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1,802.0546 | Shape invariance and equivalence relations for pseudowronskians of
Laguerre and Jacobi polynomials | In a previous paper we derived equivalence relations for pseudo-Wronskian
determinants of Hermite polynomials. In this paper we obtain the analogous
result for Laguerre and Jacobi polynomials. The equivalence formulas are richer
in this case since rational Darboux transformations can be defined for four
families of seed functions, as opposed to only two families in the Hermite
case. The pseudo-Wronskian determinants of Laguerre and Jacobi type will thus
depend on two Maya diagrams, while Hermite pseudo-Wronskians depend on just one
Maya diagram. We show that these equivalence relations can be interpreted as
the general transcription of shape invariance and specific discrete symmetries
acting on the parameters of the isotonic oscillator and Darboux-Poschl-Teller
potential.
| math.CA math-ph math.MP nlin.SI | in a previous paper we derived equivalence relations for pseudowronskian determinants of hermite polynomials in this paper we obtain the analogous result for laguerre and jacobi polynomials the equivalence formulas are richer in this case since rational darboux transformations can be defined for four families of seed functions as opposed to only two families in the hermite case the pseudowronskian determinants of laguerre and jacobi type will thus depend on two maya diagrams while hermite pseudowronskians depend on just one maya diagram we show that these equivalence relations can be interpreted as the general transcription of shape invariance and specific discrete symmetries acting on the parameters of the isotonic oscillator and darbouxposchlteller potential | [['in', 'a', 'previous', 'paper', 'we', 'derived', 'equivalence', 'relations', 'for', 'pseudowronskian', 'determinants', 'of', 'hermite', 'polynomials', 'in', 'this', 'paper', 'we', 'obtain', 'the', 'analogous', 'result', 'for', 'laguerre', 'and', 'jacobi', 'polynomials', 'the', 'equivalence', 'formulas', 'are', 'richer', 'in', 'this', 'case', 'since', 'rational', 'darboux', 'transformations', 'can', 'be', 'defined', 'for', 'four', 'families', 'of', 'seed', 'functions', 'as', 'opposed', 'to', 'only', 'two', 'families', 'in', 'the', 'hermite', 'case', 'the', 'pseudowronskian', 'determinants', 'of', 'laguerre', 'and', 'jacobi', 'type', 'will', 'thus', 'depend', 'on', 'two', 'maya', 'diagrams', 'while', 'hermite', 'pseudowronskians', 'depend', 'on', 'just', 'one', 'maya', 'diagram', 'we', 'show', 'that', 'these', 'equivalence', 'relations', 'can', 'be', 'interpreted', 'as', 'the', 'general', 'transcription', 'of', 'shape', 'invariance', 'and', 'specific', 'discrete', 'symmetries', 'acting', 'on', 'the', 'parameters', 'of', 'the', 'isotonic', 'oscillator', 'and', 'darbouxposchlteller', 'potential']] | [-0.13137471205222287, 0.11563412731214028, -0.05203613955278082, 0.11983862274168391, -0.08939706720411777, -0.12644888752713865, 0.006548231502945002, 0.35821359982115347, -0.27542917255777866, -0.23045628170283244, 0.09163298417947122, -0.250968669932003, -0.20611510178397502, 0.23024564593755972, -0.07185998650818094, 0.033721981719801467, 0.014521266689241332, 0.05483392017777078, -0.16819576406643527, -0.2571858501760289, 0.36865234478110714, -0.009459416382014751, 0.22724618228884147, -0.02760461245530418, 0.05752148470907871, 0.00019988193110163723, -0.02920200627080963, -0.08268921817320266, -0.1074055918832398, 0.11035826525559449, 0.23797403039809847, 0.11642472334954489, 0.1801409169274848, -0.37445743531653924, -0.12268046513366114, 0.1549316153499863, 0.21808894304142865, 0.04543894149537664, 0.005823316402841426, -0.25554355135370443, -0.021496894752739797, -0.15282790271989402, -0.18656899074059247, -0.10684245535022845, -0.0056694755621720105, 0.14678079186238133, -0.25087664752416977, 0.0680109028575576, 0.11270212153405217, 0.10137939522142655, -0.04601314286784535, -0.14925128868760243, -0.017343750780647888, 0.0994258940544179, 0.0017328279043015624, -0.03577163853956985, 0.06230493900615589, -0.07282696680548335, -0.10112757576280273, 0.3731972798497217, -0.033657852248455, -0.2910000651027076, 0.12113639894648388, -0.13440288612036966, -0.22866394117798855, 0.05498799190224547, 0.13560094185855373, 0.13958745514641382, -0.12411632077834968, 0.09437771994391499, -0.05794686418292778, 0.08432147189367763, 0.20958085318644798, 0.02628517601000827, 0.12624881775367872, -0.011948615491356967, -0.0010477639630802774, 0.17436487741360907, 0.036033811493585484, -0.13969367137802433, -0.32353064788705005, -0.17109183912647755, -0.1457973556077507, 0.05341032668781866, -0.15208399296170683, -0.1993839525966905, 0.41315173231331365, 0.07391731815849718, 0.16687267487447702, 0.09097329465397966, 0.17497950256802142, 0.16617523249338514, 0.07821119573782198, -0.018615201814100146, 0.21400628641380795, 0.1680593000492081, 0.028567766456814882, -0.15319417264462182, 0.024090513089114602, 0.21894824919789763] |
1,802.05461 | Supermixed labyrinth fractals | Labyrinth fractals are dendrites in the unit square. They were introduced and
studied in the last decade first in the self-similar case [Cristea & Steinsky
(2009,2011)], then in the mixed case [Cristea & Steinsky (2017), Cristea &
Leobacher (2017)]. Supermixed fractals constitute a significant generalisation
of mixed labyrinth fractals: each step of the iterative construction is done
according to not just one labyrinth pattern, but possibly to several different
patterns. In this paper we introduce and study supermixed labyrinth fractals
and the corresponding prefractals, called supermixed labyrinth sets, with focus
on the aspects that were previously studied for the self-similar and mixed
case: topological properties and properties of the arcs between points in the
fractal. The facts and formulae found here extend results proven in the above
mentioned cases. One of the main results is a sufficient condition for infinite
length of arcs in mixed labyrinth fractals.
| math.GT math.DS | labyrinth fractals are dendrites in the unit square they were introduced and studied in the last decade first in the selfsimilar case cristea steinsky 20092011 then in the mixed case cristea steinsky 2017 cristea leobacher 2017 supermixed fractals constitute a significant generalisation of mixed labyrinth fractals each step of the iterative construction is done according to not just one labyrinth pattern but possibly to several different patterns in this paper we introduce and study supermixed labyrinth fractals and the corresponding prefractals called supermixed labyrinth sets with focus on the aspects that were previously studied for the selfsimilar and mixed case topological properties and properties of the arcs between points in the fractal the facts and formulae found here extend results proven in the above mentioned cases one of the main results is a sufficient condition for infinite length of arcs in mixed labyrinth fractals | [['labyrinth', 'fractals', 'are', 'dendrites', 'in', 'the', 'unit', 'square', 'they', 'were', 'introduced', 'and', 'studied', 'in', 'the', 'last', 'decade', 'first', 'in', 'the', 'selfsimilar', 'case', 'cristea', 'steinsky', '20092011', 'then', 'in', 'the', 'mixed', 'case', 'cristea', 'steinsky', '2017', 'cristea', 'leobacher', '2017', 'supermixed', 'fractals', 'constitute', 'a', 'significant', 'generalisation', 'of', 'mixed', 'labyrinth', 'fractals', 'each', 'step', 'of', 'the', 'iterative', 'construction', 'is', 'done', 'according', 'to', 'not', 'just', 'one', 'labyrinth', 'pattern', 'but', 'possibly', 'to', 'several', 'different', 'patterns', 'in', 'this', 'paper', 'we', 'introduce', 'and', 'study', 'supermixed', 'labyrinth', 'fractals', 'and', 'the', 'corresponding', 'prefractals', 'called', 'supermixed', 'labyrinth', 'sets', 'with', 'focus', 'on', 'the', 'aspects', 'that', 'were', 'previously', 'studied', 'for', 'the', 'selfsimilar', 'and', 'mixed', 'case', 'topological', 'properties', 'and', 'properties', 'of', 'the', 'arcs', 'between', 'points', 'in', 'the', 'fractal', 'the', 'facts', 'and', 'formulae', 'found', 'here', 'extend', 'results', 'proven', 'in', 'the', 'above', 'mentioned', 'cases', 'one', 'of', 'the', 'main', 'results', 'is', 'a', 'sufficient', 'condition', 'for', 'infinite', 'length', 'of', 'arcs', 'in', 'mixed', 'labyrinth', 'fractals']] | [-0.08600298540356259, 0.12992065541590903, -0.08636797317931204, 0.11800709551989583, -0.055092714459417345, -0.10906151875008083, -0.0005056073728962042, 0.3426505043996987, -0.25412374782765695, -0.23166955118100588, 0.13373374128185794, -0.2667064391710657, -0.21467266157467632, 0.18149038593463124, -0.08402044562530434, 0.03145978446217611, 0.01189113976367822, 0.00704857384693538, -0.03607574922564367, -0.27486618874257707, 0.330687667210157, -0.017937263341765878, 0.247605797098223, 0.03374726597569777, 0.05613807480161389, -0.022502638987457076, -0.04565653679991498, 0.051334177458066725, -0.19971561619661235, 0.0858581960333366, 0.23200104729080875, 0.04989929923974308, 0.24298538497470795, -0.4092120802333803, -0.20029870179421533, 0.11332953968646785, 0.12258812830889108, 0.06703250691895736, -0.007059798930137557, -0.28139298891562786, 0.10434718423024322, -0.0978905044476244, -0.15685787362852366, 0.0010264086345514508, 0.06060637808107632, 0.03106706801484874, -0.18937131412102715, 0.05324308163360924, 0.14486180078106145, 0.07872631042165325, -0.07579593550156247, -0.12420556659922533, -0.02513317840094579, 0.10720584590106885, -0.012853341404982704, -0.025045351219422956, 0.023118914029039178, -0.06095331160067614, -0.18863554272787475, 0.35537094716643186, -0.009224461299096438, -0.18805783399189194, 0.21362284728134354, -0.17782131376914045, -0.20279196658706727, 0.10280855259022524, 0.1569712470477143, 0.11226662676385109, -0.12056218344612536, 0.07468683803404504, -0.12406561345337554, 0.12023480650011106, 0.1591800597351018, -0.023509056923303302, 0.13836075804784154, 0.17362826480695331, 0.05096966670479308, 0.2051841326368352, -0.058477852204550346, -0.12928727371882356, -0.2605110973760433, -0.12268736568326626, -0.15737775584735664, -0.019577787696868545, -0.04047919504599586, -0.18673648075563898, 0.39875485189919563, 0.09771674194419426, 0.22186958135257587, 0.02616408618797832, 0.17040779966867614, 0.06425553690832016, 0.07010617328589742, 0.06737597617617946, 0.15562821667747084, 0.12639186021472254, 0.11055376585719509, -0.11972047051362006, 0.026966028427374913, 0.13684631838852948] |
1,802.05462 | Geometric Properties of Bessel function derivatives | In this paper our aim is to find the radii of starlikeness and convexity of
Bessel function derivatives for three different kind of normalization. The key
tools in the proof of our main results are the Mittag-Leffler expansion for nth
derivative of Bessel function and properties of real zeros of it. In addition,
by using the Euler-Rayleigh inequalities we obtain some tight lower and upper
bounds for the radii of starlikeness and convexity of order zero for the
normalized nth derivative of Bessel function. The main results of the paper are
natural extensions of some known results on classical Bessel functions of the
first kind.
| math.CV | in this paper our aim is to find the radii of starlikeness and convexity of bessel function derivatives for three different kind of normalization the key tools in the proof of our main results are the mittagleffler expansion for nth derivative of bessel function and properties of real zeros of it in addition by using the eulerrayleigh inequalities we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero for the normalized nth derivative of bessel function the main results of the paper are natural extensions of some known results on classical bessel functions of the first kind | [['in', 'this', 'paper', 'our', 'aim', 'is', 'to', 'find', 'the', 'radii', 'of', 'starlikeness', 'and', 'convexity', 'of', 'bessel', 'function', 'derivatives', 'for', 'three', 'different', 'kind', 'of', 'normalization', 'the', 'key', 'tools', 'in', 'the', 'proof', 'of', 'our', 'main', 'results', 'are', 'the', 'mittagleffler', 'expansion', 'for', 'nth', 'derivative', 'of', 'bessel', 'function', 'and', 'properties', 'of', 'real', 'zeros', 'of', 'it', 'in', 'addition', 'by', 'using', 'the', 'eulerrayleigh', 'inequalities', 'we', 'obtain', 'some', 'tight', 'lower', 'and', 'upper', 'bounds', 'for', 'the', 'radii', 'of', 'starlikeness', 'and', 'convexity', 'of', 'order', 'zero', 'for', 'the', 'normalized', 'nth', 'derivative', 'of', 'bessel', 'function', 'the', 'main', 'results', 'of', 'the', 'paper', 'are', 'natural', 'extensions', 'of', 'some', 'known', 'results', 'on', 'classical', 'bessel', 'functions', 'of', 'the', 'first', 'kind']] | [-0.10406681763096934, 0.03331975449497501, -0.08737131034556245, 0.11527157132292078, -0.072152210585773, -0.01564751517559801, -0.006942904543220287, 0.3101390349013465, -0.2553647702648526, -0.25211846611152094, 0.12044644166183259, -0.28546150277058285, -0.19057908675500324, 0.24995411312030186, -0.04785782819214676, 0.1065199384997998, -0.019816019182049092, 0.06385763601533004, -0.11523934652851452, -0.28089439574451674, 0.38448525775401365, -0.011841860378072375, 0.1591632118315569, 0.10692494653076642, 0.05793958942272833, -0.012993970056552263, -0.05383757055249243, -0.09289237599642504, -0.22891848222574307, 0.17137525401388606, 0.18420942936403056, 0.11075726814922832, 0.3101628073535505, -0.3754042078164362, -0.11545122267589683, 0.11663064935932024, 0.1211452935689262, -0.021457705256484803, -0.021585119352675975, -0.24524127852526448, 0.09498179186623366, -0.11894099385521952, -0.20609096454101658, -0.0718113181635826, 0.0032008712634532936, 0.19305644940939687, -0.29432115020851296, 0.09184976086197864, 0.12540485708131677, 0.03261798887951521, -0.0903885171665544, -0.20345677541834967, 0.04040665597255741, 0.09443461388526928, 0.08330212727499504, -0.009966072914678426, 0.041446512489623964, -0.10379897029405194, -0.09283303068950773, 0.34634614867113883, -0.09069032600437779, -0.22794539612673578, 0.10589412566983984, -0.24493793704591338, -0.15817426179668734, 0.0680124698446196, 0.14548402326625018, 0.16059440697232882, -0.1380405897185916, 0.0718269035464064, -0.030881817257475287, 0.09599760361015797, 0.16393761386473973, 0.07395286567154385, 0.12045222250301213, 0.0696272803381795, 0.09480147554228703, 0.20977055105114623, -0.027630706741252824, -0.09365573230066469, -0.411960873291606, -0.22312438016136488, -0.2395288937991219, 0.00443675526683884, -0.17050116010664385, -0.15588089880378295, 0.42040441330699696, 0.10576250198507858, 0.16261172299938542, 0.15960505142630566, 0.2828944694428217, 0.1854615095670202, 0.060226204570028044, -0.0017682548834099655, 0.20724662985220285, 0.20034083880129314, 0.06584211002946609, -0.14165596749544854, 0.059930077625349874, 0.15751659422225894] |
1,802.05463 | Spontaneous symmetry breaking of domain walls in phase-competing regions | We study the nature of domain walls in an ordered phase in the
phase-competing region of two Ising-type order parameters. Considering a
two-component $\phi^4$ theory, we show that the domain wall of the ground-state
(primary) order parameter shows a second-order phase transition associated with
the secondary order parameter of the competing phase; the effective theory of
the phase transition is given by the Landau theory of Ising-type phase
transition. We find that the phase boundary of this phase transition is
different from the spinodal line of the competing order. Experimentally, the
phase transition is detected by the divergence of the susceptibility
corresponding to the secondary order when the temperature is quenched to
introduce the domain walls.
| cond-mat.stat-mech cond-mat.str-el | we study the nature of domain walls in an ordered phase in the phasecompeting region of two isingtype order parameters considering a twocomponent phi4 theory we show that the domain wall of the groundstate primary order parameter shows a secondorder phase transition associated with the secondary order parameter of the competing phase the effective theory of the phase transition is given by the landau theory of isingtype phase transition we find that the phase boundary of this phase transition is different from the spinodal line of the competing order experimentally the phase transition is detected by the divergence of the susceptibility corresponding to the secondary order when the temperature is quenched to introduce the domain walls | [['we', 'study', 'the', 'nature', 'of', 'domain', 'walls', 'in', 'an', 'ordered', 'phase', 'in', 'the', 'phasecompeting', 'region', 'of', 'two', 'isingtype', 'order', 'parameters', 'considering', 'a', 'twocomponent', 'phi4', 'theory', 'we', 'show', 'that', 'the', 'domain', 'wall', 'of', 'the', 'groundstate', 'primary', 'order', 'parameter', 'shows', 'a', 'secondorder', 'phase', 'transition', 'associated', 'with', 'the', 'secondary', 'order', 'parameter', 'of', 'the', 'competing', 'phase', 'the', 'effective', 'theory', 'of', 'the', 'phase', 'transition', 'is', 'given', 'by', 'the', 'landau', 'theory', 'of', 'isingtype', 'phase', 'transition', 'we', 'find', 'that', 'the', 'phase', 'boundary', 'of', 'this', 'phase', 'transition', 'is', 'different', 'from', 'the', 'spinodal', 'line', 'of', 'the', 'competing', 'order', 'experimentally', 'the', 'phase', 'transition', 'is', 'detected', 'by', 'the', 'divergence', 'of', 'the', 'susceptibility', 'corresponding', 'to', 'the', 'secondary', 'order', 'when', 'the', 'temperature', 'is', 'quenched', 'to', 'introduce', 'the', 'domain', 'walls']] | [-0.19018398689764454, 0.23799931890632783, -0.06770211311282012, 0.005780540204984297, -0.04949082801287095, -0.05497417816539006, 0.07645027367659074, 0.3493206290335491, -0.25673979950731557, -0.2633347931992391, 0.08406283919787805, -0.28319650898077364, -0.16087733870693322, 0.04187482566540611, 0.06296011789251271, 0.019509318991210955, -0.0682306867293564, 0.05929908371562588, -0.11934874582923306, -0.16743473102266354, 0.3816079813304582, -0.0315758788010812, 0.2953764857676137, 0.05697075275760465, 0.028094491319217044, -0.05329531097206576, 0.08523856841252539, 0.03300533294758021, -0.18931194054073722, 0.025149915319193025, 0.2243449208005492, -0.024229125432862805, 0.18107841916960374, -0.3776377426813646, -0.24609406462645736, 0.10842773666934527, 0.11993983819586995, 0.11767998486877708, -0.020536282620641628, -0.3078688503050342, 0.043118743077402225, -0.15040765978106907, -0.13251348992143275, -0.05701853334100853, -0.04529396854822749, -0.015973113350778948, -0.27516330058429517, 0.13123934178744595, 0.07833654367653974, 0.051549892077736297, -0.0655346501795254, -0.06015679807450365, -0.055255732880423555, 0.1256987275026341, 0.05730320155773119, 0.0991508294326446, 0.08092868162303007, -0.14903062560940802, -0.09908540772097506, 0.39253227235267646, -0.04332917980580783, -0.09587292112650928, 0.1778949930107799, -0.21016692919536203, -0.04799717986265775, 0.20140787911729824, 0.10563578068856792, 0.11189657797362527, -0.09573782240866045, 0.0779155421227313, 0.06510826197938577, 0.21707125276764694, -0.004913603100154935, -0.032046859738706, 0.20580570367646628, 0.16770163109598296, 0.03308092960525818, 0.2501871400705442, -0.1237836683009438, -0.1970140055094942, -0.30958221957151744, -0.14190461190321066, -0.20184906261194305, -0.04788314253653817, -0.13366110501650336, -0.19638125256811878, 0.4276876599881156, 0.15818459883428596, 0.20192680518937714, -0.03269446909363414, 0.2590722727211963, 0.16531255043208085, -0.001306186321769552, -0.008163198812639919, 0.2703119664260283, 0.12496210305132614, 0.11378847728965097, -0.2932295521765401, 0.04503068586024616, 0.10416404687767399] |
1,802.05464 | Estimates for a general fractional relaxation equation and application
to an inverse source problem | A general fractional relaxation equation is considered with a convolutional
derivative in time introduced by A. Kochubei (Integr. Equ. Oper. Theory 71
(2011), 583-600). This equation generalizes the single-term, multi-term and
distributed-order fractional relaxation equations. The fundamental and the
impulse-response solutions are studied in detail. Properties such as
analyticity and subordination identities are established and employed in the
proof of an upper and a lower bound. The obtained results extend some known
properties of the Mittag-Leffler functions. As an application of the estimates,
uniqueness and conditional stability are established for an inverse source
problem for the general time-fractional diffusion equation on a bounded domain.
| math.AP | a general fractional relaxation equation is considered with a convolutional derivative in time introduced by a kochubei integr equ oper theory 71 2011 583600 this equation generalizes the singleterm multiterm and distributedorder fractional relaxation equations the fundamental and the impulseresponse solutions are studied in detail properties such as analyticity and subordination identities are established and employed in the proof of an upper and a lower bound the obtained results extend some known properties of the mittagleffler functions as an application of the estimates uniqueness and conditional stability are established for an inverse source problem for the general timefractional diffusion equation on a bounded domain | [['a', 'general', 'fractional', 'relaxation', 'equation', 'is', 'considered', 'with', 'a', 'convolutional', 'derivative', 'in', 'time', 'introduced', 'by', 'a', 'kochubei', 'integr', 'equ', 'oper', 'theory', '71', '2011', '583600', 'this', 'equation', 'generalizes', 'the', 'singleterm', 'multiterm', 'and', 'distributedorder', 'fractional', 'relaxation', 'equations', 'the', 'fundamental', 'and', 'the', 'impulseresponse', 'solutions', 'are', 'studied', 'in', 'detail', 'properties', 'such', 'as', 'analyticity', 'and', 'subordination', 'identities', 'are', 'established', 'and', 'employed', 'in', 'the', 'proof', 'of', 'an', 'upper', 'and', 'a', 'lower', 'bound', 'the', 'obtained', 'results', 'extend', 'some', 'known', 'properties', 'of', 'the', 'mittagleffler', 'functions', 'as', 'an', 'application', 'of', 'the', 'estimates', 'uniqueness', 'and', 'conditional', 'stability', 'are', 'established', 'for', 'an', 'inverse', 'source', 'problem', 'for', 'the', 'general', 'timefractional', 'diffusion', 'equation', 'on', 'a', 'bounded', 'domain']] | [-0.0981790533660034, 0.05060151394485446, -0.07530789490386808, 0.1177213069625669, -0.096336396625808, -0.0971940701818365, -0.018331483156800055, 0.2779686015361504, -0.2973990907250605, -0.261282826312682, 0.16900157668623278, -0.2639709620655162, -0.15579891901065424, 0.22309923945763374, -0.059604294647833386, 0.12089725007366353, -0.018184498775280215, 0.009493507347657408, -0.0997842700916876, -0.21983138509818073, 0.27328524308378616, -0.02206336715466623, 0.22996228064401347, 0.06025955708046417, 0.12924074980168088, 0.0025913543474761027, -0.05428293917454707, -0.04300531076529579, -0.22582315574671386, 0.10361233589497114, 0.21695445453549184, 0.04474107379961795, 0.28317822319753827, -0.3919856710160531, -0.225566422159883, 0.040809681554306844, 0.116942595912017, 0.04277300530845679, -0.047423275569352115, -0.32776631013426966, 0.040278972049686806, -0.12385542397794214, -0.18181799543406635, -0.05674111402765351, 0.05859087947394374, 0.08736484657376281, -0.28656141476217406, 0.14969099043570097, 0.12897329222302414, 0.01903073866461693, -0.16298639424907008, -0.15269799260829475, 0.01222376174121661, 0.02828975544916918, 0.0183046613593848, 0.008568893304293595, 0.009587530711285987, -0.1274174752496002, -0.15662786030906786, 0.31932256650179625, -0.09593872518902555, -0.2729623552628802, 0.13494549691451044, -0.09021138591076998, -0.13937570492836457, 0.07312502686331798, 0.134479146988755, 0.19695813037699214, -0.20074369109832474, 0.14997090920647696, -0.05842509709786877, 0.1082529701514043, 0.1135045634537429, 0.02684256908804793, 0.022562264620769514, 0.12660112946737304, 0.0879989981434299, 0.14724881242897397, -0.00873945150479168, -0.1323237039863123, -0.3303388999866885, -0.16194209259173503, -0.17920418005228694, 0.08071026158094116, -0.11239260173706762, -0.1547014778932032, 0.3548387227652287, 0.07342562381431315, 0.14419625810736303, 0.10186400876190622, 0.20993733740393614, 0.25165200903243157, -0.0279949148506541, 0.09527399142281813, 0.18226320451736966, 0.2507885544181087, 0.15156564880072057, -0.1915194675150029, 0.06587646111113571, 0.15696523357134706] |
1,802.05465 | Massivizing Computer Systems: a Vision to Understand, Design, and
Engineer Computer Ecosystems through and beyond Modern Distributed Systems | Our society is digital: industry, science, governance, and individuals
depend, often transparently, on the inter-operation of large numbers of
distributed computer systems. Although the society takes them almost for
granted, these computer ecosystems are not available for all, may not be
affordable for long, and raise numerous other research challenges. Inspired by
these challenges and by our experience with distributed computer systems, we
envision Massivizing Computer Systems, a domain of computer science focusing on
understanding, controlling, and evolving successfully such ecosystems. Beyond
establishing and growing a body of knowledge about computer ecosystems and
their constituent systems, the community in this domain should also aim to
educate many about design and engineering for this domain, and all people about
its principles. This is a call to the entire community: there is much to
discover and achieve.
