows for complete rotation of the orientation of the imaging subject in a twodimensional plane initial results include twodimensional lung images acquired with 4 mm inplane resolution and threedimensional images with 15 cm slice thickness effects of posture variation are observed | [['the', 'human', 'lung', 'and', 'its', 'functions', 'are', 'extremely', 'sensitive', 'to', 'orientation', 'and', 'posture', 'and', 'debate', 'continues', 'as', 'to', 'the', 'role', 'of', 'gravity', 'and', 'the', 'surrounding', 'anatomy', 'in', 'determining', 'lung', 'function', 'and', 'heterogeneity', 'of', 'perfusion', 'and', 'ventilation', 'however', 'study', 'of', 'these', 'effects', 'is', 'difficult', 'the', 'conventional', 'highfield', 'magnets', 'used', 'for', 'most', 'hyperpolarized', '3he', 'mri', 'of', 'the', 'human', 'lung', 'and', 'most', 'other', 'common', 'radiological', 'imaging', 'modalities', 'including', 'pet', 'and', 'ct', 'restrict', 'subjects', 'to', 'lying', 'horizontally', 'minimizing', 'most', 'gravitational', 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707.3456 | Effects of Jet Opening Angle and Velocity Structure on Blazar Parameters | We had earlier shown that for a constant velocity jet the discrepancy between
the low speeds indicated by VLBI knot motions and the high Doppler factors
inferred from emission of TeV photons could be reconciled if ultrarelativistic
jets possessed modest opening angles. Here we evaluate the (flux-weighted)
viewing angles of the jet and the apparent speeds and Doppler factors of the
radio knots on parsec scales. The influence of the jet opening angle on these
radio knot parameters are found for the usually considered types of
relativistic nuclear jets: those with uniform bulk speeds and those where the
bulk Lorentz factor of the flow decreases with distance from the jet axis,
known as `spine--sheath' flows. For both types of jet velocity structures the
expectation value of the jet orientation angle at first falls dramatically with
increases in the (central) jet Lorentz factor, but for extremely relativistic
jets it levels off at a fraction of the opening angle. The effective values of
the apparent speeds and Doppler factors of the knots always decline
substantially with increasing jet opening angle. The rarity of highly
superluminal parsec-scale radio components in TeV blazars can be understood if
their jets are both highly relativistic and intrinsically weaker, so probably
less well collimated, than the jets in ordinary blazars.
| astro-ph | we had earlier shown that for a constant velocity jet the discrepancy between the low speeds indicated by vlbi knot motions and the high doppler factors inferred from emission of tev photons could be reconciled if ultrarelativistic jets possessed modest opening angles here we evaluate the fluxweighted viewing angles of the jet and the apparent speeds and doppler factors of the radio knots on parsec scales the influence of the jet opening angle on these radio knot parameters are found for the usually considered types of relativistic nuclear jets those with uniform bulk speeds and those where the bulk lorentz factor of the flow decreases with distance from the jet axis known as spinesheath flows for both types of jet velocity structures the expectation value of the jet orientation angle at first falls dramatically with increases in the central jet lorentz factor but for extremely relativistic jets it levels off at a fraction of the opening angle the effective values of the apparent speeds and doppler factors of the knots always decline substantially with increasing jet opening angle the rarity of highly superluminal parsecscale radio components in tev blazars can be understood if their jets are both highly relativistic and intrinsically weaker so probably less well collimated than the jets in ordinary blazars | [['we', 'had', 'earlier', 'shown', 'that', 'for', 'a', 'constant', 'velocity', 'jet', 'the', 'discrepancy', 'between', 'the', 'low', 'speeds', 'indicated', 'by', 'vlbi', 'knot', 'motions', 'and', 'the', 'high', 'doppler', 'factors', 'inferred', 'from', 'emission', 'of', 'tev', 'photons', 'could', 'be', 'reconciled', 'if', 'ultrarelativistic', 'jets', 'possessed', 'modest', 'opening', 'angles', 'here', 'we', 'evaluate', 'the', 'fluxweighted', 'viewing', 'angles', 'of', 'the', 'jet', 'and', 'the', 'apparent', 'speeds', 'and', 'doppler', 'factors', 'of', 'the', 'radio', 'knots', 'on', 'parsec', 'scales', 'the', 'influence', 'of', 'the', 'jet', 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707.3457 | A Generalized Information Formula as the Bridge between Shannon and
Popper | A generalized information formula related to logical probability and fuzzy
set is deduced from the classical information formula. The new information
measure accords with to Popper's criterion for knowledge evolution very much.
In comparison with square error criterion, the information criterion does not
only reflect error of a proposition, but also reflects the particularity of the
event described by the proposition. It gives a proposition with less logical
probability higher evaluation. The paper introduces how to select a prediction
or sentence from many for forecasts and language translations according to the
generalized information criterion. It also introduces the rate fidelity theory,
which comes from the improvement of the rate distortion theory in the classical
information theory by replacing distortion (i.e. average error) criterion with
the generalized mutual information criterion, for data compression and
communication efficiency. Some interesting conclusions are obtained from the
rate-fidelity function in relation to image communication. It also discusses
how to improve Popper's theory.
| cs.IT cs.AI math.IT | a generalized information formula related to logical probability and fuzzy set is deduced from the classical information formula the new information measure accords with to poppers criterion for knowledge evolution very much in comparison with square error criterion the information criterion does not only reflect error of a proposition but also reflects the particularity of the event described by the proposition it gives a proposition with less logical probability higher evaluation the paper introduces how to select a prediction or sentence from many for forecasts and language translations according to the generalized information criterion it also introduces the rate fidelity theory which comes from the improvement of the rate distortion theory in the classical information theory by replacing distortion ie average error criterion with the generalized mutual information criterion for data compression and communication efficiency some interesting conclusions are obtained from the ratefidelity function in relation to image communication it also discusses how to improve poppers theory | [['a', 'generalized', 'information', 'formula', 'related', 'to', 'logical', 'probability', 'and', 'fuzzy', 'set', 'is', 'deduced', 'from', 'the', 'classical', 'information', 'formula', 'the', 'new', 'information', 'measure', 'accords', 'with', 'to', 'poppers', 'criterion', 'for', 'knowledge', 'evolution', 'very', 'much', 'in', 'comparison', 'with', 'square', 'error', 'criterion', 'the', 'information', 'criterion', 'does', 'not', 'only', 'reflect', 'error', 'of', 'a', 'proposition', 'but', 'also', 'reflects', 'the', 'particularity', 'of', 'the', 'event', 'described', 'by', 'the', 'proposition', 'it', 'gives', 'a', 'proposition', 'with', 'less', 'logical', 'probability', 'higher', 'evaluation', 'the', 'paper', 'introduces', 'how', 'to', 'select', 'a', 'prediction', 'or', 'sentence', 'from', 'many', 'for', 'forecasts', 'and', 'language', 'translations', 'according', 'to', 'the', 'generalized', 'information', 'criterion', 'it', 'also', 'introduces', 'the', 'rate', 'fidelity', 'theory', 'which', 'comes', 'from', 'the', 'improvement', 'of', 'the', 'rate', 'distortion', 'theory', 'in', 'the', 'classical', 'information', 'theory', 'by', 'replacing', 'distortion', 'ie', 'average', 'error', 'criterion', 'with', 'the', 'generalized', 'mutual', 'information', 'criterion', 'for', 'data', 'compression', 'and', 'communication', 'efficiency', 'some', 'interesting', 'conclusions', 'are', 'obtained', 'from', 'the', 'ratefidelity', 'function', 'in', 'relation', 'to', 'image', 'communication', 'it', 'also', 'discusses', 'how', 'to', 'improve', 'poppers', 'theory']] | [-0.07280509184466866, 0.022092251575742967, -0.11880628347772962, 0.14938668159018748, -0.102002064900425, -0.17281117249662295, 0.1220488187607724, 0.3160903881936788, -0.2868427956261887, -0.3421534451130682, 0.09772318186617504, -0.2663457870710259, -0.16954263805363995, 0.20073780181477419, -0.1529913328771587, 0.040974094114529014, 0.05419368761925934, 0.127988759979743, -0.10090989732326797, -0.25113754582782394, 0.29528803831467837, 0.1105757090569032, 0.33668573720691103, 0.058997873606411025, 0.09725896159878362, 0.03476710670264975, -0.0746653280280626, -0.008659577596074833, -0.17181911063977542, 0.1544672525069939, 0.25422888879891103, 0.22905014260695913, 0.28263247002943015, -0.35301438668289054, -0.20173346562287173, 0.06340966226222615, 0.07631951211115871, 0.12813321715769305, 0.00650094355790852, -0.2884804311877069, 0.08080799838241476, -0.17953275491555148, -0.07663289312189683, -0.06226409832164884, -0.014847145326292286, -0.008483750622522516, -0.2737985922849009, 0.1152199803392973, 0.1287051569789839, 0.07136141161362712, -0.037628557200197324, -0.0732888710201503, -0.005054631794337183, 0.10327060557812309, 0.0483971837705049, 0.08080089600676169, 0.1093727585961087, -0.11448078834487554, -0.11974532368222778, 0.36024724626436067, -0.03352488145882932, -0.2485464547211543, 0.12020375022593026, -0.10972794628917025, -0.0972236653115266, 0.11911825448847733, 0.12738784434324585, 0.03210447755051204, -0.1717461707840602, 0.0009658406892039914, -0.0005207436550289202, 0.2015057311464961, 0.07907570660926211, 0.09895703855018394, 0.18422097225900358, 0.114544649518883, 0.057688009811383195, 0.12902457696290162, -0.04916232311501144, -0.15025806812068018, -0.3004774240245565, -0.15600999820237169, -0.2022103097719642, 0.03795065550077244, -0.10294194972019073, -0.126372440770352, 0.3225612027797466, 0.1846711687998882, 0.15651843802875076, 0.09707412893886869, 0.298848789352446, 0.11723916858178339, 0.06540459464528024, 0.04429607981075652, 0.1967696420236816, 0.1423026852008218, 0.07937698049518542, -0.14258516414123826, 0.1076320459624418, 0.10086742867655957] |
707.3458 | Causal vs. Noncausal Description of Nonlinear Wave Mixing; Resolving the
Damping-Sign Controversy | Frequency-domain nonlinear wave mixing processes may be described either
using response functions whereby the signal is generated after all interactions
with the incoming fields, or in terms of scattering amplitudes where all fields
are treated symetrically with no specific time ordering. Closed Green's
function expressions derived for the two types of signals have different
analytical properties. The recent controversy regarding the sign of radiative
damping in the linear (Kramers Heisenberg) formula is put in a broader context.
| quant-ph | frequencydomain nonlinear wave mixing processes may be described either using response functions whereby the signal is generated after all interactions with the incoming fields or in terms of scattering amplitudes where all fields are treated symetrically with no specific time ordering closed greens function expressions derived for the two types of signals have different analytical properties the recent controversy regarding the sign of radiative damping in the linear kramers heisenberg formula is put in a broader context | [['frequencydomain', 'nonlinear', 'wave', 'mixing', 'processes', 'may', 'be', 'described', 'either', 'using', 'response', 'functions', 'whereby', 'the', 'signal', 'is', 'generated', 'after', 'all', 'interactions', 'with', 'the', 'incoming', 'fields', 'or', 'in', 'terms', 'of', 'scattering', 'amplitudes', 'where', 'all', 'fields', 'are', 'treated', 'symetrically', 'with', 'no', 'specific', 'time', 'ordering', 'closed', 'greens', 'function', 'expressions', 'derived', 'for', 'the', 'two', 'types', 'of', 'signals', 'have', 'different', 'analytical', 'properties', 'the', 'recent', 'controversy', 'regarding', 'the', 'sign', 'of', 'radiative', 'damping', 'in', 'the', 'linear', 'kramers', 'heisenberg', 'formula', 'is', 'put', 'in', 'a', 'broader', 'context']] | [-0.17115650015981182, 0.18555997315745212, -0.04374623310056785, 0.0841401059572634, -0.10399706284883187, -0.10820827125204041, -0.016870114082274467, 0.3531247272009128, -0.2564888286624888, -0.25227938587532234, 0.07996277970883775, -0.2708313498695038, -0.12397375859405943, 0.20435321499826387, 0.08158402349554787, 0.040217119955310694, -0.00881571122935336, 0.02748392724530085, -0.09463482418122064, -0.18266289206956954, 0.30924364524329767, -0.0015948652565528295, 0.26231917703377183, 0.03296249545497918, 0.0633902533629321, 0.08268444252347476, -0.03666902748304174, -0.005563467422402219, -0.0941179448027948, 0.021909914359352307, 0.26128478291579277, 0.08363440523757354, 0.20281532873693658, -0.49807650314974844, -0.27497880072578, 0.08671071835621995, 0.1363831764687539, 0.11922383499576857, -0.05738069403205851, -0.2717116879250266, 0.001347398887829561, -0.14168621668297993, -0.11105264711046689, -0.03324590981815403, 0.03486603446378324, 0.05794264175806587, -0.2884857293576811, 0.12036574511531446, 0.056040834252551, 0.055870272243689546, -0.07715077460498403, -0.14050287982497953, -0.015820851065463534, 0.12940337341340064, 0.08388721568534445, 0.005001184365123902, 0.07437649161530364, -0.14566578168274932, -0.13771178205742649, 0.3656328123056722, -0.09555584295211654, -0.2668236550924025, 0.16075853514178706, -0.18128991451138923, -0.06228539493167773, 0.1532317934937677, 0.14289143117218228, 0.10406040482370085, -0.21637956247861057, 0.08341896018071948, -0.010910674960062974, 0.10888521055887013, 0.09849665264942144, 0.06371162340847629, 0.20852967587569238, 0.08573044503205701, -0.0360571964564243, 0.1217652541442811, -0.029146186941560653, -0.11728506148057549, -0.3053442291619783, -0.08432384069371772, -0.15973363872188584, 0.04946083684607354, -0.06423035260645281, -0.15496818315257674, 0.4072066066039138, 0.1023923066235224, 0.18229943866792478, 0.03734872042887697, 0.2903390216494077, 0.24513043596188686, 0.06626206486927051, 0.036943287052532754, 0.24196800460279183, 0.1656443758218206, 0.04046394348781752, -0.2212130243914496, 0.08711126201179516, 0.05192642895455815] |
707.3459 | Gutzwiller density functional theory for correlated electron systems | We develop a new density functional theory (DFT) and formalism for correlated
electron systems by taking as reference an interacting electron system that has
a ground state wavefunction which obeys exactly the Gutzwiller approximation
for all one particle operators. The solution of the many electron problem is
mapped onto the self-consistent solution of a set of single particle
Schroedinger equations analogous to standard DFT-LDA calculations.
| cond-mat.supr-con cond-mat.mtrl-sci | we develop a new density functional theory dft and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the gutzwiller approximation for all one particle operators the solution of the many electron problem is mapped onto the selfconsistent solution of a set of single particle schroedinger equations analogous to standard dftlda calculations | [['we', 'develop', 'a', 'new', 'density', 'functional', 'theory', 'dft', 'and', 'formalism', 'for', 'correlated', 'electron', 'systems', 'by', 'taking', 'as', 'reference', 'an', 'interacting', 'electron', 'system', 'that', 'has', 'a', 'ground', 'state', 'wavefunction', 'which', 'obeys', 'exactly', 'the', 'gutzwiller', 'approximation', 'for', 'all', 'one', 'particle', 'operators', 'the', 'solution', 'of', 'the', 'many', 'electron', 'problem', 'is', 'mapped', 'onto', 'the', 'selfconsistent', 'solution', 'of', 'a', 'set', 'of', 'single', 'particle', 'schroedinger', 'equations', 'analogous', 'to', 'standard', 'dftlda', 'calculations']] | [-0.08962000988853666, 0.1164009255950357, -0.11861087347452458, 0.10499584187144557, 0.027116529346228792, -0.15849933609223135, 0.031033971348705773, 0.2822913037183193, -0.24608240690655434, -0.2679148310365585, -0.003241265579484976, -0.3503430325824481, -0.0846793915793219, 0.14568846941424105, 0.0798238408823426, 0.11588956530277546, 0.06446145923378375, 0.023573792020145517, -0.12354841491995523, -0.15079869117874364, 0.30314832052502494, 0.03313305824278639, 0.2465144010977103, 0.0005062184009987574, 0.1404882647240391, 0.08928874474435221, 0.09071541112632706, 0.059240978125196235, -0.09894597405767014, 0.07943785100136526, 0.2299189479305194, 0.07075883903755592, 0.2928641260816501, -0.5030501606659248, -0.24898457373358093, 0.005983502424966831, 0.15671200901269913, 0.16090198579566697, -0.06284836719815548, -0.27541500182392503, -0.001998646191966075, -0.21559764618555513, -0.20401661758526013, -0.11188904356497985, -0.012215235485480381, 0.0005892716634732026, -0.26887393579460106, 0.09972280378525074, -0.015236617162680396, -0.04615463685846547, -0.1587715837280624, -0.07685659846398406, -0.0021120187002592362, 0.06166179578464765, -0.012660265448861396, 0.10256155495746777, 0.15321612681190555, -0.08647226381760377, -0.093909855462754, 0.4080793182437237, -0.0806936933981398, -0.2529986209737567, 0.1471820729999588, -0.13022524716081815, -0.11220839482445556, 0.15401811917813923, 0.07777403683330004, 0.10809141923673452, -0.22525649235512202, 0.16662833418321008, -0.1138372358167544, 0.1636632041575817, 0.007129174628509925, 0.033183975868786755, 0.19749721568077802, 0.14306783769279718, 0.07437626679266732, 0.07450183730285902, -0.057254518804928434, -0.1722683301052222, -0.2801170048232262, -0.17039449088451175, -0.2410125102937365, 0.0705766353612909, -0.05553868928758535, -0.23053699769079686, 0.42403822475327896, 0.11669312970569501, 0.09655111367599323, -0.010882703922330761, 0.25782060118821953, 0.2376535026179716, 0.010361435479269578, 0.03414939848813586, 0.1669594189653603, 0.182613619005021, 0.03683841867515674, -0.24928979388653086, -0.032218848484066816, 0.15457866929399852] |
707.346 | Monopole annihilation in cosmic necklaces | A sequence of two symmetry breaking transitions in the early universe may
produce monopoles whose flux is confined into two strings each, which thus
assemble into "necklaces" with monopoles as beads. Such "cosmic necklaces" have
been proposed as a source of ultra-high-energy cosmic rays. We analyze the
evolution of these systems and show that essentially all monopoles annihilate
or leave the string at early times, after which cosmic necklaces evolve in a
similar way to a network of ordinary cosmic strings. We investigate several
modifications to the basic picture, but in nearly all cases we find that too
few monopoles remain on the necklaces to produce any observable cosmic rays.
There may be a small window for superconducting condensates to prevent
annihilations, but only if both the string and the condensate scale are very
high.
| astro-ph gr-qc hep-ph hep-th | a sequence of two symmetry breaking transitions in the early universe may produce monopoles whose flux is confined into two strings each which thus assemble into necklaces with monopoles as beads such cosmic necklaces have been proposed as a source of ultrahighenergy cosmic rays we analyze the evolution of these systems and show that essentially all monopoles annihilate or leave the string at early times after which cosmic necklaces evolve in a similar way to a network of ordinary cosmic strings we investigate several modifications to the basic picture but in nearly all cases we find that too few monopoles remain on the necklaces to produce any observable cosmic rays there may be a small window for superconducting condensates to prevent annihilations but only if both the string and the condensate scale are very high | [['a', 'sequence', 'of', 'two', 'symmetry', 'breaking', 'transitions', 'in', 'the', 'early', 'universe', 'may', 'produce', 'monopoles', 'whose', 'flux', 'is', 'confined', 'into', 'two', 'strings', 'each', 'which', 'thus', 'assemble', 'into', 'necklaces', 'with', 'monopoles', 'as', 'beads', 'such', 'cosmic', 'necklaces', 'have', 'been', 'proposed', 'as', 'a', 'source', 'of', 'ultrahighenergy', 'cosmic', 'rays', 'we', 'analyze', 'the', 'evolution', 'of', 'these', 'systems', 'and', 'show', 'that', 'essentially', 'all', 'monopoles', 'annihilate', 'or', 'leave', 'the', 'string', 'at', 'early', 'times', 'after', 'which', 'cosmic', 'necklaces', 'evolve', 'in', 'a', 'similar', 'way', 'to', 'a', 'network', 'of', 'ordinary', 'cosmic', 'strings', 'we', 'investigate', 'several', 'modifications', 'to', 'the', 'basic', 'picture', 'but', 'in', 'nearly', 'all', 'cases', 'we', 'find', 'that', 'too', 'few', 'monopoles', 'remain', 'on', 'the', 'necklaces', 'to', 'produce', 'any', 'observable', 'cosmic', 'rays', 'there', 'may', 'be', 'a', 'small', 'window', 'for', 'superconducting', 'condensates', 'to', 'prevent', 'annihilations', 'but', 'only', 'if', 'both', 'the', 'string', 'and', 'the', 'condensate', 'scale', 'are', 'very', 'high']] | [-0.15206572931880752, 0.27989014140157786, -0.09455872461958616, 0.1607385669257147, -0.047111109043988915, -0.0854157360598307, -0.007186506966266919, 0.3972252802530959, -0.2446190352551639, -0.32989287697882563, 0.07732337754030057, -0.2852787640635614, -0.044484147189736915, 0.1504072567512695, 0.014679257133630691, -0.04104603705841496, 0.03495605216120128, 0.04587196947799788, -0.010467057278448785, -0.29873352467461867, 0.2910532874365648, 0.05757040295887877, 0.24038094645711006, 0.02823965020943433, 0.09679651650841589, -0.08724382495059184, -0.007433161405087621, 0.021136858209165103, -0.09567053253574866, 0.0372527554312169, 0.21108453643197814, 0.11238259943719539, 0.13588142132869474, -0.5010260118792454, -0.23570269317262701, 0.193170800615378, 0.22554195651060177, 0.1508942563972798, -0.084600582050539, -0.24564227768633928, 0.10255203265502738, -0.12339801916731867, -0.09650058469010724, -0.059403246910207805, 0.017545452162071512, 0.030933693820541657, -0.17354960207120274, 0.02025765312352666, 0.05259285662323236, -0.04722722271388328, -0.06426463708350504, -0.06381497378978464, -0.003942611427218826, 0.10762326016297771, 0.10937867582154771, 0.060728800362320964, 0.1479700348486572, -0.14143462248051678, -0.1047089355825274, 0.4333542150893697, -0.05804012416413537, -0.11487570290488225, 0.20304973198583834, -0.15919948442735607, -0.17615939611569048, 0.1612634084791083, 0.13896410903996892, 0.09384132047632227, -0.14157940635664595, 0.05363682521489897, -0.009373871299127737, 0.15153583388223693, 0.14737406952513588, 0.06449622570502538, 0.3749432859390422, 0.12220010973375153, 0.059861748845799374, 0.0914474534828009, -0.0509684002906498, -0.04696198761532152, -0.32488466537454064, -0.12974596741712754, -0.1499844083269299, 0.07965701709984353, -0.058172129649729294, -0.23580417492323452, 0.3395934095675195, 0.10782689304711918, 0.26533460537040676, 0.027849088919659457, 0.21436513964500692, -0.007436138372523366, 0.07693566003193458, 0.08278213256314673, 0.25023638782677826, 0.09250264809535885, 0.07708062133406875, -0.17916899307423995, -0.021486094759570227, 0.07597566738172813] |
707.3461 | Lattices for Distributed Source Coding: Jointly Gaussian Sources and
Reconstruction of a Linear Function | Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders
observe the two components and communicate compressed versions of their
observations to a common decoder. The decoder is interested in reconstructing a
linear combination of X1 and X2 to within a mean-square distortion of D. We
obtain an inner bound to the optimal rate-distortion region for this problem. A
portion of this inner bound is achieved by a scheme that reconstructs the
linear function directly rather than reconstructing the individual components
X1 and X2 first. This results in a better rate region for certain parameter
values. Our coding scheme relies on lattice coding techniques in contrast to
more prevalent random coding arguments used to demonstrate achievable rate
regions in information theory. We then consider the case of linear
reconstruction of K sources and provide an inner bound to the optimal
rate-distortion region. Some parts of the inner bound are achieved using the
following coding structure: lattice vector quantization followed by
"correlated" lattice-structured binning.
| cs.IT math.IT | consider a pair of correlated gaussian sources x1x2 two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder the decoder is interested in reconstructing a linear combination of x1 and x2 to within a meansquare distortion of d we obtain an inner bound to the optimal ratedistortion region for this problem a portion of this inner bound is achieved by a scheme that reconstructs the linear function directly rather than reconstructing the individual components x1 and x2 first this results in a better rate region for certain parameter values our coding scheme relies on lattice coding techniques in contrast to more prevalent random coding arguments used to demonstrate achievable rate regions in information theory we then consider the case of linear reconstruction of k sources and provide an inner bound to the optimal ratedistortion region some parts of the inner bound are achieved using the following coding structure lattice vector quantization followed by correlated latticestructured binning | [['consider', 'a', 'pair', 'of', 'correlated', 'gaussian', 'sources', 'x1x2', 'two', 'separate', 'encoders', 'observe', 'the', 'two', 'components', 'and', 'communicate', 'compressed', 'versions', 'of', 'their', 'observations', 'to', 'a', 'common', 'decoder', 'the', 'decoder', 'is', 'interested', 'in', 'reconstructing', 'a', 'linear', 'combination', 'of', 'x1', 'and', 'x2', 'to', 'within', 'a', 'meansquare', 'distortion', 'of', 'd', 'we', 'obtain', 'an', 'inner', 'bound', 'to', 'the', 'optimal', 'ratedistortion', 'region', 'for', 'this', 'problem', 'a', 'portion', 'of', 'this', 'inner', 'bound', 'is', 'achieved', 'by', 'a', 'scheme', 'that', 'reconstructs', 'the', 'linear', 'function', 'directly', 'rather', 'than', 'reconstructing', 'the', 'individual', 'components', 'x1', 'and', 'x2', 'first', 'this', 'results', 'in', 'a', 'better', 'rate', 'region', 'for', 'certain', 'parameter', 'values', 'our', 'coding', 'scheme', 'relies', 'on', 'lattice', 'coding', 'techniques', 'in', 'contrast', 'to', 'more', 'prevalent', 'random', 'coding', 'arguments', 'used', 'to', 'demonstrate', 'achievable', 'rate', 'regions', 'in', 'information', 'theory', 'we', 'then', 'consider', 'the', 'case', 'of', 'linear', 'reconstruction', 'of', 'k', 'sources', 'and', 'provide', 'an', 'inner', 'bound', 'to', 'the', 'optimal', 'ratedistortion', 'region', 'some', 'parts', 'of', 'the', 'inner', 'bound', 'are', 'achieved', 'using', 'the', 'following', 'coding', 'structure', 'lattice', 'vector', 'quantization', 'followed', 'by', 'correlated', 'latticestructured', 'binning']] | [-0.15279411655962866, 0.05490087141817373, -0.07822474934268607, 0.06249026798787981, -0.03171234527068985, -0.18790787375793316, 0.10356465298980588, 0.3894850949347928, -0.30700466595022236, -0.23188620091915677, 0.10981171476376447, -0.25462479532196575, -0.13398276663544337, 0.17929819057036828, -0.07320664308609572, 0.049714067768502165, 0.018033847161682277, 0.06557606282326671, -0.1097445646059563, -0.26393018948147073, 0.29022816349695457, 0.07711587995915424, 0.2608558061850689, -0.026623157129861505, 0.09364529119849932, 0.02701870969031006, -0.03282832965629584, -0.05229920715309407, -0.13391820636384294, 0.16719709412214664, 0.2787631040243091, 0.14235934307628378, 0.25151711043748415, -0.365932089912637, -0.2420496468761618, 0.05617406205756862, 0.17064905388773385, 0.06991345472719021, -0.03879287665705949, -0.2402231507329838, 0.10688536834374933, -0.14044757823107717, -0.06554034022932373, 0.004012569932766804, -0.04233909376170032, -0.01278543320524211, -0.34300249162670965, 0.08493346539780317, 0.07278339216548087, 0.0010189560082990948, -0.06333160918403315, -0.12738237489673604, 0.05564776479363123, 0.11031666432121177, 1.09374650935756e-05, 0.09461079815064738, 0.10804377284139485, -0.12599608235603493, -0.10935806467555599, 0.3008690487093678, -0.05654534612111137, -0.21856458070006493, 0.1306874006986618, -0.15075264509949016, -0.11224800948388647, 0.16060108502137066, 0.20147141124116166, 0.13720893118780378, -0.1407125892501648, 0.05215284458671061, -0.05262765513801175, 0.22760739832798518, 0.08124996655160652, 0.09462190455211918, 0.15328994795691403, 0.12024362870810054, 0.09259026642189938, 0.21038162007022126, -0.12635701400278954, -0.10584476951327992, -0.27289096433839694, -0.08130317302733069, -0.1970482573492407, -0.01067027437682377, -0.12382754562784656, -0.1178532863474485, 0.3423079276194696, 0.06811780152876475, 0.23709824484227815, 0.06409961995441557, 0.3233480030534471, 0.08717790447536106, 0.010066460782914741, 0.14286456685853985, 0.2226960051866183, 0.15305858920754228, 0.024778808918554426, -0.17865639828676472, 0.06542209284408472, 0.08595516329358627] |
707.3462 | Separable and Low-Rank Continuous Games | In this paper, we study nonzero-sum separable games, which are continuous
games whose payoffs take a sum-of-products form. Included in this subclass are
all finite games and polynomial games. We investigate the structure of
equilibria in separable games. We show that these games admit finitely
supported Nash equilibria. Motivated by the bounds on the supports of mixed
equilibria in two-player finite games in terms of the ranks of the payoff
matrices, we define the notion of the rank of an n-player continuous game and
use this to provide bounds on the cardinality of the support of equilibrium
strategies. We present a general characterization theorem that states that a
continuous game has finite rank if and only if it is separable. Using our rank
results, we present an efficient algorithm for computing approximate equilibria
of two-player separable games with fixed strategy spaces in time polynomial in
the rank of the game.
| cs.GT math.OC | in this paper we study nonzerosum separable games which are continuous games whose payoffs take a sumofproducts form included in this subclass are all finite games and polynomial games we investigate the structure of equilibria in separable games we show that these games admit finitely supported nash equilibria motivated by the bounds on the supports of mixed equilibria in twoplayer finite games in terms of the ranks of the payoff matrices we define the notion of the rank of an nplayer continuous game and use this to provide bounds on the cardinality of the support of equilibrium strategies we present a general characterization theorem that states that a continuous game has finite rank if and only if it is separable using our rank results we present an efficient algorithm for computing approximate equilibria of twoplayer separable games with fixed strategy spaces in time polynomial in the rank of the game | [['in', 'this', 'paper', 'we', 'study', 'nonzerosum', 'separable', 'games', 'which', 'are', 'continuous', 'games', 'whose', 'payoffs', 'take', 'a', 'sumofproducts', 'form', 'included', 'in', 'this', 'subclass', 'are', 'all', 'finite', 'games', 'and', 'polynomial', 'games', 'we', 'investigate', 'the', 'structure', 'of', 'equilibria', 'in', 'separable', 'games', 'we', 'show', 'that', 'these', 'games', 'admit', 'finitely', 'supported', 'nash', 'equilibria', 'motivated', 'by', 'the', 'bounds', 'on', 'the', 'supports', 'of', 'mixed', 'equilibria', 'in', 'twoplayer', 'finite', 'games', 'in', 'terms', 'of', 'the', 'ranks', 'of', 'the', 'payoff', 'matrices', 'we', 'define', 'the', 'notion', 'of', 'the', 'rank', 'of', 'an', 'nplayer', 'continuous', 'game', 'and', 'use', 'this', 'to', 'provide', 'bounds', 'on', 'the', 'cardinality', 'of', 'the', 'support', 'of', 'equilibrium', 'strategies', 'we', 'present', 'a', 'general', 'characterization', 'theorem', 'that', 'states', 'that', 'a', 'continuous', 'game', 'has', 'finite', 'rank', 'if', 'and', 'only', 'if', 'it', 'is', 'separable', 'using', 'our', 'rank', 'results', 'we', 'present', 'an', 'efficient', 'algorithm', 'for', 'computing', 'approximate', 'equilibria', 'of', 'twoplayer', 'separable', 'games', 'with', 'fixed', 'strategy', 'spaces', 'in', 'time', 'polynomial', 'in', 'the', 'rank', 'of', 'the', 'game']] | [-0.13103285746648907, 0.0641239808051614, -0.14840943459731837, 0.0917625761202847, -0.0016973638022318481, -0.16729317544338604, 0.0872380318477129, 0.4038047294039279, -0.2745031776527564, -0.20636075959540903, 0.1003495060815476, -0.2112431381813561, -0.18437356121838092, 0.0899830201951166, -0.1442668846746286, 0.009868375360965728, 0.08168192422483117, 0.06264430484598658, -0.0041169862030074, -0.33562538171031825, 0.4138169083620111, -0.05347977293655276, 0.15858937559028466, 0.055940181131785116, 0.13168679751145343, 0.027006943384185432, -0.0005938019324094057, 0.11141908818855882, -0.16351365970675638, 0.09798488020702886, 0.3398595015875374, 0.21674212168281276, 0.38778819479203475, -0.39889836153636377, -0.10074513660743832, 0.2600265867697696, 0.057897549029439686, 0.09023259594648456, -0.03187443968063841, -0.268374547585845, 0.09746998481762906, -0.21145582429443796, -0.08422259601512148, -0.09141647309064865, 0.007019850400586923, 0.028851649657202265, -0.32353254786886587, -0.036744570340961215, 0.06615076012909413, 0.096571355505536, -0.10735298054836069, -0.13792923267232254, 0.016777899448449412, 0.10834051318544273, -0.04660448472481221, -0.060342182993578415, 0.05644252902828157, -0.11171215088882794, -0.25932845629751683, 0.3752596455688278, -0.06824740015591184, -0.2157031566525499, 0.1437009079878529, -0.10912966071007152, -0.15208333128364757, 0.09481093066434065, 0.18731393362705906, 0.21997113671231394, -0.05195903083348336, 0.14607494254169676, -0.18755737984242538, 0.15742960707594952, 0.05058894303472092, 0.05526437798708988, 0.09378921896219254, 0.10182071516290307, 0.21675540271991242, 0.17125590584706515, 0.09004472638480365, -0.2010974241804797, -0.2967389783201118, -0.11243775816634298, -0.14097599876501288, 0.037430284256115554, -0.10931344343630675, -0.22465228147649516, 0.38752019363610696, 0.07798000548966229, 0.0689832831112047, 0.1837370346680594, 0.2517053949072336, 0.11393406808143482, -0.05511062947198904, 0.1303000336047262, 0.1845393001815925, 0.1439140010578558, 0.0795463719094793, -0.18735220436006783, 0.11146232925976317, 0.11879268676042556] |
707.3463 | Charge accumulation at the boundaries of a graphene strip induced by a
gate voltage: Electrostatic approach | Distribution of charge induced by a gate voltage in a graphene strip is
investigated. We calculate analytically the charge profile and demonstrate a
strong(macroscopic) charge accumulation along the boundaries of a
micrometers-wide strip. This charge inhomogeneity is especially important in
the quantum Hall regime where we predict the doubling of the number of edge
states and coexistence of two different types of such states. Applications to
graphene-based nanoelectronics are discussed.
| cond-mat.mes-hall | distribution of charge induced by a gate voltage in a graphene strip is investigated we calculate analytically the charge profile and demonstrate a strongmacroscopic charge accumulation along the boundaries of a micrometerswide strip this charge inhomogeneity is especially important in the quantum hall regime where we predict the doubling of the number of edge states and coexistence of two different types of such states applications to graphenebased nanoelectronics are discussed | [['distribution', 'of', 'charge', 'induced', 'by', 'a', 'gate', 'voltage', 'in', 'a', 'graphene', 'strip', 'is', 'investigated', 'we', 'calculate', 'analytically', 'the', 'charge', 'profile', 'and', 'demonstrate', 'a', 'strongmacroscopic', 'charge', 'accumulation', 'along', 'the', 'boundaries', 'of', 'a', 'micrometerswide', 'strip', 'this', 'charge', 'inhomogeneity', 'is', 'especially', 'important', 'in', 'the', 'quantum', 'hall', 'regime', 'where', 'we', 'predict', 'the', 'doubling', 'of', 'the', 'number', 'of', 'edge', 'states', 'and', 'coexistence', 'of', 'two', 'different', 'types', 'of', 'such', 'states', 'applications', 'to', 'graphenebased', 'nanoelectronics', 'are', 'discussed']] | [-0.22543632055577986, 0.19679106774685137, -0.012514376903281492, 0.028886632735306835, 0.036949140927069545, -0.13551882227115772, 0.06965952010838972, 0.35853394764639873, -0.24859509723918402, -0.27178480691166923, 0.06409508871558287, -0.28171195864150134, -0.1463147797895705, 0.18698882448541768, -0.022113744754974237, 0.05926963485613027, -0.027678800726254636, -0.040588785784647745, -0.05657880311414106, -0.1544229001738131, 0.29298577795955627, -0.03737623745281085, 0.34671130513443665, 0.1389943705049946, 0.0319250455701395, -0.00011827515246456161, 0.03750281550866716, 0.05889834364985719, -0.15030031460885176, 0.05583512581549311, 0.2539902048130684, -0.0622622734757469, 0.23475274066988597, -0.46535857334075603, -0.21395794562447598, 0.03873879659017, 0.12394137826734497, 0.16218666976098628, -0.10619506256326157, -0.24962261193157995, 0.11368406351368107, -0.1731562490629799, -0.1551497329290963, -0.013831006034332164, 0.07373721238143523, 0.0322407379931332, -0.2351264218279325, 0.05813189123428481, 0.03918518953244476, 0.02126667815644075, -0.050918794387732356, -0.11040467811536099, -0.08925465867950526, 0.11723091115752193, 0.0034091222419994987, -0.018159664448295885, 0.2217175063868875, -0.17328464446301736, -0.13109242335400162, 0.3066497360191801, -0.01267056361607769, -0.18319164412370062, 0.15376141639289392, -0.18816538442693212, -0.03605406619745361, 0.07663524086477563, 0.13427986171753967, 0.10251686760388753, -0.12071985687704428, 0.08354694764506455, 0.012997911010375795, 0.11373187329702299, 0.09145780254894977, 0.0994087650495417, 0.28422781148487153, 0.19061920391943524, 0.09362150704049889, 0.20233357032103574, -0.16079796524718404, -0.07599917727330809, -0.29449049942195415, -0.2291941683027236, -0.22678766629713423, 0.05271488703403841, -0.04892266233518432, -0.21366850927006453, 0.5001730526085285, 0.14728063114863985, 0.21450077845742377, -0.09261841439258527, 0.25900210111456756, 0.15810674288556636, 0.057394323295311016, 0.021730536622378754, 0.20871534313568296, 0.16511617250644656, 0.08286819368710413, -0.2818933672901681, 0.03982924164601547, -0.00931827146868112] |
707.3464 | A comparison of three replication strategies in complex multicellular
organisms: Asexual replication, sexual replication with identical gametes,
and sexual replication with distinct sperm and egg gametes | This paper studies the mutation-selection balance in three simplified
replication models. The first model considers a population of organisms
replicating via the production of asexual spores. The second model considers a
sexually replicating population that produces identical gametes. The third
model considers a sexually replicating population that produces distinct sperm
and egg gametes. All models assume diploid organisms whose genomes consist of
two chromosomes, each of which is taken to be functional if equal to some
master sequence, and defective otherwise. In the asexual population, the
asexual diploid spores develop directly into adult organisms. In the sexual
populations, the haploid gametes enter a haploid pool, where they may fuse with
other haploids. The resulting immature diploid organisms then proceed to
develop into mature organisms. Based on an analysis of all three models, we
find that, as organism size increases, a sexually replicating population can
only outcompete an asexually replicating population if the adult organisms
produce distinct sperm and egg gametes. A sexual replication strategy that is
based on the production of large numbers of sperm cells to fertilize a small
number of eggs is found to be necessary in order to maintain a sufficiently low
cost for sex for the strategy to be selected for over a purely asexual
strategy. We discuss the usefulness of this model in understanding the
evolution and maintenance of sexual replication as the preferred replication
strategy in complex, multicellular organisms.
| q-bio.PE | this paper studies the mutationselection balance in three simplified replication models the first model considers a population of organisms replicating via the production of asexual spores the second model considers a sexually replicating population that produces identical gametes the third model considers a sexually replicating population that produces distinct sperm and egg gametes all models assume diploid organisms whose genomes consist of two chromosomes each of which is taken to be functional if equal to some master sequence and defective otherwise in the asexual population the asexual diploid spores develop directly into adult organisms in the sexual populations the haploid gametes enter a haploid pool where they may fuse with other haploids the resulting immature diploid organisms then proceed to develop into mature organisms based on an analysis of all three models we find that as organism size increases a sexually replicating population can only outcompete an asexually replicating population if the adult organisms produce distinct sperm and egg gametes a sexual replication strategy that is based on the production of large numbers of sperm cells to fertilize a small number of eggs is found to be necessary in order to maintain a sufficiently low cost for sex for the strategy to be selected for over a purely asexual strategy we discuss the usefulness of this model in understanding the evolution and maintenance of sexual replication as the preferred replication strategy in complex multicellular organisms | [['this', 'paper', 'studies', 'the', 'mutationselection', 'balance', 'in', 'three', 'simplified', 'replication', 'models', 'the', 'first', 'model', 'considers', 'a', 'population', 'of', 'organisms', 'replicating', 'via', 'the', 'production', 'of', 'asexual', 'spores', 'the', 'second', 'model', 'considers', 'a', 'sexually', 'replicating', 'population', 'that', 'produces', 'identical', 'gametes', 'the', 'third', 'model', 'considers', 'a', 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707.3465 | The stochastic edge in adaptive evolution | In a recent article, Desai and Fisher (2007) proposed that the speed of
adaptation in an asexual population is determined by the dynamics of the
stochastic edge of the population, that is, by the emergence and subsequent
establishment of rare mutants that exceed the fitness of all sequences
currently present in the population. Desai and Fisher perform an elaborate
stochastic calculation of the mean time $\tau$ until a new class of mutants has
been established, and interpret $1/\tau$ as the speed of adaptation. As they
note, however, their calculations are valid only for moderate speeds. This
limitation arises from their method to determine $\tau$: Desai and Fisher
back-extrapolate the value of $\tau$ from the best-fit class' exponential
growth at infinite time. This approach is not valid when the population adapts
rapidly, because in this case the best-fit class grows non-exponentially during
the relevant time interval. Here, we substantially extend Desai and Fisher's
analysis of the stochastic edge. We show that we can apply Desai and Fisher's
method to high speeds by either exponentially back-extrapolating from finite
time or using a non-exponential back-extrapolation. Our results are compatible
with predictions made using a different analytical approach (Rouzine et al.