| cs.DC cs.SE | our society is digital industry science governance and individuals depend often transparently on the interoperation of large numbers of distributed computer systems although the society takes them almost for granted these computer ecosystems are not available for all may not be affordable for long and raise numerous other research challenges inspired by these challenges and by our experience with distributed computer systems we envision massivizing computer systems a domain of computer science focusing on understanding controlling and evolving successfully such ecosystems beyond establishing and growing a body of knowledge about computer ecosystems and their constituent systems the community in this domain should also aim to educate many about design and engineering for this domain and all people about its principles this is a call to the entire community there is much to discover and achieve | [['our', 'society', 'is', 'digital', 'industry', 'science', 'governance', 'and', 'individuals', 'depend', 'often', 'transparently', 'on', 'the', 'interoperation', 'of', 'large', 'numbers', 'of', 'distributed', 'computer', 'systems', 'although', 'the', 'society', 'takes', 'them', 'almost', 'for', 'granted', 'these', 'computer', 'ecosystems', 'are', 'not', 'available', 'for', 'all', 'may', 'not', 'be', 'affordable', 'for', 'long', 'and', 'raise', 'numerous', 'other', 'research', 'challenges', 'inspired', 'by', 'these', 'challenges', 'and', 'by', 'our', 'experience', 'with', 'distributed', 'computer', 'systems', 'we', 'envision', 'massivizing', 'computer', 'systems', 'a', 'domain', 'of', 'computer', 'science', 'focusing', 'on', 'understanding', 'controlling', 'and', 'evolving', 'successfully', 'such', 'ecosystems', 'beyond', 'establishing', 'and', 'growing', 'a', 'body', 'of', 'knowledge', 'about', 'computer', 'ecosystems', 'and', 'their', 'constituent', 'systems', 'the', 'community', 'in', 'this', 'domain', 'should', 'also', 'aim', 'to', 'educate', 'many', 'about', 'design', 'and', 'engineering', 'for', 'this', 'domain', 'and', 'all', 'people', 'about', 'its', 'principles', 'this', 'is', 'a', 'call', 'to', 'the', 'entire', 'community', 'there', 'is', 'much', 'to', 'discover', 'and', 'achieve']] | [-0.11291065151844897, 0.07711742292227808, -0.05745299572451735, 0.049409196163013355, -0.14590119314727498, -0.1376667985442414, 0.03405742866418032, 0.37700902047343793, -0.2909010646920373, -0.37786193754968805, 0.17282744387856253, -0.25364251244020886, -0.20697582151858943, 0.2661212150271593, -0.11215501338757797, 0.04731618839536738, 0.07720205099182899, -0.006768331849085751, 0.04426520164194169, -0.2961568407742168, 0.275127532452331, 0.0170149637104721, 0.2976128569640803, 0.08297346348165353, 0.04628916110134503, -0.013597646331998394, -0.06760128216692872, -0.022949407912735174, -0.0976478091941507, 0.21478491134719171, 0.3696801957931481, 0.2343076607247175, 0.3899779972453504, -0.45963900834808485, -0.2325557834093473, 0.09337640075541254, 0.17470486495303295, 0.11849957466500798, -0.04576583272419564, -0.3035566346761562, 0.10768427633082689, -0.17897038982569505, -0.10719774533132675, -0.0913442627790926, 0.048864812586706746, 0.03434696379326173, -0.16186364485062102, -0.031825997424702886, 0.054087240349695975, 0.14935791283957103, -0.01017883688006411, -0.13557259953900505, 0.01991239594948937, 0.24319465761072934, 0.02980152184426882, 0.002000433980111978, 0.1741455472734715, -0.19049109606273862, -0.11930414568980349, 0.4275985881477706, 0.09388372931393113, -0.1461613887726371, 0.2644745510822134, -0.11030867035542406, -0.16095637369192026, 0.034490314208026694, 0.2290198221288399, 0.03169669254870613, -0.18133700909371028, 0.05976194152982085, 0.005520590059737217, 0.20568341422659248, 0.029500701757922854, 0.021538216763162123, 0.273043551718566, 0.21556140833235443, 0.0719571494599005, 0.05145155586026011, 0.05840736378045968, -0.16621552900160982, -0.19768624677003097, -0.16353707679255464, -0.19056142764965267, 0.006945899819977818, -0.01458704582345585, -0.1425539806360073, 0.36027535693302976, 0.19100223436565902, 0.08577329553524728, 0.025371171283855368, 0.28703808142289294, 0.005736722800282956, 0.11022446063215108, 0.1015924024656276, 0.19607598576069213, 0.026308510469884347, 0.21402346194763458, -0.11835317897990237, 0.0983327218268845, -0.08426148693317047] |
1,802.05466 | 2D materials coupled to hybrid metal-dielectric waveguides for THz
technology | In this letter, we propose hybrid metal-dielectric waveguides coupled to 2D
materials that provide strong light-matter interaction at THz frequencies. We
investigate the properties of the fundamental propagating modes and show that
the strength of in-plane electric field components is maximized at the top of
the dielectric strip on which the 2D material is deposited. Our simulation
predicts 100 % modulation of THz light by tuning the Fermi level of a graphene
sheet deposited onto a 1mm-long waveguide. We also show the potential of
graphene multilayers coupled to these waveguides for achieving lasing at THz
frequency. Our approach is compatible with CMOS or THz quantum cascade laser
technologies.
| physics.optics | in this letter we propose hybrid metaldielectric waveguides coupled to 2d materials that provide strong lightmatter interaction at thz frequencies we investigate the properties of the fundamental propagating modes and show that the strength of inplane electric field components is maximized at the top of the dielectric strip on which the 2d material is deposited our simulation predicts 100 modulation of thz light by tuning the fermi level of a graphene sheet deposited onto a 1mmlong waveguide we also show the potential of graphene multilayers coupled to these waveguides for achieving lasing at thz frequency our approach is compatible with cmos or thz quantum cascade laser technologies | [['in', 'this', 'letter', 'we', 'propose', 'hybrid', 'metaldielectric', 'waveguides', 'coupled', 'to', '2d', 'materials', 'that', 'provide', 'strong', 'lightmatter', 'interaction', 'at', 'thz', 'frequencies', 'we', 'investigate', 'the', 'properties', 'of', 'the', 'fundamental', 'propagating', 'modes', 'and', 'show', 'that', 'the', 'strength', 'of', 'inplane', 'electric', 'field', 'components', 'is', 'maximized', 'at', 'the', 'top', 'of', 'the', 'dielectric', 'strip', 'on', 'which', 'the', '2d', 'material', 'is', 'deposited', 'our', 'simulation', 'predicts', '100', 'modulation', 'of', 'thz', 'light', 'by', 'tuning', 'the', 'fermi', 'level', 'of', 'a', 'graphene', 'sheet', 'deposited', 'onto', 'a', '1mmlong', 'waveguide', 'we', 'also', 'show', 'the', 'potential', 'of', 'graphene', 'multilayers', 'coupled', 'to', 'these', 'waveguides', 'for', 'achieving', 'lasing', 'at', 'thz', 'frequency', 'our', 'approach', 'is', 'compatible', 'with', 'cmos', 'or', 'thz', 'quantum', 'cascade', 'laser', 'technologies']] | [-0.18546659397927798, 0.1909692062609741, 0.004606528247197, -0.0917739957065282, -0.027045047262086057, -0.16671285977727682, 0.03643199548186769, 0.5092082403354207, -0.24987169269929235, -0.2737065300450854, -0.03075742031082968, -0.28563783410936594, -0.14978406654521473, 0.2548610303212695, 0.05585429393949936, 0.05161365569692175, 0.03381553520931739, -0.09816254183561057, 0.0003744358611996022, -0.14138951357058688, 0.2705542528562529, 0.0512417703987767, 0.37639005223007976, 0.10256371270636765, 0.0950207668444458, -0.026093580786419927, 0.12521401183670913, -0.059677249927706316, -0.12867115342559596, 0.12716005786699858, 0.23736128979856763, -0.10997385995128667, 0.22630781515387222, -0.4591176330539143, -0.2447247281209302, -0.041780601738829096, 0.12461682219928095, 0.11718308517406255, -0.09268601484407829, -0.2612527134775553, 0.08417451276250605, -0.08883918979521489, -0.11634327061386462, 0.0014694694535068746, -0.06221254675468992, 0.011351272938245872, -0.25746490685972123, 0.005577408007668982, 0.04147466716251143, 0.03997912468445786, -0.04982935309515528, -0.06531445366189868, -0.057273540659016874, 0.0034216723672799627, -0.013847543354989644, 0.024520786221299478, 0.21916627052475102, -0.13512042620579517, -0.1136324588112744, 0.3691180651779023, -0.09808625965291318, -0.12327633255143773, 0.18454772261529281, -0.18871406866413243, 0.021021447939587372, 0.14475854158506923, 0.20587636920500477, 0.08557678946680478, -0.11577850417124178, 0.06222715275307221, 0.010650596440822448, 0.24720993654732154, 0.13210911801049732, 0.1303198154716981, 0.30380095703140747, 0.2565746104810387, 0.015641397056826017, 0.1765127595028629, -0.12359149124965353, 0.03716378077372627, -0.2664700154707117, -0.1762763722470241, -0.22207319993473026, 0.04946028219123002, -0.07083598711131962, -0.2118194316346901, 0.47282150306492904, 0.18713831775909606, 0.07799436391840847, -0.002974709951679029, 0.29717949190932624, 0.1629342439272529, 0.09489421142300344, 0.02276750445972144, 0.34902122662016105, 0.17054431346236323, 0.12284934728951105, -0.23708548227694096, -0.0610594908720023, -0.042181900465193226] |
1,802.05467 | Nonlinear characterisation of a silicon integrated Bragg waveguide
filter | Bragg waveguides are promising optical filters for pump suppression in
spontaneous Four-Wave Mixing (FWM) photon sources. In this work, we investigate
the generation of unwanted photon pairs in the filter itself. We do this by
taking advantage of the relation between spontaneous and classical FWM, which
allows for the precise characterisation of the nonlinear response of the
device. The pair generation rate estimated from the classical measurement is
compared with the theoretical value calculated by means of a full quantum model
of the filter, which also allows to investigate the spectral properties of the
generated pairs. We find a good agreement between theory and experiment,
confirming that stimulated FWM is a valuable approach to characterise the
nonlinear response of an integrated filter, and that the pairs generated in a
Bragg waveguide are not a serious issue for the operation of a fully integrated
nonclassical source.
| quant-ph physics.optics | bragg waveguides are promising optical filters for pump suppression in spontaneous fourwave mixing fwm photon sources in this work we investigate the generation of unwanted photon pairs in the filter itself we do this by taking advantage of the relation between spontaneous and classical fwm which allows for the precise characterisation of the nonlinear response of the device the pair generation rate estimated from the classical measurement is compared with the theoretical value calculated by means of a full quantum model of the filter which also allows to investigate the spectral properties of the generated pairs we find a good agreement between theory and experiment confirming that stimulated fwm is a valuable approach to characterise the nonlinear response of an integrated filter and that the pairs generated in a bragg waveguide are not a serious issue for the operation of a fully integrated nonclassical source | [['bragg', 'waveguides', 'are', 'promising', 'optical', 'filters', 'for', 'pump', 'suppression', 'in', 'spontaneous', 'fourwave', 'mixing', 'fwm', 'photon', 'sources', 'in', 'this', 'work', 'we', 'investigate', 'the', 'generation', 'of', 'unwanted', 'photon', 'pairs', 'in', 'the', 'filter', 'itself', 'we', 'do', 'this', 'by', 'taking', 'advantage', 'of', 'the', 'relation', 'between', 'spontaneous', 'and', 'classical', 'fwm', 'which', 'allows', 'for', 'the', 'precise', 'characterisation', 'of', 'the', 'nonlinear', 'response', 'of', 'the', 'device', 'the', 'pair', 'generation', 'rate', 'estimated', 'from', 'the', 'classical', 'measurement', 'is', 'compared', 'with', 'the', 'theoretical', 'value', 'calculated', 'by', 'means', 'of', 'a', 'full', 'quantum', 'model', 'of', 'the', 'filter', 'which', 'also', 'allows', 'to', 'investigate', 'the', 'spectral', 'properties', 'of', 'the', 'generated', 'pairs', 'we', 'find', 'a', 'good', 'agreement', 'between', 'theory', 'and', 'experiment', 'confirming', 'that', 'stimulated', 'fwm', 'is', 'a', 'valuable', 'approach', 'to', 'characterise', 'the', 'nonlinear', 'response', 'of', 'an', 'integrated', 'filter', 'and', 'that', 'the', 'pairs', 'generated', 'in', 'a', 'bragg', 'waveguide', 'are', 'not', 'a', 'serious', 'issue', 'for', 'the', 'operation', 'of', 'a', 'fully', 'integrated', 'nonclassical', 'source']] | [-0.09901913010358714, 0.11945412131437855, -0.07477467823452477, 0.03525699058844676, -0.03440529867717675, -0.1032382583695239, 0.05642476466660998, 0.4306157465446098, -0.2690227524216833, -0.27795870891162033, 0.03884427006163731, -0.2850625080700787, -0.12593731295702787, 0.24568279806187313, -0.006644795301916271, 0.08679104634913905, 0.06518479931200373, -0.04217226345348975, -0.027704135143872478, -0.1405513499317498, 0.26956087568903275, 0.06505528816648214, 0.35326178826648613, 0.022990004487078764, 0.1359851535024314, 0.03134217278325352, -0.05170093496683343, -0.06092325847210555, -0.07811672929403421, 0.13493250864076203, 0.21955821531933153, 0.046674385692538886, 0.25472803846772374, -0.3851176301980841, -0.21613310174695377, 0.10849129851217028, 0.1186065555325356, 0.14039565651388516, -0.07550977206917416, -0.29091731444771946, 0.06680636174398763, -0.1407552278134972, -0.10287041078674897, -0.036488725187192705, -0.03551168525270347, -0.0003139584903316251, -0.3150853957563382, 0.055304303394172916, 0.07184052741604632, 0.021782761214879053, 0.015420677223050131, -0.009020712955630032, -0.030763982262077, 0.08654254237511035, -0.03426075939747408, -0.04036727812109066, 0.09710980529077994, -0.14495803662736353, -0.13453204593428508, 0.3817230168087729, -0.10666247086021408, -0.12922223552997256, 0.13838074113210214, -0.1538586782709021, -0.028035446099037756, 0.15204827721583947, 0.16453258163006654, 0.09195305872708559, -0.16974523269796166, 0.007440326971820845, -0.03270342183652623, 0.22325371850827902, 0.08978658641913327, 0.13162537133276006, 0.21855567204605403, 0.17882718296143515, 0.018696197590405313, 0.16850020923362724, -0.09414787446630413, -0.07822375784804723, -0.3262951554409389, -0.14992667680670474, -0.16990527355529625, 0.039517786483990895, -0.05566514658607173, -0.1179815362075119, 0.4306443683546165, 0.16931966840498278, 0.1751431997608522, -0.017029156495720663, 0.3076840185399713, 0.17896597143904916, 0.08195075115574331, -0.018607539034866054, 0.3139704276068971, 0.17011360852208374, 0.08536631554878991, -0.26945320939934203, 0.01498353776425637, -0.0011758665971714874] |
1,802.05468 | Digital Cultural Heritage imaging via osmosis filtering | In Cultural Heritage (CH) imaging, data acquired within different spectral
regions are often used to inspect surface and sub-surface features. Due to the
experimental setup, these images may suffer from intensity inhomogeneities,
which may prevent conservators from distinguishing the physical properties of
the object under restoration. Furthermore, in multi-modal imaging, the transfer
of information between one modality to another is often used to integrate image
contents. In this paper, we apply the image osmosis model proposed in (Weickert
et al. 2013) to solve similar problems arising when using diagnostic CH imaging
techniques based on reflectance, emission and fluorescence mode in the optical
and thermal range. For an efficient computation, we use stable operator
splitting techniques. We test our methods on real artwork datasets: the thermal
measurements of the mural painting "Monocromo" by Leonardo Da Vinci, the
UV-VIS-IR imaging of an ancient Russian icon and the Archimedes Palimpsest
dataset.
| math.NA | in cultural heritage ch imaging data acquired within different spectral regions are often used to inspect surface and subsurface features due to the experimental setup these images may suffer from intensity inhomogeneities which may prevent conservators from distinguishing the physical properties of the object under restoration furthermore in multimodal imaging the transfer of information between one modality to another is often used to integrate image contents in this paper we apply the image osmosis model proposed in weickert et al 2013 to solve similar problems arising when using diagnostic ch imaging techniques based on reflectance emission and fluorescence mode in the optical and thermal range for an efficient computation we use stable operator splitting techniques we test our methods on real artwork datasets the thermal measurements of the mural painting monocromo by leonardo da vinci the uvvisir imaging of an ancient russian icon and the archimedes palimpsest dataset | [['in', 'cultural', 'heritage', 'ch', 'imaging', 'data', 'acquired', 'within', 'different', 'spectral', 'regions', 'are', 'often', 'used', 'to', 'inspect', 'surface', 'and', 'subsurface', 'features', 'due', 'to', 'the', 'experimental', 'setup', 'these', 'images', 'may', 'suffer', 'from', 'intensity', 'inhomogeneities', 'which', 'may', 'prevent', 'conservators', 'from', 'distinguishing', 'the', 'physical', 'properties', 'of', 'the', 'object', 'under', 'restoration', 'furthermore', 'in', 'multimodal', 'imaging', 'the', 'transfer', 'of', 'information', 'between', 'one', 'modality', 'to', 'another', 'is', 'often', 'used', 'to', 'integrate', 'image', 'contents', 'in', 'this', 'paper', 'we', 'apply', 'the', 'image', 'osmosis', 'model', 'proposed', 'in', 'weickert', 'et', 'al', '2013', 'to', 'solve', 'similar', 'problems', 'arising', 'when', 'using', 'diagnostic', 'ch', 'imaging', 'techniques', 'based', 'on', 'reflectance', 'emission', 'and', 'fluorescence', 'mode', 'in', 'the', 'optical', 'and', 'thermal', 'range', 'for', 'an', 'efficient', 'computation', 'we', 'use', 'stable', 'operator', 'splitting', 'techniques', 'we', 'test', 'our', 'methods', 'on', 'real', 'artwork', 'datasets', 'the', 'thermal', 'measurements', 'of', 'the', 'mural', 'painting', 'monocromo', 'by', 'leonardo', 'da', 'vinci', 'the', 'uvvisir', 'imaging', 'of', 'an', 'ancient', 'russian', 'icon', 'and', 'the', 'archimedes', 'palimpsest', 'dataset']] | [0.012436570400333875, 0.026486746142562544, -0.10822692917251628, 0.06561502124173312, -0.10059788315046629, -0.09964064543760598, -0.004133543537846728, 0.4093272181192719, -0.2834426757882745, -0.3540776779505182, 0.12156907466721836, -0.29427750278519443, -0.146039832769319, 0.21866146677766915, -0.14757060674828484, 0.038887396422916484, 0.10013152387197295, -0.05430180470025397, -0.009168914967369645, -0.19824757020898987, 0.2978335883889398, 0.055365459476788975, 0.3356530137474917, 0.03638538638287709, 0.08927460306735505, -0.009301989479628328, -0.06741899119096821, -0.0146774912431632, -0.11169407874575421, 0.13039460752920043, 0.2966511525861179, 0.17865645705980618, 0.2275153105644041, -0.43350470712833417, -0.22000991818431306, 0.06632041168871196, 0.13211373527126055, 0.097796899974701, -0.056295412870072954, -0.3190100302613557, 0.026595929789848063, -0.09187082513809612, -0.05729255057498175, -0.07020713786964547, -0.012933737399815645, -0.03148643415395732, -0.26100550907064385, 0.07812995925762575, 0.01864290704921985, 0.10652821616441879, -0.10174458284466846, -0.11093970947605494, -0.019636237829579167, 0.15783681058941237, -0.005663594903188362, 0.007487917260732502, 0.14637000469191078, -0.14915312912589423, -0.09369342153862419, 0.367009512269997, -0.06862937826312415, -0.1280701345164482, 0.24822621372981277, -0.08342034792948565, -0.12336931786538191, 0.12514367384185426, 0.1758229926496438, 0.1254409589064754, -0.1583828499038546, 0.00881448851368862, -0.024970126236240342, 0.18063164098277587, 0.10279228966778833, 0.008466556349335469, 0.16567339344996296, 0.14864194161443628, -0.016645785063913423, 0.13200230905283816, -0.207734751328507, -0.034442025583240596, -0.18115502105840825, -0.14461751880557977, -0.17332270888875603, -0.0058423373513306455, -0.0401009462693266, -0.13670502960273664, 0.3634253191173217, 0.22750202347189571, 0.17312963391424552, -0.060831400150375775, 0.3479920963705709, 0.028192934942774018, 0.09657459891395649, 0.030611024687883175, 0.2159253444980307, 0.08700644343689544, 0.18451347470615212, -0.21217316147163257, 0.032077189279745705, 0.036045982692173795] |
1,802.05469 | Second order optimality on orthogonal Stiefel manifolds | The main tool to study a second order optimality problem is the Hessian
operator associated to the cost function that defines the optimization problem.
By regarding an orthogonal Stiefel manifold as a constraint manifold embedded
in an Euclidean space we obtain a concise matrix formula for the Hessian of a
cost function defined on such a manifold. We introduce an explicit local frame
on an orthogonal Stiefel manifold in order to compute the components of the
Hessian matrix of a cost function. We present some important properties of this
frame. As applications we rediscover second order conditions of optimality for
the Procrustes and the Penrose regression problems (previously found in the
literature). For the Brockett problem we find necessary and sufficient
conditions for a critical point to be a local minimum. Since many optimization
problems are approached using numerical algorithms, we give an explicit
description of the Newton algorithm on orthogonal Stiefel manifolds.
| math.NA cs.NA | the main tool to study a second order optimality problem is the hessian operator associated to the cost function that defines the optimization problem by regarding an orthogonal stiefel manifold as a constraint manifold embedded in an euclidean space we obtain a concise matrix formula for the hessian of a cost function defined on such a manifold we introduce an explicit local frame on an orthogonal stiefel manifold in order to compute the components of the hessian matrix of a cost function we present some important properties of this frame as applications we rediscover second order conditions of optimality for the procrustes and the penrose regression problems previously found in the literature for the brockett problem we find necessary and sufficient conditions for a critical point to be a local minimum since many optimization problems are approached using numerical algorithms we give an explicit description of the newton algorithm on orthogonal stiefel manifolds | [['the', 'main', 'tool', 'to', 'study', 'a', 'second', 'order', 'optimality', 'problem', 'is', 'the', 'hessian', 'operator', 'associated', 'to', 'the', 'cost', 'function', 'that', 'defines', 'the', 'optimization', 'problem', 'by', 'regarding', 'an', 'orthogonal', 'stiefel', 'manifold', 'as', 'a', 'constraint', 'manifold', 'embedded', 'in', 'an', 'euclidean', 'space', 'we', 'obtain', 'a', 'concise', 'matrix', 'formula', 'for', 'the', 'hessian', 'of', 'a', 'cost', 'function', 'defined', 'on', 'such', 'a', 'manifold', 'we', 'introduce', 'an', 'explicit', 'local', 'frame', 'on', 'an', 'orthogonal', 'stiefel', 'manifold', 'in', 'order', 'to', 'compute', 'the', 'components', 'of', 'the', 'hessian', 'matrix', 'of', 'a', 'cost', 'function', 'we', 'present', 'some', 'important', 'properties', 'of', 'this', 'frame', 'as', 'applications', 'we', 'rediscover', 'second', 'order', 'conditions', 'of', 'optimality', 'for', 'the', 'procrustes', 'and', 'the', 'penrose', 'regression', 'problems', 'previously', 'found', 'in', 'the', 'literature', 'for', 'the', 'brockett', 'problem', 'we', 'find', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'critical', 'point', 'to', 'be', 'a', 'local', 'minimum', 'since', 'many', 'optimization', 'problems', 'are', 'approached', 'using', 'numerical', 'algorithms', 'we', 'give', 'an', 'explicit', 'description', 'of', 'the', 'newton', 'algorithm', 'on', 'orthogonal', 'stiefel', 'manifolds']] | [-0.14203158276021674, -0.04389919933368029, -0.08759002834238916, 0.10241831139679633, -0.10164576011338557, -0.09257775588947184, 0.010865422101916588, 0.37612881936784226, -0.29031786577337804, -0.25765727756216245, 0.16395988383595192, -0.21281902246432854, -0.220467297037686, 0.17251492704088295, -0.11136353495256866, 0.09702725196561587, 0.05963394892694173, 0.07125319882289939, -0.16690063427066967, -0.257474787251756, 0.36065866217379355, 0.056495896248402545, 0.22917775145360555, 0.05008575745730424, 0.16987802225219853, 0.0066466351934507785, 0.029984693120544154, 0.008557584224796848, -0.16206472798645705, 0.12749032871691157, 0.26566326657608397, 0.17165508476432925, 0.2996250662870486, -0.40991833172982034, -0.15900936411401512, 0.15832297926086908, 0.12539182332940887, 0.07078707683679276, -0.03131102061118273, -0.2397437326890094, 0.07165119153891805, -0.09567505742112796, -0.156580880392355, -0.09415178083863378, -0.022102307382167553, -0.015440723658661096, -0.31611423124635313, 0.018071446814300382, 0.045370494234649575, 0.0523384351137222, -0.09376548644569185, -0.13707166644470656, 0.046507096663726114, 0.10394171572570367, 0.022843707871799863, 0.06039078305688461, 0.08385043162426431, -0.07646602527177558, -0.11640835701323607, 0.376935495100185, -0.032368554209444206, -0.28978421409109156, 0.11374404210159007, -0.04105039679420978, -0.1620226336028305, 0.10887191743510806, 0.21054509732860074, 0.1672537105851898, -0.1401045963143796, 0.11887199014312667, -0.05610001750679967, 0.10248364468681127, 0.04415770282579306, -0.0015329755690508809, 0.10443668827426687, 0.12253867570018652, 0.20337573884299834, 0.181590965362357, -0.01869252586343137, -0.09450290246799685, -0.3336390611027775, -0.2021135863561938, -0.22060296424737602, 0.05050699641696768, -0.1485173418762975, -0.19311254985898343, 0.388537639523765, 0.0816485232557931, 0.23730088346729092, 0.0865241038899114, 0.3005174397691792, 0.15404440718817106, 0.012096088047875883, 0.09754569483373095, 0.17143280269502773, 0.16733434710962078, 0.06975031462102349, -0.19021066170211676, 0.0069079081150490084, 0.1720559015851833] |
1,802.0547 | Chromatic symmetric functions via the group algebra of $S_n$ | We prove some Schur positivity results for the chromatic symmetric function
$X_G$ of a (hyper)graph $G$, using connections to the group algebra of the
symmetric group. The first such connection works for (hyper)forests $F$: we
describe the Schur coefficients of $X_F$ in terms of eigenvalues of a product
of Hermitian idempotents in the group algebra, one factor for each edge (a more
general formula of similar shape holds for all chordal graphs). Our main
application of this technique is to prove a conjecture of Taylor on the Schur
positivity of certain $X_F$, which implies Schur positivity of the formal group
laws associated to various combinatorial generating functions. We also
introduce the pointed chromatic symmetric function $X_{G,v}$ associated to a
rooted graph $(G,v)$. We prove that if $X_{G,v}$ and $X_{H,w}$ are positive in
the generalized Schur basis of Strahov, then the chromatic symmetric function
of the wedge sum of $(G,v)$ and $(H,w)$ is Schur positive.