2003, 2007), and agree well with numerical simulations.
| q-bio.PE | in a recent article desai and fisher 2007 proposed that the speed of adaptation in an asexual population is determined by the dynamics of the stochastic edge of the population that is by the emergence and subsequent establishment of rare mutants that exceed the fitness of all sequences currently present in the population desai and fisher perform an elaborate stochastic calculation of the mean time tau until a new class of mutants has been established and interpret 1tau as the speed of adaptation as they note however their calculations are valid only for moderate speeds this limitation arises from their method to determine tau desai and fisher backextrapolate the value of tau from the bestfit class exponential growth at infinite time this approach is not valid when the population adapts rapidly because in this case the bestfit class grows nonexponentially during the relevant time interval here we substantially extend desai and fishers analysis of the stochastic edge we show that we can apply desai and fishers method to high speeds by either exponentially backextrapolating from finite time or using a nonexponential backextrapolation our results are compatible with predictions made using a different analytical approach rouzine et al 2003 2007 and agree well with numerical simulations | [['in', 'a', 'recent', 'article', 'desai', 'and', 'fisher', '2007', 'proposed', 'that', 'the', 'speed', 'of', 'adaptation', 'in', 'an', 'asexual', 'population', 'is', 'determined', 'by', 'the', 'dynamics', 'of', 'the', 'stochastic', 'edge', 'of', 'the', 'population', 'that', 'is', 'by', 'the', 'emergence', 'and', 'subsequent', 'establishment', 'of', 'rare', 'mutants', 'that', 'exceed', 'the', 'fitness', 'of', 'all', 'sequences', 'currently', 'present', 'in', 'the', 'population', 'desai', 'and', 'fisher', 'perform', 'an', 'elaborate', 'stochastic', 'calculation', 'of', 'the', 'mean', 'time', 'tau', 'until', 'a', 'new', 'class', 'of', 'mutants', 'has', 'been', 'established', 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707.3466 | Einsteinian gravity from a topological action | The curvature-squared model of gravity, in the affine form proposed by Weyl
and Yang, is deduced from a topological action in 4D. More specifically, we
start from the Pontrjagin (or Euler) invariant. Using the BRST antifield
formalism with a double duality gauge fixing, we obtain a consistent
quantization in spaces of double dual curvature as classical instanton type
background.
However, exact vacuum solutions with double duality properties exhibit a
`vacuum degeneracy'. By modifying the duality via a scale breaking term, we
demonstrate that only Einstein's equations with an induced cosmological
constant emerge for the topology of the macroscopic background. This may have
repercussions on the problem of `dark energy' as well as `dark matter' modeled
by a torsion induced quintaxion.
| hep-th | the curvaturesquared model of gravity in the affine form proposed by weyl and yang is deduced from a topological action in 4d more specifically we start from the pontrjagin or euler invariant using the brst antifield formalism with a double duality gauge fixing we obtain a consistent quantization in spaces of double dual curvature as classical instanton type background however exact vacuum solutions with double duality properties exhibit a vacuum degeneracy by modifying the duality via a scale breaking term we demonstrate that only einsteins equations with an induced cosmological constant emerge for the topology of the macroscopic background this may have repercussions on the problem of dark energy as well as dark matter modeled by a torsion induced quintaxion | [['the', 'curvaturesquared', 'model', 'of', 'gravity', 'in', 'the', 'affine', 'form', 'proposed', 'by', 'weyl', 'and', 'yang', 'is', 'deduced', 'from', 'a', 'topological', 'action', 'in', '4d', 'more', 'specifically', 'we', 'start', 'from', 'the', 'pontrjagin', 'or', 'euler', 'invariant', 'using', 'the', 'brst', 'antifield', 'formalism', 'with', 'a', 'double', 'duality', 'gauge', 'fixing', 'we', 'obtain', 'a', 'consistent', 'quantization', 'in', 'spaces', 'of', 'double', 'dual', 'curvature', 'as', 'classical', 'instanton', 'type', 'background', 'however', 'exact', 'vacuum', 'solutions', 'with', 'double', 'duality', 'properties', 'exhibit', 'a', 'vacuum', 'degeneracy', 'by', 'modifying', 'the', 'duality', 'via', 'a', 'scale', 'breaking', 'term', 'we', 'demonstrate', 'that', 'only', 'einsteins', 'equations', 'with', 'an', 'induced', 'cosmological', 'constant', 'emerge', 'for', 'the', 'topology', 'of', 'the', 'macroscopic', 'background', 'this', 'may', 'have', 'repercussions', 'on', 'the', 'problem', 'of', 'dark', 'energy', 'as', 'well', 'as', 'dark', 'matter', 'modeled', 'by', 'a', 'torsion', 'induced', 'quintaxion']] | [-0.1552838141034052, 0.1596397660574103, -0.1096921210772037, 0.1230232293615822, -0.10394911407766973, -0.14452886450918345, -0.01568247436569268, 0.2771880582225423, -0.2625697929756481, -0.30231786387808185, 0.04866400816548271, -0.22273167274195796, -0.1838953954367233, 0.12550305961063837, -0.060797502184991074, 0.007736224761357954, -0.029560194426106617, 0.060264914680053204, -0.13256981679406643, -0.2192332114194747, 0.39492751071777416, 0.03419693261619751, 0.25714396835625675, 0.019326722347216697, 0.1464150731506593, 0.005956231853181199, -0.010536807209660276, 0.06693255765551404, -0.12839511780983215, 0.06235845943525465, 0.18865828811457114, 0.042771901772944494, 0.1531739451750299, -0.4357970692060825, -0.2375536774981673, 0.08485052520761407, 0.11073035471035685, 0.13976096445616304, -0.0978489628394512, -0.3412233793153232, 0.05910304536213394, -0.1867281998460721, -0.15774207224995054, -0.0721420865905072, -0.047700382964763824, -0.045568070418451824, -0.21620874404281126, 0.08454359695315361, 0.02048636137159588, 0.00836682426860603, -0.09999270845271115, -0.052287124026911096, -0.06165236349906303, 0.04369201984045198, 0.10778430288465803, 0.04464044455955384, 0.11341120065150767, -0.19775931422105608, -0.1492461350897108, 0.4052900300134255, -0.13674857915073885, -0.24992815074863053, 0.09869290334994302, -0.09375149386097528, -0.14266675506804546, 0.09993836996556424, 0.06722454923525953, 0.15170633247779572, -0.10242458569089405, 0.2183722380246427, -0.03644088787973678, 0.09608802819984551, 0.11344549025432403, 0.051449284689234834, 0.25963380410406395, 0.0844410333798087, 0.056106834690000454, 0.13135605272611978, -0.01610924579993579, -0.12080570590680371, -0.3970789391578746, -0.15889268246274016, -0.1426843889018505, 0.1512721235229939, -0.10112378596484235, -0.18351486185956903, 0.3462836204327549, 0.05734776277554871, 0.17475486032962173, 0.06168836019463649, 0.23385977847188585, 0.11020888538127217, 0.07551944326460674, 0.010157580329927014, 0.2726586344104041, 0.17138708368170724, 0.06909455189299417, -0.25712879014029283, -0.06706637823406388, 0.17885955860603506] |
707.3467 | Generalized momenta of mass and their applications to the flow of
compressible fluid | We present a technique that allows to obtain certain results in the
compressible fluid theory: in particular, it is a nonexistence result for the
highly decreasing at infinity solutions to the Navier-Stokes equations, the
construction of the solutions with uniform deformation and the study of
behavior of the boundary of a material volume of liquid.
| math.AP math-ph math.MP | we present a technique that allows to obtain certain results in the compressible fluid theory in particular it is a nonexistence result for the highly decreasing at infinity solutions to the navierstokes equations the construction of the solutions with uniform deformation and the study of behavior of the boundary of a material volume of liquid | [['we', 'present', 'a', 'technique', 'that', 'allows', 'to', 'obtain', 'certain', 'results', 'in', 'the', 'compressible', 'fluid', 'theory', 'in', 'particular', 'it', 'is', 'a', 'nonexistence', 'result', 'for', 'the', 'highly', 'decreasing', 'at', 'infinity', 'solutions', 'to', 'the', 'navierstokes', 'equations', 'the', 'construction', 'of', 'the', 'solutions', 'with', 'uniform', 'deformation', 'and', 'the', 'study', 'of', 'behavior', 'of', 'the', 'boundary', 'of', 'a', 'material', 'volume', 'of', 'liquid']] | [-0.15765130511400374, 0.09645086299120025, -0.13863726045767014, -0.018953579433516346, -0.0397985079749064, -0.10050803574479439, 0.0015392890898510813, 0.24562065811319786, -0.25501431284303017, -0.25619094741361387, 0.1551818523598327, -0.2753733857156476, -0.1390420945530588, 0.17469468198039315, -0.04882087699052962, 0.07816623063250021, 0.05033187547867948, 0.011602583629163828, -0.10765395013361492, -0.1994375203651461, 0.35145257122983986, 0.01515566014092077, 0.28520668983798136, 0.06878040449016473, 0.11263447155519812, -0.04825031362832471, 0.023763874579559672, 0.05985718606547876, -0.21617684590019054, 0.1070710062387992, 0.23987855992533944, 0.04523345658724958, 0.2545292256230658, -0.42470656799321826, -0.21230450024860065, 0.04685544142160903, 0.09693832790309732, 0.1711769899353385, -0.05764517577322708, -0.23926675946197726, 0.11689507846551185, -0.15220539547841658, -0.24645966584370896, -0.07519970338114283, -0.013233529099009253, 0.059380347780692816, -0.24927210475910794, 0.08087014422582632, 0.10782190786505287, 0.0030417971249500457, -0.1710472996780564, -0.02348435257815502, 0.0021415318531746216, 0.08847771841524676, 0.11336318666792729, 0.019144041307101196, 0.05977911591021852, -0.19276901060207324, -0.019128077748146923, 0.3862999324771491, -0.08981650527566672, -0.2732562108812007, 0.22811385313556953, -0.17695295989344065, -0.07827265138991854, 0.17051261155442757, 0.1736915843730623, 0.17213313543999736, -0.10694721281867135, 0.09496811293806373, -0.0922367188719694, 0.15145663358271122, 0.060097540203820576, -0.03608014372770082, 0.1359731764955954, 0.1853645817673003, 0.12359989448027177, 0.18994199092902073, -0.050940846689892086, -0.08859400194646283, -0.3571819710460576, -0.21358227261225693, -0.14116683820770545, 0.0620303006673401, -0.12216976489845283, -0.2546459320593964, 0.37514701008119367, 0.1302267246117646, 0.17393062585456806, 0.07730133987285874, 0.2249147121498192, 0.11785784125836059, 0.0006351632828062231, 0.05394430058076978, 0.22401090306653218, 0.1751472347839312, 0.1576982174746015, -0.2145514192313633, 0.015000396518206055, 0.1377857926555655] |
707.3468 | The effect of negative feedback loops on the dynamics of Boolean
networks | Feedback loops in a dynamic network play an important role in determining the
dynamics of that network. Through a computational study, in this paper we show
that networks with fewer independent negative feedback loops tend to exhibit
more regular behavior than those with more negative loops. To be precise, we
study the relationship between the number of independent feedback loops and the
number and length of the limit cycles in the phase space of dynamic Boolean
networks. We show that, as the number of independent negative feedback loops
increases, the number (length) of limit cycles tends to decrease (increase).
These conclusions are consistent with the fact, for certain natural biological
networks, that they on the one hand exhibit generally regular behavior and on
the other hand show less negative feedback loops than randomized networks with
the same numbers of nodes and connectivity.
| q-bio.QM q-bio.MN | feedback loops in a dynamic network play an important role in determining the dynamics of that network through a computational study in this paper we show that networks with fewer independent negative feedback loops tend to exhibit more regular behavior than those with more negative loops to be precise we study the relationship between the number of independent feedback loops and the number and length of the limit cycles in the phase space of dynamic boolean networks we show that as the number of independent negative feedback loops increases the number length of limit cycles tends to decrease increase these conclusions are consistent with the fact for certain natural biological networks that they on the one hand exhibit generally regular behavior and on the other hand show less negative feedback loops than randomized networks with the same numbers of nodes and connectivity | [['feedback', 'loops', 'in', 'a', 'dynamic', 'network', 'play', 'an', 'important', 'role', 'in', 'determining', 'the', 'dynamics', 'of', 'that', 'network', 'through', 'a', 'computational', 'study', 'in', 'this', 'paper', 'we', 'show', 'that', 'networks', 'with', 'fewer', 'independent', 'negative', 'feedback', 'loops', 'tend', 'to', 'exhibit', 'more', 'regular', 'behavior', 'than', 'those', 'with', 'more', 'negative', 'loops', 'to', 'be', 'precise', 'we', 'study', 'the', 'relationship', 'between', 'the', 'number', 'of', 'independent', 'feedback', 'loops', 'and', 'the', 'number', 'and', 'length', 'of', 'the', 'limit', 'cycles', 'in', 'the', 'phase', 'space', 'of', 'dynamic', 'boolean', 'networks', 'we', 'show', 'that', 'as', 'the', 'number', 'of', 'independent', 'negative', 'feedback', 'loops', 'increases', 'the', 'number', 'length', 'of', 'limit', 'cycles', 'tends', 'to', 'decrease', 'increase', 'these', 'conclusions', 'are', 'consistent', 'with', 'the', 'fact', 'for', 'certain', 'natural', 'biological', 'networks', 'that', 'they', 'on', 'the', 'one', 'hand', 'exhibit', 'generally', 'regular', 'behavior', 'and', 'on', 'the', 'other', 'hand', 'show', 'less', 'negative', 'feedback', 'loops', 'than', 'randomized', 'networks', 'with', 'the', 'same', 'numbers', 'of', 'nodes', 'and', 'connectivity']] | [-0.17713146912373445, 0.16955652518099926, -0.006281336887516606, 0.0800524262578594, -0.06373052853881053, -0.1314016963342126, 0.06779816624147712, 0.39338606679943244, -0.23440795116664342, -0.32235297202591745, 0.09612059866202811, -0.2827279494590008, -0.22004891900529325, 0.22037473625280488, -0.042174796718107144, -0.022786423950915187, 0.07349825070116527, 0.09102530240140279, -0.00266054189562286, -0.24466376529160466, 0.3385820809791101, 0.06775229510155992, 0.2646859007769487, 0.01078191705205491, 0.046481463723671686, -0.021578207743209853, -0.024712487381332044, 0.11364299030199772, -0.07203098607489768, 0.10617572853577809, 0.1937666863617471, 0.09197732277853377, 0.28307686625442036, -0.4764960959658656, -0.2358650281421945, 0.16092322890574612, 0.16828754179271488, 0.0968045120416078, -0.002480601324760486, -0.17458809442444323, 0.12206153814274241, -0.12753426369843662, -0.09024113438315165, -0.03633347736068175, 0.04174501452722888, 0.035169210589526594, -0.24488377098066233, 0.03977315680084514, 0.0740268497767163, 0.052283198228368244, -0.0007433018279852162, -0.11089976902880615, -0.04305297617052852, 0.19696887728797507, 0.04017692604298952, 0.007834765955176152, 0.12816917322064475, -0.16400450425268426, -0.13493546772039902, 0.2953825115068803, -0.013108248039661959, -0.17447613737165507, 0.22323846536963968, -0.1671787458012851, -0.15865037849760766, 0.14051912390318713, 0.19478427123566958, 0.10232997908663581, -0.06368464996880839, -0.02543082676703294, -0.050050847914437174, 0.1909198515472973, 0.07775407476337548, 0.0683376630177905, 0.16028527449816465, 0.15588797201258195, 0.1017112295130189, 0.15015306613616264, -0.005457540655928388, -0.12978141769622517, -0.26562799491040723, -0.10951701583157122, -0.11503145557133035, 0.04922178237306275, -0.1560021587217089, -0.20271247667326053, 0.3463502086561278, 0.15728349247816162, 0.2687720478000775, 0.11981897408300092, 0.2711241335778589, 0.10176057793104916, 0.09760355299443636, 0.09386427170255969, 0.19895042809264235, 0.13076042965166007, 0.10935216326541988, -0.24764358817311136, 0.0928012836350679, 0.03757461868751217] |
707.3469 | The traveling wave approach to asexual evolution: Muller's ratchet and
speed of adaptation | We use traveling-wave theory to derive expressions for the rate of
accumulation of deleterious mutations under Muller's ratchet and the speed of
adaptation under positive selection in asexual populations. Traveling-wave
theory is a semi-deterministic description of an evolving population, where the
bulk of the population is modeled using deterministic equations, but the class
of the highest-fitness genotypes, whose evolution over time determines loss or
gain of fitness in the population, is given proper stochastic treatment. We
derive improved methods to model the highest-fitness class (the stochastic
edge) for both Muller's ratchet and adaptive evolution, and calculate analytic
correction terms that compensate for inaccuracies which arise when treating
discrete fitness classes as a continuum. We show that traveling wave theory
makes excellent predictions for the rate of mutation accumulation in the case
of Muller's ratchet, and makes good predictions for the speed of adaptation in
a very broad parameter range. We predict the adaptation rate to grow
logarithmically in the population size until the population size is extremely
large.
| q-bio.PE | we use travelingwave theory to derive expressions for the rate of accumulation of deleterious mutations under mullers ratchet and the speed of adaptation under positive selection in asexual populations travelingwave theory is a semideterministic description of an evolving population where the bulk of the population is modeled using deterministic equations but the class of the highestfitness genotypes whose evolution over time determines loss or gain of fitness in the population is given proper stochastic treatment we derive improved methods to model the highestfitness class the stochastic edge for both mullers ratchet and adaptive evolution and calculate analytic correction terms that compensate for inaccuracies which arise when treating discrete fitness classes as a continuum we show that traveling wave theory makes excellent predictions for the rate of mutation accumulation in the case of mullers ratchet and makes good predictions for the speed of adaptation in a very broad parameter range we predict the adaptation rate to grow logarithmically in the population size until the population size is extremely large | [['we', 'use', 'travelingwave', 'theory', 'to', 'derive', 'expressions', 'for', 'the', 'rate', 'of', 'accumulation', 'of', 'deleterious', 'mutations', 'under', 'mullers', 'ratchet', 'and', 'the', 'speed', 'of', 'adaptation', 'under', 'positive', 'selection', 'in', 'asexual', 'populations', 'travelingwave', 'theory', 'is', 'a', 'semideterministic', 'description', 'of', 'an', 'evolving', 'population', 'where', 'the', 'bulk', 'of', 'the', 'population', 'is', 'modeled', 'using', 'deterministic', 'equations', 'but', 'the', 'class', 'of', 'the', 'highestfitness', 'genotypes', 'whose', 'evolution', 'over', 'time', 'determines', 'loss', 'or', 'gain', 'of', 'fitness', 'in', 'the', 'population', 'is', 'given', 'proper', 'stochastic', 'treatment', 'we', 'derive', 'improved', 'methods', 'to', 'model', 'the', 'highestfitness', 'class', 'the', 'stochastic', 'edge', 'for', 'both', 'mullers', 'ratchet', 'and', 'adaptive', 'evolution', 'and', 'calculate', 'analytic', 'correction', 'terms', 'that', 'compensate', 'for', 'inaccuracies', 'which', 'arise', 'when', 'treating', 'discrete', 'fitness', 'classes', 'as', 'a', 'continuum', 'we', 'show', 'that', 'traveling', 'wave', 'theory', 'makes', 'excellent', 'predictions', 'for', 'the', 'rate', 'of', 'mutation', 'accumulation', 'in', 'the', 'case', 'of', 'mullers', 'ratchet', 'and', 'makes', 'good', 'predictions', 'for', 'the', 'speed', 'of', 'adaptation', 'in', 'a', 'very', 'broad', 'parameter', 'range', 'we', 'predict', 'the', 'adaptation', 'rate', 'to', 'grow', 'logarithmically', 'in', 'the', 'population', 'size', 'until', 'the', 'population', 'size', 'is', 'extremely', 'large']] | [-0.10627646268631545, 0.11333392406836593, -0.0597290264173265, 0.0894799970471895, -0.04443028623922672, -0.15465005347224692, 0.08663772848429135, 0.3664165250957012, -0.27045036776058645, -0.2706046516457236, 0.07368645941802154, -0.20225405205512442, -0.1643011659742838, 0.1924786715044539, -0.09896847742738718, 0.015651458335748637, 0.062102479589485886, 0.0018736570793013256, 0.016230343507198864, -0.22213397340018706, 0.2593882477657129, 0.0583570830899863, 0.289505518501602, -0.00686314256640196, 0.1438498913874311, 0.010125559852851263, -0.039333295099527, 0.026457492636617678, -0.15140901587902447, 0.0635457383019917, 0.22521604975707918, 0.11903572956616261, 0.3138479406956628, -0.400548088527004, -0.24725120243755258, 0.13393292206771537, 0.1602678350281638, 0.22107039774271536, -0.06949975765422435, -0.2084622556211831, 0.060755267722464826, -0.17593991182374918, -0.1684224366663439, -0.02441813723683492, 0.05565091417204723, 0.07272744967590973, -0.3189743360341807, 0.11643506887267871, 0.04283899386660252, 0.04930110051470573, -0.09100852963228497, -0.09455916204094236, -0.04625731280090355, 0.13686860840103493, 0.05797078808648961, -0.0062141600618958025, 0.15273407802086728, -0.16279093229144542, -0.08918944606557488, 0.3374426665025797, -0.10797414216717863, -0.21626178976092264, 0.2081822999500591, -0.15474132067490234, -0.07095308846468668, 0.16071503597917597, 0.2159592497207404, 0.12049078318453113, -0.1596511198613261, 0.06864486156586917, 0.00823150953870191, 0.1378045104505741, 0.06403956330572087, 0.039795174678585614, 0.16167900253000322, 0.20313625690297235, 0.07842504649411842, 0.130882483937901, -0.0898245594286113, -0.1929876502653786, -0.2735892481742853, -0.11913965729413083, -0.13984691649072253, 0.07790648419133328, -0.1061437154979114, -0.21513907110363426, 0.3794354671073786, 0.1382420705312285, 0.17406859250279166, 0.16080872813332264, 0.23576132794954333, 0.15901543668973406, 0.04393020402415689, 0.05580953897134098, 0.1796735538803013, 0.10540239561730659, 0.051959773805413216, -0.3051290737285492, 0.13295445611268417, 0.03780188545702497] |
707.347 | Convergence of Kaehler-Ricci flow with integral curvature bound | Let $g(t)$, $t\in [0, +\infty)$, be a solution of the normalized
K\"ahler-Ricci flow on a compact K\"ahler $n$-manifold $M$ with $c_{1}(M)>0$
and initial metric $g (0)\in 2\pi c_{1}(M)$.
If there is a constant $C$ independent of $t$ such that $$
\int_{M}|Rm(g(t))|^{n}dv_{t}\leq C,$$ then, for any $t_{k}\to \infty$, a
subsequence of $(M, g(t_{k}))$ converges to a compact orbifold $(X, h)$ with
only finite many singular points $\{q_{j}\}$ in the Gromov-Hausdorff sense,
where $h$ is a K\"ahler metric on $X\backslash \{q_{j}\}$ satisfying the
K\"ahler-Ricci soliton equation, i.e. there is a smooth function $f$ such that
$$Ric(h)-h=\nabla\bar{\nabla}f, {\rm and}\it \nabla \nabla f=\bar{\nabla}
\bar{\nabla} f=0. $$
| math.DG math.GT | let gt tin 0 infty be a solution of the normalized kahlerricci flow on a compact kahler nmanifold m with c_1m0 and initial metric g 0in 2pi c_1m if there is a constant c independent of t such that int_mrmgtndv_tleq c then for any t_kto infty a subsequence of m gt_k converges to a compact orbifold x h with only finite many singular points q_j in the gromovhausdorff sense where h is a kahler metric on xbackslash q_j satisfying the kahlerricci soliton equation ie there is a smooth function f such that richhnablabarnablaf rm andit nabla nabla fbarnabla barnabla f0 | [['let', 'gt', 'tin', '0', 'infty', 'be', 'a', 'solution', 'of', 'the', 'normalized', 'kahlerricci', 'flow', 'on', 'a', 'compact', 'kahler', 'nmanifold', 'm', 'with', 'c_1m0', 'and', 'initial', 'metric', 'g', '0in', '2pi', 'c_1m', 'if', 'there', 'is', 'a', 'constant', 'c', 'independent', 'of', 't', 'such', 'that', 'int_mrmgtndv_tleq', 'c', 'then', 'for', 'any', 't_kto', 'infty', 'a', 'subsequence', 'of', 'm', 'gt_k', 'converges', 'to', 'a', 'compact', 'orbifold', 'x', 'h', 'with', 'only', 'finite', 'many', 'singular', 'points', 'q_j', 'in', 'the', 'gromovhausdorff', 'sense', 'where', 'h', 'is', 'a', 'kahler', 'metric', 'on', 'xbackslash', 'q_j', 'satisfying', 'the', 'kahlerricci', 'soliton', 'equation', 'ie', 'there', 'is', 'a', 'smooth', 'function', 'f', 'such', 'that', 'richhnablabarnablaf', 'rm', 'andit', 'nabla', 'nabla', 'fbarnabla', 'barnabla', 'f0']] | [-0.2660764049381969, 0.1172944056613252, -0.08828035009866382, -0.0015107607778577887, -0.08282934313025722, -0.25047622700816297, -0.021149499455783913, 0.38589850206799964, -0.28884774585195044, -0.0886096508995174, 0.06852536368495883, -0.35163309020881955, -0.07657343357246607, 0.12076215545567585, -0.10843788512283936, 0.016149070797527722, 0.07037686730457589, 0.16299307581156175, -0.09727169915617621, -0.21750423683230072, 0.3836323529323365, -0.14952019195845154, 0.16203797565020145, 0.0747086711604386, 0.156484773905175, -0.09717869650116785, 0.1153455486897617, 0.008792048505943348, -0.24406416038069206, -0.025472623672574125, 0.26166957908092026, 0.10129909020991924, 0.2761760378613117, -0.28503888953220785, -0.17130452139857918, 0.2785897533746159, 0.14660715907217658, -0.1351776840437719, -0.012087105072420487, -0.2825968103740919, 0.2117790542394319, -0.046791893043654394, -0.16134440974193684, -0.03722426704467928, 0.17018338926433724, 0.05693045272145103, -0.33240717104537054, -0.014120153404098558, 0.11466542180587953, -0.0034798994719823623, -0.016621843480723018, -0.1366973250529709, -0.13350999681279063, 0.005585166321017165, 0.039336367235320836, 0.29758261635087113, 0.08535263553866126, -0.04182118961607364, 0.03716018512978793, 0.35687396589522946, -0.2201753159132885, -0.29921782819276793, 0.02167854794955, -0.16067155909803796, -0.12632395801174037, 0.10304393750080403, 0.05967232791033197, 0.267787557323166, 0.0068665566938394245, 0.3081784487418345, -0.08087461493275266, 0.12398573314335118, 0.14610303566850563, -0.02776716956670614, 0.08737182399961463, 0.09643594110929506, 0.21361696476827652, 0.002567749058064866, 0.020353660933633753, 0.027454893629839446, -0.42476273288435124, -0.1927463702778233, -0.17819946079962004, 0.3147945873974327, -0.1937417360021116, -0.20142893168900008, 0.2714123588174264, -0.060018430627446544, 0.2605720704540293, 0.1193509527402831, 0.17159262869229658, 0.0684764294221284, -0.03940070574072764, 0.19593469632982694, 0.05411167816318413, 0.18520949857230198, 0.04942425422276311, -0.14818530231763788, -0.05950952943493711, 0.15197754662206514] |
707.3471 | Eternal Chaotic Inflation is Prohibited by Weak Gravity Conjecture | We investigate whether the eternal chaotic inflation can be achieved when the
weak gravity conjecture is taken into account. We show that even the assisted
chaotic inflation with potential $\lambda\phi^4$ or $m^2\phi^2$ can not be
eternal. The effective field theory description for the inflaton field breaks
down before inflation reaches the eternal regime. We also find that the total
number of e-folds is still bounded by the inflationary entropy for the assisted
inflation.
| hep-th astro-ph gr-qc hep-ph | we investigate whether the eternal chaotic inflation can be achieved when the weak gravity conjecture is taken into account we show that even the assisted chaotic inflation with potential lambdaphi4 or m2phi2 can not be eternal the effective field theory description for the inflaton field breaks down before inflation reaches the eternal regime we also find that the total number of efolds is still bounded by the inflationary entropy for the assisted inflation | [['we', 'investigate', 'whether', 'the', 'eternal', 'chaotic', 'inflation', 'can', 'be', 'achieved', 'when', 'the', 'weak', 'gravity', 'conjecture', 'is', 'taken', 'into', 'account', 'we', 'show', 'that', 'even', 'the', 'assisted', 'chaotic', 'inflation', 'with', 'potential', 'lambdaphi4', 'or', 'm2phi2', 'can', 'not', 'be', 'eternal', 'the', 'effective', 'field', 'theory', 'description', 'for', 'the', 'inflaton', 'field', 'breaks', 'down', 'before', 'inflation', 'reaches', 'the', 'eternal', 'regime', 'we', 'also', 'find', 'that', 'the', 'total', 'number', 'of', 'efolds', 'is', 'still', 'bounded', 'by', 'the', 'inflationary', 'entropy', 'for', 'the', 'assisted', 'inflation']] | [-0.18029156563905616, 0.27940307280737653, -0.14025367551470455, 0.1782760698673609, -0.06701988058502799, -0.2290415738722029, -0.021705708920968417, 0.2670560884098076, -0.2296936530428492, -0.2745990938800451, 0.106717685798872, -0.1759075702786803, -0.13554172641725268, 0.16643270353263576, -0.07574942725876423, -0.010159890467224464, 0.05481945736053055, 0.07048651923055518, 0.04867505656925272, -0.33078483191050895, 0.28475450022681936, 0.07368328260283356, 0.20617779044510975, 0.04276377954584074, 0.0701931902344581, -0.047859144263122586, 0.09630656974670822, 0.03916352647930792, -0.19329205559258036, 0.01790371962443428, 0.13478152020770598, 0.15844980161637068, 0.2899832950828418, -0.4718244112007422, -0.29688316090223826, 0.22809394951016732, 0.17704492815043013, 0.19884073149974216, -0.02825811568469013, -0.2659696978708244, 0.07882900468443763, -0.1363212387013721, -0.12010649474950073, -0.10772743012296827, -0.00014519572500394632, -0.1305375000946734, -0.31194871126304136, 0.10171763836932432, 0.012954073256417497, 0.0030075985657638067, -0.03317884095523455, 0.04340797348892036, -0.06335077490912724, 0.032347127714286855, 0.1448232789064617, 0.05070693240411682, 0.15573455458060417, -0.1828754918062932, -0.03667686912167358, 0.3409755508070939, -0.17191953818817712, -0.08239582260075497, 0.07351955569872301, -0.17499589268118143, -0.10716359006011322, 0.10102972135024324, 0.053222852350812255, 0.08149591984533489, -0.0862248979920716, 0.22706531827682502, 0.07635670113185905, 0.14988057320452716, 0.12139171595391754, 0.0027113502513464185, 0.37508138276840725, 0.10539235011036571, 0.04227096990567364, 0.15621408637396175, -0.00850515985504201, -0.16103970917094856, -0.3986989379771156, -0.06805467460151404, -0.1441283971900503, 0.095026507224347, -0.1584075745960621, -0.16331921680511474, 0.3898664513628369, 0.1702506493981162, 0.17738522169473644, 0.0815465947204869, 0.25280296031947, 0.16273347664726515, 0.02997073881991514, 0.10500322563624749, 0.3545918018136123, 0.07957076316871617, 0.12798027041980564, -0.24094261837587372, -0.024086633435616345, 0.07457733100135842] |
707.3472 | Phase transition of meshwork models for spherical membranes | We have studied two types of meshwork models by using the canonical Monte
Carlo simulation technique. The first meshwork model has elastic junctions,
which are composed of vertices, bonds, and triangles, while the second model
has rigid junctions, which are hexagonal (or pentagonal) rigid plates.
Two-dimensional elasticity is assumed only at the elastic junctions in the
first model, and no two-dimensional bending elasticity is assumed in the second
model. Both of the meshworks are of spherical topology. We find that both
models undergo a first-order collapsing transition between the smooth spherical
phase and the collapsed phase. The Hausdorff dimension of the smooth phase is
H\simeq 2 in both models as expected. It is also found that H\simeq 2 in the
collapsed phase of the second model, and that H is relatively larger than 2 in
the collapsed phase of the first model, but it remains in the physical bound,
i.e., H<3. Moreover, the first model undergoes a discontinuous surface
fluctuation transition at the same transition point as that of the collapsing
transition, while the second model undergoes a continuous transition of surface
fluctuation. This indicates that the phase structure of the meshwork model is
weakly dependent on the elasticity at the junctions.
| cond-mat.stat-mech cond-mat.soft | we have studied two types of meshwork models by using the canonical monte carlo simulation technique the first meshwork model has elastic junctions which are composed of vertices bonds and triangles while the second model has rigid junctions which are hexagonal or pentagonal rigid plates twodimensional elasticity is assumed only at the elastic junctions in the first model and no twodimensional bending elasticity is assumed in the second model both of the meshworks are of spherical topology we find that both models undergo a firstorder collapsing transition between the smooth spherical phase and the collapsed phase the hausdorff dimension of the smooth phase is hsimeq 2 in both models as expected it is also found that hsimeq 2 in the collapsed phase of the second model and that h is relatively larger than 2 in the collapsed phase of the first model but it remains in the physical bound ie h3 moreover the first model undergoes a discontinuous surface fluctuation transition at the same transition point as that of the collapsing transition while the second model undergoes a continuous transition of surface fluctuation this indicates that the phase structure of the meshwork model is weakly dependent on the elasticity at the junctions | [['we', 'have', 'studied', 'two', 'types', 'of', 'meshwork', 'models', 'by', 'using', 'the', 'canonical', 'monte', 'carlo', 'simulation', 'technique', 'the', 'first', 'meshwork', 'model', 'has', 'elastic', 'junctions', 'which', 'are', 'composed', 'of', 'vertices', 'bonds', 'and', 'triangles', 'while', 'the', 'second', 'model', 'has', 'rigid', 'junctions', 'which', 'are', 'hexagonal', 'or', 'pentagonal', 'rigid', 'plates', 'twodimensional', 'elasticity', 'is', 'assumed', 'only', 'at', 'the', 'elastic', 'junctions', 'in', 'the', 'first', 'model', 'and', 'no', 'twodimensional', 'bending', 'elasticity', 'is', 'assumed', 'in', 'the', 'second', 'model', 'both', 'of', 'the', 'meshworks', 'are', 'of', 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707.3473 | Averages over hyperplanes, sum-product theory in vector spaces over
finite fields and the Erdos-Falconer distance conjecture | We prove a point-wise and average bound for the number of incidences between
points and hyper-planes in vector spaces over finite fields. While our
estimates are, in general, sharp, we observe an improvement for product sets
and sets contained in a sphere. We use these incidence bounds to obtain
significant improvements on the arithmetic problem of covering ${\mathbb F}_q$,
the finite field with q elements, by $A \cdot A+... +A \cdot A$, where A is a
subset ${\mathbb F}_q$ of sufficiently large size. We also use the incidence
machinery we develope and arithmetic constructions to study the Erdos-Falconer
distance conjecture in vector spaces over finite fields. We prove that the
natural analog of the Euclidean Erdos-Falconer distance conjecture does not
hold in this setting due to the influence of the arithmetic. On the positive
side, we obtain good exponents for the Erdos -Falconer distance problem for
subsets of the unit sphere in $\mathbb F_q^d$ and discuss their sharpness. This
results in a reasonably complete description of the Erdos-Falconer distance
problem in higher dimensional vector spaces over general finite fields.
| math.CA math.CO | we prove a pointwise and average bound for the number of incidences between points and hyperplanes in vector spaces over finite fields while our estimates are in general sharp we observe an improvement for product sets and sets contained in a sphere we use these incidence bounds to obtain significant improvements on the arithmetic problem of covering mathbb f_q the finite field with q elements by a cdot a a cdot a where a is a subset mathbb f_q of sufficiently large size we also use the incidence machinery we develope and arithmetic constructions to study the erdosfalconer distance conjecture in vector spaces over finite fields we prove that the natural analog of the euclidean erdosfalconer distance conjecture does not hold in this setting due to the influence of the arithmetic on the positive side we obtain good exponents for the erdos falconer distance problem for subsets of the unit sphere in mathbb f_qd and discuss their sharpness this results in a reasonably complete description of the erdosfalconer distance problem in higher dimensional vector spaces over general finite fields | [['we', 'prove', 'a', 'pointwise', 'and', 'average', 'bound', 'for', 'the', 'number', 'of', 'incidences', 'between', 'points', 'and', 'hyperplanes', 'in', 'vector', 'spaces', 'over', 'finite', 'fields', 'while', 'our', 'estimates', 'are', 'in', 'general', 'sharp', 'we', 'observe', 'an', 'improvement', 'for', 'product', 'sets', 'and', 'sets', 'contained', 'in', 'a', 'sphere', 'we', 'use', 'these', 'incidence', 'bounds', 'to', 'obtain', 'significant', 'improvements', 'on', 'the', 'arithmetic', 'problem', 'of', 'covering', 'mathbb', 'f_q', 'the', 'finite', 'field', 'with', 'q', 'elements', 'by', 'a', 'cdot', 'a', 'a', 'cdot', 'a', 'where', 'a', 'is', 'a', 'subset', 'mathbb', 'f_q', 'of', 'sufficiently', 'large', 'size', 'we', 'also', 'use', 'the', 'incidence', 'machinery', 'we', 'develope', 'and', 'arithmetic', 'constructions', 'to', 'study', 'the', 'erdosfalconer', 'distance', 'conjecture', 'in', 'vector', 'spaces', 'over', 'finite', 'fields', 'we', 'prove', 'that', 'the', 'natural', 'analog', 'of', 'the', 'euclidean', 'erdosfalconer', 'distance', 'conjecture', 'does', 'not', 'hold', 'in', 'this', 'setting', 'due', 'to', 'the', 'influence', 'of', 'the', 'arithmetic', 'on', 'the', 'positive', 'side', 'we', 'obtain', 'good', 'exponents', 'for', 'the', 'erdos', 'falconer', 'distance', 'problem', 'for', 'subsets', 'of', 'the', 'unit', 'sphere', 'in', 'mathbb', 'f_qd', 'and', 'discuss', 'their', 'sharpness', 'this', 'results', 'in', 'a', 'reasonably', 'complete', 'description', 'of', 'the', 'erdosfalconer', 'distance', 'problem', 'in', 'higher', 'dimensional', 'vector', 'spaces', 'over', 'general', 'finite', 'fields']] | [-0.16181078607049984, 0.08173688913654216, -0.053565329406410456, 0.08037761797251794, -0.03120403618723487, -0.07423801641318135, 0.0651000915485429, 0.35764542151328343, -0.280098238702364, -0.21726629838826103, 0.09310987714142148, -0.27412666748511977, -0.12147932299334743, 0.24039116069185418, -0.14478974299266018, 0.02683415920824832, 0.024645200009619058, 0.08734620733488371, -0.11591285334083164, -0.3300011925238013, 0.33552459238601756, -0.058687741732922016, 0.2401395919706735, 0.09192504606849654, 0.09898900468287437, 0.05369566590395137, 0.009943787534018802, 0.03729121276182669, -0.1923404159676755, 0.15555775167964211, 0.24765218711099146, 0.11768260699899753, 0.27148451891275094, -0.3720567804662375, -0.18910965897070045, 0.20104955774393743, 0.13774743599962838, 0.054800644692543414, -0.031692011108850886, -0.23111223697521874, 0.11505988576285561, -0.10337632875915555, -0.14315801944490003, -0.029920046790060717, 0.07045914988519947, 0.03275261693939764, -0.30707671603073455, 0.014575864132279114, 0.08844793388065908, 0.1256741264720536, -0.07752333183424266, -0.1262617765707302, 0.05379991866414066, 0.09767565358555018, -0.00411360275505017, 0.1142618069854466, 0.019828074015989152, -0.0670913184807046, -0.10575831351885, 0.34855768041081686, -0.07698629448429666, -0.24368731816970438, 0.12584708444936743, -0.1940032614358602, -0.1070871445215073, 0.08070615805976884, 0.21321112449364166, 0.1515264556542892, -0.010627653798369389, 0.18861192742501798, -0.1349351731435963, 0.12795100870994883, 0.11445430136030779, 0.04392459372243215, 0.1182922631861153, 0.06875163866675266, 0.1254488656104818, 0.14497474867911678, -0.03291385251132501, -0.05465538185850754, -0.3582868758360101, -0.169728783853209, -0.16261497400857133, 0.0892216340644713, -0.17195041738826114, -0.19585005655902954, 0.33566611750290715, 0.09965616563893075, 0.22193008335827533, 0.14113924480121395, 0.2456287352443678, 0.06307267751505692, 0.042579912482994975, 0.10490616552750241, 0.14843608510248654, 0.1966048043712911, -0.0009251404846316026, -0.1353140830364099, -0.0011105343566780816, 0.14749002699641375] |
707.3474 | Groundstate with Zero Eigenvalue for Generalized Sombrero-shaped
Potential in $N$-dimensional Space | Based on an iterative method for solving the goundstate of Schroedinger
equation, it is found that a kind of generalized Sombrero-shaped potentials in
N-dimensional space has groundstates with zero eigenvalue. The restrictions on
the parameters in the potential are discussed.