| math.CO math.RT | we prove some schur positivity results for the chromatic symmetric function x_g of a hypergraph g using connections to the group algebra of the symmetric group the first such connection works for hyperforests f we describe the schur coefficients of x_f in terms of eigenvalues of a product of hermitian idempotents in the group algebra one factor for each edge a more general formula of similar shape holds for all chordal graphs our main application of this technique is to prove a conjecture of taylor on the schur positivity of certain x_f which implies schur positivity of the formal group laws associated to various combinatorial generating functions we also introduce the pointed chromatic symmetric function x_gv associated to a rooted graph gv we prove that if x_gv and x_hw are positive in the generalized schur basis of strahov then the chromatic symmetric function of the wedge sum of gv and hw is schur positive | [['we', 'prove', 'some', 'schur', 'positivity', 'results', 'for', 'the', 'chromatic', 'symmetric', 'function', 'x_g', 'of', 'a', 'hypergraph', 'g', 'using', 'connections', 'to', 'the', 'group', 'algebra', 'of', 'the', 'symmetric', 'group', 'the', 'first', 'such', 'connection', 'works', 'for', 'hyperforests', 'f', 'we', 'describe', 'the', 'schur', 'coefficients', 'of', 'x_f', 'in', 'terms', 'of', 'eigenvalues', 'of', 'a', 'product', 'of', 'hermitian', 'idempotents', 'in', 'the', 'group', 'algebra', 'one', 'factor', 'for', 'each', 'edge', 'a', 'more', 'general', 'formula', 'of', 'similar', 'shape', 'holds', 'for', 'all', 'chordal', 'graphs', 'our', 'main', 'application', 'of', 'this', 'technique', 'is', 'to', 'prove', 'a', 'conjecture', 'of', 'taylor', 'on', 'the', 'schur', 'positivity', 'of', 'certain', 'x_f', 'which', 'implies', 'schur', 'positivity', 'of', 'the', 'formal', 'group', 'laws', 'associated', 'to', 'various', 'combinatorial', 'generating', 'functions', 'we', 'also', 'introduce', 'the', 'pointed', 'chromatic', 'symmetric', 'function', 'x_gv', 'associated', 'to', 'a', 'rooted', 'graph', 'gv', 'we', 'prove', 'that', 'if', 'x_gv', 'and', 'x_hw', 'are', 'positive', 'in', 'the', 'generalized', 'schur', 'basis', 'of', 'strahov', 'then', 'the', 'chromatic', 'symmetric', 'function', 'of', 'the', 'wedge', 'sum', 'of', 'gv', 'and', 'hw', 'is', 'schur', 'positive']] | [-0.17898447620019392, 0.06781052487257819, -0.11071411427110434, 0.05254732799293806, -0.13295534355195843, -0.11485680120238503, 0.0014513775533595622, 0.3420899299695002, -0.3128047859086501, -0.19081991485363206, 0.07406898905964111, -0.21555653683045595, -0.1970530395204855, 0.14979984967457438, -0.09216522116257211, 0.0434251703870859, 0.03941753940095521, 0.08967611665794292, -0.10710241588441438, -0.2330087432662867, 0.3946394732234296, -0.025308537825060057, 0.19018772048783175, 0.10676470567276262, 0.10346008256804012, 0.0458614032018609, -0.06167069406692703, 0.017647556871151094, -0.14897221022013565, 0.11023896634894799, 0.2686311982777155, 0.14333797131074494, 0.2332518214902637, -0.3428999659734846, -0.07957369115801886, 0.20278045360850083, 0.11188740330048226, -0.03621532439812401, -0.034410196866563346, -0.22004398480921195, 0.12930084579425327, -0.21363754020942166, -0.17913906610939367, -0.021658365571538343, 0.08505654561993302, 0.04449661994439284, -0.296528373980611, 0.03895722603288923, 0.0981405199480718, 0.058544696820591456, -0.008768634227665746, -0.17881047934377012, -0.04947208034318705, 0.08296082941630226, -0.03384577910051934, 0.02407985742031196, 0.06380615355323581, -0.11545486425185292, -0.14294271474852172, 0.35671973497983045, -0.02028260189447774, -0.2124515383794213, 0.08046994213360233, -0.22041321455790902, -0.20871894633619498, 0.08100470328481485, 0.08468030157517518, 0.1689622103211945, -0.0263512245447233, 0.1517963235610356, -0.16746317220864115, 0.054610960842387764, 0.13182324421629063, 0.012344589378663172, 0.10271583707226033, 0.009508239816942111, 0.12092031292395283, 0.20529246999610784, 0.05781957909344566, -0.022086261772775763, -0.3566860075768651, -0.20776413381716471, -0.19315114944158676, 0.10199034676134636, -0.1787649265840104, -0.22902643338881976, 0.45165452356172714, 0.05019728877251684, 0.15512873241307817, 0.15780491987012005, 0.20580417207065996, 0.153691460194208, 0.07025717872053089, 0.05940783763032974, 0.12694125045773216, 0.3008058236353716, -0.01819243137755536, -0.15117062232996775, 0.012580517967792833, 0.22331583985306372] |
1,802.05471 | Smooth heaps and a dual view of self-adjusting data structures | We present a new connection between self-adjusting binary search trees (BSTs)
and heaps, two fundamental, extensively studied, and practically relevant
families of data structures. Roughly speaking, we map an arbitrary heap
algorithm within a natural model, to a corresponding BST algorithm with the
same cost on a dual sequence of operations (i.e. the same sequence with the
roles of time and key-space switched). This is the first general transformation
between the two families of data structures.
There is a rich theory of dynamic optimality for BSTs (i.e. the theory of
competitiveness between BST algorithms). The lack of an analogous theory for
heaps has been noted in the literature. Through our connection, we transfer all
instance-specific lower bounds known for BSTs to a general model of heaps,
initiating a theory of dynamic optimality for heaps.
On the algorithmic side, we obtain a new, simple and efficient heap
algorithm, which we call the smooth heap. We show the smooth heap to be the
heap-counterpart of Greedy, the BST algorithm with the strongest proven and
conjectured properties from the literature, widely believed to be
instance-optimal. Assuming the optimality of Greedy, the smooth heap is also
optimal within our model of heap algorithms. As corollaries of results known
for Greedy, we obtain instance-specific upper bounds for the smooth heap, with
applications in adaptive sorting.
Intriguingly, the smooth heap, although derived from a non-practical BST
algorithm, is simple and easy to implement (e.g. it stores no auxiliary data
besides the keys and tree pointers). It can be seen as a variation on the
popular pairing heap data structure, extending it with a "power-of-two-choices"
type of heuristic.
| cs.DS math.CO | we present a new connection between selfadjusting binary search trees bsts and heaps two fundamental extensively studied and practically relevant families of data structures roughly speaking we map an arbitrary heap algorithm within a natural model to a corresponding bst algorithm with the same cost on a dual sequence of operations ie the same sequence with the roles of time and keyspace switched this is the first general transformation between the two families of data structures there is a rich theory of dynamic optimality for bsts ie the theory of competitiveness between bst algorithms the lack of an analogous theory for heaps has been noted in the literature through our connection we transfer all instancespecific lower bounds known for bsts to a general model of heaps initiating a theory of dynamic optimality for heaps on the algorithmic side we obtain a new simple and efficient heap algorithm which we call the smooth heap we show the smooth heap to be the heapcounterpart of greedy the bst algorithm with the strongest proven and conjectured properties from the literature widely believed to be instanceoptimal assuming the optimality of greedy the smooth heap is also optimal within our model of heap algorithms as corollaries of results known for greedy we obtain instancespecific upper bounds for the smooth heap with applications in adaptive sorting intriguingly the smooth heap although derived from a nonpractical bst algorithm is simple and easy to implement eg it stores no auxiliary data besides the keys and tree pointers it can be seen as a variation on the popular pairing heap data structure extending it with a poweroftwochoices type of heuristic | [['we', 'present', 'a', 'new', 'connection', 'between', 'selfadjusting', 'binary', 'search', 'trees', 'bsts', 'and', 'heaps', 'two', 'fundamental', 'extensively', 'studied', 'and', 'practically', 'relevant', 'families', 'of', 'data', 'structures', 'roughly', 'speaking', 'we', 'map', 'an', 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1,802.05472 | Admissible Time Series Motif Discovery with Missing Data | The discovery of time series motifs has emerged as one of the most useful
primitives in time series data mining. Researchers have shown its utility for
exploratory data mining, summarization, visualization, segmentation,
classification, clustering, and rule discovery. Although there has been more
than a decade of extensive research, there is still no technique to allow the
discovery of time series motifs in the presence of missing data, despite the
well-documented ubiquity of missing data in scientific, industrial, and medical
datasets. In this work, we introduce a technique for motif discovery in the
presence of missing data. We formally prove that our method is admissible,
producing no false negatives. We also show that our method can piggy-back off
the fastest known motif discovery method with a small constant factor
time/space overhead. We will demonstrate our approach on diverse datasets with
varying amounts of missing data
| cs.LG cs.AI stat.ML | the discovery of time series motifs has emerged as one of the most useful primitives in time series data mining researchers have shown its utility for exploratory data mining summarization visualization segmentation classification clustering and rule discovery although there has been more than a decade of extensive research there is still no technique to allow the discovery of time series motifs in the presence of missing data despite the welldocumented ubiquity of missing data in scientific industrial and medical datasets in this work we introduce a technique for motif discovery in the presence of missing data we formally prove that our method is admissible producing no false negatives we also show that our method can piggyback off the fastest known motif discovery method with a small constant factor timespace overhead we will demonstrate our approach on diverse datasets with varying amounts of missing data | [['the', 'discovery', 'of', 'time', 'series', 'motifs', 'has', 'emerged', 'as', 'one', 'of', 'the', 'most', 'useful', 'primitives', 'in', 'time', 'series', 'data', 'mining', 'researchers', 'have', 'shown', 'its', 'utility', 'for', 'exploratory', 'data', 'mining', 'summarization', 'visualization', 'segmentation', 'classification', 'clustering', 'and', 'rule', 'discovery', 'although', 'there', 'has', 'been', 'more', 'than', 'a', 'decade', 'of', 'extensive', 'research', 'there', 'is', 'still', 'no', 'technique', 'to', 'allow', 'the', 'discovery', 'of', 'time', 'series', 'motifs', 'in', 'the', 'presence', 'of', 'missing', 'data', 'despite', 'the', 'welldocumented', 'ubiquity', 'of', 'missing', 'data', 'in', 'scientific', 'industrial', 'and', 'medical', 'datasets', 'in', 'this', 'work', 'we', 'introduce', 'a', 'technique', 'for', 'motif', 'discovery', 'in', 'the', 'presence', 'of', 'missing', 'data', 'we', 'formally', 'prove', 'that', 'our', 'method', 'is', 'admissible', 'producing', 'no', 'false', 'negatives', 'we', 'also', 'show', 'that', 'our', 'method', 'can', 'piggyback', 'off', 'the', 'fastest', 'known', 'motif', 'discovery', 'method', 'with', 'a', 'small', 'constant', 'factor', 'timespace', 'overhead', 'we', 'will', 'demonstrate', 'our', 'approach', 'on', 'diverse', 'datasets', 'with', 'varying', 'amounts', 'of', 'missing', 'data']] | [-0.11987014067805528, 0.011468833351197341, -0.09155168401775882, 0.05712494506426285, -0.13179822650757464, -0.11534510275103255, 0.08330402107741167, 0.40494706072948045, -0.24375705223145713, -0.36944116972800756, 0.11660610090135985, -0.291662967725036, -0.1779308741065001, 0.2261437375111402, -0.06993086089561176, 0.07101292730860426, 0.14848029451160175, 0.033099266745744496, 0.004449630817463104, -0.3144278603835523, 0.25304417866674256, 0.05656691376417358, 0.3273501553226702, 0.04409843466257573, 0.07169684602963065, -0.01471552503385788, -0.1158278642332233, -0.02369121422169782, -0.0697877409310321, 0.17050958946614023, 0.3314421937975567, 0.22178533049170962, 0.3572545021565424, -0.38045865625867414, -0.22505198597597578, 0.14317802020701087, 0.1766236521636731, 0.11844941461479014, -0.1414014162580012, -0.2632646984808768, 0.11442650485373128, -0.15195492778325892, -0.06774483024330241, -0.1766048151637531, 0.053862680864565644, -0.052042081880952336, -0.2348828555873802, 0.10198293335088238, 0.04555691000253622, 0.08722460322961625, -0.04057504227562782, -0.12998320619064746, 0.03426312009590523, 0.11495168488181662, 0.11656109346788274, 0.024011632505183417, 0.07115358420802902, -0.14543429691467383, -0.1878536458631667, 0.3382636116972814, -0.04475568605610331, -0.15291497448551025, 0.20286472961500598, -0.10494763509551477, -0.2494763860482231, 0.12696464744577599, 0.19015653340627775, 0.12460217123346713, -0.16502251122276196, 0.05031588849427256, -0.04293081247144275, 0.18577819219353842, 0.06670719280049929, -0.007566347286532012, 0.17090157782270884, 0.2608093834149056, 0.05567035507435018, 0.14019562546228473, -0.13422738626670455, -0.05656960782572343, -0.21651302999978522, -0.1333885475238882, -0.20766035984140924, -0.010826669495145325, -0.08530028407868587, -0.17743630966995422, 0.36892604930714396, 0.20439730041673304, 0.1822696911274559, 0.026576601203285262, 0.31570785609720686, 0.008172721865574002, 0.14884002096853996, 0.0695418238659234, 0.17892617726142312, 0.016217867242327582, 0.14818881732127112, -0.13704106030086727, 0.14092324970341805, -0.023944361814452957] |
1,802.05473 | Beta - and gamma-decay transition rates in the two-group shell model | In the framework of the two-group configuration model we obtain formulas for
the reduced transition rates for beta- and gamma-transitions in even-even,
odd-odd, even-odd, and odd-even nuclei. We explored dependencies of the
transition rates on the occupancies of the involved subshells, as well as on
the spin values of the initial and final states. The obtained formulas are
useful for the qualitative spectroscopic analysis of experimental data,
particulary in the regions of magicity, including the regions of the "remote"
nuclei.
| nucl-th | in the framework of the twogroup configuration model we obtain formulas for the reduced transition rates for beta and gammatransitions in eveneven oddodd evenodd and oddeven nuclei we explored dependencies of the transition rates on the occupancies of the involved subshells as well as on the spin values of the initial and final states the obtained formulas are useful for the qualitative spectroscopic analysis of experimental data particulary in the regions of magicity including the regions of the remote nuclei | [['in', 'the', 'framework', 'of', 'the', 'twogroup', 'configuration', 'model', 'we', 'obtain', 'formulas', 'for', 'the', 'reduced', 'transition', 'rates', 'for', 'beta', 'and', 'gammatransitions', 'in', 'eveneven', 'oddodd', 'evenodd', 'and', 'oddeven', 'nuclei', 'we', 'explored', 'dependencies', 'of', 'the', 'transition', 'rates', 'on', 'the', 'occupancies', 'of', 'the', 'involved', 'subshells', 'as', 'well', 'as', 'on', 'the', 'spin', 'values', 'of', 'the', 'initial', 'and', 'final', 'states', 'the', 'obtained', 'formulas', 'are', 'useful', 'for', 'the', 'qualitative', 'spectroscopic', 'analysis', 'of', 'experimental', 'data', 'particulary', 'in', 'the', 'regions', 'of', 'magicity', 'including', 'the', 'regions', 'of', 'the', 'remote', 'nuclei']] | [-0.06398126155254431, 0.14955735087860375, -0.023366824723780155, 0.15099024552619084, 0.09624874696601182, -0.07546791250351817, 0.10864899880834855, 0.3525922612287104, -0.16924097043520306, -0.30298182719852773, 0.026099246939702427, -0.2945766066084616, -0.04451332243042998, 0.20171689281414729, 0.06647157462975883, 0.04912218748522719, 0.061114353801531254, 0.05191311676753685, -0.11967958216555416, -0.1493624580602045, 0.3162920200324152, 0.09131817162269726, 0.26754783049691466, 0.04557885021204129, 0.02669909924879903, 0.012466219562338666, 0.01630012847017497, -0.035435743145353624, -0.16618284388096072, 0.11335690484484076, 0.27870674477890134, 0.10626306956401095, 0.1519060247228481, -0.41855505616404115, -0.14633292505750434, 0.06919375886791386, 0.1704289123241324, 0.1522164828609675, -0.05271380315243732, -0.3178094238450285, 0.022271907608956098, -0.19324701935984195, -0.13034187972079964, -0.12151812666561454, 0.048642488508630774, 0.0991093129152432, -0.28899061381816865, 0.11240985461045057, 0.031244459644221935, 0.0767958477488719, -0.17012008101446555, -0.23228471372276543, -0.04542048849907587, 0.16387740274658427, 0.08995750005560695, -0.057625963252212385, 0.11235206247074529, -0.12893631555489266, -0.0790722269215621, 0.36689988896250725, 0.013511955586727709, -0.1263068576110527, 0.1291652447253, -0.17596610080800018, -0.15827829721965828, 0.09997879484435543, 0.15629663705840358, 0.17611339042778126, -0.05891743270913139, 0.0704218015751394, -0.020912522985599934, 0.12374943975883071, 0.02993372437013022, 0.0796010746358661, 0.14735930042807013, 0.15265072025649715, -0.0050731167546473445, 0.1348714430583641, -0.18348807747242973, -0.13544913517253007, -0.3182892688040738, -0.12387562580406666, -0.13209227516781538, -0.030222838632471393, -0.09240127205212048, -0.1379753068438731, 0.4156371161428979, 0.04187247840454802, 0.24017650448950006, -0.004086943995207548, 0.23709983440348878, 0.08790359984559473, 0.05542007111944258, -0.02482268076855689, 0.28118477246025575, 0.17882682585768633, 0.07072495046304539, -0.28824244129355064, 0.11011121695046314, 0.046296336490195246] |
1,802.05474 | Gauge invariant determination of charged hadron masses | In this paper we show, for the first time, that charged-hadron masses can be
calculated on the lattice without relying on gauge fixing at any stage of the
calculations. In our simulations we follow a recent proposal and formulate full
QCD+QED on a finite volume, without spoiling locality, by imposing C-periodic
boundary conditions in the spatial directions. Electrically charged states are
interpolated with a class of operators, originally suggested by Dirac and built
as functionals of the photon field, that are invariant under local gauge
transformations. We show that the quality of the numerical signal of
charged-hadron masses is the same as in the neutral sector and that
charged-neutral mass splittings can be calculated with satisfactory accuracy in
this setup. We also discuss how to describe states of charged hadrons with real
photons in a fully gauge-invariant way by providing a first evidence that the
proposed strategy can be numerically viable.
| hep-lat | in this paper we show for the first time that chargedhadron masses can be calculated on the lattice without relying on gauge fixing at any stage of the calculations in our simulations we follow a recent proposal and formulate full qcdqed on a finite volume without spoiling locality by imposing cperiodic boundary conditions in the spatial directions electrically charged states are interpolated with a class of operators originally suggested by dirac and built as functionals of the photon field that are invariant under local gauge transformations we show that the quality of the numerical signal of chargedhadron masses is the same as in the neutral sector and that chargedneutral mass splittings can be calculated with satisfactory accuracy in this setup we also discuss how to describe states of charged hadrons with real photons in a fully gaugeinvariant way by providing a first evidence that the proposed strategy can be numerically viable | [['in', 'this', 'paper', 'we', 'show', 'for', 'the', 'first', 'time', 'that', 'chargedhadron', 'masses', 'can', 'be', 'calculated', 'on', 'the', 'lattice', 'without', 'relying', 'on', 'gauge', 'fixing', 'at', 'any', 'stage', 'of', 'the', 'calculations', 'in', 'our', 'simulations', 'we', 'follow', 'a', 'recent', 'proposal', 'and', 'formulate', 'full', 'qcdqed', 'on', 'a', 'finite', 'volume', 'without', 'spoiling', 'locality', 'by', 'imposing', 'cperiodic', 'boundary', 'conditions', 'in', 'the', 'spatial', 'directions', 'electrically', 'charged', 'states', 'are', 'interpolated', 'with', 'a', 'class', 'of', 'operators', 'originally', 'suggested', 'by', 'dirac', 'and', 'built', 'as', 'functionals', 'of', 'the', 'photon', 'field', 'that', 'are', 'invariant', 'under', 'local', 'gauge', 'transformations', 'we', 'show', 'that', 'the', 'quality', 'of', 'the', 'numerical', 'signal', 'of', 'chargedhadron', 'masses', 'is', 'the', 'same', 'as', 'in', 'the', 'neutral', 'sector', 'and', 'that', 'chargedneutral', 'mass', 'splittings', 'can', 'be', 'calculated', 'with', 'satisfactory', 'accuracy', 'in', 'this', 'setup', 'we', 'also', 'discuss', 'how', 'to', 'describe', 'states', 'of', 'charged', 'hadrons', 'with', 'real', 'photons', 'in', 'a', 'fully', 'gaugeinvariant', 'way', 'by', 'providing', 'a', 'first', 'evidence', 'that', 'the', 'proposed', 'strategy', 'can', 'be', 'numerically', 'viable']] | [-0.09823533623719848, 0.1900800921374451, -0.10171929293231952, 0.06382836305477736, -0.021240920240108836, -0.09054180727778188, 0.031044284268035648, 0.39602380475362403, -0.18180194693819515, -0.3109822618768902, 0.059685379784825625, -0.22796887966699356, -0.0855117661952479, 0.14936407586861872, -0.021051227762703073, 0.06444977103178975, 0.07697386718786858, 0.012402840523012229, -0.10020640069797684, -0.2311222877720408, 0.36342655687858133, 0.048768513265454415, 0.25397467834640614, 0.09537477586349004, 0.09938958834622376, 0.014467139666690337, -0.0098552457827902, 0.049767537690107, -0.10008182421613628, 0.0794730682522737, 0.19804247626757238, 0.07223423780944346, 0.1783952298913373, -0.4250704745903907, -0.20008848863499645, 0.0948531101858675, 0.12904152551986622, 0.14430637747999156, -0.09711235199630143, -0.31199119087703375, 0.12301666015105335, -0.16468590318490536, -0.14609836715902663, -0.12475402929530238, -0.056710407072338986, -0.01403382219472863, -0.2927875443244513, 0.09212677861276293, -0.01499357804754712, 0.015260216980794404, -0.06069902902999461, -0.09379502208841754, -0.06002374018838518, 0.09060859798364317, 0.06297382168218937, 0.023831274761318764, 0.1111912373977633, -0.11492352678119791, -0.15927775628365182, 0.39930116876170335, -0.10880475277266163, -0.24977329227956171, 0.15667713522318974, -0.1521821957827848, -0.14157356234847118, 0.09396023424311437, 0.15926256212128315, 0.12668482822964325, -0.1797336471014169, 0.11196487546714935, -0.06896377597173788, 0.15238090098792353, 0.06439178630814499, 0.0364175995176547, 0.21206194072320367, 0.12103964666842132, 0.03587361687288576, 0.10805662908006941, -0.036105440611895544, -0.07301173769461843, -0.3682014492790628, -0.160610399986093, -0.1641945694588643, 0.04858415201614728, -0.07363272397225763, -0.10027641374525299, 0.40063110782166583, 0.14699477274803482, 0.2192903101098853, 0.053221116909473544, 0.2885483643533477, 0.12087849063400968, 0.09239887322194332, 0.06744766021024017, 0.2646316251361323, 0.0901711183532283, 0.07809904847750503, -0.22878350890765817, 0.0008540446168453192, 0.08026502376564143] |
1,802.05475 | Robust and sparse Gaussian graphical modeling under cell-wise
contamination | Graphical modeling explores dependences among a collection of variables by
inferring a graph that encodes pairwise conditional independences. For jointly
Gaussian variables, this translates into detecting the support of the precision
matrix. Many modern applications feature high-dimensional and contaminated data
that complicate this task. In particular, traditional robust methods that
down-weight entire observation vectors are often inappropriate as
high-dimensional data may feature partial contamination in many observations.