| quant-ph | based on an iterative method for solving the goundstate of schroedinger equation it is found that a kind of generalized sombreroshaped potentials in ndimensional space has groundstates with zero eigenvalue the restrictions on the parameters in the potential are discussed | [['based', 'on', 'an', 'iterative', 'method', 'for', 'solving', 'the', 'goundstate', 'of', 'schroedinger', 'equation', 'it', 'is', 'found', 'that', 'a', 'kind', 'of', 'generalized', 'sombreroshaped', 'potentials', 'in', 'ndimensional', 'space', 'has', 'groundstates', 'with', 'zero', 'eigenvalue', 'the', 'restrictions', 'on', 'the', 'parameters', 'in', 'the', 'potential', 'are', 'discussed']] | [-0.10832092717576486, 0.06400746789213138, -0.11079263242964561, 0.040077865664035275, -0.08341988768333043, -0.14449749011785173, -0.044183169408008836, 0.33779184221743774, -0.22129228916496801, -0.23677072683588052, 0.10773067044404645, -0.29479389883673346, -0.1860894912806077, 0.22317260408248657, 0.004034637569043881, 0.10955851374623868, 0.06820861472246739, 0.10448550748137328, -0.1219666759447696, -0.24333722836887225, 0.3968911475669115, -0.013210468391219202, 0.24640509959023732, 0.04577375987831216, 0.12972631422468486, -0.01439918408719584, 0.04921706954542643, 0.006949102182914384, -0.11885333565777938, 0.08054895035158365, 0.1877518076545153, 0.06433833636439, 0.27329013685289866, -0.3861379781499123, -0.2399076950760224, 0.1449819209340673, 0.14153494189182916, 0.0952258478754606, -0.06888180157917444, -0.31069971427607995, 0.04779658231060379, -0.0838621836872055, -0.2040095714470133, -0.07818854206170027, 0.05013991892337799, 0.05981569885252378, -0.27277684689332277, 0.07873344941972157, 0.02171735081057518, -0.0068831630767538, -0.1441169077745424, -0.17258828981086993, -0.005797977821949201, 0.004941489953452196, 0.006768266043554132, -0.010031386815871183, 0.023618301281180136, -0.07520160807344393, -0.10379978798879072, 0.41305664551850313, -0.04720452936509481, -0.33269727306488234, 0.09037437118613759, -0.05982847775643071, -0.14030761047242543, 0.10442523066049968, 0.13900889921933413, 0.13126906267821026, -0.13372385005156198, 0.19395102953347257, -0.03748532987605685, 0.12311004255360995, 0.044449742107341685, -0.02130373554208722, 0.1171138123728526, 0.15450906626975688, 0.11444413900757447, 0.1371551141477166, -0.03676131169478863, -0.15725328207302552, -0.29966607021215635, -0.13049294606137735, -0.2683494661767513, 0.033095587259874895, -0.07648047449019475, -0.2044770542341165, 0.4043909644540877, 0.10517629859252618, 0.15425197756252226, 0.0007434153141310582, 0.24363138564886191, 0.230674532122719, 0.0630379469635395, 0.05531944999566827, 0.22402636668620965, 0.1589454590366819, 0.06796810907335618, -0.24517529516313702, 0.007215499089887509, 0.1497832379029252] |
707.3475 | Electric field of a pointlike charge in a strong magnetic field and
ground state of a hydrogenlike atom | In an external constant magnetic field, so strong that the electron Larmour
length is much shorter than its Compton length, we consider the modification of
the Coulomb potential of a point charge owing to the vacuum polarization. We
establish a short-range component of the static interaction in the Larmour
scale, expressed as a Yukawa-like law, and reveal the corresponding "photon
mass" parameter. The electrostatic force regains its long-range character in
the Compton scale: the tail of the potential follows an anisotropic Coulomb
law, decreasing away from the charge slower along the magnetic field and faster
across. In the infinite-magnetic-field limit the potential is confined to an
infinitely thin string passing though the charge parallel to the external
field. This is the first evidence for dimensional reduction in the photon
sector of quantum electrodynamics. The one-dimensional form of the potential on
the string is derived that includes a delta-function centered in the charge.
The nonrelativistic ground-state energy of a hydrogenlike atom is found with
its use and shown not to be infinite in the infinite-field limit, contrary to
what was commonly accepted before, when the vacuum polarization had been
ignored. These results may be useful for studying properties of matter at the
surface of extremely magnetized neutron stars.
| astro-ph gr-qc hep-lat hep-ph hep-th physics.atom-ph | in an external constant magnetic field so strong that the electron larmour length is much shorter than its compton length we consider the modification of the coulomb potential of a point charge owing to the vacuum polarization we establish a shortrange component of the static interaction in the larmour scale expressed as a yukawalike law and reveal the corresponding photon mass parameter the electrostatic force regains its longrange character in the compton scale the tail of the potential follows an anisotropic coulomb law decreasing away from the charge slower along the magnetic field and faster across in the infinitemagneticfield limit the potential is confined to an infinitely thin string passing though the charge parallel to the external field this is the first evidence for dimensional reduction in the photon sector of quantum electrodynamics the onedimensional form of the potential on the string is derived that includes a deltafunction centered in the charge the nonrelativistic groundstate energy of a hydrogenlike atom is found with its use and shown not to be infinite in the infinitefield limit contrary to what was commonly accepted before when the vacuum polarization had been ignored these results may be useful for studying properties of matter at the surface of extremely magnetized neutron stars | [['in', 'an', 'external', 'constant', 'magnetic', 'field', 'so', 'strong', 'that', 'the', 'electron', 'larmour', 'length', 'is', 'much', 'shorter', 'than', 'its', 'compton', 'length', 'we', 'consider', 'the', 'modification', 'of', 'the', 'coulomb', 'potential', 'of', 'a', 'point', 'charge', 'owing', 'to', 'the', 'vacuum', 'polarization', 'we', 'establish', 'a', 'shortrange', 'component', 'of', 'the', 'static', 'interaction', 'in', 'the', 'larmour', 'scale', 'expressed', 'as', 'a', 'yukawalike', 'law', 'and', 'reveal', 'the', 'corresponding', 'photon', 'mass', 'parameter', 'the', 'electrostatic', 'force', 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707.3476 | Sums of products of congruence classes and of arithmetic progressions | Consider the congruence class R_m(a)={a+im:i\in Z} and the infinite
arithmetic progression P_m(a)={a+im:i\in N_0}. For positive integers a,b,c,d,m
the sum of products set R_m(a)R_m(b)+R_m(c)R_m(d) consists of all integers of
the form (a+im)(b+jm)+(c+km)(d+\ell m) for some i,j,k,\ell\in Z. It is proved
that if gcd(a,b,c,d,m)=1, then R_m(a)R_m(b)+R_m(c)R_m(d) is equal to the
congruence class R_m(ab+cd), and that the sum of products set
P_m(a)P_m(b)+P_m(c)P_m(d) eventually coincides with the infinite arithmetic
progression P_m(ab+cd).
| math.NT | consider the congruence class r_maaimiin z and the infinite arithmetic progression p_maaimiin n_0 for positive integers abcdm the sum of products set r_mar_mbr_mcr_md consists of all integers of the form aimbjmckmdell m for some ijkellin z it is proved that if gcdabcdm1 then r_mar_mbr_mcr_md is equal to the congruence class r_mabcd and that the sum of products set p_map_mbp_mcp_md eventually coincides with the infinite arithmetic progression p_mabcd | [['consider', 'the', 'congruence', 'class', 'r_maaimiin', 'z', 'and', 'the', 'infinite', 'arithmetic', 'progression', 'p_maaimiin', 'n_0', 'for', 'positive', 'integers', 'abcdm', 'the', 'sum', 'of', 'products', 'set', 'r_mar_mbr_mcr_md', 'consists', 'of', 'all', 'integers', 'of', 'the', 'form', 'aimbjmckmdell', 'm', 'for', 'some', 'ijkellin', 'z', 'it', 'is', 'proved', 'that', 'if', 'gcdabcdm1', 'then', 'r_mar_mbr_mcr_md', 'is', 'equal', 'to', 'the', 'congruence', 'class', 'r_mabcd', 'and', 'that', 'the', 'sum', 'of', 'products', 'set', 'p_map_mbp_mcp_md', 'eventually', 'coincides', 'with', 'the', 'infinite', 'arithmetic', 'progression', 'p_mabcd']] | [-0.1903174768667668, 0.17176148175661052, -0.024662571160921028, 0.04343558696980056, -0.032926738303753415, -0.12118521688639053, 0.01853346877864429, 0.28588355532182114, -0.31742194537738605, -0.1812040913771073, 0.11143227383893516, -0.34560668947441237, -0.10488063246676964, 0.18893800831782365, 0.009856660035438836, 0.016708490347290144, 0.05345542992914228, 0.15255579724907875, -0.024171902290878018, -0.3541331991416103, 0.3776209552306682, -0.1063957145171506, 0.17078058972089952, 0.002639110740606806, 0.1274997674460922, 0.03416834829840809, -0.010880680472057844, -0.0037999183238883105, -0.12914480770502582, 0.0958177982496896, 0.25734901508050306, 0.16376797183017647, 0.3187649702387197, -0.31490740469390793, -0.10889539727941155, 0.24067770806141198, 0.1432701229018026, -0.06413648131170444, 0.025850582724420486, -0.15155936212977394, 0.20786756839619816, -0.15181071397715382, -0.1526081946379106, -0.030985315297065035, 0.1274708658124187, 0.06814677422932748, -0.3145753009011969, -0.006987442960962653, 0.10460965252215308, 0.08624568248965911, -0.03374886995048395, -0.19782115176453122, 0.012929675610004259, 0.0890055789662126, 0.03693178083007557, 0.027675194347726313, 0.038033291564456055, -0.054406532585354786, -0.07555428710267213, 0.3898719647633178, -0.041009694969813736, -0.19840285890469594, 0.09618412244266697, -0.19118331149885698, -0.15340686777407037, 0.17423194982776685, 0.07082939641882799, 0.08722357541721847, -0.021291976096108556, 0.17146514603726765, -0.15001747424581222, 0.14070526774906153, 0.16045298788230866, 0.016132494933637127, 0.18519082346132823, 0.020313387853093445, 0.0723485416632944, 0.1452691866517333, 0.03601686750438863, -0.01337326951657555, -0.40663650671818424, -0.2179361864442139, -0.15746551925258245, 0.17176322153370296, -0.11479636527812025, -0.2309446492664782, 0.33564842081146445, 0.03155975670337544, 0.14453117180216526, 0.19165086002820836, 0.22008756710316188, 0.11146868246110639, 0.03614672750700265, 0.06821285339538008, 0.023311626501319033, 0.1788224552624992, -0.09881023912956673, -0.1397142815486794, 0.042914238459031494, 0.1759035126139809] |
707.3477 | Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated
Magnet | Dy2Ti2O7 is a geometrically frustrated magnetic material with a strongly
correlated spin ice regime that extends from 1 K down to as low as 60 mK. The
diffuse elastic neutron scattering intensities in the spin ice regime can be
remarkably well described by a phenomenological model of weakly interacting
hexagonal spin clusters, as invoked in other geometrically frustrated magnets.
We present a highly refined microscopic theory of Dy2Ti2O7 that includes
long-range dipolar and exchange interactions to third nearest neighbors and
which demonstrates that the clusters are purely fictitious in this material.
The seeming emergence of composite spin clusters and their associated
scattering pattern is instead an indicator of fine-tuning of ancillary
correlations within a strongly correlated state.
| cond-mat.stat-mech | dy2ti2o7 is a geometrically frustrated magnetic material with a strongly correlated spin ice regime that extends from 1 k down to as low as 60 mk the diffuse elastic neutron scattering intensities in the spin ice regime can be remarkably well described by a phenomenological model of weakly interacting hexagonal spin clusters as invoked in other geometrically frustrated magnets we present a highly refined microscopic theory of dy2ti2o7 that includes longrange dipolar and exchange interactions to third nearest neighbors and which demonstrates that the clusters are purely fictitious in this material the seeming emergence of composite spin clusters and their associated scattering pattern is instead an indicator of finetuning of ancillary correlations within a strongly correlated state | [['dy2ti2o7', 'is', 'a', 'geometrically', 'frustrated', 'magnetic', 'material', 'with', 'a', 'strongly', 'correlated', 'spin', 'ice', 'regime', 'that', 'extends', 'from', '1', 'k', 'down', 'to', 'as', 'low', 'as', '60', 'mk', 'the', 'diffuse', 'elastic', 'neutron', 'scattering', 'intensities', 'in', 'the', 'spin', 'ice', 'regime', 'can', 'be', 'remarkably', 'well', 'described', 'by', 'a', 'phenomenological', 'model', 'of', 'weakly', 'interacting', 'hexagonal', 'spin', 'clusters', 'as', 'invoked', 'in', 'other', 'geometrically', 'frustrated', 'magnets', 'we', 'present', 'a', 'highly', 'refined', 'microscopic', 'theory', 'of', 'dy2ti2o7', 'that', 'includes', 'longrange', 'dipolar', 'and', 'exchange', 'interactions', 'to', 'third', 'nearest', 'neighbors', 'and', 'which', 'demonstrates', 'that', 'the', 'clusters', 'are', 'purely', 'fictitious', 'in', 'this', 'material', 'the', 'seeming', 'emergence', 'of', 'composite', 'spin', 'clusters', 'and', 'their', 'associated', 'scattering', 'pattern', 'is', 'instead', 'an', 'indicator', 'of', 'finetuning', 'of', 'ancillary', 'correlations', 'within', 'a', 'strongly', 'correlated', 'state']] | [-0.15445829233409375, 0.27142915287779934, -0.038267481316410355, 0.08312791001358125, -0.05527913794478672, -0.14263810419963083, 0.04002807326475556, 0.37797002599407464, -0.291265241172897, -0.306261058522659, 0.03126594392109153, -0.3285626684888624, -0.10518954202739729, 0.14308437779814434, 0.067765030466641, -0.04843876324594021, -0.033529341296475924, -0.005129781416338733, -0.051358365489599794, -0.19584140617054147, 0.24567603902158958, 0.055478439648420766, 0.2427780253247509, 0.0536197188994887, 0.05513684449988043, 0.040737272405391954, 0.0854751884809926, 0.03194399457424879, -0.07847966356336042, 0.0724753503380224, 0.24532993936226663, -0.06313147223116751, 0.1396952929914507, -0.4280888686418279, -0.24079490167837048, 0.036212113025224105, 0.18649053324857712, 0.12110211737115636, -0.04173712935557382, -0.24889946178509256, -0.022522423844227295, -0.19930837165293658, -0.17562298925641256, -0.11159764310747035, -0.005871146368101621, 0.02569762983510637, -0.24629272230996344, 0.15862502292809513, 0.11221351656310546, 0.07704306560425231, -0.0799271364748064, -0.09730782895149966, -0.045184145018888205, 0.03063438677539428, 0.015037985051918425, 0.06739233810311326, 0.16706787580703822, -0.15765580284791306, -0.10887707640918401, 0.381627406558802, -0.06387252787239531, -0.11235549568365781, 0.24120631291825548, -0.16745901028585866, -0.12287094177375747, 0.17980384689747778, 0.12942227423509473, 0.11283891325673231, -0.18667158190883362, 0.036965898931452815, -0.060751865949266806, 0.19963786778095952, -0.0473228636989768, 0.0629204511244455, 0.3210942384142142, 0.20956957654661348, 0.020874541857813157, 0.16745211079201272, -0.12109123551026564, -0.12671191511381194, -0.22350158436924347, -0.08730714364200194, -0.23674322533397338, 0.07562085894995138, -0.08405031607265914, -0.17537928837486821, 0.3153170722767583, 0.11808546783370721, 0.19624992116935489, -0.03681871004397165, 0.22348925083652776, 0.0348123542051046, 0.07411332339104106, 0.02849621542641877, 0.2650004183618814, 0.20348935804536772, 0.06874157870427156, -0.25290351457153565, 0.07671747244018902, 0.0012322289955754501] |
707.3478 | Credit risk - A structural model with jumps and correlations | We set up a structural model to study credit risk for a portfolio containing
several or many credit contracts. The model is based on a jump--diffusion
process for the risk factors, i.e. for the company assets. We also include
correlations between the companies. We discuss that models of this type have
much in common with other problems in statistical physics and in the theory of
complex systems. We study a simplified version of our model analytically.
Furthermore, we perform extensive numerical simulations for the full model. The
observables are the loss distribution of the credit portfolio, its moments and
other quantities derived thereof. We compile detailed information about the
parameter dependence of these observables. In the course of setting up and
analyzing our model, we also give a review of credit risk modeling for a
physics audience.
| q-fin.RM cond-mat.stat-mech physics.soc-ph q-fin.ST | we set up a structural model to study credit risk for a portfolio containing several or many credit contracts the model is based on a jumpdiffusion process for the risk factors ie for the company assets we also include correlations between the companies we discuss that models of this type have much in common with other problems in statistical physics and in the theory of complex systems we study a simplified version of our model analytically furthermore we perform extensive numerical simulations for the full model the observables are the loss distribution of the credit portfolio its moments and other quantities derived thereof we compile detailed information about the parameter dependence of these observables in the course of setting up and analyzing our model we also give a review of credit risk modeling for a physics audience | [['we', 'set', 'up', 'a', 'structural', 'model', 'to', 'study', 'credit', 'risk', 'for', 'a', 'portfolio', 'containing', 'several', 'or', 'many', 'credit', 'contracts', 'the', 'model', 'is', 'based', 'on', 'a', 'jumpdiffusion', 'process', 'for', 'the', 'risk', 'factors', 'ie', 'for', 'the', 'company', 'assets', 'we', 'also', 'include', 'correlations', 'between', 'the', 'companies', 'we', 'discuss', 'that', 'models', 'of', 'this', 'type', 'have', 'much', 'in', 'common', 'with', 'other', 'problems', 'in', 'statistical', 'physics', 'and', 'in', 'the', 'theory', 'of', 'complex', 'systems', 'we', 'study', 'a', 'simplified', 'version', 'of', 'our', 'model', 'analytically', 'furthermore', 'we', 'perform', 'extensive', 'numerical', 'simulations', 'for', 'the', 'full', 'model', 'the', 'observables', 'are', 'the', 'loss', 'distribution', 'of', 'the', 'credit', 'portfolio', 'its', 'moments', 'and', 'other', 'quantities', 'derived', 'thereof', 'we', 'compile', 'detailed', 'information', 'about', 'the', 'parameter', 'dependence', 'of', 'these', 'observables', 'in', 'the', 'course', 'of', 'setting', 'up', 'and', 'analyzing', 'our', 'model', 'we', 'also', 'give', 'a', 'review', 'of', 'credit', 'risk', 'modeling', 'for', 'a', 'physics', 'audience']] | [-0.05331428310949437, 0.004500267257315726, -0.0997482697431841, 0.1495046010806658, -0.0559769953128603, -0.09879067062611019, 0.10884852905801912, 0.4032173259251744, -0.25645905484302634, -0.28490975956656855, 0.14471092893245774, -0.3170527202191076, -0.13537778346595375, 0.21390660780602658, -0.052349236643410894, 0.048201008614434784, 0.05832130174886734, 0.012680847504529694, -0.037035114028198764, -0.251612166255495, 0.32035317990833717, 0.057107061956648844, 0.2351576754853918, 0.06938308436953783, 0.08202360894014366, 0.003218327060912865, -0.051276343548330515, 0.018305060944866634, -0.16490053107655467, 0.162785030502051, 0.24389872714711108, 0.166166984499942, 0.33838477666170275, -0.4271209722208063, -0.21998481119024385, 0.11390207668453672, 0.020304770805417514, 0.11831135156625597, -0.0066952829206290984, -0.24765052371080556, 0.018978101894748908, -0.2569753593836578, -0.10612074174853653, -0.11602745930507888, -0.010851000551215923, 0.028940795781430755, -0.28473155505030695, 0.08508978661168434, 0.03515239729185718, 0.09110825330216138, -0.04990980375208042, -0.14501673567795406, 0.0017128713024494638, 0.1357219255942321, 0.10302890117783554, -0.08106226212069746, 0.1244113227882742, -0.1591370825925128, -0.16211842955599953, 0.38567257163379964, -0.04175189303159442, -0.19706338120583636, 0.14088242519374963, -0.12756473174740146, -0.17660640839174607, 0.048091915398700176, 0.24433665703574237, 0.09425972383061465, -0.195090308934994, 0.06162366644440246, -0.057085118623599954, 0.15626231852891673, -0.016504871594400086, 0.009866527244312702, 0.17696399258001008, 0.19776169785101266, 0.03225131160333195, 0.1437822086847027, -0.04602732596558648, -0.16752778365528279, -0.33422245263346356, -0.1560456961024566, -0.09040805362810782, 0.026499247458851793, -0.1211052396922945, -0.1777904315504932, 0.43927134750206975, 0.20250985138186248, 0.15748293175069739, 0.08189993430384482, 0.26671637526635134, 0.10121797196608272, 0.016549572267018964, 0.046010758863748426, 0.18612500426638193, 0.04907598676173574, 0.09428894095782218, -0.16279631880295536, 0.12095077823929108, 0.009014865184665053] |
707.3479 | Quantum Algorithms for Learning and Testing Juntas | In this article we develop quantum algorithms for learning and testing
juntas, i.e. Boolean functions which depend only on an unknown set of k out of
n input variables. Our aim is to develop efficient algorithms:
- whose sample complexity has no dependence on n, the dimension of the domain
the Boolean functions are defined over;
- with no access to any classical or quantum membership ("black-box")
queries. Instead, our algorithms use only classical examples generated
uniformly at random and fixed quantum superpositions of such classical
examples;
- which require only a few quantum examples but possibly many classical
random examples (which are considered quite "cheap" relative to quantum
examples).
Our quantum algorithms are based on a subroutine FS which enables sampling
according to the Fourier spectrum of f; the FS subroutine was used in earlier
work of Bshouty and Jackson on quantum learning. Our results are as follows:
- We give an algorithm for testing k-juntas to accuracy $\epsilon$ that uses
$O(k/\epsilon)$ quantum examples. This improves on the number of examples used
by the best known classical algorithm.
- We establish the following lower bound: any FS-based k-junta testing
algorithm requires $\Omega(\sqrt{k})$ queries.
- We give an algorithm for learning $k$-juntas to accuracy $\epsilon$ that
uses $O(\epsilon^{-1} k\log k)$ quantum examples and $O(2^k \log(1/\epsilon))$
random examples. We show that this learning algorithms is close to optimal by
giving a related lower bound.
| quant-ph cs.LG | in this article we develop quantum algorithms for learning and testing juntas ie boolean functions which depend only on an unknown set of k out of n input variables our aim is to develop efficient algorithms whose sample complexity has no dependence on n the dimension of the domain the boolean functions are defined over with no access to any classical or quantum membership blackbox queries instead our algorithms use only classical examples generated uniformly at random and fixed quantum superpositions of such classical examples which require only a few quantum examples but possibly many classical random examples which are considered quite cheap relative to quantum examples our quantum algorithms are based on a subroutine fs which enables sampling according to the fourier spectrum of f the fs subroutine was used in earlier work of bshouty and jackson on quantum learning our results are as follows we give an algorithm for testing kjuntas to accuracy epsilon that uses okepsilon quantum examples this improves on the number of examples used by the best known classical algorithm we establish the following lower bound any fsbased kjunta testing algorithm requires omegasqrtk queries we give an algorithm for learning kjuntas to accuracy epsilon that uses oepsilon1 klog k quantum examples and o2k log1epsilon random examples we show that this learning algorithms is close to optimal by giving a related lower bound | [['in', 'this', 'article', 'we', 'develop', 'quantum', 'algorithms', 'for', 'learning', 'and', 'testing', 'juntas', 'ie', 'boolean', 'functions', 'which', 'depend', 'only', 'on', 'an', 'unknown', 'set', 'of', 'k', 'out', 'of', 'n', 'input', 'variables', 'our', 'aim', 'is', 'to', 'develop', 'efficient', 'algorithms', 'whose', 'sample', 'complexity', 'has', 'no', 'dependence', 'on', 'n', 'the', 'dimension', 'of', 'the', 'domain', 'the', 'boolean', 'functions', 'are', 'defined', 'over', 'with', 'no', 'access', 'to', 'any', 'classical', 'or', 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707.348 | The Relationship between the Optical Depth of the 9.7 micron Silicate
Absorption Feature and Infrared Differential Extinction in Dense Clouds | We have examined the relationship between the optical depth of the 9.7 micron
silicate absorption feature (tau_9.7) and the near-infrared color excess,
E(J-Ks) in the Serpens, Taurus, IC 5146, Chameleon I, Barnard 59, and Barnard
68 dense clouds/cores. Our data set, based largely on Spitzer IRS spectra,
spans E(J-Ks)=0.3 to 10 mag (corresponding to visual extinction between about 2
and 60 mag.). All lines of sight show the 9.7 micron silicate feature. Unlike
in the diffuse ISM where a tight linear correlation between the 9.7 micron
silicate feature optical depth and the extinction (Av) is observed, we find
that the silicate feature in dense clouds does not show a monotonic increase
with extinction. Thus, in dense clouds, tau_9.7 is not a good measure of total
dust column density. With few exceptions, the measured tau_9.7 values fall well
below the diffuse ISM correlation line for E(J-Ks) > 2 mag (Av >12 mag). Grain
growth via coagulation is a likely cause of this effect.
| astro-ph | we have examined the relationship between the optical depth of the 97 micron silicate absorption feature tau_97 and the nearinfrared color excess ejks in the serpens taurus ic 5146 chameleon i barnard 59 and barnard 68 dense cloudscores our data set based largely on spitzer irs spectra spans ejks03 to 10 mag corresponding to visual extinction between about 2 and 60 mag all lines of sight show the 97 micron silicate feature unlike in the diffuse ism where a tight linear correlation between the 97 micron silicate feature optical depth and the extinction av is observed we find that the silicate feature in dense clouds does not show a monotonic increase with extinction thus in dense clouds tau_97 is not a good measure of total dust column density with few exceptions the measured tau_97 values fall well below the diffuse ism correlation line for ejks 2 mag av 12 mag grain growth via coagulation is a likely cause of this effect | [['we', 'have', 'examined', 'the', 'relationship', 'between', 'the', 'optical', 'depth', 'of', 'the', '97', 'micron', 'silicate', 'absorption', 'feature', 'tau_97', 'and', 'the', 'nearinfrared', 'color', 'excess', 'ejks', 'in', 'the', 'serpens', 'taurus', 'ic', '5146', 'chameleon', 'i', 'barnard', '59', 'and', 'barnard', '68', 'dense', 'cloudscores', 'our', 'data', 'set', 'based', 'largely', 'on', 'spitzer', 'irs', 'spectra', 'spans', 'ejks03', 'to', '10', 'mag', 'corresponding', 'to', 'visual', 'extinction', 'between', 'about', '2', 'and', '60', 'mag', 'all', 'lines', 'of', 'sight', 'show', 'the', '97', 'micron', 'silicate', 'feature', 'unlike', 'in', 'the', 'diffuse', 'ism', 'where', 'a', 'tight', 'linear', 'correlation', 'between', 'the', '97', 'micron', 'silicate', 'feature', 'optical', 'depth', 'and', 'the', 'extinction', 'av', 'is', 'observed', 'we', 'find', 'that', 'the', 'silicate', 'feature', 'in', 'dense', 'clouds', 'does', 'not', 'show', 'a', 'monotonic', 'increase', 'with', 'extinction', 'thus', 'in', 'dense', 'clouds', 'tau_97', 'is', 'not', 'a', 'good', 'measure', 'of', 'total', 'dust', 'column', 'density', 'with', 'few', 'exceptions', 'the', 'measured', 'tau_97', 'values', 'fall', 'well', 'below', 'the', 'diffuse', 'ism', 'correlation', 'line', 'for', 'ejks', '2', 'mag', 'av', '12', 'mag', 'grain', 'growth', 'via', 'coagulation', 'is', 'a', 'likely', 'cause', 'of', 'this', 'effect']] | [0.006769817975589876, 0.07120429531893686, -0.02084722618518233, 0.036214571433001254, -0.01018869259201412, -0.08293742931348348, 0.07032091090889098, 0.505205667620882, -0.20714023275631802, -0.32179068319159765, -0.007832269798034404, -0.3220660912060419, -0.05697812186993377, 0.07561339037902888, -0.07000557514809587, -0.026274983188977214, -0.01177397160937295, -0.14833617800225815, -0.008766794458629107, -0.2933861875610789, 0.23572903240697002, 0.029604717796234966, 0.20819600057091164, 0.063551297805048, 0.04725844186142017, -0.12013334622782357, -0.10221940816640737, -0.0485176075712643, -0.14610967650276838, 0.09342766725077475, 0.23662987472665198, 0.08127087572847241, 0.16370530576743889, -0.2954802887028071, -0.23198927756773788, 0.09785796148971941, 0.15875550486153261, -0.014228076152737785, 0.025890610671350324, -0.24362745531761446, 0.0650255255424564, -0.13471359773480432, -0.13166762824293296, 0.11942629983543225, 0.15567411354643368, 0.011092357017149645, -0.22865748753970336, 0.1628485846526499, 0.025728014081792684, 0.18431882000288125, -0.16222982793612956, -0.15274480439330093, -0.09195786385808678, 0.025473639963534456, -0.09931767728976296, 0.08999900076298172, 0.21112846663666876, -0.17660993721142834, 0.03870075772466642, 0.41822205769753307, -0.13243363350307652, 0.0427521355772309, 0.2529836743469672, -0.19736834459809247, -0.13552615228519077, 0.26050073016177183, 0.08258829484898714, 0.05826449487358332, -0.15588220385190263, -0.0043293675129542, -0.07509974554055165, 0.29149615140807517, 0.08410368683753805, 0.11777124746187162, 0.27594717692747806, 0.10846171612813249, 0.016019031442057505, 0.09579748411204538, -0.3149508643740167, -0.02352112845470836, -0.2539548506292532, -0.11685792504774653, -0.13226011392891807, 0.08598709671846708, -0.19276453061109855, -0.11423610713414895, 0.2568067252905395, 0.14696235306350128, 0.2929792598053907, 0.08152606747546615, 0.28498293762241705, 0.04083564160576562, 0.14126188742690984, 0.14553193349256502, 0.33831890251300056, 0.12725114202677454, 0.10325264406782932, -0.16608886161391512, 0.07925508556003044, -0.01246317957363929] |
707.3481 | McKay correspondence for canonical orders | Canonical orders, introduced in the minimal model program for orders, are
simultaneous generalisations of Kleinian singularities and their associated
skew group rings. In this paper, we construct minimal resolutions of canonical
orders via non-commutative cyclic covers and skew group rings. This allows us
to exhibit a derived equivalence between minimal resolutions of canonical
orders and the skew group ring form of the canonical order in all but one case.
The Fourier-Mukai transform used to construct this equivalence allows us to
make explicit, the numerical version of the McKay correspondence for canonical
orders which, relates the exceptional curves of the minimal resolution to the
indecomposable reflexive modules of the canonical order.
| math.AG math.RA | canonical orders introduced in the minimal model program for orders are simultaneous generalisations of kleinian singularities and their associated skew group rings in this paper we construct minimal resolutions of canonical orders via noncommutative cyclic covers and skew group rings this allows us to exhibit a derived equivalence between minimal resolutions of canonical orders and the skew group ring form of the canonical order in all but one case the fouriermukai transform used to construct this equivalence allows us to make explicit the numerical version of the mckay correspondence for canonical orders which relates the exceptional curves of the minimal resolution to the indecomposable reflexive modules of the canonical order | [['canonical', 'orders', 'introduced', 'in', 'the', 'minimal', 'model', 'program', 'for', 'orders', 'are', 'simultaneous', 'generalisations', 'of', 'kleinian', 'singularities', 'and', 'their', 'associated', 'skew', 'group', 'rings', 'in', 'this', 'paper', 'we', 'construct', 'minimal', 'resolutions', 'of', 'canonical', 'orders', 'via', 'noncommutative', 'cyclic', 'covers', 'and', 'skew', 'group', 'rings', 'this', 'allows', 'us', 'to', 'exhibit', 'a', 'derived', 'equivalence', 'between', 'minimal', 'resolutions', 'of', 'canonical', 'orders', 'and', 'the', 'skew', 'group', 'ring', 'form', 'of', 'the', 'canonical', 'order', 'in', 'all', 'but', 'one', 'case', 'the', 'fouriermukai', 'transform', 'used', 'to', 'construct', 'this', 'equivalence', 'allows', 'us', 'to', 'make', 'explicit', 'the', 'numerical', 'version', 'of', 'the', 'mckay', 'correspondence', 'for', 'canonical', 'orders', 'which', 'relates', 'the', 'exceptional', 'curves', 'of', 'the', 'minimal', 'resolution', 'to', 'the', 'indecomposable', 'reflexive', 'modules', 'of', 'the', 'canonical', 'order']] | [-0.15864224421834064, 0.03454219918719239, -0.09755931675264781, 0.12428351396969943, -0.09731470367193899, -0.10975853749550879, -0.021221648688978433, 0.3381646877916699, -0.3443381818519397, -0.24544455085627057, 0.0734827967921526, -0.22040662778229242, -0.12409951304858127, 0.19274868741419843, -0.13223559737036175, -0.014317959136414257, -0.0046414918266236786, 0.050629409834403886, -0.19274954825470395, -0.28248680064624004, 0.3759109698828648, 0.04032526825639335, 0.24481167967261916, -0.01721791376105764, 0.17210644255815583, 0.047180117700587616, -0.08278807281008498, -0.006149989159100435, -0.19774005566300315, 0.18574091251092878, 0.2931004411286928, 0.033784694360061124, 0.1145944446071305, -0.39783260902728546, -0.11176465345885266, 0.23384401810101488, 0.10634948065589098, 0.03572388197274201, 0.04070356920869513, -0.18888750226787207, 0.08315020882741506, -0.24823291220448235, -0.18065229886296122, -0.11440418851138516, 0.023522041479802944, -0.002802962102842602, -0.22844971671531147, 0.03043534555684098, 0.0940600249448008, 0.11767483197829941, -0.002876816371413456, -0.030952752258797938, -0.013897411669181152, 0.09319652665237134, 0.002371534788769416, -0.054724084949967534, 0.03984409114345908, -0.07652555098122155, -0.16113200318914922, 0.3797516984526407, -0.041358225117437544, -0.1839825782247565, 0.18264864361209965, -0.17160458148203112, -0.10712631855117664, 0.16389997144314375, 0.03134615362029184, 0.1584403275512159, -0.06521654345772483, 0.1619219379145017, -0.10186009184372696, 0.081275092641061, 0.15229248506525023, 0.03158769855402749, 0.16570049625906078, 0.06068021854893728, 0.06278543084124315, 0.17677592127266425, -0.0062519116925117985, -0.10440862724472853, -0.3597492874345996, -0.20048202978108418, -0.025676329949320377, 0.10458510686135428, -0.1269698937546557, -0.13971455627205698, 0.4629566016839817, 0.12145175714130428, 0.16737751318988475, 0.10150918234245512, 0.21460360492875968, 0.061375218007544224, 0.12063182858877222, -0.0008550777692686428, 0.1254394674250348, 0.24338232933289625, -0.06496314866976305, -0.17864945749328895, -0.06661040514114905, 0.20613120559772308] |
707.3482 | A Bayesian Framework for Combining Valuation Estimates | Obtaining more accurate equity value estimates is the starting point for
stock selection, value-based indexing in a noisy market, and beating benchmark
indices through tactical style rotation. Unfortunately, discounted cash flow,
method of comparables, and fundamental analysis typically yield discrepant
valuation estimates. Moreover, the valuation estimates typically disagree with
market price. Can one form a superior valuation estimate by averaging over the
individual estimates, including market price? This article suggests a Bayesian
framework for combining two or more estimates into a superior valuation
estimate. The framework justifies the common practice of averaging over several
estimates to arrive at a final point estimate.
| q-fin.ST cs.CE nlin.AO nlin.CD nlin.SI physics.pop-ph physics.soc-ph stat.AP | obtaining more accurate equity value estimates is the starting point for stock selection valuebased indexing in a noisy market and beating benchmark indices through tactical style rotation unfortunately discounted cash flow method of comparables and fundamental analysis typically yield discrepant valuation estimates moreover the valuation estimates typically disagree with market price can one form a superior valuation estimate by averaging over the individual estimates including market price this article suggests a bayesian framework for combining two or more estimates into a superior valuation estimate the framework justifies the common practice of averaging over several estimates to arrive at a final point estimate | [['obtaining', 'more', 'accurate', 'equity', 'value', 'estimates', 'is', 'the', 'starting', 'point', 'for', 'stock', 'selection', 'valuebased', 'indexing', 'in', 'a', 'noisy', 'market', 'and', 'beating', 'benchmark', 'indices', 'through', 'tactical', 'style', 'rotation', 'unfortunately', 'discounted', 'cash', 'flow', 'method', 'of', 'comparables', 'and', 'fundamental', 'analysis', 'typically', 'yield', 'discrepant', 'valuation', 'estimates', 'moreover', 'the', 'valuation', 'estimates', 'typically', 'disagree', 'with', 'market', 'price', 'can', 'one', 'form', 'a', 'superior', 'valuation', 'estimate', 'by', 'averaging', 'over', 'the', 'individual', 'estimates', 'including', 'market', 'price', 'this', 'article', 'suggests', 'a', 'bayesian', 'framework', 'for', 'combining', 'two', 'or', 'more', 'estimates', 'into', 'a', 'superior', 'valuation', 'estimate', 'the', 'framework', 'justifies', 'the', 'common', 'practice', 'of', 'averaging', 'over', 'several', 'estimates', 'to', 'arrive', 'at', 'a', 'final', 'point', 'estimate']] | [-0.04549513284947869, -0.04382179246293198, -0.18091198388377533, 0.1464082790976938, -0.12094914179076166, -0.1712221387618532, 0.13001856737423176, 0.4081354398718652, -0.26974947029249924, -0.2680703557116966, 0.17718114633017273, -0.2760092717339741, -0.0617124943362832, 0.2527368288805626, -0.13916901545599103, 0.010317941328514066, 0.08192798592533697, 0.013967782676712993, -0.021029889807287677, -0.2604380696384218, 0.2357526874790589, 0.03960713844143731, 0.2926615891046822, -0.02452938317768641, 0.10412493833185484, 0.03957730409798815, -0.11267307169014114, 0.026053492783331404, -0.14342341944347045, 0.21878010952187812, 0.2945828270030153, 0.09820097463899384, 0.4248862538313237, -0.3748259586190768, -0.18769994749705873, 0.14334967852953603, 0.08273717120755464, 0.055385205960905584, 0.01871494058258238, -0.24993045958665022, 0.038101644691207685, -0.21287953517058472, -0.06371041597780205, -0.12675609262477533, -0.028360899601716037, 0.014167952826064006, -0.38013513368901375, 0.06537101590862114, 0.0008196195829477088, 0.10700081883217483, -0.1038818007755075, -0.1798119835610337, -0.016717341308500253, 0.10186909165406856, 0.11859494636597696, -0.017430281750492604, 0.17200277768550257, -0.11529103552183027, -0.17226589697997505, 0.36933439121325956, -0.09649175944893311, -0.1548257346685026, 0.07949310961617705, -0.12010019569424912, -0.09769435248830739, 0.15304831031015984, 0.1725894541790088, 0.07677504949399508, -0.17406191076973782, -0.01605899680939996, -0.07622350521798545, 0.14434454152326318, 0.09269685603166912, -0.004903111940959706, 0.18302671859661737, 0.1560725683081603, 0.15729162090585805, 0.0335672247747425, -0.057015449858690594, -0.20237854523949472, -0.27334068672201944, -0.10089988533653406, -0.14871534952601673, 0.06974360834939551, -0.19845910841461006, -0.16396822440711892, 0.3792521691967861, 0.19417490157773534, 0.14985402200060585, 0.13490526745205417, 0.31648608595680666, 0.11839529938594091, -0.02807524035839985, 0.10341403856599594, 0.14782355849941572, 0.02052641267586938, 0.09089790550562754, -0.1230999362476937, 0.19566461778081515, 0.06447264322937996] |
707.3483 | Observational biases in Lagrangian reconstructions of cosmic velocity
fields | Lagrangian reconstruction of large-scale peculiar velocity fields can be
strongly affected by observational biases. We develop a thorough analysis of
these systematic effects by relying on specially selected mock catalogues. For
the purpose of this paper, we use the MAK reconstruction method, although any
other Lagrangian reconstruction method should be sensitive to the same
problems. We extensively study the uncertainty in the mass-to-light assignment
due to luminosity incompleteness, and the poorly-determined relation between
mass and luminosity. The impact of redshift distortion corrections is analyzed
in the context of MAK and we check the importance of edge and finite-volume
effects on the reconstructed velocities. Using three mock catalogues with
different average densities, we also study the effect of cosmic variance. In
particular, one of them presents the same global features as found in
observational catalogues that extend to 80 Mpc/h scales. We give recipes,
checked using the aforementioned mock catalogues, to handle these particular
observational effects, after having introduced them into the mock catalogues so
as to quantitatively mimic the most densely sampled currently available galaxy
catalogue of the nearby universe. Once biases have been taken care of, the
typical resulting error in reconstructed velocities is typically about a
quarter of the overall velocity dispersion, and without significant bias. We
finally model our reconstruction errors to propose an improved Bayesian
approach to measure Omega_m in an unbiased way by comparing the reconstructed
velocities to the measured ones in distance space, even though they may be
plagued by large errors. We show that, in the context of observational data, a
nearly unbiased estimator of Omega_m may be built using MAK reconstruction.
| astro-ph | lagrangian reconstruction of largescale peculiar velocity fields can be strongly affected by observational biases we develop a thorough analysis of these systematic effects by relying on specially selected mock catalogues for the purpose of this paper we use the mak reconstruction method although any other lagrangian reconstruction method should be sensitive to the same problems we extensively study the uncertainty in the masstolight assignment due to luminosity incompleteness and the poorlydetermined relation between mass and luminosity the impact of redshift distortion corrections is analyzed in the context of mak and we check the importance of edge and finitevolume effects on the reconstructed velocities using three mock catalogues with different average densities we also study the effect of cosmic variance in particular one of them presents the same global features as found in observational catalogues that extend to 80 mpch scales we give recipes checked using the aforementioned mock catalogues to handle these particular observational effects after having introduced them into the mock catalogues so as to quantitatively mimic the most densely sampled currently available galaxy catalogue of the nearby universe once biases have been taken care of the typical resulting error in reconstructed velocities is typically about a quarter of the overall velocity dispersion and without significant bias we finally model our reconstruction errors to propose an improved bayesian approach to measure omega_m in an unbiased way by comparing the reconstructed velocities to the measured ones in distance space even though they may be plagued by large errors we show that in the context of observational data a nearly unbiased estimator of omega_m may be built using mak reconstruction | [['lagrangian', 'reconstruction', 'of', 'largescale', 'peculiar', 'velocity', 'fields', 'can', 'be', 'strongly', 'affected', 'by', 'observational', 'biases', 'we', 'develop', 'a', 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707.3484 | Small Cosmological Constants from a Modified Randall-Sundrum Model | We study a mechanism, inspired from the mechanism for generating the gauge
hierarchy in Randall-Sundrum model, to investigate the cosmological constant
problem. First we analyze the bulk cosmological constant and brane vacuum
energies in RS model. We show that the five-dimensional bulk cosmological
constant and the vacuum energies of the two branes all obtain their natural
values. Finally we argue how we can generate a small four-dimensional effective
cosmological constant on the branes through modifying the original RS model.
| hep-th | we study a mechanism inspired from the mechanism for generating the gauge hierarchy in randallsundrum model to investigate the cosmological constant problem first we analyze the bulk cosmological constant and brane vacuum energies in rs model we show that the fivedimensional bulk cosmological constant and the vacuum energies of the two branes all obtain their natural values finally we argue how we can generate a small fourdimensional effective cosmological constant on the branes through modifying the original rs model | [['we', 'study', 'a', 'mechanism', 'inspired', 'from', 'the', 'mechanism', 'for', 'generating', 'the', 'gauge', 'hierarchy', 'in', 'randallsundrum', 'model', 'to', 'investigate', 'the', 'cosmological', 'constant', 'problem', 'first', 'we', 'analyze', 'the', 'bulk', 'cosmological', 'constant', 'and', 'brane', 'vacuum', 'energies', 'in', 'rs', 'model', 'we', 'show', 'that', 'the', 'fivedimensional', 'bulk', 'cosmological', 'constant', 'and', 'the', 'vacuum', 'energies', 'of', 'the', 'two', 'branes', 'all', 'obtain', 'their', 'natural', 'values', 'finally', 'we', 'argue', 'how', 'we', 'can', 'generate', 'a', 'small', 'fourdimensional', 'effective', 'cosmological', 'constant', 'on', 'the', 'branes', 'through', 'modifying', 'the', 'original', 'rs', 'model']] | [-0.1337692908754077, 0.15283300309100106, -0.03722122234964295, 0.14205935786042032, -0.10361515246685359, -0.161455301355712, 0.01873625659890756, 0.3202339834121021, -0.23704065154954979, -0.29469344542137804, 0.044485201975153876, -0.20794386130203552, -0.14163725465371074, 0.11143204241201188, -0.012912218933453477, 0.01146260208521728, -0.019056839373292802, 0.02090017193386072, -0.06741189245500048, -0.25282517127409765, 0.3973236501429088, 0.0767138657902251, 0.2684839941749844, 0.04320347879694987, 0.13629374671963196, -0.06721575439707199, -0.004903772126741802, 0.028577660929553116, -0.22848612144399696, 0.0765767161943655, 0.13155827266340958, 0.08807382704925877, 0.15396048878378507, -0.43756024497030654, -0.23538012986507598, 0.1262508030815781, 0.1360821941000987, 0.26358266633381194, -0.06194545640580686, -0.23634596430708335, 0.11113178173575221, -0.17537645535850072, -0.11658665511456519, -0.047603490564948586, -0.061300574542506585, -0.11824604872204482, -0.23948815665384637, 0.07396206997085916, -0.040236790192938306, -0.06681398014667668, -0.1513808269784609, -0.08747893101182071, -0.03784784909243448, 0.0593651308076857, 0.1567698144722329, 0.005205261883549864, 0.1269572394239846, -0.14824823981012467, -0.12089187439377833, 0.40528912697270325, -0.16331363041793834, -0.22133531950154825, 0.12604502462369355, -0.12666482237886778, -0.10531872005755955, 0.012420315601969068, 0.1517336762074051, 0.17109032616585115, -0.13193286130134063, 0.2243953456002865, -0.028143671046518073, 0.15809505020232895, 0.09611948203484091, 0.02615035978982909, 0.26594307069678474, 0.12339805594949005, -0.013920457738958582, 0.14315538721371301, -0.048283134884778645, -0.09962037865874133, -0.3853184333236157, -0.133334742741117, -0.13341714861018794, 0.09548079936552935, -0.20734988582649128, -0.15533294273493223, 0.39877829365903816, 0.15850245881283395, 0.25441147074622067, 0.07711338703343763, 0.2324295771320032, 0.04126341579647004, 0.02169594998527436, 0.06321313119599525, 0.31581025090823067, 0.04208259037518992, 0.11056203435210488, -0.26676163971836714, -0.08099518874306467, 0.13053642451480219] |
707.3485 | Type IIP Supernova SN 2004et: A Multi-Wavelength Study in X-Ray, Optical
and Radio | We present X-ray, broad band optical and low frequency radio observations of
the bright type IIP supernova SN 2004et. The \cxo observed the supernova at
three epochs, and the optical coverage spans a period of $\sim$ 470 days since
explosion. The X-ray emission softens with time, and we characterise the X-ray
luminosity evolution as $\Lx \propto t^{-0.4}$. We use the observed X-ray
luminosity to estimate a mass-loss rate for the progenitor star of $\sim
\ee{2}{-6} M_\odot \mathrm{yr}^{-1}$. The optical light curve shows a
pronounced plateau lasting for about 110 days. Temporal evolution of
photospheric radius and color temperature during the plateau phase is
determined by making black body fits. We estimate the ejected mass of $^{56}$Ni
to be 0.06 $\pm$ 0.03 M$_\odot$. Using the expressions of Litvinova &
Nad\"{e}zhin (1985) we estimate an explosion energy of (0.98 $\pm$ 0.25)
$\times 10^{51}$ erg. We also present a single epoch radio observation of SN
2004et. We compare this with the predictions of the model proposed by Chevalier
et al. (2006). These multi-wavelength studies suggest a main sequence
progenitor mass of $\sim$ 20 M$_\odot$ for SN 2004et.
| astro-ph | we present xray broad band optical and low frequency radio observations of the bright type iip supernova sn 2004et the cxo observed the supernova at three epochs and the optical coverage spans a period of sim 470 days since explosion the xray emission softens with time and we characterise the xray luminosity evolution as lx propto t04 we use the observed xray luminosity to estimate a massloss rate for the progenitor star of sim ee26 m_odot mathrmyr1 the optical light curve shows a pronounced plateau lasting for about 110 days temporal evolution of photospheric radius and color temperature during the plateau phase is determined by making black body fits we estimate the ejected mass of 56ni to be 006 pm 003 m_odot using the expressions of litvinova nadezhin 1985 we estimate an explosion energy of 098 pm 025 times 1051 erg we also present a single epoch radio observation of sn 2004et we compare this with the predictions of the model proposed by chevalier et al 2006 these multiwavelength studies suggest a main sequence progenitor mass of sim 20 m_odot for sn 2004et | [['we', 'present', 'xray', 'broad', 'band', 'optical', 'and', 'low', 'frequency', 'radio', 'observations', 'of', 'the', 'bright', 'type', 'iip', 'supernova', 'sn', '2004et', 'the', 'cxo', 'observed', 'the', 'supernova', 'at', 'three', 'epochs', 'and', 'the', 'optical', 'coverage', 'spans', 'a', 'period', 'of', 'sim', '470', 'days', 'since', 'explosion', 'the', 'xray', 'emission', 'softens', 'with', 'time', 'and', 'we', 'characterise', 'the', 'xray', 'luminosity', 'evolution', 'as', 'lx', 'propto', 't04', 'we', 'use', 'the', 'observed', 'xray', 'luminosity', 'to', 'estimate', 'a', 'massloss', 'rate', 'for', 'the', 'progenitor', 'star', 'of', 'sim', 'ee26', 'm_odot', 'mathrmyr1', 'the', 'optical', 'light', 'curve', 'shows', 'a', 'pronounced', 'plateau', 'lasting', 'for', 'about', '110', 'days', 'temporal', 'evolution', 'of', 'photospheric', 'radius', 'and', 'color', 'temperature', 'during', 'the', 'plateau', 'phase', 'is', 'determined', 'by', 'making', 'black', 'body', 'fits', 'we', 'estimate', 'the', 'ejected', 'mass', 'of', '56ni', 'to', 'be', '006', 'pm', '003', 'm_odot', 'using', 'the', 'expressions', 'of', 'litvinova', 'nadezhin', '1985', 'we', 'estimate', 'an', 'explosion', 'energy', 'of', '098', 'pm', '025', 'times', '1051', 'erg', 'we', 'also', 'present', 'a', 'single', 'epoch', 'radio', 'observation', 'of', 'sn', '2004et', 'we', 'compare', 'this', 'with', 'the', 'predictions', 'of', 'the', 'model', 'proposed', 'by', 'chevalier', 'et', 'al', '2006', 'these', 'multiwavelength', 'studies', 'suggest', 'a', 'main', 'sequence', 'progenitor', 'mass', 'of', 'sim', '20', 'm_odot', 'for', 'sn', '2004et']] | [-0.05387965423821662, 0.10982657931251413, -0.03352443601174578, 0.11249824574742034, -0.09814127917319165, -0.09505935633318364, 0.08763957897057109, 0.4770549686100766, -0.12136594028899045, -0.36569085041091914, 0.0770288800283011, -0.3292715022448471, 0.02664714026199242, 0.21427638056296958, -0.04600660542530414, -0.053546800074239585, 0.11363764864377142, -0.11132594789584162, -0.14267760464273269, -0.24875071686332356, 0.1985301274738084, 0.07401869631821331, 0.17295768493735, -0.018873593113925412, 0.08873041083351889, -0.07630341825878134, -0.02035519706927245, -0.12667236362908096, -0.23967564542062622, -0.01871533495713622, 0.17260896768379128, 0.15010986172977464, 0.169282840492811, -0.31549933111264233, -0.2267620677426869, 0.0767584679550517, 0.17814484204150202, -0.01449796244327123, -0.01952665437074656, -0.23650049166084983, 0.05017831744671187, -0.26045345024331806, -0.19036512770973021, 0.15041532719415196, 0.09938884718415651, 0.006719754687227433, -0.23659631667030945, 0.2221975860078832, -0.04275010652822128, 0.07540624031478035, -0.1629059105874837, -0.07996065306505548, -0.07506405598437671, -0.04026031719253126, 0.05265101295630885, 0.10309255012383077, 0.10355896850306932, -0.06348995571745075, 0.0004229625675425921, 0.3805430563660699, -0.07382433370620177, 0.18205192619474805, 0.15299612546123523, -0.18620941739333846, -0.1410441733845278, 0.2029150752556505, 0.12413747614836165, 0.08730436822795695, -0.14713552837242058, -0.06667273768428997, 0.01865281793755191, 0.27040815155037284, 0.04936084936203137, 0.07722443981118338, 0.3251749575343909, 0.1771088909198278, -0.06864339394561782, 0.047077633815467645, -0.29481724522575653, 0.04711137099535004, -0.23038119986622455, -0.06878276677700583, -0.1374183781454674, 0.21175111135087124, -0.2044388332287781, -0.0780298641332276, 0.3735135592679745, 0.09057673745279236, 0.24440674794302708, 0.05946918140623451, 0.24144395434642366, 0.12017092563518071, 0.04032471537751143, 0.1513517932961206, 0.34136063085858664, 0.19298174243564434, 0.16872572772801744, -0.25128435910530184, 0.043133826916059735, 0.024612514706050657] |
707.3486 | Loop Products and Closed Geodesics | We show the Chas-Sullivan product (on the homology of the free loop space of
a Riemannian manifold) is related to the Morse index of its closed geodesics.
We construct related products in the cohomology of the free loop space and of
the based loop space, and show they are nontrivial.
| math.AT math.DG | we show the chassullivan product on the homology of the free loop space of a riemannian manifold is related to the morse index of its closed geodesics we construct related products in the cohomology of the free loop space and of the based loop space and show they are nontrivial | [['we', 'show', 'the', 'chassullivan', 'product', 'on', 'the', 'homology', 'of', 'the', 'free', 'loop', 'space', 'of', 'a', 'riemannian', 'manifold', 'is', 'related', 'to', 'the', 'morse', 'index', 'of', 'its', 'closed', 'geodesics', 'we', 'construct', 'related', 'products', 'in', 'the', 'cohomology', 'of', 'the', 'free', 'loop', 'space', 'and', 'of', 'the', 'based', 'loop', 'space', 'and', 'show', 'they', 'are', 'nontrivial']] | [-0.2121409708634019, 0.15171454675495624, -0.09287405395880341, 0.11662762084277346, -0.07975207820534706, -0.060664647053927184, -0.009322311654686928, 0.386591060012579, -0.3041770733892918, -0.222359808832407, 0.14416841222671792, -0.23401204286143185, -0.1848069657292217, 0.2161298352573067, -0.14586877891793848, 0.002996921184239909, 0.0679714510962367, 0.20528293628245592, -0.09899028330342845, -0.22558919794857502, 0.5088893554359675, -0.004733733274042607, 0.21804299904499203, 0.08314280603080988, 0.12971268624067306, -0.030259774709120394, -0.06590266167651862, 0.026627759363618678, -0.17234691109508277, 0.21063568721758202, 0.18305500024929644, 0.0743873270507902, 0.13883361283689738, -0.3915367776528001, -0.17139217164367437, 0.13173014672473074, 0.10773844453506172, -0.023828924670815467, 0.014359092253725976, -0.2902806130051613, 0.05701513891108334, -0.1491152219567448, -0.11024899452924729, -0.10478060688823461, -0.025511409007012844, -0.02390972390770912, -0.16736708326730876, -0.035516326278448106, 0.015026589147746563, 0.02078984685242176, -0.10837477640481666, -0.055650265216827394, -0.09182850694283844, 0.188973441477865, 0.031096351598389447, 0.04789286284707486, 0.1314799620769918, -0.06282321589067578, -0.156839201990515, 0.3852009757608175, -0.0837459790147841, -0.25296413257718087, 0.11038260248024016, -0.19586016261950134, -0.15695400415919722, 0.1137806510925293, 0.07988861627876759, 0.17247628558427094, 0.0048049653321504595, 0.22796490363543853, -0.02520316356793046, 0.06574437458068133, 0.049437575237825514, -0.025469140764325857, 0.1428780722990632, 0.08012546099722385, 0.12710561513900756, 0.17796974308788777, -0.04271419767756015, -0.1398829431924969, -0.36201905459165573, -0.29738799343816935, -0.1332083671912551, 0.08598074363544583, -0.14030488127784338, -0.2829493898153305, 0.42638082285411655, 0.022510385401546956, 0.17537891941145062, 0.09061526466161013, 0.23827860326040537, 0.09275621956214308, 0.055334661034867165, 0.10095402016304433, 0.1680585098825395, 0.1734433769248426, -0.010562719022855162, -0.18750208656303585, -0.07509186093695462, 0.19498814238235354] |
707.3487 | A minimalist pilot-wave model for quantum electrodynamics | We present a way to construct a pilot-wave model for quantum electrodynamics.
The idea is to introduce beables corresponding only to the bosonic degrees of
freedom and not to the fermionic degrees of freedom of the quantum state. We
show that this is sufficient to reproduce the quantum predictions. The beables
will be field beables corresponding to the electromagnetic field and they will
be introduced in a similar way to that of Bohm's model for the free
electromagnetic field. Our approach is analogous to the situation in
non-relativistic quantum theory, where Bell treated spin not as a beable but
only as a property of the wavefunction. After presenting this model we also
discuss a simple way for introducing additional beables that represent the
fermionic degrees of freedom.
| quant-ph hep-th | we present a way to construct a pilotwave model for quantum electrodynamics the idea is to introduce beables corresponding only to the bosonic degrees of freedom and not to the fermionic degrees of freedom of the quantum state we show that this is sufficient to reproduce the quantum predictions the beables will be field beables corresponding to the electromagnetic field and they will be introduced in a similar way to that of bohms model for the free electromagnetic field our approach is analogous to the situation in nonrelativistic quantum theory where bell treated spin not as a beable but only as a property of the wavefunction after presenting this model we also discuss a simple way for introducing additional beables that represent the fermionic degrees of freedom | [['we', 'present', 'a', 'way', 'to', 'construct', 'a', 'pilotwave', 'model', 'for', 'quantum', 'electrodynamics', 'the', 'idea', 'is', 'to', 'introduce', 'beables', 'corresponding', 'only', 'to', 'the', 'bosonic', 'degrees', 'of', 'freedom', 'and', 'not', 'to', 'the', 'fermionic', 'degrees', 'of', 'freedom', 'of', 'the', 'quantum', 'state', 'we', 'show', 'that', 'this', 'is', 'sufficient', 'to', 'reproduce', 'the', 'quantum', 'predictions', 'the', 'beables', 'will', 'be', 'field', 'beables', 'corresponding', 'to', 'the', 'electromagnetic', 'field', 'and', 'they', 'will', 'be', 'introduced', 'in', 'a', 'similar', 'way', 'to', 'that', 'of', 'bohms', 'model', 'for', 'the', 'free', 'electromagnetic', 'field', 'our', 'approach', 'is', 'analogous', 'to', 'the', 'situation', 'in', 'nonrelativistic', 'quantum', 'theory', 'where', 'bell', 'treated', 'spin', 'not', 'as', 'a', 'beable', 'but', 'only', 'as', 'a', 'property', 'of', 'the', 'wavefunction', 'after', 'presenting', 'this', 'model', 'we', 'also', 'discuss', 'a', 'simple', 'way', 'for', 'introducing', 'additional', 'beables', 'that', 'represent', 'the', 'fermionic', 'degrees', 'of', 'freedom']] | [-0.12079764266249056, 0.19359641104723935, -0.13178514391843846, 0.07719418039182421, -0.0939121288027409, -0.1475704081107195, 0.022192880968695258, 0.31216103353310287, -0.2385824954108675, -0.2941017866310642, 0.007695960579439998, -0.22153167395053183, -0.15172699390064723, 0.12896850758862835, -0.06410620236901317, 0.009750491642488503, 0.012367366967121447, 0.09034391178008844, -0.05922532190777743, -0.24859598514213277, 0.2882284878269131, 0.05319715631157747, 0.20303546783228324, 0.02649222100226898, 0.12082235242687459, 0.042772131726351074, 0.050042489318059775, 0.03644035490024395, -0.09830492043286318, 0.10909242582632096, 0.247783557981194, 0.11717564005067381, 0.2424418075142179, -0.43079504111825717, -0.22486795147254834, 0.09035798932946339, 0.1252239523088838, 0.22700098843137756, 0.00027763868469422257, -0.31079419623825727, 0.027338264583368, -0.19214789646010347, -0.21156382241916996, -0.12078050806326425, -0.018350513058890565, -0.06768766267034482, -0.23613310275199698, 0.07097806757491075, 0.07238947654575638, 0.026231657141658263, -0.006434447624295305, -0.04712688041792259, 0.019249521645049998, 0.08643007582772201, 0.008685352382484794, 0.046716943540881704, 0.10896691198526758, -0.17580045231500654, -0.14071273514689275, 0.412544910245993, -0.04862717301474782, -0.2645462350993175, 0.1657423817123631, -0.12911012163019087, -0.11737488174910005, 0.04351991779394594, 0.117944121661442, 0.09760614942876607, -0.17889991803388075, 0.08576814326784009, -0.06807484570890665, 0.16422959808883528, 0.02415036809755357, 0.11879554513005877, 0.24278270303616373, 0.06030364311116887, 0.04274673251376495, 0.14509924862159812, -0.025811046519588064, -0.17365442384694388, -0.39700761432282805, -0.2137373514202108, -0.19379762195300046, 0.11624527054561089, -0.010612147909270115, -0.16369596051829538, 0.41927556450823394, 0.2144489640151847, 0.15554372712261205, 0.02101025007679824, 0.26500414066405337, 0.12113829254123243, 0.08265314920710062, 0.047034337157823555, 0.2569758098528493, 0.16108003484202535, 0.04981500344482932, -0.20741481902847786, -0.03537115088744661, 0.05061718477962876] |
707.3488 | Probing the Green-Schwarz Mechanism at the Large Hadron Collider | We investigate the phenomenology of new abelian gauge bosons, which we denote
as $X$ bosons, that suffer a mixed anomaly with the Standard Model, but are
made self-consistent by the Green-Schwarz mechanism. A distinguishing aspect of
the resulting effective theory is the decay of $X$ bosons into Standard Model
gauge bosons, $X\to ZZ, WW, \gamma Z$. We compute the production cross-section
of the $X$ boson from vector boson fusion at the Large Hadron Collider. We
study the $pp\to X\to ZZ\to 4l$ signal, and analyze the prospects of discovery.
We argue that such a discovery could indirectly probe high energies, even up to
the string scale.
| hep-ph | we investigate the phenomenology of new abelian gauge bosons which we denote as x bosons that suffer a mixed anomaly with the standard model but are made selfconsistent by the greenschwarz mechanism a distinguishing aspect of the resulting effective theory is the decay of x bosons into standard model gauge bosons xto zz ww gamma z we compute the production crosssection of the x boson from vector boson fusion at the large hadron collider we study the ppto xto zzto 4l signal and analyze the prospects of discovery we argue that such a discovery could indirectly probe high energies even up to the string scale | [['we', 'investigate', 'the', 'phenomenology', 'of', 'new', 'abelian', 'gauge', 'bosons', 'which', 'we', 'denote', 'as', 'x', 'bosons', 'that', 'suffer', 'a', 'mixed', 'anomaly', 'with', 'the', 'standard', 'model', 'but', 'are', 'made', 'selfconsistent', 'by', 'the', 'greenschwarz', 'mechanism', 'a', 'distinguishing', 'aspect', 'of', 'the', 'resulting', 'effective', 'theory', 'is', 'the', 'decay', 'of', 'x', 'bosons', 'into', 'standard', 'model', 'gauge', 'bosons', 'xto', 'zz', 'ww', 'gamma', 'z', 'we', 'compute', 'the', 'production', 'crosssection', 'of', 'the', 'x', 'boson', 'from', 'vector', 'boson', 'fusion', 'at', 'the', 'large', 'hadron', 'collider', 'we', 'study', 'the', 'ppto', 'xto', 'zzto', '4l', 'signal', 'and', 'analyze', 'the', 'prospects', 'of', 'discovery', 'we', 'argue', 'that', 'such', 'a', 'discovery', 'could', 'indirectly', 'probe', 'high', 'energies', 'even', 'up', 'to', 'the', 'string', 'scale']] | [-0.11041854517977862, 0.25908190857264257, -0.05308547793787771, 0.14912152076250917, -0.07353141594101631, -0.20345938835248706, 0.05786358185356394, 0.3160500402163182, -0.28702055676618504, -0.20862467393633866, 0.0074839178228839525, -0.29751941836660817, -0.03634018717732813, 0.09889131684654526, 0.07883681046022546, 0.04263747174824987, 0.07608062343206257, 0.028011076813120216, -0.057028588741308166, -0.25615101236672627, 0.27727900035235853, 0.026917022803709622, 0.23032612514992554, 0.07896723861673048, 0.1114038352987596, 0.06583755470457531, -0.04356083058519289, -0.09095637049481628, -0.14041427745153973, 0.065893117506944, 0.1917053408344232, 0.044745870287130986, 0.1179016179804291, -0.3066271465948029, -0.13695250285700672, 0.19591597998958257, 0.17839439423932207, 0.0810275046942046, -0.07824080708835807, -0.32762463158440025, 0.14508195380192426, -0.22626511486513273, -0.09690202226019687, -0.06395058650966912, -0.017375930092696633, -0.09785593406829451, -0.3274542351208982, 0.05642121754381584, -0.028076002090459778, 0.024318309990866552, 0.024330231077259495, -0.14539539948815391, -0.08703523478248999, -0.021720610450332363, 0.13707681389170742, 0.09407311965977506, 0.17166581294898475, -0.2406651899839441, -0.18549019400739952, 0.3962079473638109, -0.1423479335648673, -0.1536781479072358, 0.21035562085120807, -0.17083375172334767, -0.18002415524706955, 0.15468674816545985, 0.2495428742574794, 0.0791715528893595, -0.16478968394831534, 0.24363828574562268, -0.03216544789306465, 0.12466726750357165, 0.018886093311898763, 0.07831512092657032, 0.24687564093619585, 0.2036562659666829, -0.053655376675583066, 0.0930695922690488, -0.13763114620621006, -0.002009554087583508, -0.44618841459797254, -0.18445405548527127, -0.040065465237767925, 0.12643806902093013, -0.04116824709441668, -0.10998251409314218, 0.34298284689762765, 0.12992137033004492, 0.2881960093708975, 0.029686506401880513, 0.2372662873317798, 0.11866648131427134, 0.05679744014522017, 0.005425377232660096, 0.2940661783729281, 0.16641940303545977, 0.031648153244029906, -0.20029283743573442, -0.045458376806761534, 0.12523957439476535] |
707.3489 | Derivatives of embedding functors I: the stable case | For smooth manifolds $M$ and $N$, let $\Ebar(M, N)$ be the homotopy fiber of
the map $\Emb(M, N)\longrightarrow \Imm(M, N)$. Consider the functor from the
category of Euclidean spaces to the category of spectra, defined by the formula
$V\mapsto \Sigma^\infty\Ebar(M, N\times V)$. In this paper, we describe the
Taylor polynomials of this functor, in the sense of M. Weiss' orthogonal
calculus, in the case when $N$ is a nice open submanifold of a Euclidean space.
This leads to a description of the derivatives of this functor when $N$ is a
tame stably parallelizable manifold (we believe that the parallelizability
assumption is not essential). Our construction involves a certain space of
rooted forests (or, equivalently, a space of partitions) with leaves marked by
points in $M$, and a certain ``homotopy bundle of spectra'' over this space of
trees. The $n$-th derivative is then described as the ``spectrum of restricted
sections'' of this bundle. This is the first in a series of two papers. In the
second part, we will give an analogous description of the derivatives of the
functor $\Ebar(M, N\times V)$, involving a similar construction with certain
spaces of connected graphs (instead of forests) with points marked in $M$.
| math.AT | for smooth manifolds m and n let ebarm n be the homotopy fiber of the map embm nlongrightarrow immm n consider the functor from the category of euclidean spaces to the category of spectra defined by the formula vmapsto sigmainftyebarm ntimes v in this paper we describe the taylor polynomials of this functor in the sense of m weiss orthogonal calculus in the case when n is a nice open submanifold of a euclidean space this leads to a description of the derivatives of this functor when n is a tame stably parallelizable manifold we believe that the parallelizability assumption is not essential our construction involves a certain space of rooted forests or equivalently a space of partitions with leaves marked by points in m and a certain homotopy bundle of spectra over this space of trees the nth derivative is then described as the spectrum of restricted sections of this bundle this is the first in a series of two papers in the second part we will give an analogous description of the derivatives of the functor ebarm ntimes v involving a similar construction with certain spaces of connected graphs instead of forests with points marked in m | [['for', 'smooth', 'manifolds', 'm', 'and', 'n', 'let', 'ebarm', 'n', 'be', 'the', 'homotopy', 'fiber', 'of', 'the', 'map', 'embm', 'nlongrightarrow', 'immm', 'n', 'consider', 'the', 'functor', 'from', 'the', 'category', 'of', 'euclidean', 'spaces', 'to', 'the', 'category', 'of', 'spectra', 'defined', 'by', 'the', 'formula', 'vmapsto', 'sigmainftyebarm', 'ntimes', 'v', 'in', 'this', 'paper', 'we', 'describe', 'the', 'taylor', 'polynomials', 'of', 'this', 'functor', 'in', 'the', 'sense', 'of', 'm', 'weiss', 'orthogonal', 'calculus', 'in', 'the', 'case', 'when', 'n', 'is', 'a', 'nice', 'open', 'submanifold', 'of', 'a', 'euclidean', 'space', 'this', 'leads', 'to', 'a', 'description', 'of', 'the', 'derivatives', 'of', 'this', 'functor', 'when', 'n', 'is', 'a', 'tame', 'stably', 'parallelizable', 'manifold', 'we', 'believe', 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707.349 | Econophysics and Financial-Economic Monitoring | The author solves two problems: formation of object of econophysics, creation
of the general theory of financial-economic monitoring. In the first problem he
studied two fundamental tasks: a choice of conceptual model and creation of
axiomatic base. It is accepted, that the conceptual model of econophysics is a
concrete definition of entropy conceptual model. Financial and economic
monitoring is considered as monitoring of flows on entropy manifold of phase
space - on a Diffusion field.
| physics.soc-ph | the author solves two problems formation of object of econophysics creation of the general theory of financialeconomic monitoring in the first problem he studied two fundamental tasks a choice of conceptual model and creation of axiomatic base it is accepted that the conceptual model of econophysics is a concrete definition of entropy conceptual model financial and economic monitoring is considered as monitoring of flows on entropy manifold of phase space on a diffusion field | [['the', 'author', 'solves', 'two', 'problems', 'formation', 'of', 'object', 'of', 'econophysics', 'creation', 'of', 'the', 'general', 'theory', 'of', 'financialeconomic', 'monitoring', 'in', 'the', 'first', 'problem', 'he', 'studied', 'two', 'fundamental', 'tasks', 'a', 'choice', 'of', 'conceptual', 'model', 'and', 'creation', 'of', 'axiomatic', 'base', 'it', 'is', 'accepted', 'that', 'the', 'conceptual', 'model', 'of', 'econophysics', 'is', 'a', 'concrete', 'definition', 'of', 'entropy', 'conceptual', 'model', 'financial', 'and', 'economic', 'monitoring', 'is', 'considered', 'as', 'monitoring', 'of', 'flows', 'on', 'entropy', 'manifold', 'of', 'phase', 'space', 'on', 'a', 'diffusion', 'field']] | [-0.1381171807092992, 0.07016270169736566, -0.10300797435480195, 0.07680118165444583, -0.09448455484281923, -0.13894572328599925, 0.03181863737739371, 0.299977293816974, -0.25019880102292913, -0.29060784845638116, 0.1077416816622497, -0.2518915441516485, -0.1503812706450353, 0.1817672769570522, -0.11624110738016866, 0.027247519012087502, 0.04283928238107143, 0.053186113442722206, -0.015028476271451124, -0.23028667696525115, 0.3328314148380446, 0.039116458098932695, 0.3081919023565747, 0.08372392420455613, 0.14221243752871413, -0.019339660415425897, -0.07558469990318692, 0.022940328841434314, -0.09221206693581661, 0.17100593955665072, 0.27818401067240817, 0.20493278780171797, 0.35667893408822854, -0.38654043286334017, -0.2787324827151826, 0.06751733605523368, 0.04932523157991897, 0.05665725207812077, -0.025573790655471385, -0.2515763254911714, -0.018568238948245306, -0.22423432163290075, -0.11652187322190888, -0.029050007462501526, 0.07265849478977002, -0.0414038851190157, -0.21345139448405118, 0.0595472825036661, 0.08309967151364765, 0.12609548472509896, -0.13642947408496528, -0.051772478576183216, -0.020955470717839292, 0.11726753282120037, 0.06759626843582688, 0.01192782714811934, 0.14097181971914866, -0.13719278732566415, -0.18710181453089053, 0.40566732008576495, -0.024835684437405418, -0.15921084859685317, 0.1687104622959285, -0.06790072039222798, -0.18860276745367996, 0.05105947075109627, 0.18266589208065556, 0.12600923533161246, -0.15567051534968857, 0.0949204044174277, -0.05887766691425035, 0.11323008980803392, 0.04620551804986757, -0.025666311536632427, 0.19501213650879878, 0.2574580427183694, 0.05816617450752371, 0.11697984170923764, -0.011328694303645878, -0.2184234893553563, -0.3476941945594484, -0.20979268077408542, -0.17978489723660657, 0.05549181138190466, -0.06663023073790986, -0.19949524154936946, 0.41126941466024397, 0.14704734127263766, 0.11077350693931048, -0.02417100136596206, 0.285363287797097, 0.07915681551959416, -0.006686769988379171, 0.01406986575347145, 0.19913080721665677, 0.13210632329857028, 0.1542947539757635, -0.16363895531252934, 0.09684886269875474, 0.12884132314876123] |
707.3491 | Observation of a new D_sJ meson in B+->D0BD0K+ decays | We report the observation of a new $D_{sJ}$ meson produced in $B^{+} \to
\bar{D}^{0} D_{sJ} \to \bar{D}^{0} D^{0} K^{+}$. This state has a mass of
$M=2708 \pm 9 ^{+11}_{-10} \rm{MeV}/{\it c}^{2}$, a width $\Gamma = 108 \pm 23
^{+36}_{-31} ~\rm{MeV}/ {\it c}^{2}$ and a $1^{-}$ spin-parity. The results are
based on an analysis of 449 million $B\bar{B}$ events collected at the
$\Upsilon(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy
$e^{+} e^{-}$ collider.
| hep-ex | we report the observation of a new d_sj meson produced in b to bard0 d_sj to bard0 d0 k this state has a mass of m2708 pm 9 11_10 rmmevit c2 a width gamma 108 pm 23 36_31 rmmev it c2 and a 1 spinparity the results are based on an analysis of 449 million bbarb events collected at the upsilon4s resonance with the belle detector at the kekb asymmetricenergy e e collider | [['we', 'report', 'the', 'observation', 'of', 'a', 'new', 'd_sj', 'meson', 'produced', 'in', 'b', 'to', 'bard0', 'd_sj', 'to', 'bard0', 'd0', 'k', 'this', 'state', 'has', 'a', 'mass', 'of', 'm2708', 'pm', '9', '11_10', 'rmmevit', 'c2', 'a', 'width', 'gamma', '108', 'pm', '23', '36_31', 'rmmev', 'it', 'c2', 'and', 'a', '1', 'spinparity', 'the', 'results', 'are', 'based', 'on', 'an', 'analysis', 'of', '449', 'million', 'bbarb', 'events', 'collected', 'at', 'the', 'upsilon4s', 'resonance', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'asymmetricenergy', 'e', 'e', 'collider']] | [-0.13632117354891438, 0.19558351111882602, -0.0741181155545232, 0.0387685987541614, -0.03727494828079058, -0.14291751154350874, 0.09376411401815173, 0.2802198219342508, -0.1033012764427163, -0.31455857697469386, -0.057793745448799345, -0.48982905029602675, 0.09252709142215874, 0.14995078831924585, 0.0981173161957143, 0.12846973183416371, 0.16277326663713093, 0.050725186405622444, -0.02184154019029676, -0.15833855339366457, 0.17327378962722106, 0.018153966417995052, 0.15676369345274524, 0.08281391912274505, 0.022339732597069138, -0.03536814784941574, 0.015089883671506592, -0.1678433904181356, -0.19841711005141985, 0.0267152716068254, 0.2400208618491888, 0.1529035757859305, 0.16068104659949523, -0.2789078074898841, 0.05230246831163548, 0.18166652089659718, 0.1115764102736569, -0.035392256068956594, -0.0012762080203147902, -0.45446465991140494, 0.21716476408629745, -0.19560797986291026, -0.07314015436323656, 0.04800022511398825, 0.10859799546365073, -0.16849945068521344, -0.37847475186530233, 0.09908709299845109, -0.07964538861710606, 0.1427453537269131, -0.02983358457846486, -0.3110242040584917, -0.04551365029444729, -0.11018285149222483, -0.016924893672483555, 0.17281559855420736, 0.21656737658127712, -0.03069249075918418, -0.2157904582698762, 0.3025145168294725, -0.09883567197623737, -0.049001378047725426, 0.16108384426426736, -0.2851737558679736, -0.14786287341131896, 0.25240979775570443, 0.26234386614321364, 0.04988346321076371, -0.21627078430754118, 0.13090093487087448, -0.04573155182963777, 0.20670317156591278, 0.11288494595825888, 0.030658437018417684, 0.147366252788545, 0.20798727867288003, -0.003032288068662519, 0.008569980409684713, -0.19615148189747572, 0.06469663011207097, -0.426560764187488, -0.1022408197311671, -0.07810651390826788, 0.15162079788042584, 0.040384060129788166, -0.013594189618268738, 0.3748952433250953, 0.006525999035490542, 0.40963468109459983, -0.060514688569431506, 0.2416144983600015, 0.04715662166152312, -0.007271750204065187, 0.08134657943994988, 0.2897062735578072, 0.19495137277450683, 0.1729437685031714, -0.2953042685310694, -0.041339010222936456, -0.03896595717853178] |
707.3492 | Limit on the electric charge-nonconserving $\mu^+ \to invisible$ decay | The first limit on the branching ratio of the electric charge-nonconserving
invisible muon decay $Br(\mu^+ \to invisible) < 5.2 \times 10^{-3}$ is obtained
from the recently reported results on new determination of the Fermi constant
from muon decays. The results of a feasibility study of a new proposed
experiment for a sensitive search for this decay mode at the level of a few
parts in 10^{11} are presented. Constrains on the $\tau \to invisible$ decay
rate are discussed. These leptonic charge-nonconserving processes may hold in
four-dimensional world in models with infinite extra dimensions, thus making
their searches complementary to collider experiments probing new physics.