We tackle this problem by giving a robust method for sparse precision matrix
estimation based on the $\gamma$-divergence under a cell-wise contamination
model. Simulation studies demonstrate that our procedure outperforms existing
methods especially for highly contaminated data.
| stat.ME | graphical modeling explores dependences among a collection of variables by inferring a graph that encodes pairwise conditional independences for jointly gaussian variables this translates into detecting the support of the precision matrix many modern applications feature highdimensional and contaminated data that complicate this task in particular traditional robust methods that downweight entire observation vectors are often inappropriate as highdimensional data may feature partial contamination in many observations we tackle this problem by giving a robust method for sparse precision matrix estimation based on the gammadivergence under a cellwise contamination model simulation studies demonstrate that our procedure outperforms existing methods especially for highly contaminated data | [['graphical', 'modeling', 'explores', 'dependences', 'among', 'a', 'collection', 'of', 'variables', 'by', 'inferring', 'a', 'graph', 'that', 'encodes', 'pairwise', 'conditional', 'independences', 'for', 'jointly', 'gaussian', 'variables', 'this', 'translates', 'into', 'detecting', 'the', 'support', 'of', 'the', 'precision', 'matrix', 'many', 'modern', 'applications', 'feature', 'highdimensional', 'and', 'contaminated', 'data', 'that', 'complicate', 'this', 'task', 'in', 'particular', 'traditional', 'robust', 'methods', 'that', 'downweight', 'entire', 'observation', 'vectors', 'are', 'often', 'inappropriate', 'as', 'highdimensional', 'data', 'may', 'feature', 'partial', 'contamination', 'in', 'many', 'observations', 'we', 'tackle', 'this', 'problem', 'by', 'giving', 'a', 'robust', 'method', 'for', 'sparse', 'precision', 'matrix', 'estimation', 'based', 'on', 'the', 'gammadivergence', 'under', 'a', 'cellwise', 'contamination', 'model', 'simulation', 'studies', 'demonstrate', 'that', 'our', 'procedure', 'outperforms', 'existing', 'methods', 'especially', 'for', 'highly', 'contaminated', 'data']] | [-0.06185463805181476, 0.01908244100027682, -0.07168701709955573, 0.09285992787156899, -0.11111557969259313, -0.17014193924002868, 0.05427336243715567, 0.4064263310820724, -0.2826548610598995, -0.2935188717584914, 0.12979126032307528, -0.2680586491120406, -0.1923637922781591, 0.21849973973943493, -0.15033033565403178, 0.102756681610257, 0.16801137346947842, -0.039258927966539674, -0.09127767995680468, -0.2469781833365582, 0.2946608671549117, 0.03769820543507544, 0.3399255476497973, -0.07072930467424718, 0.12126055702565981, 0.08761716612543051, -0.13549487676377445, 0.03691320443669191, -0.005488028569883541, 0.16754504440849324, 0.35710122726427823, 0.22577019100628185, 0.3297345126585032, -0.38078685477375984, -0.29362678810810816, 0.1526306965007769, 0.1317104111524084, 0.09849718761128876, -0.04912635487562511, -0.31501407278343463, 0.041713710175827146, -0.11483283779223431, -0.036253413729215166, -0.15686503588669717, -0.02655414552338278, -0.03552993438923015, -0.3719446248365924, 0.1166426703947274, 0.06533496559355766, 0.052153381977964625, -0.007685144655764676, -0.17707208441704728, 0.05146891970518762, 0.08277234579705131, 0.04233091565793774, -0.007519874699377956, 0.12620996124594688, -0.13048614776254489, -0.0924605937459721, 0.3299771754984529, -0.018146067562226493, -0.25061503898065823, 0.15643220164034013, -0.053276800535968505, -0.2572541505169983, 0.1426720201360205, 0.23298557334615347, 0.09125499284038177, -0.19514913668927664, 0.05586948840769205, -0.055711395568393454, 0.18492840671947655, -0.002034660692935666, 0.02914122955945249, 0.1849766547093168, 0.18986561084658696, 0.04236223138846421, 0.1080958240155059, -0.13072366031253926, -0.05711781875400517, -0.22226866925708377, -0.06814096532504593, -0.22182571720511007, -0.05067580281264292, -0.1523366887112598, -0.18554147091121054, 0.36760090210904867, 0.2447201371195171, 0.23871923732356384, 0.056646378136625014, 0.35944624651724905, 0.05192785367790538, 0.03959769061139713, 0.06608871597507879, 0.13685496748747447, 0.10861491618337683, 0.019112557257848002, -0.1508083439749988, 0.14651667546086872, -0.01100450251564885] |
1,802.05476 | Quantum Walks of kicked Bose-Einstein condensates | We analytically investigate the recently proposed and implemented
discrete-time quantum walk based on kicked ultra-cold atoms. We show how the
internal level structure of the kicked atoms leads to the emergence of a
relative light-shift phase immediately relevant for the experimental
realization. Analytical solutions are provided for the momentum distribution
for both the case of quantum resonance and the near-resonant quasimomenta.
| quant-ph cond-mat.quant-gas | we analytically investigate the recently proposed and implemented discretetime quantum walk based on kicked ultracold atoms we show how the internal level structure of the kicked atoms leads to the emergence of a relative lightshift phase immediately relevant for the experimental realization analytical solutions are provided for the momentum distribution for both the case of quantum resonance and the nearresonant quasimomenta | [['we', 'analytically', 'investigate', 'the', 'recently', 'proposed', 'and', 'implemented', 'discretetime', 'quantum', 'walk', 'based', 'on', 'kicked', 'ultracold', 'atoms', 'we', 'show', 'how', 'the', 'internal', 'level', 'structure', 'of', 'the', 'kicked', 'atoms', 'leads', 'to', 'the', 'emergence', 'of', 'a', 'relative', 'lightshift', 'phase', 'immediately', 'relevant', 'for', 'the', 'experimental', 'realization', 'analytical', 'solutions', 'are', 'provided', 'for', 'the', 'momentum', 'distribution', 'for', 'both', 'the', 'case', 'of', 'quantum', 'resonance', 'and', 'the', 'nearresonant', 'quasimomenta']] | [-0.13971687544167774, 0.19164444570292216, -0.057901144313977145, 0.04981273718097879, 0.002755908352765636, -0.1536831887454161, 0.07166081154146461, 0.375500353022677, -0.22437379191644857, -0.2167476767246596, 0.038759210818737254, -0.23836428587149341, -0.15250345276760274, 0.21870918933790726, 0.03666660050693594, 0.13210465213986206, 0.06742237508296967, 0.02410305702875628, -0.026952722940506168, -0.22404674687575488, 0.30684394780241075, 0.06691666603561675, 0.29256027292643416, 0.06684133082200758, 0.1270090339048842, 0.028041648134573927, 0.07384778446227801, -0.05481252657463316, -0.14874141141543257, 0.10956015014929361, 0.1707817760952672, 0.02613479490620924, 0.2007045170452568, -0.46298255136267086, -0.1775518006866523, 0.06174088958040124, 0.17729443257491365, 0.2130393119620495, -0.0975906832819255, -0.36671402888204596, -0.013709381879230991, -0.17580014549684328, -0.16148472235339587, -0.12406604868344596, 0.009378122119996392, 0.046867714351287386, -0.25434881227079503, 0.04596999271574323, 0.044099170772466605, 0.05534463846048371, -0.06541500020711148, -0.05816478677261926, -0.004036598964823318, 0.09051631451355385, -0.04756364191780449, -0.043929702141913815, 0.15465483550348733, -0.106971509342433, -0.15363252700352278, 0.38692688160255306, -0.07108805490443941, -0.19116846218583036, 0.17726638944071457, -0.178309835478297, -0.08408668983086455, 0.07743336348870739, 0.1498606633929322, 0.08191865638135093, -0.09762549818756791, 0.08999914304757888, -0.03450010551261853, 0.14301862110208233, 0.06805628876308681, 0.08124511907274118, 0.2159947166753719, 0.135812115855515, 0.021411512703558462, 0.20779907634695532, -0.10950505646846456, -0.24344656690878824, -0.27855888247245647, -0.15692280552762208, -0.19227074517211953, 0.04513596984573075, -0.03568062742696846, -0.1243252705965863, 0.4427817018672091, 0.17539250130810943, 0.2062440869688499, -0.00928739888868371, 0.2695413479184518, 0.18702733353329976, -0.024875284848185103, 0.04859517568905578, 0.26013140674283514, 0.1911714964042433, 0.07425134443510019, -0.3197698887040625, 0.016172145896011077, 0.04766949313524805] |
1,802.05477 | Approximate quantum Markov chains | This book is an introduction to quantum Markov chains and explains how this
concept is connected to the question of how well a lost quantum mechanical
system can be recovered from a correlated subsystem. To achieve this goal, we
strengthen the data-processing inequality such that it reveals a statement
about the reconstruction of lost information. The main difficulty in order to
understand the behavior of quantum Markov chains arises from the fact that
quantum mechanical operators do not commute in general. As a result we start by
explaining two techniques of how to deal with non-commuting matrices: the
spectral pinching method and complex interpolation theory. Once the reader is
familiar with these techniques a novel inequality is presented that extends the
celebrated Golden-Thompson inequality to arbitrarily many matrices. This
inequality is the key ingredient in understanding approximate quantum Markov
chains and it answers a question from matrix analysis that was open since 1973,
i.e., if Lieb's triple matrix inequality can be extended to more than three
matrices. Finally, we carefully discuss the properties of approximate quantum
Markov chains and their implications.
| quant-ph cs.IT math-ph math.IT math.MP | this book is an introduction to quantum markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem to achieve this goal we strengthen the dataprocessing inequality such that it reveals a statement about the reconstruction of lost information the main difficulty in order to understand the behavior of quantum markov chains arises from the fact that quantum mechanical operators do not commute in general as a result we start by explaining two techniques of how to deal with noncommuting matrices the spectral pinching method and complex interpolation theory once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated goldenthompson inequality to arbitrarily many matrices this inequality is the key ingredient in understanding approximate quantum markov chains and it answers a question from matrix analysis that was open since 1973 ie if liebs triple matrix inequality can be extended to more than three matrices finally we carefully discuss the properties of approximate quantum markov chains and their implications | [['this', 'book', 'is', 'an', 'introduction', 'to', 'quantum', 'markov', 'chains', 'and', 'explains', 'how', 'this', 'concept', 'is', 'connected', 'to', 'the', 'question', 'of', 'how', 'well', 'a', 'lost', 'quantum', 'mechanical', 'system', 'can', 'be', 'recovered', 'from', 'a', 'correlated', 'subsystem', 'to', 'achieve', 'this', 'goal', 'we', 'strengthen', 'the', 'dataprocessing', 'inequality', 'such', 'that', 'it', 'reveals', 'a', 'statement', 'about', 'the', 'reconstruction', 'of', 'lost', 'information', 'the', 'main', 'difficulty', 'in', 'order', 'to', 'understand', 'the', 'behavior', 'of', 'quantum', 'markov', 'chains', 'arises', 'from', 'the', 'fact', 'that', 'quantum', 'mechanical', 'operators', 'do', 'not', 'commute', 'in', 'general', 'as', 'a', 'result', 'we', 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1,802.05478 | Enhanced non-Markovian behavior in quantum walks with Markovian disorder | Non-Markovian quantum effects are typically observed in systems interacting
with structured reservoirs. Discrete-time quantum walks are prime example of
such systems in which, quantum memory arises due to the controlled interaction
between the coin and position degrees of freedom. Here we show that the
information backflow that quantifies memory effects can be enhanced when the
particle is subjected to uncorrelated static or dynamic disorder. The presence
of disorder in the system leads to localization effects in 1-dimensional
quantum walks. We shown that it is possible to infer about the nature of
localization in position space by monitoring the information backflow in the
reduced system. Further, we study other useful properties of quantum walk such
as entanglement, interference and its connection to quantum non-Markovianity.
| quant-ph | nonmarkovian quantum effects are typically observed in systems interacting with structured reservoirs discretetime quantum walks are prime example of such systems in which quantum memory arises due to the controlled interaction between the coin and position degrees of freedom here we show that the information backflow that quantifies memory effects can be enhanced when the particle is subjected to uncorrelated static or dynamic disorder the presence of disorder in the system leads to localization effects in 1dimensional quantum walks we shown that it is possible to infer about the nature of localization in position space by monitoring the information backflow in the reduced system further we study other useful properties of quantum walk such as entanglement interference and its connection to quantum nonmarkovianity | [['nonmarkovian', 'quantum', 'effects', 'are', 'typically', 'observed', 'in', 'systems', 'interacting', 'with', 'structured', 'reservoirs', 'discretetime', 'quantum', 'walks', 'are', 'prime', 'example', 'of', 'such', 'systems', 'in', 'which', 'quantum', 'memory', 'arises', 'due', 'to', 'the', 'controlled', 'interaction', 'between', 'the', 'coin', 'and', 'position', 'degrees', 'of', 'freedom', 'here', 'we', 'show', 'that', 'the', 'information', 'backflow', 'that', 'quantifies', 'memory', 'effects', 'can', 'be', 'enhanced', 'when', 'the', 'particle', 'is', 'subjected', 'to', 'uncorrelated', 'static', 'or', 'dynamic', 'disorder', 'the', 'presence', 'of', 'disorder', 'in', 'the', 'system', 'leads', 'to', 'localization', 'effects', 'in', '1dimensional', 'quantum', 'walks', 'we', 'shown', 'that', 'it', 'is', 'possible', 'to', 'infer', 'about', 'the', 'nature', 'of', 'localization', 'in', 'position', 'space', 'by', 'monitoring', 'the', 'information', 'backflow', 'in', 'the', 'reduced', 'system', 'further', 'we', 'study', 'other', 'useful', 'properties', 'of', 'quantum', 'walk', 'such', 'as', 'entanglement', 'interference', 'and', 'its', 'connection', 'to', 'quantum', 'nonmarkovianity']] | [-0.1769147699659054, 0.22119507553222462, -0.07220404751114244, 0.06263719094990884, -0.010951628115376442, -0.20253310459703813, 0.017244366163244033, 0.3747259059360599, -0.3119536869651903, -0.27207691034650416, 0.06520017619032746, -0.28748233442959503, -0.19177208927732597, 0.16030502931510165, -0.06954201849601496, 0.057529344247574575, 0.04395424359955075, 0.03826945328070381, -0.02796162832722378, -0.23252650999607957, 0.2979179674047765, 0.06369738839377415, 0.2520623870508185, 0.07830506121944182, 0.07982302206091402, 0.046998744743414284, 0.018733834484364928, 0.04509683846797968, -0.08408435848933159, 0.05769579738711681, 0.21920854315148455, 0.04796322946989439, 0.25415461948444323, -0.4304799387625199, -0.24473045540716104, 0.11297361011147439, 0.1428962132630385, 0.1693601887550099, -0.009690633660742664, -0.35248627785472125, 0.012295827254410682, -0.15892701009969887, -0.11862390721973971, -0.0760144212063614, 0.026421084624291134, 0.0004889140136509649, -0.22523708410591373, 0.10590612013422983, 0.08608189063114531, 0.05341491999664927, 0.019813179392443318, -0.0035398493698851124, 0.0018185426640074428, 0.17708510116269865, -0.016327772377535882, -0.017767814124321064, 0.18025267896492306, -0.1605352647602558, -0.17008606766963877, 0.393420986008236, -0.031168143643535734, -0.23314147822680029, 0.22031683854122713, -0.1624061215017748, -0.10374440854354723, 0.0988017810088378, 0.18366472766833092, 0.04751520964309452, -0.15752868695296746, 0.06234315433634097, 0.014478147650758425, 0.17114550661204792, -0.002769965303652897, 0.184873818105647, 0.20747322171199611, 0.12376913238871404, 0.07910762432909654, 0.21291479196473276, -0.08744606212144945, -0.21285664645919, -0.2494602101718689, -0.16075577583103404, -0.2298607309159588, 0.11796677588462466, -0.09605653020643205, -0.14899962376192688, 0.36349130041397565, 0.22756418921488783, 0.1413811560951143, -0.01660364478489581, 0.250687296589367, 0.13029850299216475, 0.04896184254997993, 0.05536513491268686, 0.19834008130313055, 0.1503056379099475, 0.0625285496140217, -0.29055909618992753, 0.09804078821107988, -0.00268196163138723] |
1,802.05479 | Voros symbols as cluster coordinates | We show that the Borel sums of the Voros symbols considered in the theory of
exact WKB analysis arise naturally as Fock-Goncharov coordinates of framed
$PGL_2(\mathbb{C})$-local systems on a marked bordered surface. Using this
result, we show that these Borel sums can be meromorphically continued to any
point of $\mathbb{C}^*$, and we prove an asymptotic property of the monodromy
map introduced in collaboration with Tom Bridgeland.
| math.CA hep-th math.GT | we show that the borel sums of the voros symbols considered in the theory of exact wkb analysis arise naturally as fockgoncharov coordinates of framed pgl_2mathbbclocal systems on a marked bordered surface using this result we show that these borel sums can be meromorphically continued to any point of mathbbc and we prove an asymptotic property of the monodromy map introduced in collaboration with tom bridgeland | [['we', 'show', 'that', 'the', 'borel', 'sums', 'of', 'the', 'voros', 'symbols', 'considered', 'in', 'the', 'theory', 'of', 'exact', 'wkb', 'analysis', 'arise', 'naturally', 'as', 'fockgoncharov', 'coordinates', 'of', 'framed', 'pgl_2mathbbclocal', 'systems', 'on', 'a', 'marked', 'bordered', 'surface', 'using', 'this', 'result', 'we', 'show', 'that', 'these', 'borel', 'sums', 'can', 'be', 'meromorphically', 'continued', 'to', 'any', 'point', 'of', 'mathbbc', 'and', 'we', 'prove', 'an', 'asymptotic', 'property', 'of', 'the', 'monodromy', 'map', 'introduced', 'in', 'collaboration', 'with', 'tom', 'bridgeland']] | [-0.21178901326627686, 0.054452038708796655, -0.16288163719268944, 0.08144789001940247, -0.05323346283000249, -0.06380889205835187, 0.05625489642306303, 0.3255933488969906, -0.3360684633255005, -0.19099240876161136, 0.07592983030570814, -0.2311340688683021, -0.24627189209254888, 0.18952844025423893, -0.1654560782158604, 0.04489419252540056, 0.07482600952498615, 0.037861879413517624, -0.12171754607071097, -0.2846260401635216, 0.39123945363009205, -0.0427871331715813, 0.18274692116448513, 0.059602891968993044, 0.07222762037641726, 0.0283373382802193, -0.06020585030603867, -0.0027390099560412077, -0.15123038257655796, 0.11703256119329196, 0.3044190087964615, 0.1198947214987129, 0.17240417261536306, -0.3938592304403965, -0.15713479028155025, 0.17376596978507364, 0.16600689012557268, 0.019159066118299962, -0.00371377995201888, -0.34313255210335436, 0.0892575673544063, -0.19666518981640155, -0.1916869873037705, -0.09209520777042668, -0.00678001159372238, 0.06594202853739262, -0.22118081080082516, -0.005352350181111923, 0.10562958740271054, 0.08854750401985187, -0.051673374511301516, -0.1041467534736372, -0.061890833674428554, 0.0961455252666313, 0.05639026321184177, 0.06668175932449791, 0.060516944635086334, -0.04427918816128602, -0.1280216666457888, 0.3330972784843582, -0.08390794353774533, -0.24045932645408008, 0.11706863905822572, -0.21144443523998444, -0.2012714903658399, 0.08557131476700305, 0.07640378971655781, 0.15619133228364473, -0.03662583681826408, 0.18363569103664934, -0.11394998663319991, 0.0771699864439702, 0.17720812573455846, -0.023412974427740735, 0.17186927584787973, 0.020966375812601586, 0.05351124208133954, 0.1587707708786743, 0.007308578136591957, -0.08601139867678284, -0.34450581550884707, -0.18372029225664357, -0.1522226700702539, 0.134265272005891, -0.13045402902084438, -0.24344335980713366, 0.329433191424379, 0.09451348481413263, 0.20376184979596965, 0.12705913659973214, 0.19177420949205182, 0.15262429056366764, 0.04624785568135289, 0.005762742449027988, 0.14462312534451485, 0.16874190992675722, 0.0015935642931323784, -0.15316848367667543, -0.042620022000315096, 0.241679018148436] |
1,802.0548 | Evolution of Images with Diversity and Constraints Using a Generator
Network | Evolutionary search has been extensively used to generate artistic images.
Raw images have high dimensionality which makes a direct search for an image
challenging. In previous work this problem has been addressed by using compact
symbolic encodings or by constraining images with priors. Recent developments
in deep learning have enabled a generation of compelling artistic images using
generative networks that encode images with lower-dimensional latent spaces. To
date this work has focused on the generation of images concordant with one or
more classes and transfer of artistic styles. There is currently no work which
uses search in this latent space to generate images scoring high or low
aesthetic measures. In this paper we use evolutionary methods to search for
images in two datasets, faces and butterflies, and demonstrate the effect of
optimising aesthetic feature scores in one or two dimensions. The work gives a
preliminary indication of which feature measures promote the most interesting
images and how some of these measures interact.
| cs.NE | evolutionary search has been extensively used to generate artistic images raw images have high dimensionality which makes a direct search for an image challenging in previous work this problem has been addressed by using compact symbolic encodings or by constraining images with priors recent developments in deep learning have enabled a generation of compelling artistic images using generative networks that encode images with lowerdimensional latent spaces to date this work has focused on the generation of images concordant with one or more classes and transfer of artistic styles there is currently no work which uses search in this latent space to generate images scoring high or low aesthetic measures in this paper we use evolutionary methods to search for images in two datasets faces and butterflies and demonstrate the effect of optimising aesthetic feature scores in one or two dimensions the work gives a preliminary indication of which feature measures promote the most interesting images and how some of these measures interact | [['evolutionary', 'search', 'has', 'been', 'extensively', 'used', 'to', 'generate', 'artistic', 'images', 'raw', 'images', 'have', 'high', 'dimensionality', 'which', 'makes', 'a', 'direct', 'search', 'for', 'an', 'image', 'challenging', 'in', 'previous', 'work', 'this', 'problem', 'has', 'been', 'addressed', 'by', 'using', 'compact', 'symbolic', 'encodings', 'or', 'by', 'constraining', 'images', 'with', 'priors', 'recent', 'developments', 'in', 'deep', 'learning', 'have', 'enabled', 'a', 'generation', 'of', 'compelling', 'artistic', 'images', 'using', 'generative', 'networks', 'that', 'encode', 'images', 'with', 'lowerdimensional', 'latent', 'spaces', 'to', 'date', 'this', 'work', 'has', 'focused', 'on', 'the', 'generation', 'of', 'images', 'concordant', 'with', 'one', 'or', 'more', 'classes', 'and', 'transfer', 'of', 'artistic', 'styles', 'there', 'is', 'currently', 'no', 'work', 'which', 'uses', 'search', 'in', 'this', 'latent', 'space', 'to', 'generate', 'images', 'scoring', 'high', 'or', 'low', 'aesthetic', 'measures', 'in', 'this', 'paper', 'we', 'use', 'evolutionary', 'methods', 'to', 'search', 'for', 'images', 'in', 'two', 'datasets', 'faces', 'and', 'butterflies', 'and', 'demonstrate', 'the', 'effect', 'of', 'optimising', 'aesthetic', 'feature', 'scores', 'in', 'one', 'or', 'two', 'dimensions', 'the', 'work', 'gives', 'a', 'preliminary', 'indication', 'of', 'which', 'feature', 'measures', 'promote', 'the', 'most', 'interesting', 'images', 'and', 'how', 'some', 'of', 'these', 'measures', 'interact']] | [-0.010266394398238418, 0.03705760421036285, -0.10269334448435355, 0.08383693845071657, -0.14097143918201097, -0.1562647166184759, -0.010176570171254607, 0.48193175101905694, -0.22947211824371883, -0.36713525424079024, 0.08704047961545718, -0.2884176391475822, -0.18119718890815376, 0.17743472672171062, -0.12560264644339497, 0.06274294522001672, 0.11225755882368964, 0.008479166787439658, -0.05588898990722948, -0.28425036967778006, 0.3578178854084309, 0.0369923965641467, 0.31816868823205613, -0.0019266835908279007, 0.13007273157644603, -0.05422638262116155, -0.10823953532567823, -0.00746254476069697, -0.07513232436915895, 0.21033507520203581, 0.32776907548296874, 0.21592577760119314, 0.3051675050576896, -0.39991405244663725, -0.24852770567371477, 0.12723287842293948, 0.13008780870586634, 0.10046572138813689, -0.116548248498868, -0.33216941825050955, 0.04727350528076015, -0.11188768130658125, 0.023864372706696117, -0.15621910220081056, 0.022256806530891977, -0.04732926869491851, -0.2578758178681227, -0.0017208697785979804, 0.07052018658120048, 0.10129347596501495, -0.042360993419819866, -0.11853273725137115, 0.015537363324705282, 0.1707365295453066, 0.047676516356188116, 0.07966504360687125, 0.07621092587798535, -0.20696771785079351, -0.18928547742644347, 0.3833734446555882, -0.03845944963855508, -0.21645623831980987, 0.24947385224341243, -0.08562561264549048, -0.17146960693629987, 0.12019451614325567, 0.21087938119990773, 0.14487597987596176, -0.1548286008441614, -0.004634966602208334, -0.05489179544886689, 0.17483621322331422, 0.089544435457131, 0.026969264916081072, 0.22630162913651194, 0.21506645928286475, 0.010750490574189175, 0.15754768164127053, -0.12270225760567198, -0.02948436105191236, -0.1448281668011605, -0.13798379445632483, -0.20414997210703145, -0.00544036682235238, -0.05462233242050624, -0.15103217043890904, 0.41104044026212283, 0.22995745025598158, 0.21757573868653932, 0.036163117388050635, 0.33459689888821476, 0.01947891845707034, 0.14279207785579343, 0.025433972647505593, 0.18925943385244112, 0.019444964995699716, 0.10975457845186745, -0.08880285415970893, 0.09679460725790166, 0.04573171858583795] |
1,802.05481 | Chaos in Kuramoto oscillator networks | Kuramoto oscillators are widely used to explain collective phenomena in
networks of coupled oscillatory units. We show that simple networks of two
populations with a generic coupling scheme, where both coupling strengths and
phase lags between and within populations are distinct, can exhibit chaotic
dynamics as conjectured by Ott and Antonsen [Chaos, 18, 037113 (2008)]. These
chaotic mean-field dynamics arise universally across network size, from the
continuum limit of infinitely many oscillators down to very small networks with
just two oscillators per population. Hence, complicated dynamics are expected
even in the simplest description of oscillator networks.
| nlin.CD math.DS nlin.AO | kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units we show that simple networks of two populations with a generic coupling scheme where both coupling strengths and phase lags between and within populations are distinct can exhibit chaotic dynamics as conjectured by ott and antonsen chaos 18 037113 2008 these chaotic meanfield dynamics arise universally across network size from the continuum limit of infinitely many oscillators down to very small networks with just two oscillators per population hence complicated dynamics are expected even in the simplest description of oscillator networks | [['kuramoto', 'oscillators', 'are', 'widely', 'used', 'to', 'explain', 'collective', 'phenomena', 'in', 'networks', 'of', 'coupled', 'oscillatory', 'units', 'we', 'show', 'that', 'simple', 'networks', 'of', 'two', 'populations', 'with', 'a', 'generic', 'coupling', 'scheme', 'where', 'both', 'coupling', 'strengths', 'and', 'phase', 'lags', 'between', 'and', 'within', 'populations', 'are', 'distinct', 'can', 'exhibit', 'chaotic', 'dynamics', 'as', 'conjectured', 'by', 'ott', 'and', 'antonsen', 'chaos', '18', '037113', '2008', 'these', 'chaotic', 'meanfield', 'dynamics', 'arise', 'universally', 'across', 'network', 'size', 'from', 'the', 'continuum', 'limit', 'of', 'infinitely', 'many', 'oscillators', 'down', 'to', 'very', 'small', 'networks', 'with', 'just', 'two', 'oscillators', 'per', 'population', 'hence', 'complicated', 'dynamics', 'are', 'expected', 'even', 'in', 'the', 'simplest', 'description', 'of', 'oscillator', 'networks']] | [-0.17907272800221108, 0.20206608624236347, -0.03665969017310999, 0.09146449493709952, 0.02504429307979687, -0.21747463908104692, 0.01687874007135785, 0.36187310062814504, -0.2560847804464477, -0.3070036464099151, 0.03906667749834014, -0.2539075568590003, -0.2534134133214441, 0.19886061081585163, -0.019190335444970213, 0.0004855285903128485, 0.04042001961109539, -0.0099818006856367, 0.04085726182286938, -0.18994864776808149, 0.2633059077804016, -0.02588240656768903, 0.2732821785005702, -0.05500128844869323, 0.08927956094339606, -0.08393167330844638, 0.07125053889952444, 0.024500790574772207, -0.06282440829371201, 0.05127487606902529, 0.26881564349362935, 0.039701863405449934, 0.25822964213633287, -0.4676879853165398, -0.2565924087539315, 0.1418611839908408, 0.19742830368583478, 0.15483676891987366, 0.05969760943238119, -0.2794281899817482, -0.025375528105845053, -0.18500980051855245, -0.13663253945317896, -0.12297716016231182, 0.05449137563118711, 0.10217779396528688, -0.23634302919284286, 0.11532235268775064, 0.0397397878356666, 0.07972957800181273, 0.007455807572114281, -0.043367634828124814, -0.05231452885830853, 0.1382451241806848, 0.0028894050240827105, -0.05042150196580527, 0.11486075240827631, -0.09919176349649206, -0.12706423023155367, 0.3448676122740532, -0.08698325862375593, -0.1406434183785071, 0.28333391881218023, -0.1422318991923627, -0.1620709133373263, 0.13811766226232672, 0.16704367650769805, 0.05467946192220552, -0.17469172126341923, 0.03285703419836258, 0.008262319141067564, 0.1938467312429566, 0.07127939202230966, 0.06992272626666818, 0.20625833990440393, 0.1896957676508464, -0.009240583517263682, 0.10389535733944892, -0.038877646050726376, -0.24463419201007733, -0.19786568700995608, 0.016620069882871274, -0.16730912427495545, 0.0767519871587865, -0.1336074874472312, -0.16442959377309307, 0.3921727430704702, 0.13106746684449413, 0.21010092571183728, 0.07302802085390188, 0.20761774168446814, 0.08971809686894024, 0.05045025524062415, 0.0974874377134256, 0.2852909086747483, 0.18818579442692376, 0.09586545718290533, -0.20273414527522013, 0.012558154538661862, 0.03065867256373167] |
1,802.05482 | DMRG simulations of SU(N) Heisenberg chains using standard Young
tableaux: fundamental representation and comparison with finite-size Bethe
ansatz | We develop an efficient method to perform density matrix renormalization
group simulations of the SU(N) Heisenberg chain with open boundary conditions
taking full advantage of the SU(N) symmetry of the problem. This method is an
extension of the method previously developed for exact diagonalizations and
relies on a systematic use of the basis of standard Young tableaux.