| hep-ph hep-ex | the first limit on the branching ratio of the electric chargenonconserving invisible muon decay brmu to invisible 52 times 103 is obtained from the recently reported results on new determination of the fermi constant from muon decays the results of a feasibility study of a new proposed experiment for a sensitive search for this decay mode at the level of a few parts in 1011 are presented constrains on the tau to invisible decay rate are discussed these leptonic chargenonconserving processes may hold in fourdimensional world in models with infinite extra dimensions thus making their searches complementary to collider experiments probing new physics | [['the', 'first', 'limit', 'on', 'the', 'branching', 'ratio', 'of', 'the', 'electric', 'chargenonconserving', 'invisible', 'muon', 'decay', 'brmu', 'to', 'invisible', '52', 'times', '103', 'is', 'obtained', 'from', 'the', 'recently', 'reported', 'results', 'on', 'new', 'determination', 'of', 'the', 'fermi', 'constant', 'from', 'muon', 'decays', 'the', 'results', 'of', 'a', 'feasibility', 'study', 'of', 'a', 'new', 'proposed', 'experiment', 'for', 'a', 'sensitive', 'search', 'for', 'this', 'decay', 'mode', 'at', 'the', 'level', 'of', 'a', 'few', 'parts', 'in', '1011', 'are', 'presented', 'constrains', 'on', 'the', 'tau', 'to', 'invisible', 'decay', 'rate', 'are', 'discussed', 'these', 'leptonic', 'chargenonconserving', 'processes', 'may', 'hold', 'in', 'fourdimensional', 'world', 'in', 'models', 'with', 'infinite', 'extra', 'dimensions', 'thus', 'making', 'their', 'searches', 'complementary', 'to', 'collider', 'experiments', 'probing', 'new', 'physics']] | [-0.09045683900626275, 0.21566580867597668, -0.023101523947339542, 0.1015195327737175, -0.06406956123612305, -0.14913391479576873, 0.08454314854784435, 0.27240948987626795, -0.1851371526257089, -0.31112181353797713, 0.09195309922463343, -0.30970923369289327, -0.0045970705024307905, 0.24050480235912053, 0.06091349908971403, 0.08915888015088616, 0.06710194031901584, 0.012633631213356068, -0.0543603575604018, -0.21512133180910703, 0.23927197694815328, 0.0942122456387128, 0.24145442459013056, 0.09823318763571505, 0.05232897884037235, -0.035030097101289445, -0.07900681190243415, -0.05755178153625514, -0.1506529126943338, 0.09505603908754812, 0.1832419421383261, 0.10753736721978772, 0.1403364713515828, -0.381747311903256, -0.10190602326719551, 0.1170657463002913, 0.1607235646068976, 0.06308487580517436, -0.09252523157704105, -0.3515076659675134, 0.0956627245909433, -0.1269228080827005, -0.10952851120935808, -0.0579956975125242, 0.029970162077852996, -0.07277379692347702, -0.29376223108887967, 0.06381894640467765, -0.033392172020924565, -0.01200110578706654, -0.060629126791021615, -0.18876975359819312, 0.057776160001072406, 0.05909577682429906, 0.1380241085097452, 0.028296266031499935, 0.16189132499886622, -0.1503409015609523, -0.18757649820463934, 0.3677955600663577, -0.10300564030554182, -0.17748425574973226, 0.2199573357812, -0.21650889789740932, -0.16845886325832493, 0.18806100568254616, 0.24049008034035968, 0.09069388710183672, -0.15175286122588533, 0.11865313200851774, -0.036961086689134934, 0.1542349873055326, 0.03697158381259899, 0.06406948749566137, 0.23777576407307002, 0.22614158649749058, 0.0344537255875213, 0.08552348210319581, -0.11241549022938355, -0.04842220869440917, -0.38223016179065306, -0.15640550270897918, -0.12378070184397327, 0.09264807621625686, -0.03930673974169658, -0.0714927540981386, 0.3883045026801969, 0.11637354053506203, 0.25041626777389264, 0.037231613826559914, 0.3002374719570179, 0.08324422036288398, 0.0832055554725806, 0.008220022150498612, 0.3547288789275554, 0.12415422181054803, 0.10986986158341908, -0.2091494825585644, 0.04328760344276924, 0.033956736282417826] |
707.3493 | Generation of large scale magnetic fields by coupling to curvature and
dilaton field | We investigate the generation of large scale magnetic fields in the universe
from quantum fluctuations produced in the inflationary stage. By coupling these
quantum fluctuations to the dilaton field and Ricci scalar, we show that the
magnetic fields with the strength observed today can be produced. We consider
two situations: First, the evolution of dilaton ends at the onset of the
reheating stage. Second, the dilaton continues its evolution after reheating
and then decays. In both cases, we come back to the usual Maxwell equations
after inflation and then calculate present magnetic fields.
| astro-ph | we investigate the generation of large scale magnetic fields in the universe from quantum fluctuations produced in the inflationary stage by coupling these quantum fluctuations to the dilaton field and ricci scalar we show that the magnetic fields with the strength observed today can be produced we consider two situations first the evolution of dilaton ends at the onset of the reheating stage second the dilaton continues its evolution after reheating and then decays in both cases we come back to the usual maxwell equations after inflation and then calculate present magnetic fields | [['we', 'investigate', 'the', 'generation', 'of', 'large', 'scale', 'magnetic', 'fields', 'in', 'the', 'universe', 'from', 'quantum', 'fluctuations', 'produced', 'in', 'the', 'inflationary', 'stage', 'by', 'coupling', 'these', 'quantum', 'fluctuations', 'to', 'the', 'dilaton', 'field', 'and', 'ricci', 'scalar', 'we', 'show', 'that', 'the', 'magnetic', 'fields', 'with', 'the', 'strength', 'observed', 'today', 'can', 'be', 'produced', 'we', 'consider', 'two', 'situations', 'first', 'the', 'evolution', 'of', 'dilaton', 'ends', 'at', 'the', 'onset', 'of', 'the', 'reheating', 'stage', 'second', 'the', 'dilaton', 'continues', 'its', 'evolution', 'after', 'reheating', 'and', 'then', 'decays', 'in', 'both', 'cases', 'we', 'come', 'back', 'to', 'the', 'usual', 'maxwell', 'equations', 'after', 'inflation', 'and', 'then', 'calculate', 'present', 'magnetic', 'fields']] | [-0.1586850756098346, 0.2652349513104206, -0.08067321642652474, 0.10131997728259654, -0.06307641587029862, -0.09847329111058786, -0.06800138781483095, 0.30647184612650064, -0.27162293011763244, -0.28124434883475946, 0.07955985533459092, -0.24111955198309115, -0.09477544284015092, 0.13552200581668125, 0.04186697778922896, -0.01623350402442939, 0.004613805872698625, 0.08186235531203208, -0.03768031984149549, -0.3033478613567328, 0.3619664454412076, 0.04937299567034408, 0.22722150705584515, 0.03232838439765156, 0.08700570651900864, -0.06846369640220717, 0.02931969394026104, -0.007749056249409595, -0.15725616769533748, 0.003303321188576119, 0.14682619462931348, 0.08740211215110556, 0.23222024766828425, -0.474834800647792, -0.21810130620755816, 0.13436124980388967, 0.14369516952904643, 0.17817880595052835, -0.07599854059373429, -0.28174909286361227, 0.05481648008759704, -0.10829750498536453, -0.11107050766104391, -0.07156094063514022, -0.01716773915830599, -0.041954088896032304, -0.28197841564824266, 0.09341698761789068, -0.0047631005716500105, 0.0023620181506679903, -0.08193026582825609, -0.035088750373532054, -0.038959963595174174, 0.06039479528103144, 0.17015576328686688, 0.026324240345587974, 0.19143798952278812, -0.2173556671828352, -0.08371626670467316, 0.3575442573956905, -0.190616973745887, -0.06487626312000136, 0.11488011799832826, -0.19556901266958604, -0.13816600020033537, 0.0806337200450681, 0.17777329052407895, 0.11876509600989921, -0.10644328921923153, 0.14453284766197064, 0.12290388538992854, 0.12329369219600834, 0.07651660425127835, 0.0010470112395142355, 0.31225753486436864, 0.09577938540768559, -0.02568608725328319, 0.18762116389404182, -0.06468728035988827, -0.11486804419727896, -0.3907547179729708, -0.1255161648275711, -0.13910467681344799, 0.09095059750070895, -0.11484319389179995, -0.13654612238588992, 0.42728580250054277, 0.18518059934058817, 0.19633839213319362, 0.02955777215851491, 0.2710040302806965, 0.1075651120176659, 0.04939147090959933, 0.11035220224850921, 0.3454601710001307, 0.18618436063867017, 0.20784510207432572, -0.255907619592636, -0.05629874808433395, 0.04762949070001962] |
707.3494 | Jet hadrochemistry as a characteristics of jet quenching | Jets produced in nucleus-nucleus collisions at the LHC are expected to be
strongly modified due to the interaction of the parton shower with the dense
QCD matter. Here, we point out that jet quenching can leave signatures not only
in the longitudinal and transverse jet energy and multiplicity distributions,
but also in the hadrochemical composition of the jet fragments. In particular,
we show that even in the absence of medium effects at or after hadronization,
the medium-modification of the parton shower can result in significant changes
in jet hadrochemistry. We discuss how jet hadrochemistry can be studied within
the high-multiplicity environment of nucleus-nucleus collisions at the LHC.
| hep-ph | jets produced in nucleusnucleus collisions at the lhc are expected to be strongly modified due to the interaction of the parton shower with the dense qcd matter here we point out that jet quenching can leave signatures not only in the longitudinal and transverse jet energy and multiplicity distributions but also in the hadrochemical composition of the jet fragments in particular we show that even in the absence of medium effects at or after hadronization the mediummodification of the parton shower can result in significant changes in jet hadrochemistry we discuss how jet hadrochemistry can be studied within the highmultiplicity environment of nucleusnucleus collisions at the lhc | [['jets', 'produced', 'in', 'nucleusnucleus', 'collisions', 'at', 'the', 'lhc', 'are', 'expected', 'to', 'be', 'strongly', 'modified', 'due', 'to', 'the', 'interaction', 'of', 'the', 'parton', 'shower', 'with', 'the', 'dense', 'qcd', 'matter', 'here', 'we', 'point', 'out', 'that', 'jet', 'quenching', 'can', 'leave', 'signatures', 'not', 'only', 'in', 'the', 'longitudinal', 'and', 'transverse', 'jet', 'energy', 'and', 'multiplicity', 'distributions', 'but', 'also', 'in', 'the', 'hadrochemical', 'composition', 'of', 'the', 'jet', 'fragments', 'in', 'particular', 'we', 'show', 'that', 'even', 'in', 'the', 'absence', 'of', 'medium', 'effects', 'at', 'or', 'after', 'hadronization', 'the', 'mediummodification', 'of', 'the', 'parton', 'shower', 'can', 'result', 'in', 'significant', 'changes', 'in', 'jet', 'hadrochemistry', 'we', 'discuss', 'how', 'jet', 'hadrochemistry', 'can', 'be', 'studied', 'within', 'the', 'highmultiplicity', 'environment', 'of', 'nucleusnucleus', 'collisions', 'at', 'the', 'lhc']] | [-0.054518627062141195, 0.26373124975746254, -0.20674480509258947, 0.15619030473468262, -0.011624379593105812, -0.008104404860685737, -0.09202885830484964, 0.43371471778472076, -0.23260012792669377, -0.2760506013654313, -0.01928978093860249, -0.28733329010143316, 0.05187633613185992, 0.10150936333559242, 0.03537677119723258, 0.03916494319883158, 0.13601854683409603, -0.009155944024897972, -0.04937883823855235, -0.19076521257883078, 0.3340155554513605, 0.13119827599247108, 0.15533809472349877, 0.21693142148982383, 0.0471360251518353, 0.05396982126227879, -0.02855597882320718, 0.0423280092413133, -0.08485473374869644, -0.011886808819086445, 0.2573327354011609, 0.06260316745588942, 0.13188276203820934, -0.4303090525263885, -0.14758956574676735, 0.10538022340393959, 0.18001832936468692, 0.09778632432714386, -0.037497815755108056, -0.22225350702076024, 0.13219910476110736, -0.27265102381132683, -0.14363025757044834, -0.018781053451469767, -0.05083488397089378, 0.038004347356036305, -0.24470417258298938, 0.1064663720556056, 0.025971524631011492, 0.027621618682905188, 0.03657240846484267, -0.11417039048436256, -0.1071285908857255, 0.014904722323166733, 0.12724531873761905, 0.08564927918344455, 0.22961411977907256, -0.23924397662027194, -0.1514432152803495, 0.4291338327358354, 0.012560977064565106, -0.12640924717492932, 0.21710776681089247, -0.2783704927577725, -0.1884867429408192, 0.17091764499134612, 0.28987823741703805, 0.07296958095218353, -0.1569144661419691, 0.02592551403894212, 0.0009737753590463468, 0.1277076943510076, 0.08148152820924122, 0.07849040442093644, 0.2255423974316075, 0.14828167917900983, -0.01472213863887174, 0.11287053487535988, -0.11893141331186272, -0.0657103222348389, -0.4051116339879919, -0.072966427085394, -0.12602726657400434, 0.029345411663564178, -0.09012025975120333, -0.08508134347755673, 0.38346506398663205, 0.1314012592706861, 0.2575328310705581, -0.059354822660954494, 0.29153826112314213, 0.07251674695081024, 0.04031184760475848, 0.1569619319634512, 0.31835256344726626, 0.10546256289905254, 0.18520091146336132, -0.25409133947138096, 0.11095490989732151, 0.031920760377960385] |
707.3495 | Decomposition of Cartan Matrix and conjectures on Brauer character
degrees | Let $G$ be a finite group and $N$ be a normal subgroup of $G$. Let
$J=J(F[N])$ denote the Jacboson radical of $F[N]$ and $I={\rm Ann}(J)=\{\alpha
\in F[G]|J\alpha =0\}$. We have another algebra $F[G]/I$. We study the
decomposition of Cartan matrix of $F[G]$ according to $F[G/N]$ and $F[G]/I$.
This decomposition establishs some connections between Cartan invariants and
chief composition factors of $G$. We find that existing zero-defect $p$-block
in $N$ depends on the properties of $I$ in $F[G]$ or Cartan invariants. When we
consider the Cartan invariants for a block algebra $B$ of $G$, the
decomposition is related to what kind of blocks in $N$ covered by $B$. We
mainly consider a block $B$ of $G$ which covers a block $b$ of $N$ with
$l(b)=1$. In two cases, we prove Willems' conjecture holds for these blocks,
which covers some true cases by Holm and Willems. Furthermore We give an
affirmative answer to a question by Holm and Willems in our cases. Some other
results about Cartan invariants are presented in our paper.
| math.GR math.RT | let g be a finite group and n be a normal subgroup of g let jjfn denote the jacboson radical of fn and irm annjalpha in fgjalpha 0 we have another algebra fgi we study the decomposition of cartan matrix of fg according to fgn and fgi this decomposition establishs some connections between cartan invariants and chief composition factors of g we find that existing zerodefect pblock in n depends on the properties of i in fg or cartan invariants when we consider the cartan invariants for a block algebra b of g the decomposition is related to what kind of blocks in n covered by b we mainly consider a block b of g which covers a block b of n with lb1 in two cases we prove willems conjecture holds for these blocks which covers some true cases by holm and willems furthermore we give an affirmative answer to a question by holm and willems in our cases some other results about cartan invariants are presented in our paper | [['let', 'g', 'be', 'a', 'finite', 'group', 'and', 'n', 'be', 'a', 'normal', 'subgroup', 'of', 'g', 'let', 'jjfn', 'denote', 'the', 'jacboson', 'radical', 'of', 'fn', 'and', 'irm', 'annjalpha', 'in', 'fgjalpha', '0', 'we', 'have', 'another', 'algebra', 'fgi', 'we', 'study', 'the', 'decomposition', 'of', 'cartan', 'matrix', 'of', 'fg', 'according', 'to', 'fgn', 'and', 'fgi', 'this', 'decomposition', 'establishs', 'some', 'connections', 'between', 'cartan', 'invariants', 'and', 'chief', 'composition', 'factors', 'of', 'g', 'we', 'find', 'that', 'existing', 'zerodefect', 'pblock', 'in', 'n', 'depends', 'on', 'the', 'properties', 'of', 'i', 'in', 'fg', 'or', 'cartan', 'invariants', 'when', 'we', 'consider', 'the', 'cartan', 'invariants', 'for', 'a', 'block', 'algebra', 'b', 'of', 'g', 'the', 'decomposition', 'is', 'related', 'to', 'what', 'kind', 'of', 'blocks', 'in', 'n', 'covered', 'by', 'b', 'we', 'mainly', 'consider', 'a', 'block', 'b', 'of', 'g', 'which', 'covers', 'a', 'block', 'b', 'of', 'n', 'with', 'lb1', 'in', 'two', 'cases', 'we', 'prove', 'willems', 'conjecture', 'holds', 'for', 'these', 'blocks', 'which', 'covers', 'some', 'true', 'cases', 'by', 'holm', 'and', 'willems', 'furthermore', 'we', 'give', 'an', 'affirmative', 'answer', 'to', 'a', 'question', 'by', 'holm', 'and', 'willems', 'in', 'our', 'cases', 'some', 'other', 'results', 'about', 'cartan', 'invariants', 'are', 'presented', 'in', 'our', 'paper']] | [-0.17423619575102825, 0.07971464116092987, -0.05347933820785439, -0.009059453660801771, -0.0877743062509942, -0.18666684853070112, 0.019563006150889694, 0.3345450778009303, -0.3043939988605723, -0.24741126723722162, 0.10116281826680257, -0.24931098964957363, -0.16157908585162395, 0.15308070357703796, -0.13210582692759582, -0.061393145370824506, 0.04160169765341982, 0.09245958458071193, -0.08999347323916448, -0.2926544466319617, 0.34402997842821553, -0.05644050908993077, 0.1780741396921137, 0.025577693526780007, 0.06573606236467519, -0.0011246836244925317, -0.04654533414630197, 0.011618781731585731, -0.17075207117119703, 0.09636164556225167, 0.2936407706997615, 0.13228562874971966, 0.22542223404442152, -0.3564292002379535, -0.11659437084587358, 0.16373357411995754, 0.1390177523506895, -0.012636011047008256, -0.0013169278019018113, -0.23467230846185283, 0.15894764368646744, -0.16075774608179927, -0.1292263346591667, -0.026503959470091903, 0.11110020216823702, -0.002381210975595806, -0.2723566691772676, 0.02189750007230295, 0.13137088378285428, 0.07200294670211263, -0.009810571957110282, -0.1829909919536706, -0.003418009258324213, 0.08003576069664216, -0.016684397195072653, 0.0136846029886931, 0.05151230263217291, -0.07306162174510579, -0.11893799102090928, 0.37523615759157813, -0.072448990675228, -0.2234726153336555, 0.11031683742528758, -0.16698456251803023, -0.2058295889902041, 0.028579941097961133, 0.10965283134256501, 0.14459289797491967, -0.0602132132076497, 0.19266948856045885, -0.13864432392552137, 0.05954209922571633, 0.08874613432990701, -0.04905280558369964, 0.104251580869678, 0.06569229799367667, 0.04773403104627505, 0.12817048836052025, 0.035448761265556586, 0.04465331267183282, -0.3455601437466152, -0.22608730424734125, -0.13480370883487658, 0.15446376844859086, -0.09082581161704413, -0.1269909732369145, 0.41328849672642815, 0.09806426482959595, 0.18459968539291477, 0.0725432303323865, 0.16339965098458958, 0.04151225386956056, 0.04925296001601964, 0.11583204598569996, 0.10890930931975207, 0.2645763939580353, -0.04540811210635107, -0.18173497389295104, 0.005476166931098798, 0.17158953847885355] |
707.3496 | Dynamics of symmetric holomorphic maps on projective spaces | We consider complex dynamics of a critically finite holomorphic map from P^k
to P^k, which has symmetries associated with the symmetric group S_{k+2} acting
on P^k, for each k \ge 1. The Fatou set of each map of this family consists of
attractive basins of superattracting points. Each map of this family satisfies
Axiom A.
| math.DS | we consider complex dynamics of a critically finite holomorphic map from pk to pk which has symmetries associated with the symmetric group s_k2 acting on pk for each k ge 1 the fatou set of each map of this family consists of attractive basins of superattracting points each map of this family satisfies axiom a | [['we', 'consider', 'complex', 'dynamics', 'of', 'a', 'critically', 'finite', 'holomorphic', 'map', 'from', 'pk', 'to', 'pk', 'which', 'has', 'symmetries', 'associated', 'with', 'the', 'symmetric', 'group', 's_k2', 'acting', 'on', 'pk', 'for', 'each', 'k', 'ge', '1', 'the', 'fatou', 'set', 'of', 'each', 'map', 'of', 'this', 'family', 'consists', 'of', 'attractive', 'basins', 'of', 'superattracting', 'points', 'each', 'map', 'of', 'this', 'family', 'satisfies', 'axiom', 'a']] | [-0.2294592934237285, 0.05777207309888168, -0.08354444841600277, -0.02817194843241437, -0.04383858130736785, -0.14454194664616477, 0.005998678428163244, 0.28362615810791875, -0.31461856365203855, -0.13691227737475525, 0.037917842377315866, -0.34552153687585485, -0.13343935846774416, 0.1623913078230213, -0.023420473086563025, 0.021854964283887637, -0.014667774423618208, 0.11822110544890166, -0.05733057250353423, -0.20217331285292114, 0.4149379405447028, -0.07044847099618479, 0.16970184875482863, -0.04422523325139826, 0.18298713395541363, -0.00442843476141041, 0.00028635581785982307, -0.031948006923564455, -0.1841687126931819, 0.10590527382763949, 0.2157621978020126, 0.12713515730574726, 0.2632725387811661, -0.3136951018124819, -0.1917026140134443, 0.2681212902577086, 0.09826004682955417, -0.030219677939418366, 0.012432188970375468, -0.26612102665345777, 0.13525247321972114, -0.12554746083915233, -0.18048946109854364, -0.05202718107876453, 0.11590141963044351, 0.06324890003624288, -0.25893474702130664, -0.0077375942841172215, 0.11367682624946941, 0.13574316654015672, -0.05260069222951477, -0.12215577393600886, -0.10755493393252519, 0.10833590267310765, -0.029132487313737247, 0.08022507702593099, 0.12640064824160865, -0.028318414286794987, -0.047594977339560335, 0.39189711305185815, -0.06499197933484208, -0.22973325753753834, 0.14839122407138347, -0.1643673845651475, -0.22461980744688348, 0.18576744205572387, 0.14561337749579584, 0.10872108886357058, -0.06888876388018782, 0.20930528033694082, -0.13308938045732, 0.13918723310555586, 0.08702908385206352, -0.04615345822477883, 0.16461830870671706, 0.10645912325179036, 0.15078128178138286, 0.16849935193630783, -0.02958051644117487, -0.058162734894589944, -0.3503771706738255, -0.15157759082080288, -0.13874711419709704, 0.11403638425875794, -0.1183762882582166, -0.1979436807673086, 0.4393996338275346, 0.04748855297538367, 0.22958747063848106, 0.07849626724227247, 0.20684386700053106, 0.05550080204028001, 0.03969258935275403, 0.055725566069172186, 0.07832298796962608, 0.12158889846706933, -0.07792649828744205, -0.1661997992587699, 0.009600550291890447, 0.13593866454268044] |
707.3497 | Generating mapping class groups of nonorientable surfaces with boundary | We obtain simple generating sets for various mapping class groups of a
nonorientable surface with punctures and/or boundary. We also compute the
abelianizations of these mapping class groups.
| math.GT | we obtain simple generating sets for various mapping class groups of a nonorientable surface with punctures andor boundary we also compute the abelianizations of these mapping class groups | [['we', 'obtain', 'simple', 'generating', 'sets', 'for', 'various', 'mapping', 'class', 'groups', 'of', 'a', 'nonorientable', 'surface', 'with', 'punctures', 'andor', 'boundary', 'we', 'also', 'compute', 'the', 'abelianizations', 'of', 'these', 'mapping', 'class', 'groups']] | [-0.16490731069019862, 0.101878554427198, -0.03832610440440476, 0.10652731625097138, -0.10955031495541334, -0.13386295571191503, 0.05294401235213237, 0.4054348474102361, -0.26863481530121397, -0.30614574976997183, 0.12881939673596726, -0.23404751930918014, -0.17131143691949546, 0.27015067597052883, -0.11027812600202326, 0.004389375647796052, 0.03002068744639733, 0.004914303044123309, -0.13647115057600395, -0.23548389891428606, 0.4493192917268191, -0.13899149808899633, 0.2002611749672464, 0.040596875229052136, 0.05362714052067271, -0.017447605313334082, -0.06188362226488867, 0.057928845818553655, -0.18045169218177243, 0.2029553859860503, 0.28007702466233503, 0.040195311569342654, 0.11758070651973997, -0.3791541505405413, -0.24224221353818262, 0.21523690060712397, 0.03732074758071186, 0.11358960717916489, -0.11753081277545009, -0.273077777054693, 0.09129215600634259, -0.16379510025892938, -0.15843286719505809, -0.0896189194505236, 0.019748620223253965, 0.005199057914848838, -0.20510738263172762, -0.04634375032972977, 0.002731592593980687, 0.11256876328427877, -0.10501088458113372, -0.0785523426852056, -0.02739906680653803, 0.24094461139091955, -0.010915186289431793, 0.0065549575291307905, 0.11121624472018864, -0.11534844604986054, -0.054735606270177026, 0.34117057054702726, -0.028640585452584282, -0.23784006905875035, 0.28737010021827053, -0.17401383198531611, -0.26774710859172046, 0.12487594868122999, 0.17057295416348747, 0.19135394798857824, -0.09036351068477545, 0.12569495563262276, -0.1421461642146044, 0.04596943421555417, 0.11090803026620831, -0.03179014966424022, 0.17101997858844697, 0.0645629378767418, 0.13059544267265924, 0.22459953956838166, -0.08022038935450837, 0.06310223235881754, -0.37852776130395277, -0.23738462527814722, -0.09568670315534941, 0.08500321463881326, -0.13560816507586942, -0.2544044828474788, 0.4409687194441046, 0.043866250630734224, 0.1681658463286502, 0.2484913582115301, 0.13697141781449318, 0.08210838523726645, 0.05998051632195711, 0.09756284656136163, -0.01261522640873279, 0.16333711346877472, -0.15307049486520036, -0.16111611169097678, -0.06290732084640435, 0.22812580636569432] |
707.3498 | Two-stage Kondo effect in side-coupled quantum dots: Renormalized
perturbative scaling theory and Numerical Renormalization Group analysis | We study numerically and analytically the dynamical (AC) conductance through
a two-dot system, where only one of the dots is coupled to the leads but it is
also side-coupled to the other dot through an antiferromagnetic exchange (RKKY)
interaction. In this case the RKKY interaction gives rise to a ``two-stage
Kondo effect'' where the two spins are screened by two consecutive Kondo
effects. We formulate a renormalized scaling theory that captures remarkably
well the cross-over from the strongly conductive correlated regime to the low
temperature low conductance state. Our analytical formulas agree well with our
numerical renormalization group results. The frequency dependent current noise
spectrum is also discussed.
| cond-mat.mes-hall cond-mat.str-el | we study numerically and analytically the dynamical ac conductance through a twodot system where only one of the dots is coupled to the leads but it is also sidecoupled to the other dot through an antiferromagnetic exchange rkky interaction in this case the rkky interaction gives rise to a twostage kondo effect where the two spins are screened by two consecutive kondo effects we formulate a renormalized scaling theory that captures remarkably well the crossover from the strongly conductive correlated regime to the low temperature low conductance state our analytical formulas agree well with our numerical renormalization group results the frequency dependent current noise spectrum is also discussed | [['we', 'study', 'numerically', 'and', 'analytically', 'the', 'dynamical', 'ac', 'conductance', 'through', 'a', 'twodot', 'system', 'where', 'only', 'one', 'of', 'the', 'dots', 'is', 'coupled', 'to', 'the', 'leads', 'but', 'it', 'is', 'also', 'sidecoupled', 'to', 'the', 'other', 'dot', 'through', 'an', 'antiferromagnetic', 'exchange', 'rkky', 'interaction', 'in', 'this', 'case', 'the', 'rkky', 'interaction', 'gives', 'rise', 'to', 'a', 'twostage', 'kondo', 'effect', 'where', 'the', 'two', 'spins', 'are', 'screened', 'by', 'two', 'consecutive', 'kondo', 'effects', 'we', 'formulate', 'a', 'renormalized', 'scaling', 'theory', 'that', 'captures', 'remarkably', 'well', 'the', 'crossover', 'from', 'the', 'strongly', 'conductive', 'correlated', 'regime', 'to', 'the', 'low', 'temperature', 'low', 'conductance', 'state', 'our', 'analytical', 'formulas', 'agree', 'well', 'with', 'our', 'numerical', 'renormalization', 'group', 'results', 'the', 'frequency', 'dependent', 'current', 'noise', 'spectrum', 'is', 'also', 'discussed']] | [-0.18490149762645294, 0.1937001923163027, -0.05711470203715618, 0.07154775408950324, -0.03270901277816544, -0.2262325268077095, 0.05102880247135612, 0.3644736170622141, -0.28670986880617283, -0.26007939624186194, 0.008833962159567617, -0.33799989294170196, -0.17745495900184055, 0.1896864966213427, 0.04043774176197648, -0.03864918592282467, -0.006194970422829674, 0.017654045370700595, -0.06320606233095061, -0.21633022889080974, 0.29005768664029785, 0.031194004269006353, 0.2910456425786294, 0.1193539916270378, 0.028761767644297193, 0.019017317450898526, 0.10042062306914616, 0.057104222761053175, -0.12558069157111512, 0.005576253756535826, 0.24265204991765874, -0.11538096760503119, 0.2024938687078517, -0.42042297923385546, -0.1580246638558391, -0.005881766417857121, 0.1668468363069998, 0.1728748515511311, -0.03989585545086474, -0.2824785897715224, -0.0011538280070655877, -0.21522298691949496, -0.07373974158016844, -0.08545637587559651, -0.03020302120906611, -0.007408241366243197, -0.3016458300063042, 0.14756877178324093, 0.019664821097211207, 0.010645315706453941, -0.034886000902150514, -0.07037238824866815, -0.007824412547051907, 0.11953484879632015, 0.06618630736796115, 0.012472463394428982, 0.1598129408386605, -0.08492931002035255, -0.08361729499194082, 0.33276367541057644, -0.0859422960493248, -0.15139233420982404, 0.19519259105436504, -0.18736407285366483, -0.061802721121003504, 0.1209780217182857, 0.06376669803392832, 0.09624018336439298, -0.1579008665662345, 0.10201315411271665, -0.0207320104042689, 0.16341839956132592, -0.027092493143519043, 0.05406253558531818, 0.20567966335349613, 0.18560692046648236, 0.05763784366125172, 0.17333735897436445, -0.07184346756656412, -0.15193782453597696, -0.2631553900597889, -0.07929273737870433, -0.21979768519910672, 0.06443351839617309, -0.08706111178495728, -0.18920441057222584, 0.4284615437500179, 0.18938220316475188, 0.20313946576034478, 0.020068976427730242, 0.3068090464954299, 0.18991549332255359, 0.0284481320478436, 0.027910821782252578, 0.23749595626981723, 0.19704835519789615, 0.07109884897902331, -0.35789453015550626, 0.011611085316097294, 0.026647612489156286] |
707.3499 | A comparison theorem for simplicial resolutions | It is well known that Barr and Beck's definition of comonadic homology makes
sense also with a functor of coefficients taking values in a semi-abelian
category instead of an abelian one. The question arises whether such a homology
theory has the same convenient properties as in the abelian case. Here we focus
on independence of the chosen comonad: conditions for homology to depend on the
induced class of projectives only.
| math.AT math.CT | it is well known that barr and becks definition of comonadic homology makes sense also with a functor of coefficients taking values in a semiabelian category instead of an abelian one the question arises whether such a homology theory has the same convenient properties as in the abelian case here we focus on independence of the chosen comonad conditions for homology to depend on the induced class of projectives only | [['it', 'is', 'well', 'known', 'that', 'barr', 'and', 'becks', 'definition', 'of', 'comonadic', 'homology', 'makes', 'sense', 'also', 'with', 'a', 'functor', 'of', 'coefficients', 'taking', 'values', 'in', 'a', 'semiabelian', 'category', 'instead', 'of', 'an', 'abelian', 'one', 'the', 'question', 'arises', 'whether', 'such', 'a', 'homology', 'theory', 'has', 'the', 'same', 'convenient', 'properties', 'as', 'in', 'the', 'abelian', 'case', 'here', 'we', 'focus', 'on', 'independence', 'of', 'the', 'chosen', 'comonad', 'conditions', 'for', 'homology', 'to', 'depend', 'on', 'the', 'induced', 'class', 'of', 'projectives', 'only']] | [-0.15927572435965495, 0.08707867442551236, -0.0962392700303878, 0.10325100903033411, -0.1425476287325312, -0.14472028089554181, -0.0008329669254765447, 0.3449991028489811, -0.36016935392149857, -0.22474237530758337, 0.09027438695941653, -0.18566256759638367, -0.15215164276638202, 0.18586582940604005, -0.1925002237582313, -0.04440157430258945, 0.027266884029709868, 0.14327080208542092, -0.04262870194589985, -0.27138487650081516, 0.41643894121183883, 0.0011794002926243203, 0.2568203194266451, 0.08697907435499863, 0.12366648245868939, 0.02599037922253566, -0.019145107182807156, 0.015543030175779547, -0.16600809591774512, 0.07144368904243623, 0.27937566763056176, 0.05771463566592761, 0.2016298892857906, -0.36222378833751595, -0.10680293895836387, 0.16595515382775505, 0.056154562579467895, 0.04413713396061212, -0.0049682209567566, -0.247831206153413, 0.11483857565160309, -0.21002514722890087, -0.1121868842015309, -0.06926764034266983, 0.09383573865384928, -0.0065895592195114915, -0.26045742293021507, -0.028603082566405647, 0.12475121017445677, 0.1068846951105765, -0.06909780575494681, -0.06062660662989531, -0.06586109457337963, 0.128544237697497, 0.02748410555733634, 0.019513722369447352, 0.13098262258406196, -0.1591229564776378, -0.10591508983135489, 0.41198452229478527, -0.08917021626174183, -0.24108213559125682, 0.16043484478390643, -0.11965670049456613, -0.21800497062504293, 0.08557454552168825, -0.0009668972476252487, 0.19267142579358604, -0.015655971385006393, 0.21446678651679707, -0.15537512684240937, 0.12384240716097078, 0.0884730504426573, 0.05665546508638986, 0.13579802036817584, 0.1157660385660295, 0.061641112191136924, 0.1331569160401289, 0.012710472588826504, -0.0739936293501939, -0.3137661557112421, -0.17002446416091907, -0.1460165702804391, 0.14212715354348932, -0.055961496263002376, -0.23760632163445863, 0.38401803682957375, 0.12411565590383751, 0.18739335985322084, 0.1010593061601477, 0.24024174542033247, 0.055838345654774454, 0.0746646374330989, -0.01399964824584978, 0.15964811598615988, 0.22647660129836628, -0.009134395573554294, -0.09228026429191231, 0.08024665267605867, 0.21990721954831055] |
707.35 | Coulomb tunneling for fusion reactions in dense matter: Path integral
Monte Carlo versus mean field | We compare Path Integral Monte Carlo calculations by Militzer and Pollock
(Phys. Rev. B 71, 134303, 2005) of Coulomb tunneling in nuclear reactions in
dense matter to semiclassical calculations assuming WKB Coulomb barrier
penetration through the radial mean-field potential. We find a very good
agreement of two approaches at temperatures higher than ~1/5 of the ion plasma
temperature. We obtain a simple parameterization of the mean field potential
and of the respective reaction rates. We analyze Gamow-peak energies of
reacting ions in various reaction regimes and discuss theoretical uncertainties
of nuclear reaction rates taking carbon burning in dense stellar matter as an
example.
| astro-ph nucl-th | we compare path integral monte carlo calculations by militzer and pollock phys rev b 71 134303 2005 of coulomb tunneling in nuclear reactions in dense matter to semiclassical calculations assuming wkb coulomb barrier penetration through the radial meanfield potential we find a very good agreement of two approaches at temperatures higher than 15 of the ion plasma temperature we obtain a simple parameterization of the mean field potential and of the respective reaction rates we analyze gamowpeak energies of reacting ions in various reaction regimes and discuss theoretical uncertainties of nuclear reaction rates taking carbon burning in dense stellar matter as an example | [['we', 'compare', 'path', 'integral', 'monte', 'carlo', 'calculations', 'by', 'militzer', 'and', 'pollock', 'phys', 'rev', 'b', '71', '134303', '2005', 'of', 'coulomb', 'tunneling', 'in', 'nuclear', 'reactions', 'in', 'dense', 'matter', 'to', 'semiclassical', 'calculations', 'assuming', 'wkb', 'coulomb', 'barrier', 'penetration', 'through', 'the', 'radial', 'meanfield', 'potential', 'we', 'find', 'a', 'very', 'good', 'agreement', 'of', 'two', 'approaches', 'at', 'temperatures', 'higher', 'than', '15', 'of', 'the', 'ion', 'plasma', 'temperature', 'we', 'obtain', 'a', 'simple', 'parameterization', 'of', 'the', 'mean', 'field', 'potential', 'and', 'of', 'the', 'respective', 'reaction', 'rates', 'we', 'analyze', 'gamowpeak', 'energies', 'of', 'reacting', 'ions', 'in', 'various', 'reaction', 'regimes', 'and', 'discuss', 'theoretical', 'uncertainties', 'of', 'nuclear', 'reaction', 'rates', 'taking', 'carbon', 'burning', 'in', 'dense', 'stellar', 'matter', 'as', 'an', 'example']] | [-0.060499575493170074, 0.153064034835128, -0.060609556701502226, 0.08326151623001811, 0.04737218707637156, -0.09815491516215419, 0.0906913539222939, 0.38680128721990487, -0.17210484268505452, -0.30974940161754205, -0.06521716195348541, -0.2969122893149847, -0.0264326515291067, 0.17926022097088615, 0.016937119524600436, 0.030939768701430084, 0.06878842967924056, -0.0168016804998189, -0.09819045020900305, -0.1948790041440465, 0.23852916899164325, 0.11884281933940585, 0.20726483270019583, 0.1334099948159826, 0.050642862359911785, 0.011133412631608329, 0.004320263609434795, -0.007962385545150169, -0.23811059475249668, 0.028427865075905924, 0.2394433768502283, 0.006985126558275333, 0.2049493837143177, -0.4882610871103927, -0.244350817090678, 0.06139463474250679, 0.13853626425414192, 0.17173343556661846, -0.08728670865609266, -0.23817927150272775, -0.0043161582197198305, -0.2595044798624602, -0.1418876619060135, -0.10000615572507122, 0.057212218317854245, 0.07884401255920168, -0.28671581092408127, 0.12929601476355954, -0.05344401690566424, 0.07609911923377562, -0.10803803031160994, -0.17389067643982115, -0.030236482567117702, 0.014849407516998573, 0.014880652782434904, 0.04283525450104278, 0.20837953861676228, -0.11881790370782114, -0.06413033847850792, 0.3712405900389535, -0.08484375406154408, -0.07207176646271955, 0.21540058406015622, -0.16735333496777033, -0.11044186564361297, 0.18352790901582072, 0.13785932765532177, 0.13951921165984088, -0.20027305333178888, 0.09682015726372184, 0.03187806825424789, 0.07391714961771674, 0.10388110701935095, -0.018516575325988528, 0.1412637462516375, 0.17937104192616654, -0.04494315436001397, 0.03833872035331685, -0.15087901894455252, -0.16231396200940085, -0.2727409661431046, -0.1340029579225602, -0.1270214838780535, 0.07896404934468344, -0.09939921832176092, -0.11599409492523635, 0.32355049287604204, 0.12373964186504628, 0.19527885253152366, -0.017267833983760725, 0.25594427015234544, 0.10579973673425362, -0.03446085876457448, 0.09845833517430187, 0.28408469051999735, 0.2456102861493862, 0.08182351030318917, -0.2960118025324298, -0.0011221870748344266, 0.043678870153369256] |
707.3501 | Doping and energy evolution of spin dynamics in the electron-doped
cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-\delta}$ | The doping and energy evolution of the magnetic excitations of the
electron-doped cuprate superconductor Pr$_{0.88}$LaCe$_{0.12}$CuO$_{4-\delta}$
in the superconducting state is studied based on the kinetic energy driven
superconducting mechanism. It is shown that there is a broad commensurate
scattering peak at low energy, then the resonance energy is located among this
low energy commensurate scattering range. This low energy commensurate
scattering disperses outward into a continuous ring-like incommensurate
scattering at high energy. The theory also predicts a dome shaped doping
dependent resonance energy.
| cond-mat.supr-con cond-mat.str-el | the doping and energy evolution of the magnetic excitations of the electrondoped cuprate superconductor pr_088lace_012cuo_4delta in the superconducting state is studied based on the kinetic energy driven superconducting mechanism it is shown that there is a broad commensurate scattering peak at low energy then the resonance energy is located among this low energy commensurate scattering range this low energy commensurate scattering disperses outward into a continuous ringlike incommensurate scattering at high energy the theory also predicts a dome shaped doping dependent resonance energy | [['the', 'doping', 'and', 'energy', 'evolution', 'of', 'the', 'magnetic', 'excitations', 'of', 'the', 'electrondoped', 'cuprate', 'superconductor', 'pr_088lace_012cuo_4delta', 'in', 'the', 'superconducting', 'state', 'is', 'studied', 'based', 'on', 'the', 'kinetic', 'energy', 'driven', 'superconducting', 'mechanism', 'it', 'is', 'shown', 'that', 'there', 'is', 'a', 'broad', 'commensurate', 'scattering', 'peak', 'at', 'low', 'energy', 'then', 'the', 'resonance', 'energy', 'is', 'located', 'among', 'this', 'low', 'energy', 'commensurate', 'scattering', 'range', 'this', 'low', 'energy', 'commensurate', 'scattering', 'disperses', 'outward', 'into', 'a', 'continuous', 'ringlike', 'incommensurate', 'scattering', 'at', 'high', 'energy', 'the', 'theory', 'also', 'predicts', 'a', 'dome', 'shaped', 'doping', 'dependent', 'resonance', 'energy']] | [-0.20545468994319757, 0.27905023947468865, -0.03731079897616149, 0.11835037191432514, -0.037265449237055714, -0.14032653703854034, 0.06777652887281076, 0.3687519295504544, -0.26684225625472097, -0.2745671407603545, -0.05557926944258237, -0.3399281100733433, -0.04459009559189037, 0.13447998872980838, 0.09556610065671366, -0.016028105502766444, -0.05179748482783552, 0.009908478320916979, -0.1160465524639798, -0.1402749062356789, 0.3373018644988628, 0.10876189675409256, 0.35929090958997245, 0.1563164268041075, 0.09072880593991679, 0.02264612253255597, 0.17404947068723964, -0.03878938293129933, -0.17222848795001217, -0.0018671278546496136, 0.3221166504365278, -0.11962253259915132, 0.19868757198678283, -0.42201083685021573, -0.24416417596867399, 0.005897444990895144, 0.16721809219296385, 0.09243652365445841, -0.09312373671890804, -0.2142073524684259, 0.015343176507640903, -0.13732539140051458, -0.14562603503056779, -0.018212661030702293, -0.024915500538332795, 0.005310874909344242, -0.22813928251086577, 0.13136182077727337, 0.021053246452427673, 0.0529920942967803, -0.19398785599439247, -0.10804185438219731, -0.11069554813978512, -0.06656770458197925, 0.03723024193015767, 0.1083925039189436, 0.1793254991857017, -0.08570197210420014, -0.004551968656525743, 0.285317313175921, -0.003325307582754914, -0.02386734175791101, 0.15208524264815468, -0.21715183768466842, -0.06948858027051134, 0.30584048510460954, 0.09926724907865453, 0.02884113811319921, -0.0930390018947059, 0.09409089774644377, 0.002606923305770246, 0.2052140328010953, 0.09097369803433739, 0.11689577068247628, 0.2962247811984725, 0.2834329163292196, 0.04923359756130816, 0.08387924882969479, -0.17645183406917878, -0.05768545296202164, -0.24302615503576108, -0.08511888549276968, -0.2388322606410195, 0.04201629618750658, -0.03889967099654846, -0.18755506185875787, 0.40603366368109495, 0.10210381118898712, 0.1968017731702364, -0.10928148409442567, 0.2821787740728568, 0.2152467051424404, 0.08206276302424646, 0.10456409222991546, 0.26685019862474646, 0.1458709455413244, 0.18845481412462528, -0.308542014616428, 0.014036813109159106, -0.07020136370166012] |
707.3502 | INTEGRAL and Swift Observations of Blazars in Outburst | The blazars 3C 454.3, PKS 0537-441 and PKS 2155-304 are traditionally known
to be among the most active sources of this class. They emit at all
frequencies, up to the gamma-rays, and are good probes of multiwavelength
nuclear variability. The first two have also luminous broad emission line
regions. We have recently monitored them with various facilities, including
Swift and INTEGRAL, and have interpreted their variations with models of
non-thermal radiation from a relativistic jet. In particular, we have tested
for the first two sources the hypothesis that the variability is produced
within the jet through internal shocks, i.e. collisions of relativistic plasma
blobs. This allows a parameterization of all physical quantities as functions
of the bulk Lorentz factor. We have made the critical assumption that every
flaring episode is characterized by a fixed amount of energy. The model
reproduces brilliantly the multiwavelength data and especially the gamma-ray
spectra, when available. The model is not applicable to PKS 2155-304, the
variability of which is caused by independent variations of few individual
parameters.
| astro-ph | the blazars 3c 4543 pks 0537441 and pks 2155304 are traditionally known to be among the most active sources of this class they emit at all frequencies up to the gammarays and are good probes of multiwavelength nuclear variability the first two have also luminous broad emission line regions we have recently monitored them with various facilities including swift and integral and have interpreted their variations with models of nonthermal radiation from a relativistic jet in particular we have tested for the first two sources the hypothesis that the variability is produced within the jet through internal shocks ie collisions of relativistic plasma blobs this allows a parameterization of all physical quantities as functions of the bulk lorentz factor we have made the critical assumption that every flaring episode is characterized by a fixed amount of energy the model reproduces brilliantly the multiwavelength data and especially the gammaray spectra when available the model is not applicable to pks 2155304 the variability of which is caused by independent variations of few individual parameters | [['the', 'blazars', '3c', '4543', 'pks', '0537441', 'and', 'pks', '2155304', 'are', 'traditionally', 'known', 'to', 'be', 'among', 'the', 'most', 'active', 'sources', 'of', 'this', 'class', 'they', 'emit', 'at', 'all', 'frequencies', 'up', 'to', 'the', 'gammarays', 'and', 'are', 'good', 'probes', 'of', 'multiwavelength', 'nuclear', 'variability', 'the', 'first', 'two', 'have', 'also', 'luminous', 'broad', 'emission', 'line', 'regions', 'we', 'have', 'recently', 'monitored', 'them', 'with', 'various', 'facilities', 'including', 'swift', 'and', 'integral', 'and', 'have', 'interpreted', 'their', 'variations', 'with', 'models', 'of', 'nonthermal', 'radiation', 'from', 'a', 'relativistic', 'jet', 'in', 'particular', 'we', 'have', 'tested', 'for', 'the', 'first', 'two', 'sources', 'the', 'hypothesis', 'that', 'the', 'variability', 'is', 'produced', 'within', 'the', 'jet', 'through', 'internal', 'shocks', 'ie', 'collisions', 'of', 'relativistic', 'plasma', 'blobs', 'this', 'allows', 'a', 'parameterization', 'of', 'all', 'physical', 'quantities', 'as', 'functions', 'of', 'the', 'bulk', 'lorentz', 'factor', 'we', 'have', 'made', 'the', 'critical', 'assumption', 'that', 'every', 'flaring', 'episode', 'is', 'characterized', 'by', 'a', 'fixed', 'amount', 'of', 'energy', 'the', 'model', 'reproduces', 'brilliantly', 'the', 'multiwavelength', 'data', 'and', 'especially', 'the', 'gammaray', 'spectra', 'when', 'available', 'the', 'model', 'is', 'not', 'applicable', 'to', 'pks', '2155304', 'the', 'variability', 'of', 'which', 'is', 'caused', 'by', 'independent', 'variations', 'of', 'few', 'individual', 'parameters']] | [-0.05919794399063861, 0.14513327220054126, -0.07964501759513866, 0.11651438557296494, -0.09076981758428088, -0.11964977680445583, -0.0176168262084058, 0.48224318714076003, -0.1822122754292227, -0.35272853521543535, 0.07669358014407958, -0.3026855878849537, -0.012098076008801717, 0.2436427486900145, 0.003927351121092215, 0.017504588769191098, 0.051434188629067394, -0.08301942634699476, 0.01751649774933169, -0.203864566285331, 0.2947989572651771, 0.11386898049521585, 0.207758947048163, 0.009803196407183138, 0.12259554773841363, -0.06277815331799672, -0.05062733732196394, -0.013537568629713902, -0.05596697150504888, 0.07846292265881054, 0.2266832886132465, 0.11062697821792024, 0.2239767150401116, -0.35625113267637654, -0.28762827669595215, 0.11153781961522412, 0.1197964133069374, 0.012234009436174665, 0.0012236663971507793, -0.26684656757374053, 0.039814114918509974, -0.19324331629620647, -0.1401292880847143, 0.02049622641941316, 0.04264272307451858, 0.059063915180876246, -0.1828991832336151, 0.10006759940970791, -0.021179514948270542, 0.06273678698215558, -0.12968778578722903, -0.042586207234159894, -0.06360712393693257, 0.10900234230634957, 0.12588902857076095, 0.03816216600230397, 0.1506243693980058, -0.13703394000659436, -0.12980021621901974, 0.41765170054358625, -0.012792403195161632, -0.05790048467840046, 0.20830977690232874, -0.20121435193090462, -0.2606183968966307, 0.20044417822798496, 0.14702748376048688, 0.1334696675591214, -0.1647555003756404, 0.012221676389196736, -0.048967556816764006, 0.1630352656370527, 0.030868198491462377, 0.09628781703636484, 0.2536051405572094, 0.10768867783291741, -0.028135109885709445, 0.14502187429989558, -0.21207522071757878, 0.0017588055620868799, -0.32000551419806406, -0.037105607204572406, -0.15313485597915472, 0.06852200484726656, -0.09118913552075081, -0.10798135413152035, 0.4290790666479531, 0.0842800680575026, 0.19114770543718235, -0.017981829437790007, 0.27134923891944074, 0.10603734072728277, 0.06969339072130361, 0.17033532663616677, 0.3523472954497434, 0.10268591383612867, 0.10670444807091858, -0.17120393578604076, 0.09905907930467862, -0.006677766525468161] |
707.3503 | Simple Coherent Polarization Manipulation Scheme for Generating High
Power Radially Polarized Beam | We present a simple novel scheme that converts a Gaussian beam into an
approximated radially polarized beam using coherent polarization manipulation
together with Poynting walk-off in birefringent crystals. Our scheme alleviates
the interferometric stability required by previous schemes that implemented
this coherent mode summation using Mach-Zehnder-like interferometers. A
symmetrical arrangement of two walk-off crystals with a half-wave plate, allows
coherence control even when the laser has short temporal coherence length. We
generated 14 watts of radially polarized beam from an Ytterbium fiber laser,
only limited by the available fiber laser power.
| physics.optics | we present a simple novel scheme that converts a gaussian beam into an approximated radially polarized beam using coherent polarization manipulation together with poynting walkoff in birefringent crystals our scheme alleviates the interferometric stability required by previous schemes that implemented this coherent mode summation using machzehnderlike interferometers a symmetrical arrangement of two walkoff crystals with a halfwave plate allows coherence control even when the laser has short temporal coherence length we generated 14 watts of radially polarized beam from an ytterbium fiber laser only limited by the available fiber laser power | [['we', 'present', 'a', 'simple', 'novel', 'scheme', 'that', 'converts', 'a', 'gaussian', 'beam', 'into', 'an', 'approximated', 'radially', 'polarized', 'beam', 'using', 'coherent', 'polarization', 'manipulation', 'together', 'with', 'poynting', 'walkoff', 'in', 'birefringent', 'crystals', 'our', 'scheme', 'alleviates', 'the', 'interferometric', 'stability', 'required', 'by', 'previous', 'schemes', 'that', 'implemented', 'this', 'coherent', 'mode', 'summation', 'using', 'machzehnderlike', 'interferometers', 'a', 'symmetrical', 'arrangement', 'of', 'two', 'walkoff', 'crystals', 'with', 'a', 'halfwave', 'plate', 'allows', 'coherence', 'control', 'even', 'when', 'the', 'laser', 'has', 'short', 'temporal', 'coherence', 'length', 'we', 'generated', '14', 'watts', 'of', 'radially', 'polarized', 'beam', 'from', 'an', 'ytterbium', 'fiber', 'laser', 'only', 'limited', 'by', 'the', 'available', 'fiber', 'laser', 'power']] | [-0.1813741594854906, 0.21623274464202422, -0.07546467307422842, -0.04639478245523635, -0.0516458656843547, -0.22039878119683856, 0.010311593503721959, 0.5496473998486341, -0.26401896443177053, -0.17662243857201967, 0.016257176234560845, -0.19686320188450807, -0.023213970986614516, 0.2669896914695318, -0.020583410112821793, 0.08900772470591979, 0.055719468770753386, -0.1131369491148699, -0.0047436391126881305, -0.14130232692696154, 0.2908443563929912, 0.07248925202741073, 0.37111212600759425, -0.045045600579744514, 0.19783932901918888, 0.07440049410541798, 0.003525550477206707, -0.0252891338461048, -0.08549216013177231, 0.11835406208410859, 0.19548539087114916, 0.0441451763099694, 0.24221041017713454, -0.45415563783147833, -0.24652738767870508, 0.03576967309505402, 0.1249582120991353, 0.18147835157207817, -0.07606403111828143, -0.2950879724307375, 0.009370543640925662, -0.17626883944107608, -0.13115670562691087, -0.04824050942661016, -0.0605043186959657, 0.07762224129964035, -0.26341842714656183, -0.018971988905712472, 0.053714670054102825, 0.07127612757568176, 0.012479823097397298, -0.04300113083733307, -2.6836016491710485e-05, -0.013328446019990984, -0.06568685302428984, 0.05372476765558451, 0.1271365132326117, -0.08267585887154053, -0.11046291886736731, 0.36160810230361234, -0.11701814110319202, -0.16167489186461484, 0.047541696087017166, -0.14988365126159656, 0.01646589784506212, 0.23833469198095603, 0.1474764967576478, 0.12440859028496422, -0.09386827035600467, -0.03125711856921623, -0.04840975890324994, 0.3133201416131559, 0.22871184220107701, 0.07539890826792343, 0.2054548670056757, 0.1801440707116214, 0.07410170668531414, 0.2040963089093566, -0.14281129866715644, -0.0039720073301386044, -0.28460418391502, -0.07922846450378279, -0.16749173777713952, 0.07035145121575384, -0.03156539158649988, -0.06760234657961589, 0.39803153809931086, 0.06676313630049373, 0.08235772123949213, -0.01723533284922059, 0.403815090574406, 0.09245662512078595, 0.08541165778392946, 0.004378244925576907, 0.24523140160510173, 0.19673547352495308, 0.13807937989502653, -0.23827262583270586, -0.043524140758173804, -0.006713676417328335] |
707.3504 | Limit theorems for conditioned multitype Dawson-Watanabe processes and
Feller diffusions | A multitype Dawson-Watanabe process is conditioned, in subcritical and
critical cases, on non-extinction in the remote future. On every finite time
interval, its distribution is absolutely continuous with respect to the law of
the unconditioned process. A martingale problem characterization is also given.
Several results on the long time behavior of the conditioned mass process|the
conditioned multitype Feller branching diffusion are then proved. The general
case is first considered, where the mutation matrix which models the
interaction between the types, is irreducible. Several two-type models with
decomposable mutation matrices are analyzed too.
| math.PR | a multitype dawsonwatanabe process is conditioned in subcritical and critical cases on nonextinction in the remote future on every finite time interval its distribution is absolutely continuous with respect to the law of the unconditioned process a martingale problem characterization is also given several results on the long time behavior of the conditioned mass processthe conditioned multitype feller branching diffusion are then proved the general case is first considered where the mutation matrix which models the interaction between the types is irreducible several twotype models with decomposable mutation matrices are analyzed too | [['a', 'multitype', 'dawsonwatanabe', 'process', 'is', 'conditioned', 'in', 'subcritical', 'and', 'critical', 'cases', 'on', 'nonextinction', 'in', 'the', 'remote', 'future', 'on', 'every', 'finite', 'time', 'interval', 'its', 'distribution', 'is', 'absolutely', 'continuous', 'with', 'respect', 'to', 'the', 'law', 'of', 'the', 'unconditioned', 'process', 'a', 'martingale', 'problem', 'characterization', 'is', 'also', 'given', 'several', 'results', 'on', 'the', 'long', 'time', 'behavior', 'of', 'the', 'conditioned', 'mass', 'processthe', 'conditioned', 'multitype', 'feller', 'branching', 'diffusion', 'are', 'then', 'proved', 'the', 'general', 'case', 'is', 'first', 'considered', 'where', 'the', 'mutation', 'matrix', 'which', 'models', 'the', 'interaction', 'between', 'the', 'types', 'is', 'irreducible', 'several', 'twotype', 'models', 'with', 'decomposable', 'mutation', 'matrices', 'are', 'analyzed', 'too']] | [-0.07106067836803445, 0.1754096032312626, -0.05715419307006928, 0.08306488605316902, -0.03611508333225451, -0.16924772476878666, 0.053228495576742876, 0.4000901567304264, -0.29173420149448287, -0.13874601374149992, 0.17599708914918744, -0.2632341802970547, -0.12072587421204409, 0.18339863677671098, -0.07439407081667172, 0.08898233272497158, 0.08064146237650319, 0.09649992738243031, 0.016592768911758194, -0.2719751788485471, 0.31791601374963013, 0.006414621147205648, 0.27619830494918657, 0.027898737082622298, 0.12979794180263643, 0.0021889734679185176, -0.05194582315364286, -0.03469217253414963, -0.11991700079290793, 0.027975754702271406, 0.21094564071506244, 0.08482921419098326, 0.2940234892961124, -0.3470532443895101, -0.16097874938429374, 0.22699083462762443, 0.13280018699436408, 0.06418489342752803, -0.0029778552239092633, -0.31449432648546266, 0.05331079318863846, -0.13304802813850666, -0.1190008499821567, 0.019896027234727113, 0.08467121355984684, 0.07398790837538874, -0.32692228464166756, 0.08933118482356962, 0.11830651733781332, 0.01751520531378565, -0.046316410998216546, -0.10750810779585585, -0.0604876402421328, 0.14143573390522404, 0.04703275203950318, -0.025677973035034603, 0.1485092573661266, -0.06023209658451378, -0.1412959664442536, 0.31537381833945605, -0.05902865407583506, -0.2647291986555185, 0.21236423318497027, -0.20326507481260467, -0.1958951073921407, 0.1174034047719982, 0.15574687408060645, 0.14323304283963176, -0.195724632570763, 0.1378003051093243, -0.034559087615217206, 0.0750600194113086, 0.04244504881131908, -0.044033571798734, 0.13102654808038927, 0.2360193682125891, 0.09476524764423906, 0.13687077865419586, -0.029756486145070874, -0.16620372918576165, -0.32015688883004023, -0.1338794707806538, -0.19955846158099239, 0.10087992345063906, -0.1574177909185338, -0.20294123999369534, 0.3372427788689611, 0.13080911179397092, 0.23204626169298653, 0.18280368836966102, 0.21413444175445678, 0.1969632427714279, -0.03263322490206717, 0.019079861823347925, 0.09473821830571345, 0.18116165061972267, 0.1069689006190342, -0.1568400078774531, 0.2054716477287002, 0.11231081103703575] |
707.3505 | Molecular content of a type-Ia SN host galaxy at z=0.6 | We study the properties and the molecular content of the host of a type-Ia
supernova (SN1997ey). This z=0.575 host is the brightest submillimetre source
of the sample of type-Ia supernova hosts observed at 450um and 850um by Farrah
et al.. Observations were performed at IRAM-30m to search for CO(2-1) and
CO(3-2) lines in good weather conditions but no signal was detected. The star
formation rate cannot exceed 50 M_sol/yr. These negative results are confronted
with an optical analysis of a Keck spectrum and other data archives. We reach
the conclusion that this galaxy is a late-type system (0.7 L^B_*), with a small
residual star-formation activity (0.2 M_sol/yr) detected in the optical. No
source of heating (AGN or starburst) is found to explain the
submillimetre-continuum flux and the non-CO detection excludes the presence of
a large amount of cold gas. We thus suggest that either the star formation
activity is hidden in the nucleus (with A_V ~ 4) or this galaxy is passive or
anemic and this flux might be associated with a background galaxy.
| astro-ph | we study the properties and the molecular content of the host of a typeia supernova sn1997ey this z0575 host is the brightest submillimetre source of the sample of typeia supernova hosts observed at 450um and 850um by farrah et al observations were performed at iram30m to search for co21 and co32 lines in good weather conditions but no signal was detected the star formation rate cannot exceed 50 m_solyr these negative results are confronted with an optical analysis of a keck spectrum and other data archives we reach the conclusion that this galaxy is a latetype system 07 lb_ with a small residual starformation activity 02 m_solyr detected in the optical no source of heating agn or starburst is found to explain the submillimetrecontinuum flux and the nonco detection excludes the presence of a large amount of cold gas we thus suggest that either the star formation activity is hidden in the nucleus with a_v 4 or this galaxy is passive or anemic and this flux might be associated with a background galaxy | [['we', 'study', 'the', 'properties', 'and', 'the', 'molecular', 'content', 'of', 'the', 'host', 'of', 'a', 'typeia', 'supernova', 'sn1997ey', 'this', 'z0575', 'host', 'is', 'the', 'brightest', 'submillimetre', 'source', 'of', 'the', 'sample', 'of', 'typeia', 'supernova', 'hosts', 'observed', 'at', '450um', 'and', '850um', 'by', 'farrah', 'et', 'al', 'observations', 'were', 'performed', 'at', 'iram30m', 'to', 'search', 'for', 'co21', 'and', 'co32', 'lines', 'in', 'good', 'weather', 'conditions', 'but', 'no', 'signal', 'was', 'detected', 'the', 'star', 'formation', 'rate', 'can', 'not', 'exceed', '50', 'm_solyr', 'these', 'negative', 'results', 'are', 'confronted', 'with', 'an', 'optical', 'analysis', 'of', 'a', 'keck', 'spectrum', 'and', 'other', 'data', 'archives', 'we', 'reach', 'the', 'conclusion', 'that', 'this', 'galaxy', 'is', 'a', 'latetype', 'system', '07', 'lb_', 'with', 'a', 'small', 'residual', 'starformation', 'activity', '02', 'm_solyr', 'detected', 'in', 'the', 'optical', 'no', 'source', 'of', 'heating', 'agn', 'or', 'starburst', 'is', 'found', 'to', 'explain', 'the', 'submillimetrecontinuum', 'flux', 'and', 'the', 'nonco', 'detection', 'excludes', 'the', 'presence', 'of', 'a', 'large', 'amount', 'of', 'cold', 'gas', 'we', 'thus', 'suggest', 'that', 'either', 'the', 'star', 'formation', 'activity', 'is', 'hidden', 'in', 'the', 'nucleus', 'with', 'a_v', '4', 'or', 'this', 'galaxy', 'is', 'passive', 'or', 'anemic', 'and', 'this', 'flux', 'might', 'be', 'associated', 'with', 'a', 'background', 'galaxy']] | [-0.0664202448790006, 0.08340685582143556, -0.02166345428087793, 0.07149696504555843, -0.08676836413880144, -0.07087392480822191, 0.05708163781119289, 0.44716657682632405, -0.13564116921597383, -0.3591368978211124, 0.10329832157765936, -0.33841182272659526, -0.020154429154769917, 0.17310040853945316, -0.029241461509151294, -0.07047337865723032, 0.06187684770321496, -0.06625051374153589, -0.02465542882869375, -0.2806275184598884, 0.2675418391333681, 0.1242294864135883, 0.19431301718837599, -0.0006076452824951654, 0.0531481382294303, -0.14877404666012375, -0.11107221115629987, -0.03744140577258631, -0.1229405532371207, 0.03524521395697126, 0.23837795920363056, 0.14094342334595109, 0.2049773905891925, -0.35276265049309413, -0.24209827090436148, 0.12075942039622792, 0.17159877224254333, 0.07697498741479303, -0.09532256144198722, -0.2846951530303895, 0.0677403687105176, -0.17012931277713506, -0.1614930699385392, 0.09320778118923218, 0.009365080024941736, 0.02093613199429542, -0.2402040041495292, 0.16139623965691066, 0.0011750600561277853, 0.11904283057499145, -0.1133174818560725, -0.061574779358038324, -0.07748514754209845, 0.0609385254834446, -0.0099410862381947, 0.10579233697665456, 0.19460024309643945, -0.1613008236967116, -0.036765741622297184, 0.3808155940912132, -0.0640683485377979, 0.005723555307624684, 0.2568855646975516, -0.21812416321786476, -0.20044226047494226, 0.17762111028423533, 0.1363377464752245, 0.07702728580971736, -0.16468452520590895, -0.03800255833179801, -0.049696626116721224, 0.25188982573204804, 0.012502540022112606, 0.06465571983772818, 0.3283419176559186, 0.12687477163438285, 0.021632428181224635, 0.09599202067225374, -0.25344709575438173, 0.011815621611493129, -0.239587285705576, -0.09467286481854639, -0.15063579669610286, 0.11561812970371864, -0.09194198638492491, -0.08048997995709735, 0.31011581961259554, 0.0867573735636792, 0.23775442055332296, 0.027084902024528543, 0.28711992051726803, 0.07286837948430773, 0.12081797415019191, 0.10891328901440527, 0.32427004760219935, 0.13867550398710937, 0.09215231189349045, -0.25338505122843863, 0.0936355446271288, -0.029821340959253057] |
707.3506 | SUSY structures on deformed supermanifolds | We construct a geometric structure on deformed supermanifolds as a certain
subalgebra of the vector fields. In the classical limit we obtain a decoupling
of the infinitesimal odd and even transformations, whereas in the semiclassical
limit the result is a representation of the supersymmetry algebra. In the case
of mass preserving structure we describe all high energy corrections to this
algebra.
| math.DG | we construct a geometric structure on deformed supermanifolds as a certain subalgebra of the vector fields in the classical limit we obtain a decoupling of the infinitesimal odd and even transformations whereas in the semiclassical limit the result is a representation of the supersymmetry algebra in the case of mass preserving structure we describe all high energy corrections to this algebra | [['we', 'construct', 'a', 'geometric', 'structure', 'on', 'deformed', 'supermanifolds', 'as', 'a', 'certain', 'subalgebra', 'of', 'the', 'vector', 'fields', 'in', 'the', 'classical', 'limit', 'we', 'obtain', 'a', 'decoupling', 'of', 'the', 'infinitesimal', 'odd', 'and', 'even', 'transformations', 'whereas', 'in', 'the', 'semiclassical', 'limit', 'the', 'result', 'is', 'a', 'representation', 'of', 'the', 'supersymmetry', 'algebra', 'in', 'the', 'case', 'of', 'mass', 'preserving', 'structure', 'we', 'describe', 'all', 'high', 'energy', 'corrections', 'to', 'this', 'algebra']] | [-0.17753388552514257, 0.10789100274626838, -0.09410679851063207, 0.12228659462550136, -0.06573591359173421, -0.05048767843695938, -0.002041780282972289, 0.3143892417677113, -0.2944529705574034, -0.24280049709496318, 0.12603878442457586, -0.23155680678968057, -0.1287504689859562, 0.12357676035312355, -0.08059114295622853, -0.005143512872459947, 0.03403394759373098, 0.12165750256266261, -0.15072899561024225, -0.1908527920709648, 0.35833502102826464, 0.025076636342240163, 0.2520877718925476, 0.004475005278287486, 0.1471001637305637, 0.04753044149533036, 0.03402212936980802, -0.01693620475879336, -0.11320822150064785, 0.10012042123946499, 0.22391419344749608, 0.031366631068045, 0.1693277766729598, -0.383087424133889, -0.14572755502323148, 0.14178899445830553, 0.14305490956137903, 0.14910614905787295, -0.027556263316865462, -0.2457152268673736, 0.07241760660726272, -0.1974848985794138, -0.1701053028132339, -0.11302788781582332, 0.014433808922462288, -0.06662806569308531, -0.24953132308637876, 0.05257598616060664, 0.12631472277447398, 0.0743741567903122, -0.10195897946317421, -0.035384795017784736, -0.07892257276422451, 0.07764775385377837, 0.004306432451350523, 0.02310309003939333, 0.1264864670372278, -0.15728848207299215, -0.1015928775486231, 0.3989193362687699, -0.07130801299067795, -0.26681362068066833, 0.11210955996982387, -0.2046987529019596, -0.21212419023218212, 0.07650521525074958, 0.11895157763215362, 0.1425947414469699, -0.06765725453132306, 0.22448949688247818, -0.06596863779743187, 0.0767637664055238, 0.08049452296824607, 0.05733498520233103, 0.14833786057644202, 0.12970601332938816, 0.05333246870851908, 0.153030828122416, -0.012150246081263071, -0.08571345284275833, -0.3819262783088889, -0.17712073382295546, -0.11808840942485105, 0.13458292775588934, -0.13255331526318617, -0.19031053731126374, 0.4104853805124027, 0.130476259659846, 0.22987501622849435, 0.08492968124948198, 0.23853281523543793, 0.16208573297757778, 0.11601233947258748, 0.047678612746092204, 0.2313260645223934, 0.22598342036782595, 0.04205052678274815, -0.17792257832241107, -0.10428494782584002, 0.14627829653623162] |
707.3507 | Workspace and Kinematic Analysis of the VERNE machine | This paper describes the workspace and the inverse and direct kinematic
analysis of the VERNE machine, a serial/parallel 5-axis machine tool designed
by Fatronik for IRCCyN. This machine is composed of a three-degree-of-freedom
(DOF) parallel module and a two-DOF serial tilting table. The parallel module
consists of a moving platform that is connected to a fixed base by three
non-identical legs. This feature involves (i) a simultaneous combination of
rotation and translation for the moving platform, which is balanced by the
tilting table and (ii) workspace whose shape and volume vary as a function of
the tool length. This paper summarizes results obtained in the context of the
European projects NEXT ("Next Generation of Productions Systems").
| cs.RO | this paper describes the workspace and the inverse and direct kinematic analysis of the verne machine a serialparallel 5axis machine tool designed by fatronik for irccyn this machine is composed of a threedegreeoffreedom dof parallel module and a twodof serial tilting table the parallel module consists of a moving platform that is connected to a fixed base by three nonidentical legs this feature involves i a simultaneous combination of rotation and translation for the moving platform which is balanced by the tilting table and ii workspace whose shape and volume vary as a function of the tool length this paper summarizes results obtained in the context of the european projects next next generation of productions systems | [['this', 'paper', 'describes', 'the', 'workspace', 'and', 'the', 'inverse', 'and', 'direct', 'kinematic', 'analysis', 'of', 'the', 'verne', 'machine', 'a', 'serialparallel', '5axis', 'machine', 'tool', 'designed', 'by', 'fatronik', 'for', 'irccyn', 'this', 'machine', 'is', 'composed', 'of', 'a', 'threedegreeoffreedom', 'dof', 'parallel', 'module', 'and', 'a', 'twodof', 'serial', 'tilting', 'table', 'the', 'parallel', 'module', 'consists', 'of', 'a', 'moving', 'platform', 'that', 'is', 'connected', 'to', 'a', 'fixed', 'base', 'by', 'three', 'nonidentical', 'legs', 'this', 'feature', 'involves', 'i', 'a', 'simultaneous', 'combination', 'of', 'rotation', 'and', 'translation', 'for', 'the', 'moving', 'platform', 'which', 'is', 'balanced', 'by', 'the', 'tilting', 'table', 'and', 'ii', 'workspace', 'whose', 'shape', 'and', 'volume', 'vary', 'as', 'a', 'function', 'of', 'the', 'tool', 'length', 'this', 'paper', 'summarizes', 'results', 'obtained', 'in', 'the', 'context', 'of', 'the', 'european', 'projects', 'next', 'next', 'generation', 'of', 'productions', 'systems']] | [-0.1712497811729048, 0.09576909525330057, -0.034334213076078375, -0.03258898697651761, -0.08660908165063871, -0.15117055161896606, 0.020087672130751383, 0.3688728471489056, -0.30516845857643565, -0.2797257465512856, 0.09348371745512375, -0.21153554508219594, -0.13049601582891268, 0.20635605527331, -0.04795557396618001, 0.04411307900496151, 0.10346816793570052, 0.03103842481808818, -0.01903295639052015, -0.202688017253683, 0.3265026020614997, 0.061057956140164446, 0.3115885179489851, -0.01554091899331821, 0.1665919539032747, 0.07682523150401918, -0.07422891196025455, 0.02279216304583394, -0.08546591314680763, 0.19056321988692101, 0.24057598580484804, 0.1451284851109528, 0.25791295248124263, -0.3416670362100653, -0.10703402211985794, 0.04580293591741635, 0.13940319359788428, 0.05217013625407835, -0.03929976839572191, -0.2560169397691346, 0.08577969084068647, -0.2052847959668092, -0.1271177844022927, -0.025196153257528078, 0.04493740443950114, 0.042297768021893244, -0.26124815231432086, -0.030831548786195723, 0.07845133821981068, 0.11668630845682776, -0.03149452951291333, -0.06412392243257035, 0.018596809057761794, 0.14153322031033103, -0.007246685754912703, 0.07062599946056371, 0.1295387246155018, -0.13625651867250385, -0.16722224122318236, 0.3796544289904768, -0.02018786542846457, -0.19482832141220569, 0.17008485441885726, -0.054458469560916496, -0.12081092512235045, 0.09107957926133405, 0.19903520562726518, 0.1088468121972097, -0.16072136828999806, 0.07488391309996824, -0.052739505287583754, 0.1614133607920097, 0.05670401948382673, -0.0567536855318948, 0.21165869501448628, 0.25747588995196247, 0.03406505571000035, 0.17971395686339667, -0.11594927766886742, -0.07131829202661048, -0.3219170385404773, -0.21697956144647754, -0.14793306334025186, -0.027417405851630737, -0.04807873551895761, -0.14989494185327837, 0.4144167772170318, 0.0709585518056132, 0.16887167431414127, 0.057289659846371604, 0.35273256677648296, 0.021071123071622264, 0.1139916667998161, 0.07749687314600401, 0.17979014794058773, 0.09061945381716056, 0.13162125655571405, -0.18668652503730973, 0.04171884909839086, 0.07639756611264918] |
707.3508 | Expected Performance of a Self-Coherent Camera | Residual wavefront errors in optical elements limit the performance of
coronagraphs. To improve their efficiency, different types of devices have been
proposed to correct or calibrate these errors. In this paper, we study one of
these techniques proposed by Baudoz et al. 2006 and called Self-Coherent Camera
(SCC). The principle of this instrument is based on the lack of coherence
between the stellar light and the planet that is searched for. After recalling
the principle of the SCC, we simulate its performance under realistic
conditions and compare it with the performance of differential imaging.
| astro-ph | residual wavefront errors in optical elements limit the performance of coronagraphs to improve their efficiency different types of devices have been proposed to correct or calibrate these errors in this paper we study one of these techniques proposed by baudoz et al 2006 and called selfcoherent camera scc the principle of this instrument is based on the lack of coherence between the stellar light and the planet that is searched for after recalling the principle of the scc we simulate its performance under realistic conditions and compare it with the performance of differential imaging | [['residual', 'wavefront', 'errors', 'in', 'optical', 'elements', 'limit', 'the', 'performance', 'of', 'coronagraphs', 'to', 'improve', 'their', 'efficiency', 'different', 'types', 'of', 'devices', 'have', 'been', 'proposed', 'to', 'correct', 'or', 'calibrate', 'these', 'errors', 'in', 'this', 'paper', 'we', 'study', 'one', 'of', 'these', 'techniques', 'proposed', 'by', 'baudoz', 'et', 'al', '2006', 'and', 'called', 'selfcoherent', 'camera', 'scc', 'the', 'principle', 'of', 'this', 'instrument', 'is', 'based', 'on', 'the', 'lack', 'of', 'coherence', 'between', 'the', 'stellar', 'light', 'and', 'the', 'planet', 'that', 'is', 'searched', 'for', 'after', 'recalling', 'the', 'principle', 'of', 'the', 'scc', 'we', 'simulate', 'its', 'performance', 'under', 'realistic', 'conditions', 'and', 'compare', 'it', 'with', 'the', 'performance', 'of', 'differential', 'imaging']] | [-0.06899601423872574, 0.05665072284373505, -0.08883995760071983, 0.035379663991030826, -0.0553832014456832, -0.08722317442598362, 0.04060823054889077, 0.4117774809961037, -0.2078783891717052, -0.37019032603930885, 0.12429730473987517, -0.2181301978917452, -0.16200252525228007, 0.24745585014092264, -0.17219900027898852, 0.09723836703223467, 0.10726404849249589, -0.03936469699105909, -0.07640256418506064, -0.295577625028028, 0.3104726328684758, 0.09372181247579314, 0.29113519430330764, 0.024265375145415585, 0.14018684104385395, 0.0034819662080256527, -0.057589971225067815, 0.009459727814280859, -0.12122528067007923, 0.11547607995609763, 0.20209121315174244, 0.15158029236350087, 0.23674421501095577, -0.42044463357137096, -0.21110170170344333, 0.09194371540860463, 0.059548519561768216, 0.07186209898121575, -0.03728618727050601, -0.305179740272222, 0.1199693127825696, -0.14456457033958686, -0.11325071241580806, -0.03270293011139798, 0.005309895023963945, 0.050631101641263214, -0.2468462691664876, 0.033354427615400924, 0.06114975504216648, 0.0719808450529492, -0.03057110792114174, -0.09622417691774586, 0.009170123135610934, 0.15379568046930256, -0.0021258235548532777, -0.023931629097049115, 0.10705188474047088, -0.1065279115241782, -0.09690830253705543, 0.3682139801882928, -0.035836904640159296, -0.13596787526001852, 0.1969778363124132, -0.09551565090234401, -0.1090171070849543, 0.09092277328493775, 0.20142633269631094, 0.10147772815519122, -0.18126689598605197, 0.039661596710067644, 0.017737924168887798, 0.15501652495755303, 0.08153899035025988, 0.08610438688167481, 0.18476890683204175, 0.18195068471694506, 0.03421722181511903, 0.11650444082515214, -0.20003225145641193, -0.029215287370231723, -0.23343816963374936, -0.16273197381486815, -0.1487597299048737, -0.03234428418700092, -0.047823517337492766, -0.1111029026308848, 0.38828597813644394, 0.25224380803004065, 0.13139805974819327, 0.0269763174476803, 0.35343119205646617, 0.09183106917927983, 0.08135859050627758, 0.04458918979939734, 0.32874890650817823, 0.134483805028922, 0.10625107076159247, -0.2678524805620934, 0.05301422903674745, 0.038905375056289215] |
707.3509 | Upper bound of loss probability in an OFDMA system with randomly located
users | For OFDMA systems, we find a rough but easily computed upper bound for the
probability of loosing communications by insufficient number of sub-channels on
downlink. We consider as random the positions of receiving users in the system
as well as the number of sub-channels dedicated to each one. We use recent
results of the theory of point processes which reduce our calculations to the
first and second moments of the total required number of sub-carriers.
| math.PR cs.IT cs.NI math.IT | for ofdma systems we find a rough but easily computed upper bound for the probability of loosing communications by insufficient number of subchannels on downlink we consider as random the positions of receiving users in the system as well as the number of subchannels dedicated to each one we use recent results of the theory of point processes which reduce our calculations to the first and second moments of the total required number of subcarriers | [['for', 'ofdma', 'systems', 'we', 'find', 'a', 'rough', 'but', 'easily', 'computed', 'upper', 'bound', 'for', 'the', 'probability', 'of', 'loosing', 'communications', 'by', 'insufficient', 'number', 'of', 'subchannels', 'on', 'downlink', 'we', 'consider', 'as', 'random', 'the', 'positions', 'of', 'receiving', 'users', 'in', 'the', 'system', 'as', 'well', 'as', 'the', 'number', 'of', 'subchannels', 'dedicated', 'to', 'each', 'one', 'we', 'use', 'recent', 'results', 'of', 'the', 'theory', 'of', 'point', 'processes', 'which', 'reduce', 'our', 'calculations', 'to', 'the', 'first', 'and', 'second', 'moments', 'of', 'the', 'total', 'required', 'number', 'of', 'subcarriers']] | [-0.19019773612730206, 0.08047695483391483, -0.0048210946408410865, 0.020523468932757773, -0.04087227761745453, -0.12513045454397798, 0.16653869883933414, 0.31304987174769244, -0.23681914508342744, -0.3439100281521678, 0.08168959722233315, -0.2696415644884109, -0.13250406982998053, 0.1702309114082406, -0.06785741357753675, 0.08069137881199519, 0.03613657942662636, 0.08646587952661018, -0.026505158056194585, -0.30638157325796783, 0.2922736091973881, 0.08432995406289895, 0.27056190602481367, 0.015029509415229162, 0.058317064798126615, 0.06976530799952646, -0.04249742204944293, -0.030553327525655427, -0.09259083253641923, 0.12065480129793286, 0.27016862356414395, 0.16925012627616526, 0.28401140853762624, -0.4670750469962756, -0.22495708608378967, 0.0894713147295018, 0.1651788030937314, 0.08618603448538731, -0.01955318765869985, -0.25296015905837216, 0.10565560120157898, -0.19587656230976183, -0.08812567223484317, -0.016007411715885003, -0.014073701997598012, 0.10180533650020758, -0.3076156008740266, 0.024849718431942166, 0.015051815933547914, 0.02203878534210768, -0.054630228638028105, -0.145160652428555, -0.018318001379569373, 0.20762820107862354, 0.06538997324183583, -0.026113475356251, 0.07120335036888718, -0.11045356814206267, -0.11672887212286392, 0.40512008433540664, -0.029853915258621175, -0.2116717972109715, 0.1668916317820549, -0.15464098158602912, -0.12388805276403825, 0.13883352893094222, 0.24390880611414711, 0.11394006176541249, -0.13534483266373476, 0.014742972651341309, -0.04049619047592084, 0.16356966432688447, 0.06525045740107695, 0.11243841476738453, 0.15297957959429673, 0.13808357330660026, 0.1339711369946599, 0.14936404763720929, -0.11242425343953073, -0.07869949832558631, -0.2863734021782875, -0.15548040076857433, -0.2620676936147114, 0.006764720963935058, -0.0505321551298645, -0.12777184053789825, 0.3530082299001515, 0.15037815779447555, 0.2022063253695766, 0.10613603109338632, 0.3578103745480378, 0.15748813142689566, 0.06277146156256398, 0.0922069677679489, 0.173826889321208, 0.14446303288636653, 0.08039201285379628, -0.18473716539990467, 0.03961752635271599, 0.04387317775438229] |
707.351 | Analytic solution of the Schrodinger equation for an electron in the
field of a molecule with an electric dipole moment | We relax the usual diagonal constraint on the matrix representation of the
eigenvalue wave equation by allowing it to be tridiagonal. This results in a
larger solution space that incorporates an exact analytic solution for the
non-central electric dipole potential cos(theta)/r^2, which was known not to
belong to the class of exactly solvable potentials. As a result, we were able
to obtain an exact analytic solution of the three-dimensional time-independent
Schrodinger equation for a charged particle in the field of a point electric
dipole that could carry a nonzero net charge. This problem models the
interaction of an electron with a molecule (neutral or ionized) that has a
permanent electric dipole moment. The solution is written as a series of square
integrable functions that support a tridiagonal matrix representation for the
angular and radial components of the wave operator. Moreover, this solution is
for all energies, the discrete (for bound states) as well as the continuous
(for scattering states). The expansion coefficients of the radial and angular
components of the wavefunction are written in terms of orthogonal polynomials
satisfying three-term recursion relations. For the Coulomb-free case, where the
molecule is neutral, we calculate critical values for its dipole moment below
which no electron capture is allowed. These critical values are obtained not
only for the ground state, where it agrees with already known results, but also
for excited states as well.
| physics.chem-ph math-ph math.MP physics.atom-ph | we relax the usual diagonal constraint on the matrix representation of the eigenvalue wave equation by allowing it to be tridiagonal this results in a larger solution space that incorporates an exact analytic solution for the noncentral electric dipole potential costhetar2 which was known not to belong to the class of exactly solvable potentials as a result we were able to obtain an exact analytic solution of the threedimensional timeindependent schrodinger equation for a charged particle in the field of a point electric dipole that could carry a nonzero net charge this problem models the interaction of an electron with a molecule neutral or ionized that has a permanent electric dipole moment the solution is written as a series of square integrable functions that support a tridiagonal matrix representation for the angular and radial components of the wave operator moreover this solution is for all energies the discrete for bound states as well as the continuous for scattering states the expansion coefficients of the radial and angular components of the wavefunction are written in terms of orthogonal polynomials satisfying threeterm recursion relations for the coulombfree case where the molecule is neutral we calculate critical values for its dipole moment below which no electron capture is allowed these critical values are obtained not only for the ground state where it agrees with already known results but also for excited states as well | [['we', 'relax', 'the', 'usual', 'diagonal', 'constraint', 'on', 'the', 'matrix', 'representation', 'of', 'the', 'eigenvalue', 'wave', 'equation', 'by', 'allowing', 'it', 'to', 'be', 'tridiagonal', 'this', 'results', 'in', 'a', 'larger', 'solution', 'space', 'that', 'incorporates', 'an', 'exact', 'analytic', 'solution', 'for', 'the', 'noncentral', 'electric', 'dipole', 'potential', 'costhetar2', 'which', 'was', 'known', 'not', 'to', 'belong', 'to', 'the', 'class', 'of', 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707.3511 | Continuous or discrete attractors in neural circuits? A self-organized
switch at maximal entropy | A recent experiment suggests that neural circuits may alternatively implement
continuous or discrete attractors, depending on the training set up. In
recurrent neural network models, continuous and discrete attractors are
separately modeled by distinct forms of synaptic prescriptions (learning
rules). Here, we report a solvable network model, endowed with Hebbian synaptic
plasticity, which is able to learn either discrete or continuous attractors,
depending on the frequency of presentation of stimuli and on the structure of
sensory coding. A continuous attractor is learned when experience matches
sensory coding, i.e. when the distribution of experienced stimuli matches the
distribution of preferred stimuli of neurons. In that case, there is no
processing of sensory information and neural activity displays maximal entropy.