Concentrating on the model with the fundamental representation at each site
(i.e. one particle per site in the fermionic formulation), we have benchmarked
our results for the ground state energy up to N = 8 and up to 420 sites by
comparing them with Bethe ansatz results on open chains, for which we have
derived and solved the Bethe ansatz equations. The agreement for the ground
state energy is excellent for SU(3) (12 digits). It decreases with N , but it
is still satisfactory for N = 8 (6 digits). Central charges c are also
extracted from the entanglement entropy using the Calabrese-Cardy formula, and
agree with the theoretical values expected from the SU(N)1 Wess-Zumino-Witten
CFTs.
| cond-mat.str-el | we develop an efficient method to perform density matrix renormalization group simulations of the sun heisenberg chain with open boundary conditions taking full advantage of the sun symmetry of the problem this method is an extension of the method previously developed for exact diagonalizations and relies on a systematic use of the basis of standard young tableaux concentrating on the model with the fundamental representation at each site ie one particle per site in the fermionic formulation we have benchmarked our results for the ground state energy up to n 8 and up to 420 sites by comparing them with bethe ansatz results on open chains for which we have derived and solved the bethe ansatz equations the agreement for the ground state energy is excellent for su3 12 digits it decreases with n but it is still satisfactory for n 8 6 digits central charges c are also extracted from the entanglement entropy using the calabresecardy formula and agree with the theoretical values expected from the sun1 wesszuminowitten cfts | [['we', 'develop', 'an', 'efficient', 'method', 'to', 'perform', 'density', 'matrix', 'renormalization', 'group', 'simulations', 'of', 'the', 'sun', 'heisenberg', 'chain', 'with', 'open', 'boundary', 'conditions', 'taking', 'full', 'advantage', 'of', 'the', 'sun', 'symmetry', 'of', 'the', 'problem', 'this', 'method', 'is', 'an', 'extension', 'of', 'the', 'method', 'previously', 'developed', 'for', 'exact', 'diagonalizations', 'and', 'relies', 'on', 'a', 'systematic', 'use', 'of', 'the', 'basis', 'of', 'standard', 'young', 'tableaux', 'concentrating', 'on', 'the', 'model', 'with', 'the', 'fundamental', 'representation', 'at', 'each', 'site', 'ie', 'one', 'particle', 'per', 'site', 'in', 'the', 'fermionic', 'formulation', 'we', 'have', 'benchmarked', 'our', 'results', 'for', 'the', 'ground', 'state', 'energy', 'up', 'to', 'n', '8', 'and', 'up', 'to', '420', 'sites', 'by', 'comparing', 'them', 'with', 'bethe', 'ansatz', 'results', 'on', 'open', 'chains', 'for', 'which', 'we', 'have', 'derived', 'and', 'solved', 'the', 'bethe', 'ansatz', 'equations', 'the', 'agreement', 'for', 'the', 'ground', 'state', 'energy', 'is', 'excellent', 'for', 'su3', '12', 'digits', 'it', 'decreases', 'with', 'n', 'but', 'it', 'is', 'still', 'satisfactory', 'for', 'n', '8', '6', 'digits', 'central', 'charges', 'c', 'are', 'also', 'extracted', 'from', 'the', 'entanglement', 'entropy', 'using', 'the', 'calabresecardy', 'formula', 'and', 'agree', 'with', 'the', 'theoretical', 'values', 'expected', 'from', 'the', 'sun1', 'wesszuminowitten', 'cfts']] | [-0.0775048855541493, 0.11160619465021335, -0.05417348418114296, 0.06194020579432082, -0.013422258788555422, -0.14371067874736207, 0.06822272131411249, 0.3600430892780423, -0.19642155774156836, -0.3282766779336859, 0.10508935556212878, -0.3125292610486641, -0.05183153697974322, 0.17872556962059152, 0.038415202029350705, 0.051957813765500974, 0.09469138765159775, 0.09517613689360373, -0.10617898626472144, -0.2597000105553033, 0.27694892857141573, 0.05277274311246241, 0.2785227892564281, 0.030354868732940625, 0.10109387290294228, 0.012275534876457909, 0.008117163786664605, -0.02357177081901361, -0.14603689271710155, 0.14148279611211312, 0.19885833281612791, 0.05604589286479442, 0.17155267006772407, -0.42549593898412935, -0.15771592780947685, 0.05017559105420814, 0.14816908113785116, 0.15741137086674023, -0.021956811187213616, -0.2978880997610224, 0.08000937993638217, -0.2053040383493199, -0.18046384200398974, -0.08060604767901275, 0.016679864724659745, -0.029336914811831188, -0.25919302044545905, 0.09039578331233797, 0.0001057837062570102, 0.08345957248307326, -0.08348022167920136, -0.17854110012378763, -0.005980364741374027, 0.1425731699811021, 0.047242365842548144, 0.0653861881535062, 0.07732812217505211, -0.1080419950420037, -0.10658945952240816, 0.3623419581775499, -0.04657114241546129, -0.2094184600861113, 0.17692136774798306, -0.11813625160549932, -0.1578096797963714, 0.1436790850424372, 0.062453974284889066, 0.10602394575527048, -0.12522524673053448, 0.14322731409441022, -0.08785284209434929, 0.15895840938011294, 0.024099945000318042, -0.018957697452595526, 0.16506113672409864, 0.13177855217500645, 0.036571486946195365, 0.13821359559729257, -0.06816078465147739, -0.14330591492300085, -0.297993821595275, -0.13913589240914648, -0.20991282083285862, 0.05948481630424366, -0.11690519502735697, -0.12827686960535015, 0.3672239964718328, 0.14845364533266012, 0.17410211169335527, 0.08096826273797299, 0.22588360152371667, 0.1249652887133005, 0.07192208671408212, 0.09586397453163312, 0.18334461562883328, 0.17053278652978512, 0.047628379522768015, -0.24481896431294872, -0.0353231648051673, 0.14624397918472395] |
1,802.05483 | Extensive study of electron acceleration by relativistic surface
plasmons | The excitation of surface plasmons with ultra-intense ($I\sim 5\times
10^{19}$ W/cm$^2$), high contrast ($\sim 10^{12}$) laser pulses on
periodically-modulated solid targets has been recently demonstrated to produce
collimated bunches of energetic electrons along the target surface [Fedeli et
al., Phys. Rev. Lett. 116, 5001 (2016)]. Here we report an extensive
experimental and numerical study aimed to a complete characterization of the
acceleration mechanism, demonstrating its robustness and promising
characteristics for an electron source. By comparing different grating
structures, we identify the relevant parameters to optimize the acceleration
and obtain bunches of $\sim 650$ pC of charge at several MeV of energy with
blazed gratings.
| physics.plasm-ph | the excitation of surface plasmons with ultraintense isim 5times 1019 wcm2 high contrast sim 1012 laser pulses on periodicallymodulated solid targets has been recently demonstrated to produce collimated bunches of energetic electrons along the target surface fedeli et al phys rev lett 116 5001 2016 here we report an extensive experimental and numerical study aimed to a complete characterization of the acceleration mechanism demonstrating its robustness and promising characteristics for an electron source by comparing different grating structures we identify the relevant parameters to optimize the acceleration and obtain bunches of sim 650 pc of charge at several mev of energy with blazed gratings | [['the', 'excitation', 'of', 'surface', 'plasmons', 'with', 'ultraintense', 'isim', '5times', '1019', 'wcm2', 'high', 'contrast', 'sim', '1012', 'laser', 'pulses', 'on', 'periodicallymodulated', 'solid', 'targets', 'has', 'been', 'recently', 'demonstrated', 'to', 'produce', 'collimated', 'bunches', 'of', 'energetic', 'electrons', 'along', 'the', 'target', 'surface', 'fedeli', 'et', 'al', 'phys', 'rev', 'lett', '116', '5001', '2016', 'here', 'we', 'report', 'an', 'extensive', 'experimental', 'and', 'numerical', 'study', 'aimed', 'to', 'a', 'complete', 'characterization', 'of', 'the', 'acceleration', 'mechanism', 'demonstrating', 'its', 'robustness', 'and', 'promising', 'characteristics', 'for', 'an', 'electron', 'source', 'by', 'comparing', 'different', 'grating', 'structures', 'we', 'identify', 'the', 'relevant', 'parameters', 'to', 'optimize', 'the', 'acceleration', 'and', 'obtain', 'bunches', 'of', 'sim', '650', 'pc', 'of', 'charge', 'at', 'several', 'mev', 'of', 'energy', 'with', 'blazed', 'gratings']] | [-0.07776651006119634, 0.1810000811918815, -0.011520030266306932, -0.01954338693984522, -0.028047276763934915, -0.10701782188550071, 0.03631823813515598, 0.4682017733598381, -0.12982217923204586, -0.40842623153285496, -0.047515649556462626, -0.3165181658990247, -0.018642518750744536, 0.2737968259353136, -0.04136644352625296, 0.0520682323230114, 0.02658810208153739, -0.11556755012981774, -0.04326601817444401, -0.19554535318923283, 0.15830148689593504, 0.19891287605232985, 0.3039047105613083, 0.12373370814670637, 0.14991625381217707, -0.023057024729284413, 0.030568570233158118, -0.10074699337331994, -0.1942208332678719, 0.04682154893350688, 0.1943579302576271, 0.012331825647123375, 0.2431336052543981, -0.45501570112424566, -0.2505019368712329, 0.0006318065175081341, 0.1067176785464715, 0.07741137459824422, -0.093548426030484, -0.31950404887422196, 0.07513389535004146, -0.1893908082986775, -0.16914462011524486, -0.05943022847392605, 0.08360701732030049, 0.07541854040091406, -0.2592135023832032, 0.06329833939038579, -0.01933164531093778, 0.04348422528145093, -0.04209031297223986, -0.080607659346198, -0.01426619594211428, -0.051321174411410556, 0.02228111471727635, 0.10420619121309622, 0.165290648795809, -0.05216711414164131, -0.11745857793693114, 0.3536264305952394, -0.021601692387987904, -0.030926139311507814, 0.21770242831299028, -0.17100458282941175, -0.035931454870840804, 0.23318078793874644, 0.16376682607687612, 0.16506271801201752, -0.13209634868753622, 0.012238277882468679, -0.009012996531046421, 0.2073914784648754, 0.15931969748140828, 0.06776332309089818, 0.21710215130983626, 0.19761907233341228, -0.010175225261634993, 0.09314617463975276, -0.19331680344263977, 0.039006639341484683, -0.2424715749503484, -0.13514258768364282, -0.15964075862384827, 0.07441106152458532, -0.014013238033778215, -0.07691207008201231, 0.4385340436569695, 0.157079906397255, 0.19794950293358957, -0.0655688209989271, 0.2591205877025874, 0.0805655395503617, -0.033424532793697365, 0.09982637897387002, 0.2785928333924125, 0.17998301186734467, 0.06241635331721271, -0.22766368563549177, -0.04993211692741629, -0.03214087851743386] |
1,802.05484 | On the P vs NP question: a proof of inequality | The analysis discussed in this paper is based on a well-known NP-complete
problem which is called satisfiability problem or SAT. From SAT a new
NP-complete problem is derived, which is described by a Boolean function called
core function. In this paper it is proved that the cost of the minimal
implementation of core function increases with n exponentially. Since the
synthesis of core function is an NP-complete problem, this result is equivalent
to proving that P and NP do not coincide.
| cs.CC | the analysis discussed in this paper is based on a wellknown npcomplete problem which is called satisfiability problem or sat from sat a new npcomplete problem is derived which is described by a boolean function called core function in this paper it is proved that the cost of the minimal implementation of core function increases with n exponentially since the synthesis of core function is an npcomplete problem this result is equivalent to proving that p and np do not coincide | [['the', 'analysis', 'discussed', 'in', 'this', 'paper', 'is', 'based', 'on', 'a', 'wellknown', 'npcomplete', 'problem', 'which', 'is', 'called', 'satisfiability', 'problem', 'or', 'sat', 'from', 'sat', 'a', 'new', 'npcomplete', 'problem', 'is', 'derived', 'which', 'is', 'described', 'by', 'a', 'boolean', 'function', 'called', 'core', 'function', 'in', 'this', 'paper', 'it', 'is', 'proved', 'that', 'the', 'cost', 'of', 'the', 'minimal', 'implementation', 'of', 'core', 'function', 'increases', 'with', 'n', 'exponentially', 'since', 'the', 'synthesis', 'of', 'core', 'function', 'is', 'an', 'npcomplete', 'problem', 'this', 'result', 'is', 'equivalent', 'to', 'proving', 'that', 'p', 'and', 'np', 'do', 'not', 'coincide']] | [-0.09289337687746242, 0.06466328458056389, -0.0553589594538933, 0.09629957475067105, -0.11054517236756689, -0.16742101096099726, 0.04846693850467326, 0.3325057645374334, -0.33701027603245076, -0.29875028301835244, 0.12845024837031502, -0.22564834092433253, -0.19766765949028878, 0.17089191678031865, -0.10335522040402816, 0.07398539326257175, 0.07387271109554502, 0.02599147625014554, -0.04482872236626407, -0.2490187561797714, 0.32637369335646294, 0.002177482516861256, 0.23709091278551905, 0.1190595413201753, 0.07742318489163379, 0.029387080150851865, 0.02817703325899295, 0.07829960893241712, -0.08071603051787041, 0.07461498917172445, 0.2921127311333462, 0.2510655876191586, 0.30477417768036696, -0.3854281078380199, -0.12525391393559582, 0.1706282494440215, 0.1577832841509838, 0.06635353081560705, -0.01520668657893246, -0.18104591004458476, 0.14769655483901317, -0.12825422140447723, -0.09122346068536978, 0.051465657674764964, 0.0992556413244686, -0.032752116326455395, -0.2514470375177485, 0.013196206924700995, 0.14159812480441214, 0.00578416887394808, -0.04379616498107804, -0.1492668863121466, 0.062143612319580564, 0.006323472749050937, 0.0038406419493028044, 0.13429900490172944, 0.06629631057795551, -0.10503781980972875, -0.11848089620930913, 0.39429809287604356, 0.003992896722514688, -0.21502368377498637, 0.11834479712041808, -0.026922627116473002, -0.1868180973059354, 0.11570823353565769, 0.09603506764741959, 0.18910010068182959, -0.12468736767078992, 0.14964944415053505, -0.14462379496084687, 0.25051724620991284, 0.05236649461504486, -0.05595263515679556, 0.11694032889733344, 0.21455698032047094, 0.1409649689032202, 0.24173925945788255, 0.04138278092234683, -0.06703965580320836, -0.26781786107141986, -0.1257861439242131, -0.23387709222044106, 0.016900259752960497, -0.025991954938271427, -0.21598679747685423, 0.3536447009278668, 0.12709423436288847, 0.12519270818634534, 0.1620868465167551, 0.28342977481215825, 0.21245487113655717, 0.057846740899998465, 0.09600224476422609, 0.19044832016605837, 0.12661139844387861, 0.04975646948671819, -0.21271031155871847, 0.11955865896249443, 0.1033285568083096] |
1,802.05485 | Electron drag in ferromagnetic structures separated by an insulating
interface | We consider electron drag in a system of two ferromagnetic layers separated
by an insulating interface. The source of it is expected to be magnon-electron
interactions. Namely, we assume that the external voltage is applied to the
"active" layer stimulating electric current through this layer. In its turn,
the scattering of the current-carrying electrons by magnons leads to a magnon
drag current within this layer. The 3-magnons interactions between magnons in
the two layers (being of non-local nature) lead to magnon drag within the
"passive" layer which, correspondingly, produce electron drag current via
processes of magnon-electron scattering. We estimate the drag current and
compare it to the phonon-induced one.
| cond-mat.mes-hall cond-mat.supr-con | we consider electron drag in a system of two ferromagnetic layers separated by an insulating interface the source of it is expected to be magnonelectron interactions namely we assume that the external voltage is applied to the active layer stimulating electric current through this layer in its turn the scattering of the currentcarrying electrons by magnons leads to a magnon drag current within this layer the 3magnons interactions between magnons in the two layers being of nonlocal nature lead to magnon drag within the passive layer which correspondingly produce electron drag current via processes of magnonelectron scattering we estimate the drag current and compare it to the phononinduced one | [['we', 'consider', 'electron', 'drag', 'in', 'a', 'system', 'of', 'two', 'ferromagnetic', 'layers', 'separated', 'by', 'an', 'insulating', 'interface', 'the', 'source', 'of', 'it', 'is', 'expected', 'to', 'be', 'magnonelectron', 'interactions', 'namely', 'we', 'assume', 'that', 'the', 'external', 'voltage', 'is', 'applied', 'to', 'the', 'active', 'layer', 'stimulating', 'electric', 'current', 'through', 'this', 'layer', 'in', 'its', 'turn', 'the', 'scattering', 'of', 'the', 'currentcarrying', 'electrons', 'by', 'magnons', 'leads', 'to', 'a', 'magnon', 'drag', 'current', 'within', 'this', 'layer', 'the', '3magnons', 'interactions', 'between', 'magnons', 'in', 'the', 'two', 'layers', 'being', 'of', 'nonlocal', 'nature', 'lead', 'to', 'magnon', 'drag', 'within', 'the', 'passive', 'layer', 'which', 'correspondingly', 'produce', 'electron', 'drag', 'current', 'via', 'processes', 'of', 'magnonelectron', 'scattering', 'we', 'estimate', 'the', 'drag', 'current', 'and', 'compare', 'it', 'to', 'the', 'phononinduced', 'one']] | [-0.16610194550378732, 0.20469632767762286, -0.03525476028853855, 0.0010439154726487618, -0.03595870762580523, -0.12303182626298319, 0.07116329307879184, 0.3511763088819053, -0.3298465683883815, -0.2835648380806325, -0.006161362522376563, -0.32748862984805815, -0.08278559299058677, 0.17649403048886192, 0.041846361576096607, -0.03291110556488598, -0.019818337729062746, -0.02724131594489639, -0.0008763892433813049, -0.19208322993384813, 0.325199274553193, 0.016416417796992593, 0.302400006371533, 0.1110101430870903, 0.08478679787428216, 0.009500224800797662, 0.07215683449747437, -0.0006791964061213312, -0.08296966144452098, 0.07566100306252742, 0.22255306371867103, -0.10309865948295703, 0.19274067345799673, -0.5496167975512368, -0.21605897299014032, -0.0027056486319957506, 0.1643434251557294, 0.13889675195888332, -0.047596588722188714, -0.2395945341171076, 0.0018992384796513728, -0.20627677830419056, -0.07569101221721482, -0.010419538619721102, 0.011507292597175197, 0.006381508588135519, -0.28327480364694363, 0.10640911745010978, 0.08853230250598346, -0.01806028528328709, -0.06564135012255672, -0.0557308040194955, -0.07125953641823596, 0.11782434479688096, 0.10363408020499197, 0.055231940091794565, 0.2051249502778605, -0.17643840839931121, -0.0818316020951089, 0.29897562638615016, -0.0873261683693811, -0.18656022448299658, 0.22112835985090998, -0.14444853133884156, 0.037856629894425474, 0.14686279635255536, 0.166125016825929, 0.06790207535043548, -0.19014815901647564, 0.01927071037061978, -0.02200882489732639, 0.1444439624028746, 0.039384730694884504, 0.014797213465768707, 0.27360743870182586, 0.19637520449167048, 0.0610908943625098, 0.18105702318522768, -0.1413484842352638, -0.04345857370989742, -0.24312747556595476, -0.1483383209852036, -0.16786498514314493, 0.047032192125226614, -0.03640123391165549, -0.16517491971953185, 0.3914309899167468, 0.230407884016771, 0.20932603113922393, -0.07175469795065173, 0.3332693028022294, 0.166946579762562, 0.10644341983694446, 0.07399226562982356, 0.3332866464086153, 0.15832901750993053, 0.12242228423538445, -0.290938067219772, 0.0638543931170177, 0.0443311786296329] |
1,802.05486 | An autonomous single-piston engine with a quantum rotor | Pistons are elementary components of a wide variety of thermal engines,
allowing to convert input fuel into rotational motion. Here, we propose a
single-piston engine where the rotational degree of freedom is effectively
realized by the flux of a Josephson loop -- a quantum rotor -- while the
working volume corresponds to the effective length of a superconducting
resonator. Our autonomous design implements a Carnot cycle, relies solely on
standard thermal baths and can be implemented with circuit quantum
electrodynamics. We demonstrate how the engine is able to extract a net
positive work via its built-in synchronicity using a filter cavity as an
effective valve, eliminating the need for external control.