If experience goes beyond sensory coding, processing is initiated and the
continuous attractor is destabilized into a set of discrete attractors.
| physics.bio-ph | a recent experiment suggests that neural circuits may alternatively implement continuous or discrete attractors depending on the training set up in recurrent neural network models continuous and discrete attractors are separately modeled by distinct forms of synaptic prescriptions learning rules here we report a solvable network model endowed with hebbian synaptic plasticity which is able to learn either discrete or continuous attractors depending on the frequency of presentation of stimuli and on the structure of sensory coding a continuous attractor is learned when experience matches sensory coding ie when the distribution of experienced stimuli matches the distribution of preferred stimuli of neurons in that case there is no processing of sensory information and neural activity displays maximal entropy if experience goes beyond sensory coding processing is initiated and the continuous attractor is destabilized into a set of discrete attractors | [['a', 'recent', 'experiment', 'suggests', 'that', 'neural', 'circuits', 'may', 'alternatively', 'implement', 'continuous', 'or', 'discrete', 'attractors', 'depending', 'on', 'the', 'training', 'set', 'up', 'in', 'recurrent', 'neural', 'network', 'models', 'continuous', 'and', 'discrete', 'attractors', 'are', 'separately', 'modeled', 'by', 'distinct', 'forms', 'of', 'synaptic', 'prescriptions', 'learning', 'rules', 'here', 'we', 'report', 'a', 'solvable', 'network', 'model', 'endowed', 'with', 'hebbian', 'synaptic', 'plasticity', 'which', 'is', 'able', 'to', 'learn', 'either', 'discrete', 'or', 'continuous', 'attractors', 'depending', 'on', 'the', 'frequency', 'of', 'presentation', 'of', 'stimuli', 'and', 'on', 'the', 'structure', 'of', 'sensory', 'coding', 'a', 'continuous', 'attractor', 'is', 'learned', 'when', 'experience', 'matches', 'sensory', 'coding', 'ie', 'when', 'the', 'distribution', 'of', 'experienced', 'stimuli', 'matches', 'the', 'distribution', 'of', 'preferred', 'stimuli', 'of', 'neurons', 'in', 'that', 'case', 'there', 'is', 'no', 'processing', 'of', 'sensory', 'information', 'and', 'neural', 'activity', 'displays', 'maximal', 'entropy', 'if', 'experience', 'goes', 'beyond', 'sensory', 'coding', 'processing', 'is', 'initiated', 'and', 'the', 'continuous', 'attractor', 'is', 'destabilized', 'into', 'a', 'set', 'of', 'discrete', 'attractors']] | [-0.12754526354452903, 0.16440780419461, -0.08178314199443344, 0.046642210626834, -0.09444897013495294, -0.2319993647351432, 0.08863206822827137, 0.4255524910316407, -0.295517562982365, -0.21174757829163787, 0.08466264229475541, -0.24508759072184455, -0.28019749922275866, 0.14975714269295173, -0.13794823849436377, 0.057817807320585786, 0.05295054877441537, 0.1163279047711558, -0.010636025252450498, -0.22283408805399652, 0.28968933713789896, 0.0030273146434894784, 0.29330278613115496, -0.07930653161040956, 0.17383321179680045, -0.06694794841539517, -0.055795951230491664, -0.04905433129525924, -0.04189229325490598, 0.1036907501812696, 0.2504792328878767, 0.19862432388015921, 0.31104910119249074, -0.4993666354298806, -0.2912197913003, 0.15233395873609154, 0.12535475613381847, 0.07298241791117722, -0.008445017782656355, -0.30019906929546714, 0.07022578362375498, -0.14194224519393803, -0.009847450848977021, -0.10241972229262586, 0.051396660989137005, 0.06001012396777598, -0.31208407417108913, 0.050296455886375775, 0.1236289034902433, 0.10487326715867978, -0.12390429518862273, -0.004271485460855121, -0.0801780909574557, 0.14206966030346097, 0.018149052365103457, 0.08752273160063079, 0.2097195098779613, -0.15325128044782327, -0.16973644473234847, 0.29923409949854124, -0.028838278362259485, -0.2147458224095029, 0.21221589808948607, -0.08310676196576666, -0.14930700514090361, 0.1145634182155963, 0.2009316188712075, 0.018780603817255378, -0.12985614564654202, 0.049768148269839316, -0.012051860848776729, 0.2401632035968544, 0.1023061567332877, 0.02684249835701914, 0.19307896009103642, 0.2317297491043967, 0.036692198017518295, 0.159155160563884, -0.024018642939828177, -0.13932902558217589, -0.2558562552033783, -0.0037071527444201406, -0.20328208438971704, 0.06915229006181303, -0.12090145314586342, -0.1759155017518306, 0.40804878103700903, 0.0866250522952299, 0.21972090574404352, 0.11927521094535778, 0.2502614140791966, 0.07839884952890767, 0.09047467354015051, 0.09680220847882384, 0.15597447230172404, 0.09458397162187067, 0.11733301900823018, -0.18211299530732974, 0.12986915699363746, 0.05183583977125525] |
707.3512 | A Curious Geometrical Fact About Entanglement | I sketch how the set of pure quantum states forms a phase space, and then
point out a curiousity concerning maximally entangled pure states: they form a
minimal Lagrangian submanifold of the set of all pure states. I suggest that
this curiousity should have an interesting physical interpretation.
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707.3513 | Pauli-Spin-Blockade Transport through a Silicon Double Quantum Dot | We present measurements of resonant tunneling through discrete energy levels
of a silicon double quantum dot formed in a thin silicon-on-insulator layer. In
the absence of piezoelectric phonon coupling, spontaneous phonon emission with
deformation-potential coupling accounts for inelastic tunneling through the
ground states of the two dots. Such transport measurements enable us to observe
a Pauli spin blockade due to effective two-electron spin-triplet correlations,
evident in a distinct bias-polarity dependence of resonant tunneling through
the ground states. The blockade is lifted by the excited-state resonance by
virtue of efficient phonon emission between the ground states. Our experiment
demonstrates considerable potential for investigating silicon-based spin
dynamics and spin-based quantum information processing.
| cond-mat.mes-hall | we present measurements of resonant tunneling through discrete energy levels of a silicon double quantum dot formed in a thin silicononinsulator layer in the absence of piezoelectric phonon coupling spontaneous phonon emission with deformationpotential coupling accounts for inelastic tunneling through the ground states of the two dots such transport measurements enable us to observe a pauli spin blockade due to effective twoelectron spintriplet correlations evident in a distinct biaspolarity dependence of resonant tunneling through the ground states the blockade is lifted by the excitedstate resonance by virtue of efficient phonon emission between the ground states our experiment demonstrates considerable potential for investigating siliconbased spin dynamics and spinbased quantum information processing | [['we', 'present', 'measurements', 'of', 'resonant', 'tunneling', 'through', 'discrete', 'energy', 'levels', 'of', 'a', 'silicon', 'double', 'quantum', 'dot', 'formed', 'in', 'a', 'thin', 'silicononinsulator', 'layer', 'in', 'the', 'absence', 'of', 'piezoelectric', 'phonon', 'coupling', 'spontaneous', 'phonon', 'emission', 'with', 'deformationpotential', 'coupling', 'accounts', 'for', 'inelastic', 'tunneling', 'through', 'the', 'ground', 'states', 'of', 'the', 'two', 'dots', 'such', 'transport', 'measurements', 'enable', 'us', 'to', 'observe', 'a', 'pauli', 'spin', 'blockade', 'due', 'to', 'effective', 'twoelectron', 'spintriplet', 'correlations', 'evident', 'in', 'a', 'distinct', 'biaspolarity', 'dependence', 'of', 'resonant', 'tunneling', 'through', 'the', 'ground', 'states', 'the', 'blockade', 'is', 'lifted', 'by', 'the', 'excitedstate', 'resonance', 'by', 'virtue', 'of', 'efficient', 'phonon', 'emission', 'between', 'the', 'ground', 'states', 'our', 'experiment', 'demonstrates', 'considerable', 'potential', 'for', 'investigating', 'siliconbased', 'spin', 'dynamics', 'and', 'spinbased', 'quantum', 'information', 'processing']] | [-0.19025766980244752, 0.2231055535974169, -0.020287233631237658, 0.036802810545233204, -0.0005798343517774835, -0.1935479999049951, 0.09619888788465103, 0.3886966366970211, -0.25521467959320326, -0.2762777544728933, -0.07232530590962755, -0.33385280598330935, -0.08712410872135687, 0.1997058870048698, 0.09780025345897046, 0.05176678386627944, 0.06297141803138026, -0.08057594817097581, -0.034892440408280274, -0.09872178167719907, 0.2875864349237276, 0.01694302615675426, 0.3357731221380447, 0.16031319408147776, 0.10452543701891095, 0.08145780234871039, 0.14111801108277036, -0.06866886385571246, -0.10697436866344064, 0.10518150099973972, 0.2875967945459239, -0.09193230589954268, 0.21872686614376416, -0.5054386500269175, -0.19821016867687807, 0.010410234682398652, 0.17224593230612883, 0.21260446250447235, -0.09602939286226526, -0.34738791211072456, -0.04404892296521762, -0.16434627965331897, -0.06843673248899194, -0.1081716061031463, -0.025705570128635256, -0.046979888822934635, -0.24039568654485816, 0.11022009703393709, 0.023720287715742756, 0.04496972408965914, -0.03619363063886557, -0.04864872682737101, -0.054294205490721885, 0.059856828977140265, -0.026926160153480025, -0.043077554888040714, 0.22121213665744716, -0.09663493079539183, -0.19117313061644314, 0.3032129145923729, -0.09102175862596738, -0.0885510052118553, 0.13736211314558164, -0.19133803328507742, -0.0392795237883447, 0.18036509867449965, 0.07100418370661385, 0.07295954315026008, -0.16163914554342285, 0.06843813315168484, 0.054770269508072, 0.15622682274915192, 0.04784254616963754, 0.1820279070135599, 0.25985608630121576, 0.18734236754938413, 0.027550374294434667, 0.16105511291550662, -0.18180860676952218, -0.105812269000234, -0.24614602682787343, -0.17036956921647037, -0.2363982278610144, 0.14448878680005534, -0.029228992584890926, -0.15150550465364385, 0.4176605850919534, 0.11598534823113352, 0.16371282326792358, -0.09559748296993315, 0.28990650556366376, 0.1457868304494512, 0.10704478880800648, -0.018241309880176474, 0.3118779068607666, 0.2467924389526795, 0.046177552135179566, -0.40020125780314414, 0.030913738211309282, -0.07241327923064658] |
707.3514 | Theory of Star Formation | We review current understanding of star formation, outlining an overall
theoretical framework and the observations that motivate it. A conception of
star formation has emerged in which turbulence plays a dual role, both creating
overdensities to initiate gravitational contraction or collapse, and countering
the effects of gravity in these overdense regions. The key dynamical processes
involved in star formation -- turbulence, magnetic fields, and self-gravity --
are highly nonlinear and multidimensional. Physical arguments are used to
identify and explain the features and scalings involved in star formation, and
results from numerical simulations are used to quantify these effects. We
divide star formation into large-scale and small-scale regimes and review each
in turn. Large scales range from galaxies to giant molecular clouds (GMCs) and
their substructures. Important problems include how GMCs form and evolve, what
determines the star formation rate (SFR), and what determines the initial mass
function (IMF). Small scales range from dense cores to the protostellar systems
they beget. We discuss formation of both low- and high-mass stars, including
ongoing accretion. The development of winds and outflows is increasingly well
understood, as are the mechanisms governing angular momentum transport in
disks. Although outstanding questions remain, the framework is now in place to
build a comprehensive theory of star formation that will be tested by the next
generation of telescopes.
| astro-ph | we review current understanding of star formation outlining an overall theoretical framework and the observations that motivate it a conception of star formation has emerged in which turbulence plays a dual role both creating overdensities to initiate gravitational contraction or collapse and countering the effects of gravity in these overdense regions the key dynamical processes involved in star formation turbulence magnetic fields and selfgravity are highly nonlinear and multidimensional physical arguments are used to identify and explain the features and scalings involved in star formation and results from numerical simulations are used to quantify these effects we divide star formation into largescale and smallscale regimes and review each in turn large scales range from galaxies to giant molecular clouds gmcs and their substructures important problems include how gmcs form and evolve what determines the star formation rate sfr and what determines the initial mass function imf small scales range from dense cores to the protostellar systems they beget we discuss formation of both low and highmass stars including ongoing accretion the development of winds and outflows is increasingly well understood as are the mechanisms governing angular momentum transport in disks although outstanding questions remain the framework is now in place to build a comprehensive theory of star formation that will be tested by the next generation of telescopes | [['we', 'review', 'current', 'understanding', 'of', 'star', 'formation', 'outlining', 'an', 'overall', 'theoretical', 'framework', 'and', 'the', 'observations', 'that', 'motivate', 'it', 'a', 'conception', 'of', 'star', 'formation', 'has', 'emerged', 'in', 'which', 'turbulence', 'plays', 'a', 'dual', 'role', 'both', 'creating', 'overdensities', 'to', 'initiate', 'gravitational', 'contraction', 'or', 'collapse', 'and', 'countering', 'the', 'effects', 'of', 'gravity', 'in', 'these', 'overdense', 'regions', 'the', 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707.3515 | Charged Rotating Black Branes in Various Dimensions | In this thesis, two different aspects of asymptotically charged rotating
black branes in various dimensions are studied. In the first part, the
thermodynamics of these spacetimes is investigated, while in the second part
the no hair theorem for these spacetimes in four dimensions is considered. In
part I, first, the Euclidean actions of a d-dimensional charged rotating black
brane are computed through the use of the counterterms renormalization method
both in the canonical and the grand-canonical ensemble, and it is shown that
the logarithmic divergencies associated to the Weyl anomalies and matter field
vanish. Second, a Smarr-type formula for the mass as a function of the entropy,
the angular momenta and the electric charge is obtained, which shows that these
quantities satisfy the first law of thermodynamics. Third, by using the
conserved quantities and the Euclidean actions, the thermodynamics potentials
of the system in terms of the temperature, the angular velocities and the
electric potential are obtained both in the canonical and the grand-canonical
ensemble. Fourth, a stability analysis in these two ensembles is performed,
which shows that the system is thermally stable. This is in commensurable with
the fact that there is no Hawking-Page phase transition for black object with
zero curvature horizon. Finally, the logarithmic correction of the entropy due
to the thermal fluctuation around the equilibrium is calculated. In part II,
the cosmological defects are studied, and it is shown that the Abelian Higgs
field equations in the background of a four-dimensional rotating charged black
string have vortex solutions.
| hep-th | in this thesis two different aspects of asymptotically charged rotating black branes in various dimensions are studied in the first part the thermodynamics of these spacetimes is investigated while in the second part the no hair theorem for these spacetimes in four dimensions is considered in part i first the euclidean actions of a ddimensional charged rotating black brane are computed through the use of the counterterms renormalization method both in the canonical and the grandcanonical ensemble and it is shown that the logarithmic divergencies associated to the weyl anomalies and matter field vanish second a smarrtype formula for the mass as a function of the entropy the angular momenta and the electric charge is obtained which shows that these quantities satisfy the first law of thermodynamics third by using the conserved quantities and the euclidean actions the thermodynamics potentials of the system in terms of the temperature the angular velocities and the electric potential are obtained both in the canonical and the grandcanonical ensemble fourth a stability analysis in these two ensembles is performed which shows that the system is thermally stable this is in commensurable with the fact that there is no hawkingpage phase transition for black object with zero curvature horizon finally the logarithmic correction of the entropy due to the thermal fluctuation around the equilibrium is calculated in part ii the cosmological defects are studied and it is shown that the abelian higgs field equations in the background of a fourdimensional rotating charged black string have vortex solutions | [['in', 'this', 'thesis', 'two', 'different', 'aspects', 'of', 'asymptotically', 'charged', 'rotating', 'black', 'branes', 'in', 'various', 'dimensions', 'are', 'studied', 'in', 'the', 'first', 'part', 'the', 'thermodynamics', 'of', 'these', 'spacetimes', 'is', 'investigated', 'while', 'in', 'the', 'second', 'part', 'the', 'no', 'hair', 'theorem', 'for', 'these', 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707.3516 | Jet Properties and Evolution in Small and Intermediate Scale Objects | Kinematic and spectral studies are improving our knowledge of the age
distribution in compact radio sources, providing evidence that small sources
are generally very young. The properties of jets in objects spanning the size
range from a few tens of parsecs to some kiloparsecs become then of particular
interest. Because of our selection criteria and of the small scales involved,
the properties of jets in the population of Compact Symmetric Objects (CSO) are
not well known yet. Polarization properties seem to indicate a strong influence
by the interaction with the dense surrounding medium, and some objects show
evidence of relativistic bulk motion. More evolved jets are present in the
class of Low Power Compact (LPC) sources and a number of cases are discussed
here. Since it is becoming increasingly clear that not all these sources will
survive to evolve into large scale radio galaxies, the question of the final
evolution of the CSO and LPC population is also discussed, with examples of
candidate dying sources.
| astro-ph | kinematic and spectral studies are improving our knowledge of the age distribution in compact radio sources providing evidence that small sources are generally very young the properties of jets in objects spanning the size range from a few tens of parsecs to some kiloparsecs become then of particular interest because of our selection criteria and of the small scales involved the properties of jets in the population of compact symmetric objects cso are not well known yet polarization properties seem to indicate a strong influence by the interaction with the dense surrounding medium and some objects show evidence of relativistic bulk motion more evolved jets are present in the class of low power compact lpc sources and a number of cases are discussed here since it is becoming increasingly clear that not all these sources will survive to evolve into large scale radio galaxies the question of the final evolution of the cso and lpc population is also discussed with examples of candidate dying sources | [['kinematic', 'and', 'spectral', 'studies', 'are', 'improving', 'our', 'knowledge', 'of', 'the', 'age', 'distribution', 'in', 'compact', 'radio', 'sources', 'providing', 'evidence', 'that', 'small', 'sources', 'are', 'generally', 'very', 'young', 'the', 'properties', 'of', 'jets', 'in', 'objects', 'spanning', 'the', 'size', 'range', 'from', 'a', 'few', 'tens', 'of', 'parsecs', 'to', 'some', 'kiloparsecs', 'become', 'then', 'of', 'particular', 'interest', 'because', 'of', 'our', 'selection', 'criteria', 'and', 'of', 'the', 'small', 'scales', 'involved', 'the', 'properties', 'of', 'jets', 'in', 'the', 'population', 'of', 'compact', 'symmetric', 'objects', 'cso', 'are', 'not', 'well', 'known', 'yet', 'polarization', 'properties', 'seem', 'to', 'indicate', 'a', 'strong', 'influence', 'by', 'the', 'interaction', 'with', 'the', 'dense', 'surrounding', 'medium', 'and', 'some', 'objects', 'show', 'evidence', 'of', 'relativistic', 'bulk', 'motion', 'more', 'evolved', 'jets', 'are', 'present', 'in', 'the', 'class', 'of', 'low', 'power', 'compact', 'lpc', 'sources', 'and', 'a', 'number', 'of', 'cases', 'are', 'discussed', 'here', 'since', 'it', 'is', 'becoming', 'increasingly', 'clear', 'that', 'not', 'all', 'these', 'sources', 'will', 'survive', 'to', 'evolve', 'into', 'large', 'scale', 'radio', 'galaxies', 'the', 'question', 'of', 'the', 'final', 'evolution', 'of', 'the', 'cso', 'and', 'lpc', 'population', 'is', 'also', 'discussed', 'with', 'examples', 'of', 'candidate', 'dying', 'sources']] | [-0.08778736753826678, 0.1411452268109177, -0.05005274965060931, 0.10529273786356277, -0.11114692820490084, -0.06910291334021498, 0.016349316245848032, 0.4306689866225828, -0.2024884845043716, -0.3436579889815414, 0.12442279201791143, -0.2636036837925062, -0.060644177106124436, 0.23091902173491138, -0.01808512217204693, -0.02670957092195749, 0.06955784822701279, -0.020146116821772673, -0.01482354261785407, -0.21600918520778192, 0.3402620064362771, 0.07568174581269198, 0.20064515830158736, 0.015581374722674037, 0.06844570052697126, -0.10441965041117686, -0.09129552274490847, 0.035273085539588606, -0.04786888334774906, 0.08553525816479868, 0.25785250910451973, 0.14211682818378463, 0.2574084629115091, -0.376910516258442, -0.24099898004735057, 0.08868254593672287, 0.1583455176149128, 0.08397631287348993, -0.09423530259016182, -0.27470157720628335, 0.11501739286450725, -0.17335860588972343, -0.167264906263374, -0.008997607781467113, 0.07541746481526361, 0.0752916841598397, -0.1922335779661256, 0.09014914183238888, 0.05308841095009649, 0.03695417886995005, -0.07467923636308335, -0.12834835457192226, -0.034786841384784294, 0.15364822615502458, 0.0520756736736406, 0.004382345932676937, 0.1589306760240685, -0.176265421632508, -0.07164885068142957, 0.4090418127675851, 0.017578401055299876, -0.11719462640131965, 0.2831627922189055, -0.22341486222364687, -0.19645556473370754, 0.15554972765120592, 0.191144380925195, 0.16026776789433578, -0.15501386435053338, -0.005276889023970756, -0.03918360232968222, 0.17850590262237484, 0.016030294428381955, 0.15655716124103602, 0.268277075999614, 0.15483030738506579, 0.033673072715684996, 0.12553619285480994, -0.13499654441168815, -0.07618865632931843, -0.28407251992912, -0.08316358708296762, -0.151771929018397, 0.0681859357838138, -0.10016727426863685, -0.1497370696326746, 0.3558729930780828, 0.11064986512003198, 0.20767559756835302, 0.03921927219736531, 0.2640461522916501, 0.03839603351309162, 0.10052234950018112, 0.13591815177351235, 0.2761680737776315, 0.14430140604152147, 0.05988689024340023, -0.1472541771081248, 0.05788779659337844, -0.04262955946509134] |
707.3517 | On dilatation operator for a renormalizable theory | Given a renormalizable theory we construct the dilatation operator, in the
sense of generator of RG flow of composite operators. The generator is found as
a differential operator acting on the space of normal symbols of composite
operators in the theory. In the spirit of AdS/CFT correspondence, this operator
is interpreted as the Hamiltonian of the dual theory. In the case of a field
theory with non-abelian gauge symmetry the resulting system is a matrix model.
The one-loop case is analyzed in details and it is shown that we reproduce
known results from N=4 supersymmetric Yang-Mills theory.
| hep-th | given a renormalizable theory we construct the dilatation operator in the sense of generator of rg flow of composite operators the generator is found as a differential operator acting on the space of normal symbols of composite operators in the theory in the spirit of adscft correspondence this operator is interpreted as the hamiltonian of the dual theory in the case of a field theory with nonabelian gauge symmetry the resulting system is a matrix model the oneloop case is analyzed in details and it is shown that we reproduce known results from n4 supersymmetric yangmills theory | [['given', 'a', 'renormalizable', 'theory', 'we', 'construct', 'the', 'dilatation', 'operator', 'in', 'the', 'sense', 'of', 'generator', 'of', 'rg', 'flow', 'of', 'composite', 'operators', 'the', 'generator', 'is', 'found', 'as', 'a', 'differential', 'operator', 'acting', 'on', 'the', 'space', 'of', 'normal', 'symbols', 'of', 'composite', 'operators', 'in', 'the', 'theory', 'in', 'the', 'spirit', 'of', 'adscft', 'correspondence', 'this', 'operator', 'is', 'interpreted', 'as', 'the', 'hamiltonian', 'of', 'the', 'dual', 'theory', 'in', 'the', 'case', 'of', 'a', 'field', 'theory', 'with', 'nonabelian', 'gauge', 'symmetry', 'the', 'resulting', 'system', 'is', 'a', 'matrix', 'model', 'the', 'oneloop', 'case', 'is', 'analyzed', 'in', 'details', 'and', 'it', 'is', 'shown', 'that', 'we', 'reproduce', 'known', 'results', 'from', 'n4', 'supersymmetric', 'yangmills', 'theory']] | [-0.12415158233158867, 0.14115971029668892, -0.09356959670609266, 0.10948153591436363, -0.02773654693737626, -0.09562032194700111, -0.05353293152281189, 0.2932699592496009, -0.22771584880106227, -0.21912599691026605, 0.08857088209701146, -0.2969063811253795, -0.24014444851783673, 0.12427137820674203, -0.07009443273940652, 0.04860906759949075, 0.015164024206166415, 0.13286621656182424, -0.12327368922301174, -0.21158219196536032, 0.33507073258251413, 0.008359407602818971, 0.25198495206567123, 0.037342249588637626, 0.11421709632520209, 0.029856351273825642, -0.02327788863739133, -0.0037698637572304372, -0.06760653002061894, 0.12356547145989061, 0.22910666709871405, 0.06731118048186001, 0.15695695645300692, -0.4193297360265224, -0.21370463544675677, 0.06873405297627654, 0.11029543160201655, 0.11135104358119448, -0.02106232660433719, -0.2611597263273428, 0.06918931513371848, -0.2043835435869153, -0.1854609306769676, -0.04647210800837841, -0.01452614573315362, -0.09848991474987509, -0.30891178813330905, 0.06078276600323848, 0.03587983877004422, 0.05829655133264581, -0.04497181022174887, -0.02117964924077897, -0.09844040735528718, 0.06934616650387491, 0.08330344696428396, 0.0641619059900494, 0.1091355179726343, -0.16146858614274137, -0.13096334918800587, 0.38150820462513213, -0.10210545058602218, -0.23544446711150027, 0.11446117272734949, -0.1509920503924956, -0.13840950374040253, 0.03911392457936842, 0.11467016975577805, 0.18891124635185932, -0.13187783099134864, 0.26518569708040907, -0.11778401310757264, 0.12207326251706205, 0.022436165414059284, 0.02841892839918278, 0.1296658080032806, 0.11415842607780599, 0.06780299600021741, 0.15253684797669886, 0.04675938510431994, -0.15817649555920632, -0.4421382309081628, -0.1409733989314997, -0.17490329566536492, 0.06500056076833267, -0.08443901612715599, -0.20061857093362012, 0.4060047961310628, 0.12026996425468206, 0.1741177022898781, 0.03807009561659442, 0.20237183234817588, 0.20759283977119042, 0.10588722891107048, 0.03323899826380549, 0.22152374329563884, 0.23942025250649637, 0.08310128650964074, -0.24410323867065467, -0.07660191109615196, 0.2391658759167053] |
707.3518 | On the abundance discrepancy problem in HII regions | The origin of the abundance discrepancy is one of the key problems in the
physics of photoionized nebula. In this work, we analize and discuss data for a
sample of Galactic and extragalactic HII regions where this abundance
discrepancy has been determined. We find that the abundance discrepancy factor
(ADF) is fairly constant and of the order of 2 in all the available sample of
HII regions. This is a rather different behaviour than that observed in
planetary nebulae, where the ADF shows a much wider range of values. We do not
find correlations between the ADF and the O/H, O++/H+ ratios, the ionization
degree, Te(High), Te(Low)/ Te(High), FWHM, and the effective temperature of the
main ionizing stars within the observational uncertainties. These results
indicate that whatever mechanism is producing the abundance discrepancy in HII
regions it does not substantially depend on those nebular parameters. On the
contrary, the ADF seems to be slightly dependent on the excitation energy, a
fact that is consistent with the predictions of the classical temperature
fluctuations paradigm. Finally, we obtain that Te values obtained from OII
recombination lines in HII regions are in agreement with those obtained from
collisionally excited line ratios, a behaviour that is again different from
that observed in planetary nebulae. These similar temperature determinations
are in contradiction with the predictions of the model based on the presence of
chemically inhomogeneous clumps but are consistent with the temperature
fluctuations paradigm. We conclude that all the indications suggest that the
physical mechanism responsible of the abundance discrepancy in HII regions and
planetary nebulae are different.
| astro-ph | the origin of the abundance discrepancy is one of the key problems in the physics of photoionized nebula in this work we analize and discuss data for a sample of galactic and extragalactic hii regions where this abundance discrepancy has been determined we find that the abundance discrepancy factor adf is fairly constant and of the order of 2 in all the available sample of hii regions this is a rather different behaviour than that observed in planetary nebulae where the adf shows a much wider range of values we do not find correlations between the adf and the oh oh ratios the ionization degree tehigh telow tehigh fwhm and the effective temperature of the main ionizing stars within the observational uncertainties these results indicate that whatever mechanism is producing the abundance discrepancy in hii regions it does not substantially depend on those nebular parameters on the contrary the adf seems to be slightly dependent on the excitation energy a fact that is consistent with the predictions of the classical temperature fluctuations paradigm finally we obtain that te values obtained from oii recombination lines in hii regions are in agreement with those obtained from collisionally excited line ratios a behaviour that is again different from that observed in planetary nebulae these similar temperature determinations are in contradiction with the predictions of the model based on the presence of chemically inhomogeneous clumps but are consistent with the temperature fluctuations paradigm we conclude that all the indications suggest that the physical mechanism responsible of the abundance discrepancy in hii regions and planetary nebulae are different | [['the', 'origin', 'of', 'the', 'abundance', 'discrepancy', 'is', 'one', 'of', 'the', 'key', 'problems', 'in', 'the', 'physics', 'of', 'photoionized', 'nebula', 'in', 'this', 'work', 'we', 'analize', 'and', 'discuss', 'data', 'for', 'a', 'sample', 'of', 'galactic', 'and', 'extragalactic', 'hii', 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'suggest', 'that', 'the', 'physical', 'mechanism', 'responsible', 'of', 'the', 'abundance', 'discrepancy', 'in', 'hii', 'regions', 'and', 'planetary', 'nebulae', 'are', 'different']] | [-0.05076006995245384, 0.12207255233258296, -0.05242998541798442, 0.08824872107630094, -0.038596375691794, -0.05802203375631227, 0.04732115906305038, 0.4109857913894722, -0.16157002611479793, -0.3384667030652054, 0.011275043099885806, -0.2762415819129763, -0.0396961653434958, 0.1888911391389019, -0.030348674293894033, -0.04694724409749212, 0.043701684357634246, -0.05353654367992511, -0.02886668018853435, -0.22555228459935348, 0.3366128017087109, 0.06646261399728245, 0.2170036560678944, 0.03992560051847249, -0.007508674023511748, -0.16801875015058054, -0.04089095953386277, 0.028726397681748495, -0.16203160662634428, 0.0939016677851144, 0.2383229093769422, 0.12498543821152103, 0.18323836233825064, -0.3609895104038095, -0.2284516912888928, 0.09250546681891697, 0.20108948250014622, 0.08794373004124141, 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707.3519 | Generalized Einstein-Aether theories and the Solar System | It has been shown that generalized Einstein-Aether theories may lead to
significant modifications to the non-relativistic limit of the Einstein
equations. In this paper we study the effect of a general class of such
theories on the Solar System. We consider corrections to the gravitational
potential in negative and positive powers of distance from the source. Using
measurements of the perihelion shift of Mercury and time delay of radar signals
to Cassini, we place constraints on these corrections. We find that a subclass
of generalized Einstein-Aether theories are compatible with these constraints.
| astro-ph | it has been shown that generalized einsteinaether theories may lead to significant modifications to the nonrelativistic limit of the einstein equations in this paper we study the effect of a general class of such theories on the solar system we consider corrections to the gravitational potential in negative and positive powers of distance from the source using measurements of the perihelion shift of mercury and time delay of radar signals to cassini we place constraints on these corrections we find that a subclass of generalized einsteinaether theories are compatible with these constraints | [['it', 'has', 'been', 'shown', 'that', 'generalized', 'einsteinaether', 'theories', 'may', 'lead', 'to', 'significant', 'modifications', 'to', 'the', 'nonrelativistic', 'limit', 'of', 'the', 'einstein', 'equations', 'in', 'this', 'paper', 'we', 'study', 'the', 'effect', 'of', 'a', 'general', 'class', 'of', 'such', 'theories', 'on', 'the', 'solar', 'system', 'we', 'consider', 'corrections', 'to', 'the', 'gravitational', 'potential', 'in', 'negative', 'and', 'positive', 'powers', 'of', 'distance', 'from', 'the', 'source', 'using', 'measurements', 'of', 'the', 'perihelion', 'shift', 'of', 'mercury', 'and', 'time', 'delay', 'of', 'radar', 'signals', 'to', 'cassini', 'we', 'place', 'constraints', 'on', 'these', 'corrections', 'we', 'find', 'that', 'a', 'subclass', 'of', 'generalized', 'einsteinaether', 'theories', 'are', 'compatible', 'with', 'these', 'constraints']] | [-0.15294502989221972, 0.10038236205709046, -0.0789330585368747, 0.07096377926696416, -0.09244681611333204, -0.10108031859904852, 0.0032468386989026126, 0.3113943582537341, -0.22393294862653737, -0.29776654965446697, 0.07882810571818086, -0.2969176419200781, -0.17732081037905553, 0.21426312372331385, -0.07648794142448384, 0.0623199505245556, 0.03118025127838811, 0.06046062603380288, -0.1296649121011243, -0.2319112897207758, 0.34652598649668304, 0.07731586819990417, 0.17531692350040312, 0.06287394134509984, 0.10506765887586643, -0.05285269559269933, -0.008487553026972582, 0.07790920121402925, -0.1351368802600558, 0.08288060077061148, 0.18412644777234402, 0.12830967343483202, 0.19777212208946762, -0.45426330877387006, -0.2570485063403359, 0.1304172107231115, 0.07359912309228726, 0.14775215557007038, -0.04322998573163362, -0.2979661789494972, 0.05111155552130304, -0.21179590472931284, -0.12379005105923051, -0.02271566160387643, 0.042356550936465676, 0.007777965873095166, -0.25714066604395275, 0.05943500520610858, 0.03295710413089103, -0.008715029097283665, -0.11016593936137328, -0.0928466749483841, 0.029270519573322457, 0.0850062848817881, 0.11227896096027942, -0.00413510335847209, 0.07789744766753005, -0.09427341619131925, -0.11254818045468394, 0.44141176213388855, -0.1260004648711006, -0.17480833561200163, 0.1601705562080378, -0.1953975965279033, -0.18128860993918194, 0.07532514086114647, 0.21961494092829525, 0.13679287835712667, -0.1337786108943755, 0.12273172859947765, -0.006927917843036677, 0.13066133204847574, 0.09843463904689997, 0.0813827976039054, 0.25792004917140887, 0.06463366227082747, 0.03675765899748987, 0.10505947239858948, -0.09691271050225782, -0.1039145196352721, -0.331680147050065, -0.12097345458839656, -0.10589688413007103, 0.07794184011721011, -0.09312460932889498, -0.1397081144244547, 0.3573601467879084, 0.18053881718357012, 0.12033961224369705, 0.07864086593136839, 0.24608816925193305, 0.16099290161029153, 0.09567091095706691, 0.03369348532641712, 0.33745349682462605, 0.1379995224010402, 0.09538077963921039, -0.22239833717669724, 0.0023043535791499458, 0.050809338992542544] |
707.352 | Lyalpha heating and its impact on early structure formation | In this paper we have calculated the effect of Lyalpha photons emitted by the
first stars on the evolution of the IGM temperature. We have considered both a
standard Salpeter IMF and a delta-function IMF for very massive stars with mass
300 M_sun. We find that the Lyalpha photons produced by the stellar populations
considered here are able to heat the IGM at z<25, although never above ~100 K.