| quant-ph | pistons are elementary components of a wide variety of thermal engines allowing to convert input fuel into rotational motion here we propose a singlepiston engine where the rotational degree of freedom is effectively realized by the flux of a josephson loop a quantum rotor while the working volume corresponds to the effective length of a superconducting resonator our autonomous design implements a carnot cycle relies solely on standard thermal baths and can be implemented with circuit quantum electrodynamics we demonstrate how the engine is able to extract a net positive work via its builtin synchronicity using a filter cavity as an effective valve eliminating the need for external control | [['pistons', 'are', 'elementary', 'components', 'of', 'a', 'wide', 'variety', 'of', 'thermal', 'engines', 'allowing', 'to', 'convert', 'input', 'fuel', 'into', 'rotational', 'motion', 'here', 'we', 'propose', 'a', 'singlepiston', 'engine', 'where', 'the', 'rotational', 'degree', 'of', 'freedom', 'is', 'effectively', 'realized', 'by', 'the', 'flux', 'of', 'a', 'josephson', 'loop', 'a', 'quantum', 'rotor', 'while', 'the', 'working', 'volume', 'corresponds', 'to', 'the', 'effective', 'length', 'of', 'a', 'superconducting', 'resonator', 'our', 'autonomous', 'design', 'implements', 'a', 'carnot', 'cycle', 'relies', 'solely', 'on', 'standard', 'thermal', 'baths', 'and', 'can', 'be', 'implemented', 'with', 'circuit', 'quantum', 'electrodynamics', 'we', 'demonstrate', 'how', 'the', 'engine', 'is', 'able', 'to', 'extract', 'a', 'net', 'positive', 'work', 'via', 'its', 'builtin', 'synchronicity', 'using', 'a', 'filter', 'cavity', 'as', 'an', 'effective', 'valve', 'eliminating', 'the', 'need', 'for', 'external', 'control']] | [-0.1516845349429382, 0.16789408263233513, -0.06683488604526415, -0.019024374056176317, -0.11647241254319886, -0.19256260762146363, 0.07229300593651176, 0.37383298898391704, -0.24621376767323386, -0.3184143867240184, 0.0663705398587303, -0.22333312726415763, -0.08305914277971843, 0.26231201506581986, -0.05763844106695615, 0.03400609766389674, 0.014470780620791225, 0.044955641548666686, -0.016893764172251663, -0.1454943214215476, 0.25434393093800517, 0.05771842687735679, 0.2807623835655654, 0.04024162643623573, 0.1970922941410983, -0.03553949814307055, 0.045986504630289145, 0.03631115065406818, -0.05235218102569451, 0.11945972585494423, 0.21523311214857838, 0.0364246129239392, 0.24762120545346988, -0.46936086451427805, -0.23005660750075346, 0.09065317940743019, 0.13089397200814415, 0.15126524725066567, -0.020299972156795708, -0.23703267145039583, 0.03642937117601158, -0.20771712151313462, -0.09816829916693408, -0.10009811194012636, -0.0038418916261030566, 0.008657387754754853, -0.2585941699885384, 0.007470134772356013, 0.08653596493867452, 0.06619730293405829, 0.010428374537258167, -0.024380309541744215, -0.00987436888627363, 0.12893131380917988, -0.0731391423140411, 0.021050450044977305, 0.2665117745787871, -0.10403523148744609, -0.14220910762540168, 0.38743511508046474, -0.06939337209418968, -0.2053538364362558, 0.14884503871198157, -0.044079419635063795, -0.03543592642246814, 0.10194288842117034, 0.15929972126873004, 0.07992784681738596, -0.19561327746810597, 0.06763837894336407, 0.02482217773622661, 0.22561861575943315, 0.01905960345821869, 0.01747717625564999, 0.2746671979936461, 0.19857021718484316, 0.059384006633317096, 0.22813229159186854, -0.08107968838238674, -0.1007824606548874, -0.31793411114442816, -0.17753235769837541, -0.1773823259066342, 0.10188423698181631, -0.08482393506831916, -0.15452273691038568, 0.4161314901214576, 0.15645888310111197, 0.1382304047562044, 0.017004582204444212, 0.34224820219808155, 0.1399913126025004, 0.12709083507824862, 0.08399136565653693, 0.22948775218403036, 0.14334573969137165, 0.09984107250649552, -0.3097314622546374, 0.011937197681550903, 0.0549171553532317] |
1,802.05487 | Shannon entropy and particle decays | We deploy Shannon's information entropy to the distribution of branching
fractions in a particle decay. This serves to quantify how important a given
new reported decay channel is, from the point of view of the information that
it adds to the already known ones. Because the entropy is additive, one can
subdivide the set of channels and discuss, for example, how much information
the discovery of a new decay branching would add; or subdivide the decay
distribution down to the level of individual quantum states (which can be
quickly counted by the phase space). We illustrate the concept with some
examples of experimentally known particle decay distributions.
| hep-ph hep-ex nucl-th | we deploy shannons information entropy to the distribution of branching fractions in a particle decay this serves to quantify how important a given new reported decay channel is from the point of view of the information that it adds to the already known ones because the entropy is additive one can subdivide the set of channels and discuss for example how much information the discovery of a new decay branching would add or subdivide the decay distribution down to the level of individual quantum states which can be quickly counted by the phase space we illustrate the concept with some examples of experimentally known particle decay distributions | [['we', 'deploy', 'shannons', 'information', 'entropy', 'to', 'the', 'distribution', 'of', 'branching', 'fractions', 'in', 'a', 'particle', 'decay', 'this', 'serves', 'to', 'quantify', 'how', 'important', 'a', 'given', 'new', 'reported', 'decay', 'channel', 'is', 'from', 'the', 'point', 'of', 'view', 'of', 'the', 'information', 'that', 'it', 'adds', 'to', 'the', 'already', 'known', 'ones', 'because', 'the', 'entropy', 'is', 'additive', 'one', 'can', 'subdivide', 'the', 'set', 'of', 'channels', 'and', 'discuss', 'for', 'example', 'how', 'much', 'information', 'the', 'discovery', 'of', 'a', 'new', 'decay', 'branching', 'would', 'add', 'or', 'subdivide', 'the', 'decay', 'distribution', 'down', 'to', 'the', 'level', 'of', 'individual', 'quantum', 'states', 'which', 'can', 'be', 'quickly', 'counted', 'by', 'the', 'phase', 'space', 'we', 'illustrate', 'the', 'concept', 'with', 'some', 'examples', 'of', 'experimentally', 'known', 'particle', 'decay', 'distributions']] | [-0.0678696979292033, 0.183693698977303, -0.12353444889744866, 0.12541586847945385, -0.07934020926618826, -0.14310519768482197, 0.10979603334312614, 0.2886241383014995, -0.31159485328211406, -0.30065018152731043, 0.10506779031292753, -0.3080123663819003, -0.08791507637807142, 0.16137545124984512, -0.040829733780054285, 0.06435173469656538, 0.043380993331356026, 0.08296648746304144, -0.03158660895717722, -0.24321767682575177, 0.2918455655399327, 0.06522877704870025, 0.23788386940190168, 0.04774479417861483, 0.052768339929562584, -0.011666960892415493, -0.05252540201192426, -0.024293143219786706, -0.1758195252626809, 0.11416306984382377, 0.20005375868423242, 0.18039557101305903, 0.23758707872252458, -0.3563904606293295, -0.17578811052681825, 0.1487475358424099, 0.1838842940856224, 0.13660515488286407, -0.054512900705057606, -0.2969641907436547, 0.07536648194497085, -0.16095274502724827, -0.11533057577385802, -0.08332944118361224, 0.02195002982027341, -0.013270292235277245, -0.2640535227745493, 0.03847798843493807, 0.04665574335893529, -0.03892143113347136, 0.008996504666849483, -0.12078813422540917, -0.010674894732971476, 0.16008839474460024, 0.06921816852909869, -9.105385310521402e-05, 0.18186404223109934, -0.11916204072125952, -0.13597260224067162, 0.3603619933215396, -0.0511135888953963, -0.22622690957352937, 0.17650087626496436, -0.17636067566905764, -0.12114700974861735, 0.1650591177831047, 0.1838676189975465, 0.06473843334677899, -0.16549953161173056, 0.03518962134143651, -0.023116034760235625, 0.17327621241592994, 0.040108064520303334, 0.1085647617066366, 0.2056827299975764, 0.1622923216477872, 0.04337566679726555, 0.21788646682779192, -0.10838289108458106, -0.12206133146918266, -0.3162877003425106, -0.2084255858529011, -0.17712360823300677, 0.08418992849362787, -0.035268225184740785, -0.12260184024360518, 0.39416366522679125, 0.15013952404652314, 0.23685740224721136, 0.058369827266373436, 0.2786856173476744, 0.11485954120694812, 0.0745099351663038, 0.04467025176386967, 0.23597506116167208, 0.14172146910862457, 0.06834662256100885, -0.17050296497949025, 0.10668581468705958, 0.001120776706157583] |
1,802.05488 | Phase and micromotion of Bose-Einstein condensates in a time-averaged
ring trap | Rapidly scanning magnetic and optical dipole traps have been widely utilised
to form time-averaged potentials for ultracold quantum gas experiments. Here we
theoretically and experimentally characterise the dynamic properties of
Bose-Einstein condensates in ring-shaped potentials that are formed by scanning
an optical dipole beam in a circular trajectory. We find that unidirectional
scanning leads to a non-trivial phase profile of the condensate that can be
approximated analytically using the concept of phase imprinting. While the
phase profile is not accessible through in-trap imaging, time-of-flight
expansion manifests clear density signatures of an in-trap phase step in the
condensate, coincident with the instantaneous position of the scanning beam.
The phase step remains significant even when scanning the beam at frequencies
two orders of magnitude larger than the characteristic frequency of the trap.
We map out the phase and density properties of the condensate in the scanning
trap, both experimentally and using numerical simulations, and find excellent
agreement. Furthermore, we demonstrate that bidirectional scanning eliminated
the phase gradient, rendering the system more suitable for coherent matter wave
interferometry.
| cond-mat.quant-gas physics.atom-ph quant-ph | rapidly scanning magnetic and optical dipole traps have been widely utilised to form timeaveraged potentials for ultracold quantum gas experiments here we theoretically and experimentally characterise the dynamic properties of boseeinstein condensates in ringshaped potentials that are formed by scanning an optical dipole beam in a circular trajectory we find that unidirectional scanning leads to a nontrivial phase profile of the condensate that can be approximated analytically using the concept of phase imprinting while the phase profile is not accessible through intrap imaging timeofflight expansion manifests clear density signatures of an intrap phase step in the condensate coincident with the instantaneous position of the scanning beam the phase step remains significant even when scanning the beam at frequencies two orders of magnitude larger than the characteristic frequency of the trap we map out the phase and density properties of the condensate in the scanning trap both experimentally and using numerical simulations and find excellent agreement furthermore we demonstrate that bidirectional scanning eliminated the phase gradient rendering the system more suitable for coherent matter wave interferometry | [['rapidly', 'scanning', 'magnetic', 'and', 'optical', 'dipole', 'traps', 'have', 'been', 'widely', 'utilised', 'to', 'form', 'timeaveraged', 'potentials', 'for', 'ultracold', 'quantum', 'gas', 'experiments', 'here', 'we', 'theoretically', 'and', 'experimentally', 'characterise', 'the', 'dynamic', 'properties', 'of', 'boseeinstein', 'condensates', 'in', 'ringshaped', 'potentials', 'that', 'are', 'formed', 'by', 'scanning', 'an', 'optical', 'dipole', 'beam', 'in', 'a', 'circular', 'trajectory', 'we', 'find', 'that', 'unidirectional', 'scanning', 'leads', 'to', 'a', 'nontrivial', 'phase', 'profile', 'of', 'the', 'condensate', 'that', 'can', 'be', 'approximated', 'analytically', 'using', 'the', 'concept', 'of', 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'matter', 'wave', 'interferometry']] | [-0.15303036373341455, 0.2024086171164111, -0.11726103551419718, 0.018992331574138786, 0.009714432403977428, -0.1307771823794714, 0.03066363346297294, 0.46054855878864015, -0.24068031151496272, -0.26405635091343094, 0.03911674740591219, -0.26872183105974856, -0.10887303888265576, 0.21920827875445997, 0.05680734357663563, 0.08941262181316104, 0.016423167756625584, -0.036571285177820496, -0.09066202405840158, -0.16846972194101129, 0.2767745102622679, 0.06929896743901606, 0.3097996892753456, 0.05586654697411827, 0.10139611927526337, -0.003161662185032453, 0.0456359487838511, 0.03791205887682736, -0.1458422407516212, 0.02037654984742403, 0.20032154381408224, 0.014674600595608354, 0.1910625711668815, -0.4895298020435231, -0.22470524569840303, 0.10206958890227334, 0.2170886588218023, 0.1644211465213448, -0.107595292847088, -0.3084659756720066, -0.009038615989099656, -0.14407351507672242, -0.18223661620968154, -0.14347017117310315, 0.011126658881881408, 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1,802.05489 | Optimal control of the customer dynamics based on marketing policy | We consider an optimal control problem for a non-autonomous model of ODEs
that describes the evolution of the number of customers in some firm. Namely we
study the best marketing strategy. Considering a $L^2$ cost functional, we
establish the existence and uniqueness of optimal solutions, using an inductive
argument to obtain uniqueness on the whole interval from local uniqueness. We
also present some simulation results, based on our model, and compare them with
results we obtain for an $L^1$ cost functional. For the $L^1$ cost functional
the optimal solutions are of bang-bang type and thus easier to implement,
because at every moment possible actions are chosen from a finite set of
possibilities. For the autonomous case of $L^2$ problem, we show the
effectiveness of the optimal control strategy against other formulations of the
problem with simpler controls.
| math.OC | we consider an optimal control problem for a nonautonomous model of odes that describes the evolution of the number of customers in some firm namely we study the best marketing strategy considering a l2 cost functional we establish the existence and uniqueness of optimal solutions using an inductive argument to obtain uniqueness on the whole interval from local uniqueness we also present some simulation results based on our model and compare them with results we obtain for an l1 cost functional for the l1 cost functional the optimal solutions are of bangbang type and thus easier to implement because at every moment possible actions are chosen from a finite set of possibilities for the autonomous case of l2 problem we show the effectiveness of the optimal control strategy against other formulations of the problem with simpler controls | [['we', 'consider', 'an', 'optimal', 'control', 'problem', 'for', 'a', 'nonautonomous', 'model', 'of', 'odes', 'that', 'describes', 'the', 'evolution', 'of', 'the', 'number', 'of', 'customers', 'in', 'some', 'firm', 'namely', 'we', 'study', 'the', 'best', 'marketing', 'strategy', 'considering', 'a', 'l2', 'cost', 'functional', 'we', 'establish', 'the', 'existence', 'and', 'uniqueness', 'of', 'optimal', 'solutions', 'using', 'an', 'inductive', 'argument', 'to', 'obtain', 'uniqueness', 'on', 'the', 'whole', 'interval', 'from', 'local', 'uniqueness', 'we', 'also', 'present', 'some', 'simulation', 'results', 'based', 'on', 'our', 'model', 'and', 'compare', 'them', 'with', 'results', 'we', 'obtain', 'for', 'an', 'l1', 'cost', 'functional', 'for', 'the', 'l1', 'cost', 'functional', 'the', 'optimal', 'solutions', 'are', 'of', 'bangbang', 'type', 'and', 'thus', 'easier', 'to', 'implement', 'because', 'at', 'every', 'moment', 'possible', 'actions', 'are', 'chosen', 'from', 'a', 'finite', 'set', 'of', 'possibilities', 'for', 'the', 'autonomous', 'case', 'of', 'l2', 'problem', 'we', 'show', 'the', 'effectiveness', 'of', 'the', 'optimal', 'control', 'strategy', 'against', 'other', 'formulations', 'of', 'the', 'problem', 'with', 'simpler', 'controls']] | [-0.11303391965636372, -0.013323336544495083, -0.07266089818644317, 0.08574556075308444, -0.08228331623449378, -0.13265029418819252, 0.10697684565560729, 0.36365442808690296, -0.282265320474649, -0.2734623460411808, 0.16420471058380076, -0.2666098509106214, -0.14894769298606111, 0.22389034840217145, -0.09059310343837107, 0.0975333999104825, 0.06126197316874172, 0.050092469934836355, -0.05323201566713651, -0.2556869589951379, 0.3448900463676461, -0.00831934826679691, 0.2512353969003706, 0.026423402528285327, 0.13534204999705518, 0.02802467722289373, -0.002469740763823264, 0.010847135542137345, -0.1707815060013991, 0.1280528578055805, 0.24305451867157035, 0.14832319415439546, 0.35124848455013913, -0.4351619776042202, -0.15191096110935629, 0.12362269291069604, 0.08060592470391498, 0.12274751939511702, -0.05996331596665465, -0.24905363409644007, 0.11603739901690534, -0.1448132644482229, -0.17185100065680206, -0.09813201125119779, -0.011053141750340913, 0.07214580599837223, -0.32482929968948127, 0.052365472912236054, 0.034253076855841016, 0.02209175372305904, -0.1780361896448762, -0.11078860272864138, 0.00028598715082137256, 0.1474550498860215, 0.06965964756664704, -0.026917233453030244, 0.07239431142424621, -0.09239472820675068, -0.15110917148744538, 0.34542491205417325, -0.05430686142785053, -0.24249372527982196, 0.1824710564549764, -0.058806331736463914, -0.13961442208162297, 0.07239957261545053, 0.1713885823103266, 0.1587003418142452, -0.14800294292206964, 0.09516484818776498, -0.05073925190822758, 0.16462429700568862, 0.029616198648637446, 0.028789794213566793, 0.08978395393104667, 0.2017734952977974, 0.20865399509423624, 0.17084292100145937, -0.010164799162120403, -0.10716714660584396, -0.3447763954432015, -0.1390434869235368, -0.13145686104132312, 0.04010406324136866, -0.11809844475370801, -0.13714891659898043, 0.38250099722105657, 0.18107539929201433, 0.15344665658381515, 0.14272249400289388, 0.2602208170115295, 0.13758792232284, -0.027667061055255848, 0.09380709030835406, 0.21326700353486816, 0.0790803123768555, 0.0854524003620511, -0.2529560928504887, 0.05626921787225798, 0.12638444209494287] |
1,802.0549 | Grammar-based Compression of Unranked Trees | We introduce forest straight-line programs (FSLPs) as a compressed
representation of unranked ordered node-labelled trees. FSLPs are based on the
operations of forest algebra and generalize tree straight-line programs. We
compare the succinctness of FSLPs with two other compression schemes for
unranked trees: top dags and tree straight-line programs of first-child/next
sibling encodings. Efficient translations between these formalisms are
provided. Finally, we show that equality of unranked trees in the setting where
certain symbols are associative or commutative can be tested in polynomial
time. This generalizes previous results for testing isomorphism of compressed
unordered ranked trees.
| cs.DS cs.FL | we introduce forest straightline programs fslps as a compressed representation of unranked ordered nodelabelled trees fslps are based on the operations of forest algebra and generalize tree straightline programs we compare the succinctness of fslps with two other compression schemes for unranked trees top dags and tree straightline programs of firstchildnext sibling encodings efficient translations between these formalisms are provided finally we show that equality of unranked trees in the setting where certain symbols are associative or commutative can be tested in polynomial time this generalizes previous results for testing isomorphism of compressed unordered ranked trees | [['we', 'introduce', 'forest', 'straightline', 'programs', 'fslps', 'as', 'a', 'compressed', 'representation', 'of', 'unranked', 'ordered', 'nodelabelled', 'trees', 'fslps', 'are', 'based', 'on', 'the', 'operations', 'of', 'forest', 'algebra', 'and', 'generalize', 'tree', 'straightline', 'programs', 'we', 'compare', 'the', 'succinctness', 'of', 'fslps', 'with', 'two', 'other', 'compression', 'schemes', 'for', 'unranked', 'trees', 'top', 'dags', 'and', 'tree', 'straightline', 'programs', 'of', 'firstchildnext', 'sibling', 'encodings', 'efficient', 'translations', 'between', 'these', 'formalisms', 'are', 'provided', 'finally', 'we', 'show', 'that', 'equality', 'of', 'unranked', 'trees', 'in', 'the', 'setting', 'where', 'certain', 'symbols', 'are', 'associative', 'or', 'commutative', 'can', 'be', 'tested', 'in', 'polynomial', 'time', 'this', 'generalizes', 'previous', 'results', 'for', 'testing', 'isomorphism', 'of', 'compressed', 'unordered', 'ranked', 'trees']] | [-0.14050691856169387, 0.15356994174714936, -0.0394435025163387, 0.12380723931066888, -0.15376654686406255, -0.15326660203894502, 0.07784095855527802, 0.4380379472123949, -0.36874351012765577, -0.27124167872396737, 0.11043763235456457, -0.28344187176737345, -0.10340381566386082, 0.1702031528356632, -0.09535287226746349, 0.08918495422327205, 0.13858064688055924, 0.05726685264687005, -0.05128735523229759, -0.3176942904553327, 0.31415502340777923, -0.009449079515118348, 0.24119316498307805, -0.0670529810785267, 0.07591146588521569, 0.055592510922762906, -0.07068116893550676, 0.10110837580440075, -0.09426029959584795, 0.10000370843826156, 0.36934147819288465, 0.26080957585945724, 0.14642221162977972, -0.43259133734789335, -0.09550554485697495, 0.14583959615740336, 0.12485416787921598, 0.10024894689650912, 0.010810834952434034, -0.2532827354967594, 0.11621876288278911, -0.16329904791751976, 0.061271029473037315, -0.06915940381188289, 0.02001913679077437, 0.03231231515344821, -0.2544712787837182, -0.02471353775870643, 0.1374247818891155, 0.08759114996922251, 0.03237287530577496, -0.17288816847936495, -0.03489402464443916, 0.05595896375659657, -0.09739120367326234, 0.03780086270876621, 0.06272951276286652, -0.0652813952783809, -0.3055966168838112, 0.33247153123742657, -0.034002470389915336, -0.19283439502316085, 0.18555646450258792, -0.09529556117424938, -0.24613516371403085, 0.03468482350244334, 0.17733507623013697, 0.16635623118399004, -0.05529608774538103, 0.1521320898563748, -0.12636417046826529, 0.11530765120528247, 0.21752057568121114, -0.026006418069530475, 0.14039826467633248, 0.1576277178797969, 0.05705835297703743, 0.2523136138640295, 0.05957251735472758, -0.058635164112293796, -0.2247423115419224, -0.13381849536182064, -0.07938158701321012, -0.09145033969053705, -0.18416749761458243, -0.2300418743373532, 0.329035149387231, 0.16512059759544698, 0.17027240496520935, 0.2547811514158782, 0.291258614961254, 0.04198624658226771, 0.07561313044279813, 0.0970318017499889, 0.058961404487490654, 0.14962996147396074, -0.01975702076268039, -0.07867565313844305, 0.09553323802538216, 0.1966204196018608] |
1,802.05491 | Biorthogonal systems on unit interval and zeta dilation operators | An elementary 'quantum-mechanical' derivation of the conditions for a system
of functions to form a Reisz basis of a Hilbert space on a finite interval is
presented.
| math-ph math.MP | an elementary quantummechanical derivation of the conditions for a system of functions to form a reisz basis of a hilbert space on a finite interval is presented | [['an', 'elementary', 'quantummechanical', 'derivation', 'of', 'the', 'conditions', 'for', 'a', 'system', 'of', 'functions', 'to', 'form', 'a', 'reisz', 'basis', 'of', 'a', 'hilbert', 'space', 'on', 'a', 'finite', 'interval', 'is', 'presented']] | [-0.17968120384547445, 0.10044932643574646, -0.16815986456694426, 0.07040165194430975, -0.06276605801691336, -0.03949597222661531, 0.046688373179036985, 0.31907460155586403, -0.22176969316960485, -0.13089379757918693, 0.10113384412532603, -0.2210466737203576, -0.08916438509132368, 0.2467007200682053, -0.02043951778776116, 0.04950910392734739, 0.07286811177618802, 0.09011945972667525, -0.14043414661729778, -0.20922625596048655, 0.34379817079752684, 0.028933134136928454, 0.1925739948120382, 0.031224976535196656, 0.19906471493757433, 0.04387957743300056, 0.024419911602443015, -0.01533090587192284, -0.11187917173460678, 0.15810102752099434, 0.2283703218455668, 0.13406172317142287, 0.32348851062771344, -0.3887282469896255, -0.1880441734360324, 0.08603728021046629, 0.10685859406711878, 0.06935470647833965, -0.0233060301117668, -0.25960900522423563, 0.02878541188935439, -0.180205503133712, -0.1475004325448363, -0.06724843286253789, 0.09579281903872336, -0.018774730739770113, -0.33876477733806326, -0.02380123396438581, 0.0792753263204186, 0.11952180670643295, -0.10787418867564863, -0.07947401258732295, 0.010209952843272023, 0.04165781972308954, -0.11023282619296676, 0.026680415892904555, 0.07580715086725023, -0.060799057216004086, -0.0760682756771092, 0.3970600087540569, -0.0371017544250073, -0.31647526238251616, 0.1483770908649873, -0.1478813018442856, -0.08774399384856224, 0.12287937104701996, 0.15505411501766908, 0.14786532548842607, -0.17607668331927723, 0.14843257013018485, -0.12634983548411616, 0.1551743193908974, 0.01230422355648544, 0.05688294543263813, 0.1281596498770846, 0.15425249044266012, 0.09578750982742619, 0.1331737727202751, 0.06956374594355347, -0.11252075751070623, -0.4678009792610451, -0.23983874572096048, -0.24293305069484092, 0.054835759551712764, -0.05857930744618729, -0.278392570162261, 0.4139530443569162, 0.017922141658211196, 0.23117571351704774, 0.05683836185683807, 0.21237553752682828, 0.19458514524416792, 0.019236985042139335, -0.03271460807364848, 0.10926949820929656, 0.1621826220717695, 0.015025186818093061, -0.17580774486823766, -0.015117298070065401, 0.1867731042482235] |
1,802.05492 | Measurement of the Branching Fraction For the Semi-Leptonic Decays
$D^{0(+)}\to \pi^{-(0)}\mu^+\nu_\mu$ and Test of Lepton Flavor Universality | Using a data sample corresponding to an integrated luminosity of $2.93\,\rm
fb^{-1}$ taken at a center-of-mass energy of 3.773\,GeV with the BESIII
detector operated at the BEPCII collider, we perform an analysis of the
semi-leptonic decays $D^{0(+)}\to \pi^{-(0)}\mu^+\nu_\mu$. The branching
fractions of $D^0\to \pi^-\mu^+\nu_\mu$ and $D^+\to \pi^0\mu^+\nu_\mu$ are
measured to be $(0.272 \pm 0.008_{\rm stat.} \pm 0.006_{\rm syst.})\%$ and
$(0.350 \pm 0.011_{\rm stat.} \pm 0.010_{\rm syst.})\%$, respectively, where
the former is of much improved precision compared to previous results and the
latter is determined for the first time. Using these results along with
previous BESIII measurements of $D^{0(+)}\to \pi^{-(0)}e^+\nu_e$, we calculate
the branching fraction ratios to be ${\mathcal R}^0\equiv {\mathcal
B}_{D^{0}\to \pi^{-}\mu^+\nu_\mu}/{\mathcal B}_{D^{0}\to
\pi^{-}e^+\nu_e}=0.922\pm 0.030_{\rm stat.}\pm0.022_{\rm syst.}$ and ${\mathcal
R}^+\equiv {\mathcal B}_{D^{+}\to \pi^{0}\mu^+\nu_\mu}/{\mathcal B}_{D^{+}\to
\pi^{0}e^+\nu_e}=0.964\pm 0.037_{\rm stat.}\pm0.026_{\rm syst.}$, which are
compatible with the theoretical expectation of lepton flavor universality
within $1.7\sigma$ and $0.5\sigma$, respectively. We also examine the branching
fraction ratios in different four-momentum transfer square regions, and find no
significant deviations from the standard model predictions.
| hep-ex | using a data sample corresponding to an integrated luminosity of 293rm fb1 taken at a centerofmass energy of 3773gev with the besiii detector operated at the bepcii collider we perform an analysis of the semileptonic decays d0to pi0munu_mu the branching fractions of d0to pimunu_mu and dto pi0munu_mu are measured to be 0272 pm 0008_rm stat pm 0006_rm syst and 0350 pm 0011_rm stat pm 0010_rm syst respectively where the former is of much improved precision compared to previous results and the latter is determined for the first time using these results along with previous besiii measurements of d0to pi0enu_e we calculate the branching fraction ratios to be mathcal r0equiv mathcal b_d0to pimunu_mumathcal b_d0to pienu_e0922pm 0030_rm statpm0022_rm syst and mathcal requiv mathcal b_dto pi0munu_mumathcal b_dto pi0enu_e0964pm 0037_rm statpm0026_rm syst which are compatible with the theoretical expectation of lepton flavor universality within 17sigma and 05sigma respectively we also examine the branching fraction ratios in different fourmomentum transfer square regions and find no significant deviations from the standard model predictions | [['using', 'a', 'data', 'sample', 'corresponding', 'to', 'an', 'integrated', 'luminosity', 'of', '293rm', 'fb1', 'taken', 'at', 'a', 'centerofmass', 'energy', 'of', '3773gev', 'with', 'the', 'besiii', 'detector', 'operated', 'at', 'the', 'bepcii', 'collider', 'we', 'perform', 'an', 'analysis', 'of', 'the', 'semileptonic', 'decays', 'd0to', 'pi0munu_mu', 'the', 'branching', 'fractions', 'of', 'd0to', 'pimunu_mu', 'and', 'dto', 'pi0munu_mu', 'are', 'measured', 'to', 'be', '0272', 'pm', '0008_rm', 'stat', 'pm', '0006_rm', 'syst', 'and', '0350', 'pm', '0011_rm', 'stat', 'pm', '0010_rm', 'syst', 'respectively', 'where', 'the', 'former', 'is', 'of', 'much', 'improved', 'precision', 'compared', 'to', 'previous', 'results', 'and', 'the', 'latter', 'is', 'determined', 'for', 'the', 'first', 'time', 'using', 'these', 'results', 'along', 'with', 'previous', 'besiii', 'measurements', 'of', 'd0to', 'pi0enu_e', 'we', 'calculate', 'the', 'branching', 'fraction', 'ratios', 'to', 'be', 'mathcal', 'r0equiv', 'mathcal', 'b_d0to', 'pimunu_mumathcal', 'b_d0to', 'pienu_e0922pm', '0030_rm', 'statpm0022_rm', 'syst', 'and', 'mathcal', 'requiv', 'mathcal', 'b_dto', 'pi0munu_mumathcal', 'b_dto', 'pi0enu_e0964pm', '0037_rm', 'statpm0026_rm', 'syst', 'which', 'are', 'compatible', 'with', 'the', 'theoretical', 'expectation', 'of', 'lepton', 'flavor', 'universality', 'within', '17sigma', 'and', '05sigma', 'respectively', 'we', 'also', 'examine', 'the', 'branching', 'fraction', 'ratios', 'in', 'different', 'fourmomentum', 'transfer', 'square', 'regions', 'and', 'find', 'no', 'significant', 'deviations', 'from', 'the', 'standard', 'model', 'predictions']] | [-0.07319649816054152, 0.16076564795041218, -0.040272519452724066, 0.050063811826188805, 0.01631367555015267, -0.10804913573481731, 0.056023036838221164, 0.30978004721385477, -0.16929757461873937, -0.292829955143756, 0.005899297077312919, -0.4191525086368385, 0.1018854814909374, 0.17849940785182347, -0.013613955676861989, 0.11482062931386999, 0.0945523593507364, -0.04078904071540915, -0.0870714019585744, -0.1585844042527146, 0.1150552067908728, 0.06119934862363152, 0.2555781518642202, 0.05777461175335032, 0.024637193237523253, -0.03474763862476194, -0.06639838874942047, -0.06449215005666606, -0.22187579878740699, 0.06614804194281246, 0.2430439223290274, 0.08004426952040951, 0.07935681838027545, -0.2804012730781132, 0.0518101349895771, 0.21980628544636266, 0.16062202859259406, -0.027509678165140366, 0.04797216759470757, -0.393030623317157, 0.19689208974351027, -0.19074172794659572, -0.02691727820906396, 0.0005264111341124302, 0.07096420345509327, -0.10746247729739959, -0.3858383530076887, 0.20548148916580095, -0.11136187366700094, 0.06151833441598635, -0.007952434353922544, -0.31652346838841605, -0.06650914599365358, -0.02149718433103867, 0.08575133284275101, 0.14338626350639205, 0.14278748136961153, -0.04444498494635091, -0.1815776527081126, 0.36971618580680926, -0.09576754586918182, -0.135639891948047, 0.0693029057154873, -0.24600961593310594, -0.15886868696083853, 0.18133612921567538, 0.23624639498302713, 0.056810056325814096, -0.19896958500918882, 0.08271723017969634, -0.04608061263876918, 0.2257660478292229, 0.03511226150409417, 0.05251309865286059, 0.15770004622907818, 0.18252238116493621, -0.0567321381592927, 0.030692075277329423, -0.11471414364457719, -0.0498225041174967, -0.3974308637361422, -0.11197091981548031, -0.023532970891162557, 0.14061801291858214, -0.08201873925530603, -0.009087053407902682, 0.2918659070641489, 0.09552177659440388, 0.33726325620725556, 0.1108694963875582, 0.24252714532868644, 0.11576735301289438, 0.03415026534965268, 0.0835638495063904, 0.3105876691529135, 0.22480988699183063, 0.12213972265262303, -0.27128908822564163, 0.03403090365463868, 0.006100145340927779] |
1,802.05493 | A (2+1)-dimensional Anisotropic KPZ growth model with a smooth phase | Stochastic growth processes in dimension $(2+1)$ were conjectured by D. Wolf,
on the basis of renormalization-group arguments, to fall into two distinct
universality classes, according to whether the Hessian $H_\rho$ of the speed of
growth $v(\rho)$ as a function of the average slope $\rho$ satisfies $\det
H_\rho>0$ ("isotropic KPZ class") or $\det H_\rho\le 0$ ("anisotropic KPZ
(AKPZ)" class). The former is characterized by strictly positive growth and
roughness exponents, while in the AKPZ class fluctuations are logarithmic in
time and space. It is natural to ask (a) if one can exhibit interesting growth
models with "smooth" stationary states, i.e., with $O(1)$ fluctuations (instead
of logarithmically or power-like growing, as in Wolf's picture) and (b) what
new phenomena arise when $v(\cdot)$ is not smooth, so that $H_\rho$ is not
defined. The two questions are actually related and here we provide an answer
to both, in a specific framework. We define a $(2+1)$-dimensional interface
growth process, based on the so-called shuffling algorithm for domino tilings.
The stationary, non-reversible measures are translation-invariant Gibbs
measures on perfect matchings of $\mathbb Z^2$, with $2$-periodic weights. If
$\rho\ne0$, fluctuations are known to grow logarithmically in space and to
behave like a two-dimensional GFF. We prove that fluctuations grow at most
logarithmically in time and that $\det H_\rho<0$: the model belongs to the AKPZ
class. When $\rho=0$, instead, the stationary state is "smooth", with
correlations uniformly bounded in space and time; correspondingly, $v(\cdot)$
is not differentiable at $\rho=0$ and we extract the singularity of the
eigenvalues of $H_\rho$ for $\rho\sim 0$.
| math.PR math-ph math.MP | stochastic growth processes in dimension 21 were conjectured by d wolf on the basis of renormalizationgroup arguments to fall into two distinct universality classes according to whether the hessian h_rho of the speed of growth vrho as a function of the average slope rho satisfies det h_rho0 isotropic kpz class or det h_rhole 0 anisotropic kpz akpz class the former is characterized by strictly positive growth and roughness exponents while in the akpz class fluctuations are logarithmic in time and space it is natural to ask a if one can exhibit interesting growth models with smooth stationary states ie with o1 fluctuations instead of logarithmically or powerlike growing as in wolfs picture and b what new phenomena arise when vcdot is not smooth so that h_rho is not defined the two questions are actually related and here we provide an answer to both in a specific framework we define a 21dimensional interface growth process based on the socalled shuffling algorithm for domino tilings the stationary nonreversible measures are translationinvariant gibbs measures on perfect matchings of mathbb z2 with 2periodic weights if rhone0 fluctuations are known to grow logarithmically in space and to behave like a twodimensional gff we prove that fluctuations grow at most logarithmically in time and that det h_rho0 the model belongs to the akpz class when rho0 instead the stationary state is smooth with correlations uniformly bounded in space and time correspondingly vcdot is not differentiable at rho0 and we extract the singularity of the eigenvalues of h_rho for rhosim 0 | [['stochastic', 'growth', 'processes', 'in', 'dimension', '21', 'were', 'conjectured', 'by', 'd', 'wolf', 'on', 'the', 'basis', 'of', 'renormalizationgroup', 'arguments', 'to', 'fall', 'into', 'two', 'distinct', 'universality', 'classes', 'according', 'to', 'whether', 'the', 'hessian', 'h_rho', 'of', 'the', 'speed', 'of', 'growth', 'vrho', 'as', 'a', 'function', 'of', 'the', 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1,802.05494 | Non-idempotent types for classical calculi in natural deduction style | In the first part of this paper, we define two resource aware typing systems
for the {\lambda}{\mu}-calculus based on non-idempotent intersection and union
types. The non-idempotent approach provides very simple combinatorial
arguments-based on decreasing measures of type derivations-to characterize head
and strongly normalizing terms. Moreover, typability provides upper bounds for
the lengths of the head reduction and the maximal reduction sequences to
normal-form. In the second part of this paper, the {\lambda}{\mu}-calculus is
refined to a small-step calculus called {\lambda}{\mu}s, which is inspired by
the substitution at a distance paradigm. The {\lambda}{\mu}s-calculus turns out
to be compatible with a natural extensionof the non-idempotent interpretations
of {\lambda}{\mu}, i.e., {\lambda}{\mu}s-reduction preserves and decreases
typing derivations in an extended appropriate typing system. We thus derive a
simple arithmetical characterization of strongly {\lambda}{\mu}s-normalizing
terms by means of typing.
| cs.LO | in the first part of this paper we define two resource aware typing systems for the lambdamucalculus based on nonidempotent intersection and union types the nonidempotent approach provides very simple combinatorial argumentsbased on decreasing measures of type derivationsto characterize head and strongly normalizing terms moreover typability provides upper bounds for the lengths of the head reduction and the maximal reduction sequences to normalform in the second part of this paper the lambdamucalculus is refined to a smallstep calculus called lambdamus which is inspired by the substitution at a distance paradigm the lambdamuscalculus turns out to be compatible with a natural extensionof the nonidempotent interpretations of lambdamu ie lambdamusreduction preserves and decreases typing derivations in an extended appropriate typing system we thus derive a simple arithmetical characterization of strongly lambdamusnormalizing terms by means of typing | [['in', 'the', 'first', 'part', 'of', 'this', 'paper', 'we', 'define', 'two', 'resource', 'aware', 'typing', 'systems', 'for', 'the', 'lambdamucalculus', 'based', 'on', 'nonidempotent', 'intersection', 'and', 'union', 'types', 'the', 'nonidempotent', 'approach', 'provides', 'very', 'simple', 'combinatorial', 'argumentsbased', 'on', 'decreasing', 'measures', 'of', 'type', 'derivationsto', 'characterize', 'head', 'and', 'strongly', 'normalizing', 'terms', 'moreover', 'typability', 'provides', 'upper', 'bounds', 'for', 'the', 'lengths', 'of', 'the', 'head', 'reduction', 'and', 'the', 'maximal', 'reduction', 'sequences', 'to', 'normalform', 'in', 'the', 'second', 'part', 'of', 'this', 'paper', 'the', 'lambdamucalculus', 'is', 'refined', 'to', 'a', 'smallstep', 'calculus', 'called', 'lambdamus', 'which', 'is', 'inspired', 'by', 'the', 'substitution', 'at', 'a', 'distance', 'paradigm', 'the', 'lambdamuscalculus', 'turns', 'out', 'to', 'be', 'compatible', 'with', 'a', 'natural', 'extensionof', 'the', 'nonidempotent', 'interpretations', 'of', 'lambdamu', 'ie', 'lambdamusreduction', 'preserves', 'and', 'decreases', 'typing', 'derivations', 'in', 'an', 'extended', 'appropriate', 'typing', 'system', 'we', 'thus', 'derive', 'a', 'simple', 'arithmetical', 'characterization', 'of', 'strongly', 'lambdamusnormalizing', 'terms', 'by', 'means', 'of', 'typing']] | [-0.13661882475749076, 0.033123533202149155, -0.0955435972455449, 0.06374289234733488, -0.12015357373766308, -0.15231602859324006, 0.10123080521359981, 0.29960664219450295, -0.3122566673504995, -0.2545981521124211, 0.10094127819165734, -0.22666000670159425, -0.13349274370734998, 0.18874496308808017, -0.15924331943933506, -0.03604744794947191, 0.03839131300857815, 0.07265911944848522, -0.09258949609252663, -0.20098145992502453, 0.3451720029766503, 0.029864284862566183, 0.2542108526512042, 0.05497384393646374, 0.1032286867367353, 0.04891286105253595, -0.07010008385918272, 0.05713013842643246, -0.14146806470734455, 0.17786044509546084, 0.22108770315865361, 0.18088730458558838, 0.2533177825600261, -0.37707097246494936, -0.12387392164655323, 0.08424205720648316, 0.1422981249725842, 0.04880957838466875, 0.02183424744674364, -0.2618671582175756, 0.09233361649268314, -0.18684331415492425, -0.11197474584218085, -0.06888577473665199, 0.0487636100999483, 0.016809867496976234, -0.2562886562902392, 0.01055982062138441, 0.14356831310492918, 0.11254601921005299, -0.052687727116547, -0.08961496988997068, 0.019035780835368738, 0.09157173536116565, -0.012528279616578123, -0.0024455811014384267, 0.07869052686031879, -0.08445450072690082, -0.13332964660687827, 0.36992018108850155, -0.05472827608070124, -0.20919735046602259, 0.19123006687228253, -0.06067624251086881, -0.16728769830890058, 0.10456643905857299, 0.08431174713150254, 0.14137558707477907, -0.1605078784426249, 0.09081991882371444, -0.04104797193765875, 0.16516436522049227, 0.11367830746315831, 0.05466381595360013, 0.1599821330407473, 0.1767639277840224, 0.07956441218678759, 0.20215353236889363, -0.00706567509305172, -0.07797213749938064, -0.32954190675843886, -0.17649526267924792, -0.120628445900566, 0.0011487943221132938, -0.10216775861629249, -0.1978211757813133, 0.3882835243249268, 0.10121470346944186, 0.16638187232507964, 0.15304349601089104, 0.28011889525645184, 0.14336730215669147, 0.07582445666798955, 0.03536392768522299, 0.15266702399501123, 0.11341694147348053, 0.06609740404881478, -0.18877671571933358, 0.10500241322516221, 0.15831668993942147] |
1,802.05495 | How Much Data Do You Need? An Operational, Pre-Asymptotic Metric for
Fat-tailedness | This note presents an operational measure of fat-tailedness for univariate
probability distributions, in $[0,1]$ where 0 is maximally thin-tailed
(Gaussian) and 1 is maximally fat-tailed. Among others,1) it helps assess the
sample size needed to establish a comparative $n$ needed for statistical
significance, 2) allows practical comparisons across classes of fat-tailed
distributions, 3) helps understand some inconsistent attributes of the
lognormal, pending on the parametrization of its scale parameter. The
literature is rich for what concerns asymptotic behavior, but there is a large
void for finite values of $n$, those needed for operational purposes.
Conventional measures of fat-tailedness, namely 1) the tail index for the power
law class, and 2) Kurtosis for finite moment distributions fail to apply to
some distributions, and do not allow comparisons across classes and
parametrization, that is between power laws outside the Levy-Stable basin, or
power laws to distributions in other classes, or power laws for different
number of summands. How can one compare a sum of 100 Student T distributed
random variables with 3 degrees of freedom to one in a Levy-Stable or a
Lognormal class? How can one compare a sum of 100 Student T with 3 degrees of
freedom to a single Student T with 2 degrees of freedom? We propose an
operational and heuristic measure that allow us to compare $n$-summed
independent variables under all distributions with finite first moment. The
method is based on the rate of convergence of the Law of Large numbers for
finite sums, $n$-summands specifically. We get either explicit expressions or
simulation results and bounds for the lognormal, exponential, Pareto, and the
Student T distributions in their various calibrations --in addition to the
general Pearson classes.
| stat.ME q-fin.ST | this note presents an operational measure of fattailedness for univariate probability distributions in 01 where 0 is maximally thintailed gaussian and 1 is maximally fattailed among others1 it helps assess the sample size needed to establish a comparative n needed for statistical significance 2 allows practical comparisons across classes of fattailed distributions 3 helps understand some inconsistent attributes of the lognormal pending on the parametrization of its scale parameter the literature is rich for what concerns asymptotic behavior but there is a large void for finite values of n those needed for operational purposes conventional measures of fattailedness namely 1 the tail index for the power law class and 2 kurtosis for finite moment distributions fail to apply to some distributions and do not allow comparisons across classes and parametrization that is between power laws outside the levystable basin or power laws to distributions in other classes or power laws for different number of summands how can one compare a sum of 100 student t distributed random variables with 3 degrees of freedom to one in a levystable or a lognormal class how can one compare a sum of 100 student t with 3 degrees of freedom to a single student t with 2 degrees of freedom we propose an operational and heuristic measure that allow us to compare nsummed independent variables under all distributions with finite first moment the method is based on the rate of convergence of the law of large numbers for finite sums nsummands specifically we get either explicit expressions or simulation results and bounds for the lognormal exponential pareto and the student t distributions in their various calibrations in addition to the general pearson classes | [['this', 'note', 'presents', 'an', 'operational', 'measure', 'of', 'fattailedness', 'for', 'univariate', 'probability', 'distributions', 'in', '01', 'where', '0', 'is', 'maximally', 'thintailed', 'gaussian', 'and', 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1,802.05496 | Extremals For Fractional Order Hardy-Sobolev-Maz'ya Inequality | In this article, we derive the existence of positive solutions of a
semi-linear, non-local elliptic PDE, involving a singular perturbation of the
fractional laplacian, coming from the fractional Hardy-Sobolev-Maz'ya
inequality, derived in this paper. We also derive symmetry properties and a
precise asymptotic behaviour of solutions.
| math.AP math.FA | in this article we derive the existence of positive solutions of a semilinear nonlocal elliptic pde involving a singular perturbation of the fractional laplacian coming from the fractional hardysobolevmazya inequality derived in this paper we also derive symmetry properties and a precise asymptotic behaviour of solutions | [['in', 'this', 'article', 'we', 'derive', 'the', 'existence', 'of', 'positive', 'solutions', 'of', 'a', 'semilinear', 'nonlocal', 'elliptic', 'pde', 'involving', 'a', 'singular', 'perturbation', 'of', 'the', 'fractional', 'laplacian', 'coming', 'from', 'the', 'fractional', 'hardysobolevmazya', 'inequality', 'derived', 'in', 'this', 'paper', 'we', 'also', 'derive', 'symmetry', 'properties', 'and', 'a', 'precise', 'asymptotic', 'behaviour', 'of', 'solutions']] | [-0.18517496716231108, -0.0052902479453579235, -0.12663851871215942, 0.06837763507222838, -0.13349878585532957, -0.11231796462696207, -0.005022422063832536, 0.18230355449992677, -0.3001670180010083, -0.23302698443117348, 0.17763371206313858, -0.33170736641825543, -0.1867262210858905, 0.14600046672453376, -0.07495641410755723, 0.1091130197291141, 0.019012335480352784, 0.030240419361254444, -0.1342946578718155, -0.1476205870428163, 0.42039039909191755, -0.10588844675246788, 0.15623275498333183, 0.05151482818283788, 0.09447741563148472, -0.05842795667400503, -0.04252094812893673, 0.005981287392585174, -0.2851540482926952, 0.20898314974392238, 0.23956537755325175, 0.004958753555041292, 0.2695622926820879, -0.42406734646014543, -0.18883329494248913, 0.15704147452893463, 0.13193526064329172, 0.09815388889578373, -0.07420159471423729, -0.3027071250886049, 0.06038735802892758, -0.1400115715096826, -0.2740323288447183, -0.04696642783085775, 0.011787928235919579, 0.06860684286600546, -0.3138380935213164, 0.19243491622151138, 0.09931411104195792, 0.05092208747468565, -0.1198351147139202, -0.08481174506975905, 0.02365752572760634, 0.035297579081405114, 0.0818876682922406, -0.08835019991459811, -0.024812886124456545, -0.13789299111585537, -0.09242975298801194, 0.31728268838386336, -0.12177753847335344, -0.2737101403105518, 0.08874058066968522, -0.16827643175771378, -0.16803813984860544, 0.07180105507090363, 0.2040300127422518, 0.2208777846282591, -0.17888505530098212, 0.14056761733777617, -0.0867158702534178, 0.10737259236528822, 0.11916109036816203, 0.06643051710789619, 0.04835153944061502, 0.08657256417158667, 0.1742476537094816, 0.18965923774015644, 0.00764794274152297, -0.11559065341261095, -0.42208136585743533, -0.16434504512859427, -0.1316295732015177, 0.18848785004861976, -0.1307742825564397, -0.22103368470688228, 0.43037773936015106, 0.11952564711480038, 0.14232660020175186, 0.10910234300662643, 0.189706054850198, 0.2479624748027519, -0.07482162283976442, 0.0246382229556532, 0.21700889414743238, 0.20255460620493346, 0.18903568710969842, -0.2500044745342482, 0.0051665779977591465, 0.19093475729712975] |
1,802.05497 | Nano-Opto-Electro-Mechanical Systems | A new class of hybrid systems that couple optical, electrical and mechanical
degrees of freedom in nanoscale devices is under development in laboratories
worldwide. These nano-opto-electro-mechanical systems (NOEMS) offer
unprecedented opportunities to dynamically control the flow of light in
nanophotonic structures, at high speed and low power consumption. Drawing on
conceptual and technological advances from cavity optomechanics, they also bear
the potential for highly efficient, low-noise transducers between microwave and
optical signals, both in the classical and quantum domains. This Progress
Article discusses the fundamental physical limits of NOEMS, reviews the recent
progress in their implementation, and suggests potential avenues for further
developments in this field.
| physics.optics quant-ph | a new class of hybrid systems that couple optical electrical and mechanical degrees of freedom in nanoscale devices is under development in laboratories worldwide these nanooptoelectromechanical systems noems offer unprecedented opportunities to dynamically control the flow of light in nanophotonic structures at high speed and low power consumption drawing on conceptual and technological advances from cavity optomechanics they also bear the potential for highly efficient lownoise transducers between microwave and optical signals both in the classical and quantum domains this progress article discusses the fundamental physical limits of noems reviews the recent progress in their implementation and suggests potential avenues for further developments in this field | [['a', 'new', 'class', 'of', 'hybrid', 'systems', 'that', 'couple', 'optical', 'electrical', 'and', 'mechanical', 'degrees', 'of', 'freedom', 'in', 'nanoscale', 'devices', 'is', 'under', 'development', 'in', 'laboratories', 'worldwide', 'these', 'nanooptoelectromechanical', 'systems', 'noems', 'offer', 'unprecedented', 'opportunities', 'to', 'dynamically', 'control', 'the', 'flow', 'of', 'light', 'in', 'nanophotonic', 'structures', 'at', 'high', 'speed', 'and', 'low', 'power', 'consumption', 'drawing', 'on', 'conceptual', 'and', 'technological', 'advances', 'from', 'cavity', 'optomechanics', 'they', 'also', 'bear', 'the', 'potential', 'for', 'highly', 'efficient', 'lownoise', 'transducers', 'between', 'microwave', 'and', 'optical', 'signals', 'both', 'in', 'the', 'classical', 'and', 'quantum', 'domains', 'this', 'progress', 'article', 'discusses', 'the', 'fundamental', 'physical', 'limits', 'of', 'noems', 'reviews', 'the', 'recent', 'progress', 'in', 'their', 'implementation', 'and', 'suggests', 'potential', 'avenues', 'for', 'further', 'developments', 'in', 'this', 'field']] | [-0.16675137137108056, 0.15241700868592462, -0.045244558440810705, -0.06685520319954166, -0.08975152609173606, -0.1381322705566666, 0.06022974714134974, 0.4100896665482845, -0.2773821611517986, -0.31632097741787873, 0.094333827550957, -0.26619839811589097, -0.1812380604678765, 0.3212727392092347, -0.07490487887695865, 0.11228808594270817, 0.048360618958204475, -0.0717642044431521, -0.018183848265676025, -0.18830205329458763, 0.2201895280469896, 0.06958170182770118, 0.37067229546678876, 0.10775140191154844, 0.10459969604604887, -0.02826774123495499, -0.0036123187181729714, -0.03375023274085692, -0.09711607216295924, 0.22629343558699616, 0.301923206604981, 0.10059558903997384, 0.3113682194640046, -0.5122629710500246, -0.2643217302460983, 0.05654215177548518, 0.12052884287408834, 0.12898895010641478, -0.14797565796823936, -0.24623432883866203, 0.01883085953406266, -0.14980853437581687, -0.14924315872895463, -0.1097969264063297, 0.023429389493720768, 0.04857637493608935, -0.15100573016742008, 0.004412286928165433, 0.014531203391916544, 0.10123663909226946, -0.014591233476626832, -0.0908432494197945, 0.077312690495215, 0.11656007523313888, -0.0391359399050221, 0.003907202503381713, 0.14968895348855882, -0.23653271556967526, -0.1614686478385973, 0.3750498835539934, -0.02402675667669154, -0.1277928034304777, 0.24509713348697473, -0.14812340983415692, -0.14670148897843743, 0.08401179499924183, 0.254446211533205, 0.048849245840774, -0.18752966271442117, 0.0759409050091545, 0.10277080190485542, 0.1358630674285362, 0.04532818270178096, 0.18182733980034596, 0.31675236735456774, 0.22487539950378457, 0.05404175101842695, 0.12069359346229619, -0.015290736815286348, -0.0721073172832794, -0.257208909859171, -0.17433184278152378, -0.10570766728877731, 0.04575048911032602, -0.062420775886970904, -0.1033359451074768, 0.39559818823252196, 0.19777404273762955, 0.10211159348560189, -0.04607392397968582, 0.33830881243553557, 0.03153690385623175, 0.059518352121530664, 0.04538346061627697, 0.31627629696757725, 0.16771545262048834, 0.18485335290468144, -0.21287157873225226, -0.020611033429904814, -0.07744527479308178] |
1,802.05498 | Dynamics of high-order solitons in the nonlocal nonlinear
Schr\"{o}dinger equations | A study of high-order solitons in three nonlocal nonlinear Schr\"{o}dinger
equations is presented, which includes the \PT-symmetric, reverse-time, and
reverse-space-time nonlocal nonlinear Schr\"{o}dinger equations. General
high-order solitons in three different equations are derived from the same
Riemann-Hilbert solutions of the AKNS hierarchy, except for the difference in
the corresponding symmetry relations on the "perturbed" scattering data.