Stars with a Salpeter IMF are more effective as, due to the contribution from
small-mass long-living stars, they produce a higher Lyalpha background. Lyalpha
heating can affect the subsequent formation of small mass objects by producing
an entropy floor that may limit the amount of gas able to collapse and reduce
the gas clumping.We find that the gas fraction in halos of mass below ~ 5 x
10^6 M_sun is less than 50% (for the smallest masses this fraction drops to 1%
or less) compared to a case without Lyalpha heating. Finally, Lyalpha photons
heat the IGM temperature above the CMB temperature and render the 21cm line
from neutral hydrogen visible in emission at z<15.
| astro-ph | in this paper we have calculated the effect of lyalpha photons emitted by the first stars on the evolution of the igm temperature we have considered both a standard salpeter imf and a deltafunction imf for very massive stars with mass 300 m_sun we find that the lyalpha photons produced by the stellar populations considered here are able to heat the igm at z25 although never above 100 k stars with a salpeter imf are more effective as due to the contribution from smallmass longliving stars they produce a higher lyalpha background lyalpha heating can affect the subsequent formation of small mass objects by producing an entropy floor that may limit the amount of gas able to collapse and reduce the gas clumpingwe find that the gas fraction in halos of mass below 5 x 106 m_sun is less than 50 for the smallest masses this fraction drops to 1 or less compared to a case without lyalpha heating finally lyalpha photons heat the igm temperature above the cmb temperature and render the 21cm line from neutral hydrogen visible in emission at z15 | [['in', 'this', 'paper', 'we', 'have', 'calculated', 'the', 'effect', 'of', 'lyalpha', 'photons', 'emitted', 'by', 'the', 'first', 'stars', 'on', 'the', 'evolution', 'of', 'the', 'igm', 'temperature', 'we', 'have', 'considered', 'both', 'a', 'standard', 'salpeter', 'imf', 'and', 'a', 'deltafunction', 'imf', 'for', 'very', 'massive', 'stars', 'with', 'mass', '300', 'm_sun', 'we', 'find', 'that', 'the', 'lyalpha', 'photons', 'produced', 'by', 'the', 'stellar', 'populations', 'considered', 'here', 'are', 'able', 'to', 'heat', 'the', 'igm', 'at', 'z25', 'although', 'never', 'above', '100', 'k', 'stars', 'with', 'a', 'salpeter', 'imf', 'are', 'more', 'effective', 'as', 'due', 'to', 'the', 'contribution', 'from', 'smallmass', 'longliving', 'stars', 'they', 'produce', 'a', 'higher', 'lyalpha', 'background', 'lyalpha', 'heating', 'can', 'affect', 'the', 'subsequent', 'formation', 'of', 'small', 'mass', 'objects', 'by', 'producing', 'an', 'entropy', 'floor', 'that', 'may', 'limit', 'the', 'amount', 'of', 'gas', 'able', 'to', 'collapse', 'and', 'reduce', 'the', 'gas', 'clumpingwe', 'find', 'that', 'the', 'gas', 'fraction', 'in', 'halos', 'of', 'mass', 'below', '5', 'x', '106', 'm_sun', 'is', 'less', 'than', '50', 'for', 'the', 'smallest', 'masses', 'this', 'fraction', 'drops', 'to', '1', 'or', 'less', 'compared', 'to', 'a', 'case', 'without', 'lyalpha', 'heating', 'finally', 'lyalpha', 'photons', 'heat', 'the', 'igm', 'temperature', 'above', 'the', 'cmb', 'temperature', 'and', 'render', 'the', '21cm', 'line', 'from', 'neutral', 'hydrogen', 'visible', 'in', 'emission', 'at', 'z15']] | [-0.020079039899788407, 0.21851103914625608, 0.012452911892598803, 0.12804721830304647, -0.04818763591190493, -0.05688953737646423, 0.07662724974056051, 0.4093603382787698, -0.11493097962095188, -0.352080734682034, -0.011459009790317165, -0.34604130264187416, 0.040939460161837984, 0.2080471128580969, 0.03203131090517023, -0.032333116146868894, 0.03096270822321198, -0.06804359140601214, -0.03633278190954026, -0.29622659420052155, 0.3313170105710134, 0.10294176618681176, 0.1432825260831473, 0.038392539329284416, 0.054090669112546105, -0.15057194187397976, -0.01889784396165511, -0.03758554501909312, -0.1389647871645658, -0.013793888773032269, 0.21042908711236094, 0.11397124423164424, 0.24372337041371553, -0.37033558971565833, -0.22628351797830765, 0.1281289029751321, 0.21727023378736085, 0.09183336896719513, -0.09857009466621414, -0.24572995882916296, 0.06832274526951242, -0.18238377825492624, -0.15232815541286063, 0.07656660836297445, 0.015906724956009415, -0.029592109258174078, -0.22314592530013186, 0.17369709188898305, 0.0031241035676730163, 0.025003009206477224, -0.05979805513893403, -0.094016377652284, -0.11546783560150109, 0.009909730899700342, 0.02074661376440877, 0.06046900938643695, 0.26050240143488806, -0.1749763557927908, 0.04828349463027585, 0.4170854376976962, -0.12214370475191902, -0.036513589619362095, 0.19331291238112108, -0.2351532257328342, -0.12514340889814135, 0.22869728628679045, 0.1668862459322714, 0.09265400507833724, -0.16048305764139353, -0.009874362874313022, -0.006368837132538249, 0.25693190857003045, 0.07303132337344052, 0.03978689199129304, 0.34488481747569866, 0.07801182908492142, 0.02412626013200689, 0.07708121632522606, -0.1672841536103758, 0.009813139469690294, -0.21397170484076244, -0.11356458409464212, -0.12055865103112799, 0.14831975562904787, -0.12089295761257085, -0.12455057838655353, 0.28578362373410016, 0.19067958473625457, 0.25418950252971806, 0.12315006566407917, 0.3342394732389149, 0.16395243007854743, 0.09623236121266958, 0.132082659968656, 0.31403880810446955, 0.20162944212059522, 0.11224262294190639, -0.24087297871701194, 0.05555234000772483, -0.03679874131953661] |
707.3521 | Proper holomorphic disks in the complement of varieties in \C^2 | For any closed analytic set X in C^2 there exists a proper holomorphic
embedding of the unit disk into C^2 such that the image avoids X.
| math.CV | for any closed analytic set x in c2 there exists a proper holomorphic embedding of the unit disk into c2 such that the image avoids x | [['for', 'any', 'closed', 'analytic', 'set', 'x', 'in', 'c2', 'there', 'exists', 'a', 'proper', 'holomorphic', 'embedding', 'of', 'the', 'unit', 'disk', 'into', 'c2', 'such', 'that', 'the', 'image', 'avoids', 'x']] | [-0.21751397840965253, -0.01219948696402403, -0.019972066430804822, 0.04523667377921251, -0.06000199982036765, -0.11871139158924612, 0.0695717898913874, 0.4604021448355455, -0.27812445915948886, -0.11297262875506511, 0.06579268293437333, -0.2544683040334628, -0.055325926693442926, 0.22808487964077637, -0.09783814591355622, 0.042345764831854746, 0.05764129329830981, 0.08443772993408717, -0.13648631408488235, -0.16421364126010582, 0.3795457035303116, -0.21875427158262867, 0.09423544419069703, 0.052313617538087644, 0.2252159403780332, -0.009155536321206735, 0.04799484366622682, 0.008687844750686334, -0.16865795181953358, 0.13772312712927276, 0.27789236254130417, 0.19765563853658163, 0.24639766074072283, -0.4106501992791891, -0.2556932052024282, 0.2255319906756855, 0.11887774179474665, -0.1078360200716326, -0.11228734741990383, -0.19618799429959977, 0.13199052662373736, -0.03171577777426977, -0.11391039065515193, -0.07817359515823998, 0.16388887238617128, -0.03671838440753233, -0.30695492086502224, -0.024162718596366737, 0.19584571133152798, 0.06252842496794003, -0.10427347083504383, -0.0810439562639938, -0.1399247750478725, 0.13207793628008893, -0.02663253376690241, 0.3280618868123453, 0.12268366141674611, -0.0517024860287515, 0.0010023804094928962, 0.382041357171077, -0.09261752371318065, -0.2995313656731294, 0.10246083190521368, -0.20745476629011905, -0.19479956936377746, 0.22279255693921676, 0.056666479947475284, 0.09789615235506342, -0.057013427337201744, 0.297081938586556, -0.1394337831924741, 0.15421115478070882, 0.10887486784933852, -0.033225964763774894, 0.2129887404779975, 0.08442680358600158, 0.11556950999567142, 0.10109402626179732, -0.06657425930293706, -0.012474606816585247, -0.4332904787017749, -0.22330651174371058, -0.1516469081218999, 0.20197667921176896, -0.17354033627690604, -0.24351336892980796, 0.3231474539408317, 0.017066529101262298, 0.2679679196041364, 0.018771834223746106, 0.28192992774823394, 0.055527832498438116, 0.08876571087883069, 0.12326672709045502, 0.06909626485923162, 0.0442435653665318, -0.0655969878515372, -0.09781258492372356, -0.017460395698435605, 0.1277563780044707] |
707.3522 | Supersymmetric noncommutative solitons | I consider a supersymmetric Bogomolny-type model in 2+1 dimensions
originating from topological string theory. By a gauge fixing this model is
reduced to a supersymmetric U(n) chiral model with a Wess-Zumino-Witten-type
term in 2+1 dimensions. After a noncommutative extension of the model, I employ
the dressing method to construct explicit multi-soliton configurations on
noncommutative R^{2,1|2N}.
| hep-th | i consider a supersymmetric bogomolnytype model in 21 dimensions originating from topological string theory by a gauge fixing this model is reduced to a supersymmetric un chiral model with a wesszuminowittentype term in 21 dimensions after a noncommutative extension of the model i employ the dressing method to construct explicit multisoliton configurations on noncommutative r212n | [['i', 'consider', 'a', 'supersymmetric', 'bogomolnytype', 'model', 'in', '21', 'dimensions', 'originating', 'from', 'topological', 'string', 'theory', 'by', 'a', 'gauge', 'fixing', 'this', 'model', 'is', 'reduced', 'to', 'a', 'supersymmetric', 'un', 'chiral', 'model', 'with', 'a', 'wesszuminowittentype', 'term', 'in', '21', 'dimensions', 'after', 'a', 'noncommutative', 'extension', 'of', 'the', 'model', 'i', 'employ', 'the', 'dressing', 'method', 'to', 'construct', 'explicit', 'multisoliton', 'configurations', 'on', 'noncommutative', 'r212n']] | [-0.08133753546927538, 0.1578257012836359, -0.06180363146295012, 0.076607471331954, -0.02424436635165303, -0.19674817358005653, -0.009130747016536555, 0.2769650590295593, -0.1604293567792478, -0.2584781210731577, 0.06347985928274553, -0.2632743283433633, -0.18942467505284757, 0.041993268834495986, -0.06111420102469209, -0.006095940653014825, -0.03602513429898493, 0.05035817507585442, -0.1333050125416506, -0.23105181012457857, 0.31396668534553435, -0.040222006746464305, 0.22254054100011234, -0.019684878177940845, 0.1214890072501644, 0.023749697160113742, -0.026912771251604514, -0.011956645762202915, -0.13889549807990315, 0.1328621545151152, 0.16379922731882995, 0.0374640976337509, 0.12334369255188869, -0.40065773516134534, -0.26593138594870214, 0.06611158954048599, 0.12839084068589188, 0.19968202520437814, -0.0003840666786008687, -0.30212273738450474, 0.04792235110869148, -0.2637529618417223, -0.19618224145853203, -0.043845098517421216, -0.0006947795153354053, -0.12680191798480572, -0.29278428122375366, 0.05539127773846741, 0.0002772310248541611, 0.06993157028962203, -0.044762253364617074, -0.026501196221000067, -0.043478107597264976, -0.020508700110777107, 0.054629290383740294, 0.08684833352971408, 0.0665089941273133, -0.15215068748134566, -0.19102921644311951, 0.40185965735603263, -0.1144488874339947, -0.2821369745975567, 0.11718304139665431, -0.05695071625868203, -0.2042650112071661, 0.112277593601633, 0.13619886856112215, 0.1427359119988978, -0.10745526529434654, 0.2797965059591526, -0.07676585746446142, 0.16932315727549227, 0.08738280774128658, -0.019967215049459978, 0.24168517735476294, 0.12537695681331334, 0.005316325823379749, 0.16101571820952273, -0.004502561706532206, -0.1661809857684636, -0.40756623936748065, -0.09963958234422737, -0.09679995387947808, 0.14615633409401332, -0.10749730805831927, -0.1769798582902661, 0.4116296658844308, 0.16932448746498535, 0.17543634529984384, 0.027724957921438746, 0.19582993135985885, 0.09575732916386591, 0.06708484405168781, -0.017160115060741426, 0.15782146259314483, 0.1524574210461988, 0.07762875626105126, -0.21139011974015307, -0.21223555711373962, 0.26794333414485055] |
707.3523 | From cluster to solid - the variational cluster approximation applied to
NiO | The variational cluster approximation is applied to the calculation of the
single particle spectral function of NiO. Trial self energies and the numerical
value of the Luttinger-Ward functional are obtained by exact diagonalization of
NiO6-clusters and the single particle parameters of the clusters serve as
variational parameters to obtain a stationary point of the grand potential of
the lattice system. Good agreement with experiment is obtained.
| cond-mat.str-el | the variational cluster approximation is applied to the calculation of the single particle spectral function of nio trial self energies and the numerical value of the luttingerward functional are obtained by exact diagonalization of nio6clusters and the single particle parameters of the clusters serve as variational parameters to obtain a stationary point of the grand potential of the lattice system good agreement with experiment is obtained | [['the', 'variational', 'cluster', 'approximation', 'is', 'applied', 'to', 'the', 'calculation', 'of', 'the', 'single', 'particle', 'spectral', 'function', 'of', 'nio', 'trial', 'self', 'energies', 'and', 'the', 'numerical', 'value', 'of', 'the', 'luttingerward', 'functional', 'are', 'obtained', 'by', 'exact', 'diagonalization', 'of', 'nio6clusters', 'and', 'the', 'single', 'particle', 'parameters', 'of', 'the', 'clusters', 'serve', 'as', 'variational', 'parameters', 'to', 'obtain', 'a', 'stationary', 'point', 'of', 'the', 'grand', 'potential', 'of', 'the', 'lattice', 'system', 'good', 'agreement', 'with', 'experiment', 'is', 'obtained']] | [-0.07476242267025204, 0.07062149502050419, -0.10687845515517089, 0.08565627902101439, 0.007121915087247124, -0.09414788265354358, 0.0955489277982941, 0.3453634412242816, -0.23408962642200865, -0.3392583648459269, 0.0350269705343705, -0.2697244407179264, -0.08336156039283826, 0.17545902606171485, 0.07870893167475095, 0.13522365547430057, 0.12605417764817292, 0.05750981758062083, -0.11974718410235186, -0.18755163908577882, 0.2852657263382123, 0.11987816859036685, 0.25655516835932546, 0.02213319788615291, 0.09555807767006066, 0.04990806161569288, 0.03783909366287005, 0.028414396182275734, -0.15949407290452375, 0.12883876581192732, 0.21640732328479106, 0.05791341074957297, 0.2506415555970027, -0.4155749339896899, -0.20798545959763803, 0.03632027647243096, 0.11398164109111979, 0.12755983053491665, -0.061072435874778494, -0.2771019674407748, 0.06640450413553761, -0.1583491079115237, -0.20981155881085076, -0.08789502011182217, -0.06335236971768049, 0.11190074299677061, -0.3296773211027567, 0.14936401222904142, -0.07512794721585053, 0.02016114079608367, -0.11168253640286051, -0.16834307994084577, -0.032642288309020495, 0.13787781969429208, 0.0568918567079191, 0.09521802135814841, 0.1583907996232693, -0.11496513424297938, -0.09032900131737384, 0.39571743588894603, -0.03853250520948607, -0.17832549701516445, 0.16306388285011053, -0.10646792758041276, -0.07376871013727326, 0.1262252203260477, 0.053044745874089694, 0.10878629170429821, -0.1729834716910353, 0.11036426285819079, -0.04724924915398543, 0.1602070273424033, 0.0032443969080654476, -0.017116855286496084, 0.15512188211656533, 0.15293018211825535, 0.04535239277264247, 0.150502984598279, -0.09937090307760697, -0.171023810798159, -0.3180619108562286, -0.12468192654554373, -0.2711752243626576, 0.01446386117917987, -0.13249818626746462, -0.2248127753344866, 0.41021670733506865, 0.08072257064139614, 0.18150449575713049, 0.05378866212872358, 0.21918693944238699, 0.2072920168373877, 0.025332113856879564, -0.02136832637569079, 0.25406449917130747, 0.1513829324609385, 0.055948748376865226, -0.26344076784041065, -0.024563836184545204, 0.11496816635346757] |
707.3524 | Voids in the Local Volume: a limit on appearance of a galaxy in a DM
halo | Current explanation of the overabundance of dark matter subhalos in the Local
Group (LG) indicates that there maybe a limit on mass of a halo, which can host
a galaxy. This idea can be tested using voids in the distribution of galaxies:
at some level small voids should not contain any (even dwarf) galaxies. We use
observational samples complete to M_B = -12 with distances less than 8 Mpc to
construct the void function (VF): the distribution of sizes of voids empty of
any galaxies. There are ~30 voids with sizes ranging from 1 to 5 Mpc. We then
study the distribution of dark matter halos in very high resolution simulations
of the LCDM model. The theoretical VF matches the observations remarkably well
only if we use halos with circular velocities larger than 45 +/- 10 km/s. This
agrees with the Local Group predictions. There are smaller halos in the voids,
but they should not produce any luminous matter. Small voids look quite similar
to their giant cousins: the density has a minimum at the center of a void and
it increases as we get closer to the border. Small nonluminous halos inside the
void form a web of tiny filaments. Thus, both the Local Group data and the
nearby voids indicate that isolated halos below 45 +/- 10 km/s must not host
galaxies and that small (few Mpc) voids are truly dark.
| astro-ph | current explanation of the overabundance of dark matter subhalos in the local group lg indicates that there maybe a limit on mass of a halo which can host a galaxy this idea can be tested using voids in the distribution of galaxies at some level small voids should not contain any even dwarf galaxies we use observational samples complete to m_b 12 with distances less than 8 mpc to construct the void function vf the distribution of sizes of voids empty of any galaxies there are 30 voids with sizes ranging from 1 to 5 mpc we then study the distribution of dark matter halos in very high resolution simulations of the lcdm model the theoretical vf matches the observations remarkably well only if we use halos with circular velocities larger than 45 10 kms this agrees with the local group predictions there are smaller halos in the voids but they should not produce any luminous matter small voids look quite similar to their giant cousins the density has a minimum at the center of a void and it increases as we get closer to the border small nonluminous halos inside the void form a web of tiny filaments thus both the local group data and the nearby voids indicate that isolated halos below 45 10 kms must not host galaxies and that small few mpc voids are truly dark | [['current', 'explanation', 'of', 'the', 'overabundance', 'of', 'dark', 'matter', 'subhalos', 'in', 'the', 'local', 'group', 'lg', 'indicates', 'that', 'there', 'maybe', 'a', 'limit', 'on', 'mass', 'of', 'a', 'halo', 'which', 'can', 'host', 'a', 'galaxy', 'this', 'idea', 'can', 'be', 'tested', 'using', 'voids', 'in', 'the', 'distribution', 'of', 'galaxies', 'at', 'some', 'level', 'small', 'voids', 'should', 'not', 'contain', 'any', 'even', 'dwarf', 'galaxies', 'we', 'use', 'observational', 'samples', 'complete', 'to', 'm_b', '12', 'with', 'distances', 'less', 'than', '8', 'mpc', 'to', 'construct', 'the', 'void', 'function', 'vf', 'the', 'distribution', 'of', 'sizes', 'of', 'voids', 'empty', 'of', 'any', 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707.3525 | On the orbital and physical parameters of the HDE 226868/Cygnus X-1
binary system | In this paper we explore the consequences of the recent determination of the
mass m=(8.7 +/- 0.8)M_Sun of Cygnus X-1, obtained from the Quasi-Periodic
Oscillation (QPO)-photon index correlation scaling, on the orbital and physical
properties of the binary system HDE 226868/Cygnus X-1. By using such a result
and the latest spectroscopic optical data of the HDE 226868 supergiant star we
get M=(24 +/- 5)M_Sun for its mass. It turns out that deviations from the third
Kepler law significant at more than 1-sigma level would occur if the
inclination i of the system's orbital plane to the plane of the sky falls
outside the range 41-56 deg: such deviations cannot be due to the first
post-Newtonian (1PN) correction to the orbital period because of its smallness;
interpreted in the framework of the Newtonian theory of gravitation as due to
the stellar quadrupole mass moment Q, they are unphysical because Q would take
unreasonably large values. By conservatively assuming that the third Kepler law
is an adequate model for the orbital period we obtain i=(48 +/- 7) deg which
yields for the relative semimajor axis a=(42 +/- 9)R_Sun. Our estimate for the
Roche's lobe of HDE 226868 is r_M = (21 +/- 6)R_Sun.
| gr-qc astro-ph | in this paper we explore the consequences of the recent determination of the mass m87 08m_sun of cygnus x1 obtained from the quasiperiodic oscillation qpophoton index correlation scaling on the orbital and physical properties of the binary system hde 226868cygnus x1 by using such a result and the latest spectroscopic optical data of the hde 226868 supergiant star we get m24 5m_sun for its mass it turns out that deviations from the third kepler law significant at more than 1sigma level would occur if the inclination i of the systems orbital plane to the plane of the sky falls outside the range 4156 deg such deviations cannot be due to the first postnewtonian 1pn correction to the orbital period because of its smallness interpreted in the framework of the newtonian theory of gravitation as due to the stellar quadrupole mass moment q they are unphysical because q would take unreasonably large values by conservatively assuming that the third kepler law is an adequate model for the orbital period we obtain i48 7 deg which yields for the relative semimajor axis a42 9r_sun our estimate for the roches lobe of hde 226868 is r_m 21 6r_sun | [['in', 'this', 'paper', 'we', 'explore', 'the', 'consequences', 'of', 'the', 'recent', 'determination', 'of', 'the', 'mass', 'm87', '08m_sun', 'of', 'cygnus', 'x1', 'obtained', 'from', 'the', 'quasiperiodic', 'oscillation', 'qpophoton', 'index', 'correlation', 'scaling', 'on', 'the', 'orbital', 'and', 'physical', 'properties', 'of', 'the', 'binary', 'system', 'hde', '226868cygnus', 'x1', 'by', 'using', 'such', 'a', 'result', 'and', 'the', 'latest', 'spectroscopic', 'optical', 'data', 'of', 'the', 'hde', '226868', 'supergiant', 'star', 'we', 'get', 'm24', '5m_sun', 'for', 'its', 'mass', 'it', 'turns', 'out', 'that', 'deviations', 'from', 'the', 'third', 'kepler', 'law', 'significant', 'at', 'more', 'than', '1sigma', 'level', 'would', 'occur', 'if', 'the', 'inclination', 'i', 'of', 'the', 'systems', 'orbital', 'plane', 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-0.24696656415229276, 0.048353822056014906, 0.03569433203908071] |
707.3526 | Cohomology of Split Group Extensions and Characteristic Classes | There are characteristic classes that are the obstructions to the vanishing
of the differentials in the Lyndon-Hochischild-Serre spectral sequence of an
extension of an integral lattice L by a group G. These characteristic classes
exist in a given page of the spectral sequence provided the differentials in
the previous pages are all zero. When L decomposes into a sum of G-sublattices,
we show that there are defining relations between the characteristic classes of
L and the characteristic classes of its summands.
| math.AT math.GR | there are characteristic classes that are the obstructions to the vanishing of the differentials in the lyndonhochischildserre spectral sequence of an extension of an integral lattice l by a group g these characteristic classes exist in a given page of the spectral sequence provided the differentials in the previous pages are all zero when l decomposes into a sum of gsublattices we show that there are defining relations between the characteristic classes of l and the characteristic classes of its summands | [['there', 'are', 'characteristic', 'classes', 'that', 'are', 'the', 'obstructions', 'to', 'the', 'vanishing', 'of', 'the', 'differentials', 'in', 'the', 'lyndonhochischildserre', 'spectral', 'sequence', 'of', 'an', 'extension', 'of', 'an', 'integral', 'lattice', 'l', 'by', 'a', 'group', 'g', 'these', 'characteristic', 'classes', 'exist', 'in', 'a', 'given', 'page', 'of', 'the', 'spectral', 'sequence', 'provided', 'the', 'differentials', 'in', 'the', 'previous', 'pages', 'are', 'all', 'zero', 'when', 'l', 'decomposes', 'into', 'a', 'sum', 'of', 'gsublattices', 'we', 'show', 'that', 'there', 'are', 'defining', 'relations', 'between', 'the', 'characteristic', 'classes', 'of', 'l', 'and', 'the', 'characteristic', 'classes', 'of', 'its', 'summands']] | [-0.21514152418350493, 0.0922580076343987, -0.08917418886211854, 0.05821981678327805, -0.05655724571168989, -0.06892127363317752, -0.011105582568959533, 0.3731870935121669, -0.3284916183262875, -0.2797013292489927, 0.07836935245520377, -0.26401717112034184, -0.11988895945250988, 0.2205330772160352, -0.05733609575294901, -0.05063653531958809, 0.02660020383051302, 0.10762273140628881, -0.09558603696855186, -0.2836612954830067, 0.4073267770530302, -0.07495736608376043, 0.19294002002894972, 0.022164332574304148, 0.07995957829341103, -0.03387202029529063, -0.07568204354589121, 0.02115111859350265, -0.14463916358547552, 0.11468426411664939, 0.27169992831311646, 0.1071489157178734, 0.2322365707611736, -0.3135367022898001, -0.1500567323498758, 0.19950067080981745, 0.10802037022489158, -0.0007036836888593964, 0.03300308236923022, -0.22229877106043733, 0.17457073646939442, -0.12187729531580795, -0.07291813681043591, -0.045570464038490494, 0.09686403000090696, 0.07873880198296113, -0.21952156889726868, -0.01182063192695002, 0.14504465566877323, 0.11611853022411277, -0.06658137626091278, -0.15654087264703798, -0.052869617850578664, 0.16893454260211968, 0.07178119742134705, 1.4904638917385777e-06, 0.043476683906975046, -0.12283989897917343, -0.1112409504425205, 0.34869539010326694, -0.06309267446469469, -0.1996642446168993, 0.17669837926573392, -0.13224606761484867, -0.12410902328600612, 0.18098685183102572, 0.05561462772090601, 0.132192442399933, -0.05037979340520422, 0.12535399533262995, -0.12077939673032187, 0.10690314556130126, 0.07868655951387143, 0.03844368388239719, 0.20872699879581416, 0.0732934698064611, 0.0728424081779262, 0.12760605090120924, -0.036755917063336585, -0.01382292761714964, -0.4086078125276143, -0.18910862290878086, -0.18819405301326675, 0.08502136687217635, -0.11406386112540082, -0.17827543855609396, 0.43969281028390306, 0.04785620301513921, 0.24224116429804435, 0.11004511272841239, 0.20306082701758493, 0.12469682844850837, 0.09516498496309453, 0.09374904762246186, 0.11341551044378194, 0.15466793902701687, 0.0018637191881484623, -0.1777810186104955, -0.01876143801698013, 0.13499746508189017] |
707.3527 | Radio Observations of AGN in Low Surface Brightness Galaxies | We present preliminary results of a study of the low frequency radio
continuum emission from the nuclei of Giant Low Surface Brightness (LSB)
galaxies. We have mapped the emission and searched for extended features such
as radio lobes/jets associated with AGN activity. LSB galaxies are poor in star
formation and generally less evolved compared to nearby bright spirals. This
paper presents low frequency observations of 3 galaxies; PGC 045080 at 1.4 GHz,
610 MHz, 325MHz, UGC 1922 at 610 MHz and UGC 6614 at 610 MHz. The observations
were done with the GMRT. Radio cores as well as extended structures were
detected and mapped in all three galaxies; the extended emission may be
assocated with jets/lobes associated with AGN activity. Our results indicate
that although these galaxies are optically dim, their nuclei can host AGN that
are bright in the radio domain.
| astro-ph | we present preliminary results of a study of the low frequency radio continuum emission from the nuclei of giant low surface brightness lsb galaxies we have mapped the emission and searched for extended features such as radio lobesjets associated with agn activity lsb galaxies are poor in star formation and generally less evolved compared to nearby bright spirals this paper presents low frequency observations of 3 galaxies pgc 045080 at 14 ghz 610 mhz 325mhz ugc 1922 at 610 mhz and ugc 6614 at 610 mhz the observations were done with the gmrt radio cores as well as extended structures were detected and mapped in all three galaxies the extended emission may be assocated with jetslobes associated with agn activity our results indicate that although these galaxies are optically dim their nuclei can host agn that are bright in the radio domain | [['we', 'present', 'preliminary', 'results', 'of', 'a', 'study', 'of', 'the', 'low', 'frequency', 'radio', 'continuum', 'emission', 'from', 'the', 'nuclei', 'of', 'giant', 'low', 'surface', 'brightness', 'lsb', 'galaxies', 'we', 'have', 'mapped', 'the', 'emission', 'and', 'searched', 'for', 'extended', 'features', 'such', 'as', 'radio', 'lobesjets', 'associated', 'with', 'agn', 'activity', 'lsb', 'galaxies', 'are', 'poor', 'in', 'star', 'formation', 'and', 'generally', 'less', 'evolved', 'compared', 'to', 'nearby', 'bright', 'spirals', 'this', 'paper', 'presents', 'low', 'frequency', 'observations', 'of', '3', 'galaxies', 'pgc', '045080', 'at', '14', 'ghz', '610', 'mhz', '325mhz', 'ugc', '1922', 'at', '610', 'mhz', 'and', 'ugc', '6614', 'at', '610', 'mhz', 'the', 'observations', 'were', 'done', 'with', 'the', 'gmrt', 'radio', 'cores', 'as', 'well', 'as', 'extended', 'structures', 'were', 'detected', 'and', 'mapped', 'in', 'all', 'three', 'galaxies', 'the', 'extended', 'emission', 'may', 'be', 'assocated', 'with', 'jetslobes', 'associated', 'with', 'agn', 'activity', 'our', 'results', 'indicate', 'that', 'although', 'these', 'galaxies', 'are', 'optically', 'dim', 'their', 'nuclei', 'can', 'host', 'agn', 'that', 'are', 'bright', 'in', 'the', 'radio', 'domain']] | [-0.05744089970110561, 0.08609801304707532, -0.0318113991474773, 0.10870334852014488, -0.10585560725512747, -0.08728080354429943, 0.02384363168351379, 0.539691238308982, -0.05955401407688749, -0.33453411716137, 0.1257859680880357, -0.283174789745173, -0.047618312146447656, 0.19912955382329633, 0.0030551260678941825, -0.09525315185318695, 0.01054634655015074, -0.1524691595126399, -0.01726201030579831, -0.23349834292483845, 0.23724241292090725, 0.08054651734720675, 0.1754367807880044, -0.05535466757288082, 0.05167046813428295, -0.1842230877471776, -0.0892874562288735, -0.08100128128937037, -0.07030636386113767, -0.001971591123306065, 0.34763174185783957, 0.10877599666337315, 0.1876855884685362, -0.36248435808359075, -0.18969728427825214, 0.0478721493989122, 0.20910969519277486, 0.015603217202500045, -0.09079705163411018, -0.32942117185150976, 0.13349234763358672, -0.19300539547698103, -0.1772937592715293, 0.11171476931559096, 0.006341507792365636, 0.08737447392697975, -0.12714640804224733, 0.1689856508813745, -0.001867286249553021, 0.14052489249826336, -0.12914293129399096, -0.13103919896370858, -0.03855874105993149, 0.06522172452587126, -0.04458904778919846, 0.10976556625063096, 0.20536748316514192, -0.10159769938863385, -0.07132405549180594, 0.3845736051896225, -0.05882058080902203, 0.09120429537289193, 0.2913542926686702, -0.24357340486197593, -0.2507781024231649, 0.18359449150362353, 0.16046218640211193, 0.06832526618842598, -0.1058192992324961, -0.0458307820818263, -0.03608499779265455, 0.2506746741668355, 0.060690698525432844, 0.12314443207151599, 0.33606078272028794, 0.05586596022413628, 0.009139521858192605, 0.15386181220114098, -0.280245584168592, 0.04963397168179157, -0.18418213304989844, -0.00617513229832616, -0.1344851886044531, 0.10654628425568556, -0.08262090995638102, -0.015853757799180936, 0.3836453112190683, 0.027642413264428595, 0.2082104130828981, 0.09236415152994099, 0.30888845307564883, 0.07229762339944408, 0.145984340403832, 0.18548777633138913, 0.31338959496816715, 0.16925061867646068, 0.06878620298016522, -0.22567429568236627, -0.023228600081860375, -0.06647243555099201] |
707.3528 | Singular measures of circle homeomorphisms with two break points | Let $T_{f}$ be a circle homeomorphism with two break points $a_{b},c_{b}$ and
irrational rotation number $\varrho_{f}$. Suppose that the derivative $Df$ of
its lift $f$ is absolutely continuous on every connected interval of the set
$S^{1}\backslash\{a_{b},c_{b}\}$, that $DlogDf \in L^{1}$ and the product of
the jump ratios of $ Df $ at the break points is nontrivial, i.e.
$\frac{Df_{-}(a_{b})}{Df_{+}(a_{b})}\frac{Df_{-}(c_{b})}{Df_{+}(c_{b})}\neq1$.
We prove that the unique $T_{f}$- invariant probability measure $\mu_{f}$ is
then singular with respect to Lebesgue measure $l$ on $S^{1}$.
| math.DS math.PR | let t_f be a circle homeomorphism with two break points a_bc_b and irrational rotation number varrho_f suppose that the derivative df of its lift f is absolutely continuous on every connected interval of the set s1backslasha_bc_b that dlogdf in l1 and the product of the jump ratios of df at the break points is nontrivial ie fracdf_a_bdf_a_bfracdf_c_bdf_c_bneq1 we prove that the unique t_f invariant probability measure mu_f is then singular with respect to lebesgue measure l on s1 | [['let', 't_f', 'be', 'a', 'circle', 'homeomorphism', 'with', 'two', 'break', 'points', 'a_bc_b', 'and', 'irrational', 'rotation', 'number', 'varrho_f', 'suppose', 'that', 'the', 'derivative', 'df', 'of', 'its', 'lift', 'f', 'is', 'absolutely', 'continuous', 'on', 'every', 'connected', 'interval', 'of', 'the', 'set', 's1backslasha_bc_b', 'that', 'dlogdf', 'in', 'l1', 'and', 'the', 'product', 'of', 'the', 'jump', 'ratios', 'of', 'df', 'at', 'the', 'break', 'points', 'is', 'nontrivial', 'ie', 'fracdf_a_bdf_a_bfracdf_c_bdf_c_bneq1', 'we', 'prove', 'that', 'the', 'unique', 't_f', 'invariant', 'probability', 'measure', 'mu_f', 'is', 'then', 'singular', 'with', 'respect', 'to', 'lebesgue', 'measure', 'l', 'on', 's1']] | [-0.21586382420644265, 0.13381231208778407, -0.12171587284673516, 0.0199225430475701, -0.03275090246780278, -0.17330915704114389, 0.07585895014288899, 0.36920320610069246, -0.30301972713372477, -0.14900575812398903, 0.10790991430148508, -0.3393266200508973, -0.06020791052955471, 0.1569492608717043, -0.08141557500244768, 0.02888361078747612, -0.014916014761906373, 0.13723170037751328, -0.09415386557540767, -0.20427621972479232, 0.3542411855281624, -0.08882234766058726, 0.2132626985397496, 0.038301476315684514, 0.13873398921465221, -0.05240243086623258, 0.004032241783347236, -0.013321063663070537, -0.16899589417103203, 0.04439449363885677, 0.20136978698269248, 0.06316000560923696, 0.24738181257390812, -0.2948888929170869, -0.13764069300489373, 0.2419876843461231, 0.09909440830911267, -0.12201501121616935, 0.0683404518712363, -0.2528973429221405, 0.12553476424862262, -0.11625753228284724, -0.1868252801479236, -0.0710219259833126, 0.11784990467386294, 0.03161052371413536, -0.3061757807919679, 0.029860945699149617, 0.07266740458826088, 0.09629198379355343, -0.04252290431799188, -0.06491876561960129, -0.1298636097320649, 0.09226300610765202, 0.06821678403114313, 0.18507741389107213, 0.11664917827057589, 0.018661664224752825, -0.06537238317733146, 0.3425907155671093, -0.11399328360359555, -0.23750294640354097, 0.17002064115941934, -0.24140334509836178, -0.16101489013239537, 0.14114806435695568, 0.09389653601619886, 0.09069845743783533, -0.03244512104620672, 0.1729177515937832, -0.07443028864489026, 0.16348889429275304, 0.0955620250371221, 0.0035854348624188913, 0.18812353511927776, 0.04488434803780576, 0.24586770988439452, 0.09658962300474666, -0.062273298629419244, -0.042531699733170746, -0.3606087463614467, -0.1523810077382073, -0.21424346303005945, 0.1373373972864388, -0.12284705988155384, -0.17740287007891561, 0.36544415719603024, 0.07793765970544048, 0.2626415327995097, 0.14195610501178324, 0.22508879807101537, 0.18770283160668205, 0.006307319492382342, 0.09694890649861669, 0.10573594167522371, 0.1314987063420656, -0.04864208291807812, -0.21494267880916595, 0.017946733209648975, 0.1354931900086366] |
707.3529 | Chandra Observation of PSR B1823-13 and its Pulsar Wind Nebula | We report on an observation of the Vela-like pulsar B1823-13 and its
synchrotron nebula with Chandra.The pulsar's spectrum fits a power-law model
with a photon index Gamma_PSR=2.4 for the plausible hydrogen column density
n_H=10^{22} cm^{-2}, corresponding to the luminosity L_PSR=8*10^{31} ergs
s^{-1} in the 0.5-8 keV band, at a distance of 4 kpc. The pulsar radiation
likely includes magnetospheric and thermal components, but they cannot be
reliably separated because of the small number of counts detected and strong
interstellar absorption. The pulsar is surrounded by a compact, 25''x 10'',
pulsar wind nebula (PWN) elongated in the east-west direction, which includes a
brighter inner component, 7''x 3'', elongated in the northeast-southwest
direction. The slope of the compact PWN spectrum is Gamma_comp=1.3, and the
0.5-8 keV luminosity is L_comp~3*10^{32} ergs s^{-1}. The compact PWN is
surrounded by asymmetric diffuse emission (extended PWN) seen up to at least
2.4' south of the pulsar, with a softer spectrum (Gamma_ext=1.9), and the 0.5-8
keV luminosity L_ext~10^{33}-10^{34} ergs s^{-1}. We also measured the pulsar's
proper motion using archival VLA data: \mu_\alpha=23.0+/-2.5 mas yr^{-1},
\mu_\delta=-3.9+/-3.3 mas yr^{-1}, which corresponds to the transverse
velocity v_perp=440 km s^{-1}. The direction of the proper motion is
approximately parallel to the elongation of the compact PWN, but it is nearly
perpendicular to that of the extended PWN and to the direction towards the
center of the bright VHE gamma-ray source HESS J1825-137, which is likely
powered by PSR B1823-13.
| astro-ph | we report on an observation of the velalike pulsar b182313 and its synchrotron nebula with chandrathe pulsars spectrum fits a powerlaw model with a photon index gamma_psr24 for the plausible hydrogen column density n_h1022 cm2 corresponding to the luminosity l_psr81031 ergs s1 in the 058 kev band at a distance of 4 kpc the pulsar radiation likely includes magnetospheric and thermal components but they cannot be reliably separated because of the small number of counts detected and strong interstellar absorption the pulsar is surrounded by a compact 25x 10 pulsar wind nebula pwn elongated in the eastwest direction which includes a brighter inner component 7x 3 elongated in the northeastsouthwest direction the slope of the compact pwn spectrum is gamma_comp13 and the 058 kev luminosity is l_comp31032 ergs s1 the compact pwn is surrounded by asymmetric diffuse emission extended pwn seen up to at least 24 south of the pulsar with a softer spectrum gamma_ext19 and the 058 kev luminosity l_ext10331034 ergs s1 we also measured the pulsars proper motion using archival vla data mu_alpha23025 mas yr1 mu_delta3933 mas yr1 which corresponds to the transverse velocity v_perp440 km s1 the direction of the proper motion is approximately parallel to the elongation of the compact pwn but it is nearly perpendicular to that of the extended pwn and to the direction towards the center of the bright vhe gammaray source hess j1825137 which is likely powered by psr b182313 | [['we', 'report', 'on', 'an', 'observation', 'of', 'the', 'velalike', 'pulsar', 'b182313', 'and', 'its', 'synchrotron', 'nebula', 'with', 'chandrathe', 'pulsars', 'spectrum', 'fits', 'a', 'powerlaw', 'model', 'with', 'a', 'photon', 'index', 'gamma_psr24', 'for', 'the', 'plausible', 'hydrogen', 'column', 'density', 'n_h1022', 'cm2', 'corresponding', 'to', 'the', 'luminosity', 'l_psr81031', 'ergs', 's1', 'in', 'the', '058', 'kev', 'band', 'at', 'a', 'distance', 'of', '4', 'kpc', 'the', 'pulsar', 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