Dynamics of general high-order solitons in these equations is further analyzed.
It is shown that the high-order fundamental-soliton is always moving on several
different trajectories in nearly equal velocities, and they can be nonsingular
or repeatedly collapsing, depending on the choices of the parameters. It is
also shown that high-order multi-solitons could have more complicated wave
structures and behave very differently from high-order fundamental solitons.
More interesting is the high-order hybrid-pattern solitons, which are derived
from combination of different size of block matrix in the Riemann-Hilbert
solutions and thus they can describe a nonlinear interaction between several
types of solitons.
| nlin.PS | a study of highorder solitons in three nonlocal nonlinear schrodinger equations is presented which includes the ptsymmetric reversetime and reversespacetime nonlocal nonlinear schrodinger equations general highorder solitons in three different equations are derived from the same riemannhilbert solutions of the akns hierarchy except for the difference in the corresponding symmetry relations on the perturbed scattering data dynamics of general highorder solitons in these equations is further analyzed it is shown that the highorder fundamentalsoliton is always moving on several different trajectories in nearly equal velocities and they can be nonsingular or repeatedly collapsing depending on the choices of the parameters it is also shown that highorder multisolitons could have more complicated wave structures and behave very differently from highorder fundamental solitons more interesting is the highorder hybridpattern solitons which are derived from combination of different size of block matrix in the riemannhilbert solutions and thus they can describe a nonlinear interaction between several types of solitons | [['a', 'study', 'of', 'highorder', 'solitons', 'in', 'three', 'nonlocal', 'nonlinear', 'schrodinger', 'equations', 'is', 'presented', 'which', 'includes', 'the', 'ptsymmetric', 'reversetime', 'and', 'reversespacetime', 'nonlocal', 'nonlinear', 'schrodinger', 'equations', 'general', 'highorder', 'solitons', 'in', 'three', 'different', 'equations', 'are', 'derived', 'from', 'the', 'same', 'riemannhilbert', 'solutions', 'of', 'the', 'akns', 'hierarchy', 'except', 'for', 'the', 'difference', 'in', 'the', 'corresponding', 'symmetry', 'relations', 'on', 'the', 'perturbed', 'scattering', 'data', 'dynamics', 'of', 'general', 'highorder', 'solitons', 'in', 'these', 'equations', 'is', 'further', 'analyzed', 'it', 'is', 'shown', 'that', 'the', 'highorder', 'fundamentalsoliton', 'is', 'always', 'moving', 'on', 'several', 'different', 'trajectories', 'in', 'nearly', 'equal', 'velocities', 'and', 'they', 'can', 'be', 'nonsingular', 'or', 'repeatedly', 'collapsing', 'depending', 'on', 'the', 'choices', 'of', 'the', 'parameters', 'it', 'is', 'also', 'shown', 'that', 'highorder', 'multisolitons', 'could', 'have', 'more', 'complicated', 'wave', 'structures', 'and', 'behave', 'very', 'differently', 'from', 'highorder', 'fundamental', 'solitons', 'more', 'interesting', 'is', 'the', 'highorder', 'hybridpattern', 'solitons', 'which', 'are', 'derived', 'from', 'combination', 'of', 'different', 'size', 'of', 'block', 'matrix', 'in', 'the', 'riemannhilbert', 'solutions', 'and', 'thus', 'they', 'can', 'describe', 'a', 'nonlinear', 'interaction', 'between', 'several', 'types', 'of', 'solitons']] | [-0.14897686957310607, 0.1192497099748232, -0.10237284169181601, 0.10090655161600028, -0.07868891479538197, -0.15752378161149946, -0.12141849457338458, 0.36397168637773436, -0.26495548245775236, -0.23379870059041233, 0.1059818733483553, -0.27975954191589897, -0.1766936238174774, 0.2098578939277848, 0.008916004784647134, 0.06793681376722532, 0.06051974089486621, 0.016649068950058576, -0.09484016637970971, -0.21078550229877135, 0.3685760756987812, -0.05378344089439889, 0.2578814227085609, -0.005406826010348832, 0.08863222278585028, -0.06261597524167269, -0.01288048135927068, 0.0014831405344673178, -0.10112898302456899, 0.08663648917103887, 0.2513333196338272, 0.044089298565303546, 0.23494620533514912, -0.4549557187219525, -0.2235679088353917, 0.0762254380259675, 0.1947936564390986, 0.18476277792844437, -0.025395044944492507, -0.32774558582482255, 0.04652136077502646, -0.09461631308243211, -0.14421153864399952, -0.09402534134486425, 0.02314804714814119, 0.1261883202211496, -0.22486998459517762, 0.09703864994917712, 0.06775503795497216, -0.02525723192768244, -0.08007112979380922, -0.08221254725910287, -0.08164929075608054, 0.06565041070374623, 0.03404212772979268, -0.08788440575938092, 0.0009569708725086764, -0.13493453223536445, -0.06773553091379536, 0.43060581069197745, -0.07503139507630235, -0.2804856448277057, 0.2035153661733614, -0.10170188068424339, -0.08618550329444954, 0.15552808253348552, 0.19328583995872117, 0.1827232088718273, -0.1492526978980024, 0.06287113856977795, -0.055007882872743795, 0.16159830038592993, 0.14857739462160396, 0.01971531149631898, 0.17614174328212226, 0.11609747632128464, 0.0732044252436971, 0.082479184392882, -0.003347052598384197, -0.1815292633353285, -0.3126078655749753, -0.0744848299481265, -0.15822447759444014, 0.02964976126985404, -0.140727379398236, -0.14545499155858785, 0.41849694584871266, 0.09641643819193561, 0.14008286127264236, -0.0005356919839857267, 0.21838549725929057, 0.21561579709243658, 0.07246683970964574, 0.056683153627658044, 0.2673254788720182, 0.15528495753087201, 0.10368679855442182, -0.2500663253300303, -0.03454449982533546, 0.1030125508852932] |
1,802.05499 | On the $L^p$ norm of the torsion unction | Bounds are obtained for the $L^p$ norm of the torsion function $v_{\Omega}$,
i.e. the solution of $-\Delta v=1,\, v\in H_0^1(\Omega),$ in terms of the
Lebesgue measure of $\Omega$ and the principal eigenvalue $\lambda_1(\Omega)$
of the Dirichlet Laplacian acting in $L^2(\Omega)$. We show that these bounds
are sharp for $1\le p\le 2$.
| math.AP | bounds are obtained for the lp norm of the torsion function v_omega ie the solution of delta v1 vin h_01omega in terms of the lebesgue measure of omega and the principal eigenvalue lambda_1omega of the dirichlet laplacian acting in l2omega we show that these bounds are sharp for 1le ple 2 | [['bounds', 'are', 'obtained', 'for', 'the', 'lp', 'norm', 'of', 'the', 'torsion', 'function', 'v_omega', 'ie', 'the', 'solution', 'of', 'delta', 'v1', 'vin', 'h_01omega', 'in', 'terms', 'of', 'the', 'lebesgue', 'measure', 'of', 'omega', 'and', 'the', 'principal', 'eigenvalue', 'lambda_1omega', 'of', 'the', 'dirichlet', 'laplacian', 'acting', 'in', 'l2omega', 'we', 'show', 'that', 'these', 'bounds', 'are', 'sharp', 'for', '1le', 'ple', '2']] | [-0.1680353890748366, 0.07294967611703802, -0.022673309210564613, 0.05157706265648206, -0.04375673268063396, -0.13971566147737058, -0.07411443453062982, 0.3563987349762636, -0.3174344789163739, -0.16512077929926852, 0.13834312029055082, -0.37660737138460665, -0.10453952151788946, 0.16949002093900287, -0.06300492593607701, 0.12157085848351319, 0.034293564009096694, 0.15760086874897575, -0.06311031876077108, -0.1628529450983978, 0.36497172844760556, -0.10795728902460314, 0.1496848190276354, 0.09721556711284553, 0.0514319549661641, -0.07653761444175068, 0.017635385953255145, -0.09547703475782685, -0.2609295421926243, 0.15656270526860858, 0.24080436881266387, 0.09722494681858841, 0.3050850928194967, -0.379435437421004, -0.15420191620896553, 0.24808509505408652, 0.13680158392982741, -0.12882737990687876, 0.02716683623764445, -0.308176197622921, 0.14056043746862926, -0.03435594439689143, -0.1461213981805771, -0.056017596849842984, 0.050755871788543815, 0.08836652596444622, -0.4259830613200571, 0.1683324281190175, 0.14958843194728935, 0.009077164317097734, -0.19116918233168476, -0.2573349905684225, -0.021166682161171648, 0.08509918629173555, 0.010732733005402135, 0.07993958404917709, 0.007137200073795575, -0.06300885412002019, -0.050700315256036965, 0.30961525462129535, -0.12424578808028908, -0.2561281607212389, 0.03151172675265401, -0.2517565203940167, -0.1254738379160271, 0.002734042813672739, 0.08860428869614706, 0.1732192098290897, -0.034559339504031575, 0.25587955328941747, -0.05160383775136342, 0.09223099250127287, 0.13831815718874044, 0.06375084128048197, -0.024731434443417716, 0.03421222991949203, 0.22801249518113978, 0.09020426856609536, -0.06750860773757392, 0.013163845018282825, -0.40219494342511775, -0.15056281434098148, -0.2666679330937126, 0.06937135295832858, -0.22007965445307348, -0.15905746134162388, 0.3360942611653431, 0.020651362580703755, 0.21001629713995784, 0.14057959442702578, 0.17353637761199006, 0.18752465583384037, -0.01086761568462951, 0.11102467971653038, 0.17396075798965552, 0.15854289647483943, 0.020955012563396904, -0.21620791602660627, -0.015534695886148541, 0.18873444714528673] |
1,802.055 | 2PI effective action for the SYK model and tensor field theories | We discuss the two-particle irreducible (2PI) effective action for the SYK
model and for tensor field theories. For the SYK model the 2PI effective action
reproduces the bilocal reformulation of the model without using replicas. In
general tensor field theories the 2PI formalism is the only way to obtain a
bilocal reformulation of the theory, and as such is a precious instrument for
the identification of soft modes and for possible holographic interpretations.
We compute the 2PI action for several models, and push it up to fourth order in
the $1/N$ expansion for the model proposed by Witten in arXiv:1610.09758,
uncovering a one-loop structure in terms of an auxiliary bilocal action.
| hep-th gr-qc | we discuss the twoparticle irreducible 2pi effective action for the syk model and for tensor field theories for the syk model the 2pi effective action reproduces the bilocal reformulation of the model without using replicas in general tensor field theories the 2pi formalism is the only way to obtain a bilocal reformulation of the theory and as such is a precious instrument for the identification of soft modes and for possible holographic interpretations we compute the 2pi action for several models and push it up to fourth order in the 1n expansion for the model proposed by witten in arxiv161009758 uncovering a oneloop structure in terms of an auxiliary bilocal action | [['we', 'discuss', 'the', 'twoparticle', 'irreducible', '2pi', 'effective', 'action', 'for', 'the', 'syk', 'model', 'and', 'for', 'tensor', 'field', 'theories', 'for', 'the', 'syk', 'model', 'the', '2pi', 'effective', 'action', 'reproduces', 'the', 'bilocal', 'reformulation', 'of', 'the', 'model', 'without', 'using', 'replicas', 'in', 'general', 'tensor', 'field', 'theories', 'the', '2pi', 'formalism', 'is', 'the', 'only', 'way', 'to', 'obtain', 'a', 'bilocal', 'reformulation', 'of', 'the', 'theory', 'and', 'as', 'such', 'is', 'a', 'precious', 'instrument', 'for', 'the', 'identification', 'of', 'soft', 'modes', 'and', 'for', 'possible', 'holographic', 'interpretations', 'we', 'compute', 'the', '2pi', 'action', 'for', 'several', 'models', 'and', 'push', 'it', 'up', 'to', 'fourth', 'order', 'in', 'the', '1n', 'expansion', 'for', 'the', 'model', 'proposed', 'by', 'witten', 'in', 'arxiv161009758', 'uncovering', 'a', 'oneloop', 'structure', 'in', 'terms', 'of', 'an', 'auxiliary', 'bilocal', 'action']] | [-0.13766487166708843, 0.13874302345277761, -0.10102843762036752, 0.08663482685700398, -0.0698083452203057, -0.12200676802630452, -0.010147094638721849, 0.30034321565181016, -0.20298718782988462, -0.2753942933441563, 0.03944738144478337, -0.2849613901227713, -0.20336413509635762, 0.1261913935145871, 0.0010182480200786482, 0.03271809804507277, -0.0012287936300377953, 0.12157916859723628, -0.0945043917581312, -0.21104507064446806, 0.2966942824243399, 0.03101264585486867, 0.24372193036092954, 0.07044468525881795, 0.12764781480655074, 0.05389324308119037, -0.0044570617928085, -0.004953803392973813, -0.07870853540953249, 0.1266078456389633, 0.2024367325922371, 0.08418509960174561, 0.15837122828657316, -0.41167111224071545, -0.24276534823531454, 0.05591523770073598, 0.1384086365515197, 0.13852760907558895, 0.02867719909514893, -0.26353044205091214, 0.052306990344500676, -0.2358181440864097, -0.17301116966832938, -0.1741834971037778, 0.023468706670047884, -0.13462352280251005, -0.29786129411235873, 0.05196869002221237, 0.012234247323464264, 0.037781659983606504, -0.06998372021215883, -0.07993623588805679, 0.03394244136288762, 0.1323971443005245, 0.08220488497648727, 0.07610187699848955, 0.06618478197858414, -0.22859326344279743, -0.1298414011655206, 0.40590231982483105, -0.13066252365560185, -0.22671736151149327, 0.11571360282091932, -0.12589503897946666, -0.1538637129420584, 0.06415957728908821, 0.10754747615957802, 0.15972465126013213, -0.15741248098678295, 0.1810348397395997, 0.0004103359088978984, 0.1014341560785066, 0.04594178365712816, 0.050182838033651936, 0.2036537111482837, 0.10898493053497407, 0.02944850720549849, 0.14275901358659296, -0.02089046069674871, -0.1410092339263594, -0.3961460226300088, -0.16516319281737113, -0.15710975703868, 0.060995505199852314, -0.15444574720935303, -0.16488324644425037, 0.45109568482942203, 0.17405444574119014, 0.1671118463124995, 0.09075105549682948, 0.2689339562911879, 0.15033611364726146, 0.09540443296798251, 0.0285993123808029, 0.21829826805571265, 0.14457137546798385, 0.04314681458371607, -0.26179360938258467, -0.06181093765084039, 0.180576372214339] |
1,802.05501 | Finding small-width connected path decompositions in polynomial time | A connected path decomposition of a simple graph $G$ is a path decomposition
$(X_1,\ldots,X_l)$ such that the subgraph of $G$ induced by $X_1\cup\cdots\cup
X_i$ is connected for each $i\in\{1,\ldots,l\}$. The connected pathwidth of $G$
is then the minimum width over all connected path decompositions of $G$. We
prove that for each fixed $k$, the connected pathwidth of any input graph can
be computed in polynomial-time. This answers an open question raised by Fedor
V. Fomin during the GRASTA 2017 workshop, since connected pathwidth is
equivalent to the connected (monotone) node search game.
| cs.DS cs.CC cs.DM | a connected path decomposition of a simple graph g is a path decomposition x_1ldotsx_l such that the subgraph of g induced by x_1cupcdotscup x_i is connected for each iin1ldotsl the connected pathwidth of g is then the minimum width over all connected path decompositions of g we prove that for each fixed k the connected pathwidth of any input graph can be computed in polynomialtime this answers an open question raised by fedor v fomin during the grasta 2017 workshop since connected pathwidth is equivalent to the connected monotone node search game | [['a', 'connected', 'path', 'decomposition', 'of', 'a', 'simple', 'graph', 'g', 'is', 'a', 'path', 'decomposition', 'x_1ldotsx_l', 'such', 'that', 'the', 'subgraph', 'of', 'g', 'induced', 'by', 'x_1cupcdotscup', 'x_i', 'is', 'connected', 'for', 'each', 'iin1ldotsl', 'the', 'connected', 'pathwidth', 'of', 'g', 'is', 'then', 'the', 'minimum', 'width', 'over', 'all', 'connected', 'path', 'decompositions', 'of', 'g', 'we', 'prove', 'that', 'for', 'each', 'fixed', 'k', 'the', 'connected', 'pathwidth', 'of', 'any', 'input', 'graph', 'can', 'be', 'computed', 'in', 'polynomialtime', 'this', 'answers', 'an', 'open', 'question', 'raised', 'by', 'fedor', 'v', 'fomin', 'during', 'the', 'grasta', '2017', 'workshop', 'since', 'connected', 'pathwidth', 'is', 'equivalent', 'to', 'the', 'connected', 'monotone', 'node', 'search', 'game']] | [-0.20956373238522147, 0.13965495019365334, -0.038144713567776815, -0.028380908601037744, -0.16900133040681894, -0.19148391113202606, 0.07546530808839533, 0.42004396291190965, -0.35721520497981046, -0.28757210050502585, 0.0796574427629821, -0.26680308253400853, -0.14964796538050804, 0.11807917128058357, -0.13135787978664867, -0.018512331792670818, 0.15233107576560642, 0.12528787093340524, 0.056885729393818314, -0.2902239960029773, 0.2965440237351383, -0.08262717798869643, 0.14280744100299975, 0.12270372544104854, 0.11144246477116314, 0.03950939538578192, -0.042096391439230905, 0.1375112866672377, -0.16771820783178554, 0.07940714479126554, 0.3120867625189324, 0.18049177567526284, 0.28010460088650385, -0.3428337969092859, -0.15018565853436788, 0.21974463044769235, 0.10715770117628078, -0.033981792815029624, 0.059805699466313755, -0.22823227043781016, 0.14694159609886506, -0.1058111908328202, -0.07101859333407548, 0.05830943685335418, 0.1282689355029207, -0.019604087662365703, -0.23907276625848478, -0.06353914456623089, 0.10472261199934615, -0.015597218267309169, 0.054625843713680906, -0.14920365340593789, -0.0552665412839916, 0.12194713077507105, -0.14483166598818367, 0.16963743530472533, 0.05198849710480621, -0.11343760581221432, -0.19854091723035608, 0.34340731793911095, -0.028985002119508056, -0.0960049856454134, 0.06712871574693256, -0.0683972775315245, -0.17701805536505869, 0.13699078467519332, 0.10618156919824995, 0.16923565233591945, -0.1286863283564647, 0.1613696326656888, -0.1313433114025328, 0.10862180817380754, 0.1447106827567849, -0.07663274206117623, 0.12539264763787894, 0.15894790041363902, 0.21108823348250655, 0.1460941700096656, 0.08190030565278397, 0.05454904230104552, -0.30720644224849014, -0.1021003273781389, -0.23476743967815614, 0.07602920636741652, -0.1595088648195896, -0.1615133433861451, 0.4367108946459161, 0.06862712022848427, 0.19076611341184213, 0.0903068668415977, 0.26892709746542903, 0.10816045655066975, 0.03552551022213366, 0.2362424017344084, 0.06071700952533218, 0.2444019664130691, -0.08698449257062749, -0.18518040712612371, 0.08586429856821066, 0.17464461715684998] |
1,802.05502 | Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator | We obtain sharp lower bounds for the first eigenvalue of four types of
eigenvalue problem defined by the bi-Laplace operator on compact manifolds with
boundary and determine all the eigenvalues and the corresponding eigenfunctions
of a Wentzell-type bi-Laplace problem on Euclidean balls.
| math.AP | we obtain sharp lower bounds for the first eigenvalue of four types of eigenvalue problem defined by the bilaplace operator on compact manifolds with boundary and determine all the eigenvalues and the corresponding eigenfunctions of a wentzelltype bilaplace problem on euclidean balls | [['we', 'obtain', 'sharp', 'lower', 'bounds', 'for', 'the', 'first', 'eigenvalue', 'of', 'four', 'types', 'of', 'eigenvalue', 'problem', 'defined', 'by', 'the', 'bilaplace', 'operator', 'on', 'compact', 'manifolds', 'with', 'boundary', 'and', 'determine', 'all', 'the', 'eigenvalues', 'and', 'the', 'corresponding', 'eigenfunctions', 'of', 'a', 'wentzelltype', 'bilaplace', 'problem', 'on', 'euclidean', 'balls']] | [-0.12511859318086258, 0.04991964879168552, -0.030272489003393622, 0.09576221491165814, -0.06486972942504854, -0.10299677323062151, 0.0048996613671382265, 0.2848629044989745, -0.2058864470039095, -0.2628001691773534, 0.19694194351766436, -0.32932520205421106, -0.11952078609084267, 0.19691068889750613, -0.06977291496115781, 0.14110273118352606, 0.1007810459538762, 0.1306258721742779, -0.10476511214593691, -0.1996926523612014, 0.46191398577675935, -0.081007929208378, 0.1938925135514832, 0.11378518641660255, 0.07867744046130351, -0.03322830408190688, 0.002193263199712549, -0.030671185303834222, -0.23084767724919533, 0.1811469114834922, 0.21334237880295231, 0.05961712680402256, 0.22600765266854847, -0.4072147850834188, -0.13341881558742552, 0.19217220900048101, 0.14170180899756296, -0.023661972816279603, 0.031448415985020496, -0.31338707880959626, 0.0891959356543209, -0.011791676637672242, -0.17787950340702774, 0.001841739152691194, 0.012342731290984722, -0.011191028785625739, -0.27557752152816173, 0.09729446343234963, 0.08567296979682786, 0.004483569757125917, -0.1518861173563415, -0.1962536348728463, 0.006225692507411752, 0.1215826843177811, -0.011495085056161597, -0.06298787849456337, 0.023496908656809302, -0.01561851528961034, -0.11420772382102552, 0.3295266628708868, -0.051749034806908595, -0.28402223340457394, 0.08346344257837959, -0.16642092373443856, -0.10108902236624133, 0.06523172765792835, 0.18174445229981626, 0.1971249236680922, -0.09723996322247244, 0.16686420204461597, -0.07055492186641675, 0.04179271201913556, 0.1583286905439482, 0.02453208009579352, 0.07791417666400473, 0.07448814062046863, 0.23228628720555985, 0.1753734874516903, -0.015955330909318513, -0.068465434768725, -0.3267830243068082, -0.13542058897603834, -0.26174299847168314, 0.07408074756330323, -0.20718871709998762, -0.23957019888829173, 0.40950992038207396, 0.0025006046829124293, 0.2650315880864149, 0.13873038993084005, 0.21848788487148427, 0.18752064699462304, 0.003982775556367068, 0.1438179986240963, 0.16704207405980145, 0.19488838954185622, 0.030330365013685964, -0.2202269821649506, -0.06133962182017664, 0.23333364148579894] |
1,802.05503 | Energy cascade rate in isothermal compressible magnetohydrodynamic
turbulence | Three-dimensional direct numerical simulations are used to study the energy
cascade rate in isothermal compressible magnetohydrodynamic turbulence. Our
analysis is guided by a two-point exact law derived recently for this problem
in which flux, source, hybrid, and mixed terms are present. The relative
importance of each term is studied for different initial subsonic Mach numbers
$M_S$ and different magnetic guide fields ${\bf B}_0$. The dominant
contribution to the energy cascade rate comes from the compressible flux, which
depends weakly on the magnetic guide field ${\bf B}_0$, unlike the other terms
whose modulus increase significantly with $M_S$ and ${\bf B}_0$. In particular,
for strong ${\bf B}_0$ the source and hybrid terms are dominant at small scales
with almost the same amplitude but with a different sign. A statistical
analysis made with an isotropic decomposition based on the SO(3) rotation group
is shown to generate spurious results in presence of ${\bf B}_0$, when compared
with an axisymmetric decomposition better suited to the geometry of the
problem. Our numerical results are compared with previous analyses made with
in-situ measurements in the solar wind and the terrestrial magnetosheath.
| physics.plasm-ph astro-ph.EP physics.space-ph | threedimensional direct numerical simulations are used to study the energy cascade rate in isothermal compressible magnetohydrodynamic turbulence our analysis is guided by a twopoint exact law derived recently for this problem in which flux source hybrid and mixed terms are present the relative importance of each term is studied for different initial subsonic mach numbers m_s and different magnetic guide fields bf b_0 the dominant contribution to the energy cascade rate comes from the compressible flux which depends weakly on the magnetic guide field bf b_0 unlike the other terms whose modulus increase significantly with m_s and bf b_0 in particular for strong bf b_0 the source and hybrid terms are dominant at small scales with almost the same amplitude but with a different sign a statistical analysis made with an isotropic decomposition based on the so3 rotation group is shown to generate spurious results in presence of bf b_0 when compared with an axisymmetric decomposition better suited to the geometry of the problem our numerical results are compared with previous analyses made with insitu measurements in the solar wind and the terrestrial magnetosheath | [['threedimensional', 'direct', 'numerical', 'simulations', 'are', 'used', 'to', 'study', 'the', 'energy', 'cascade', 'rate', 'in', 'isothermal', 'compressible', 'magnetohydrodynamic', 'turbulence', 'our', 'analysis', 'is', 'guided', 'by', 'a', 'twopoint', 'exact', 'law', 'derived', 'recently', 'for', 'this', 'problem', 'in', 'which', 'flux', 'source', 'hybrid', 'and', 'mixed', 'terms', 'are', 'present', 'the', 'relative', 'importance', 'of', 'each', 'term', 'is', 'studied', 'for', 'different', 'initial', 'subsonic', 'mach', 'numbers', 'm_s', 'and', 'different', 'magnetic', 'guide', 'fields', 'bf', 'b_0', 'the', 'dominant', 'contribution', 'to', 'the', 'energy', 'cascade', 'rate', 'comes', 'from', 'the', 'compressible', 'flux', 'which', 'depends', 'weakly', 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1,802.05504 | The spectral dimension controls the decay of the quantum first detection
probability | We consider a quantum system that is initially localized at $x_{in}$ and that
is repeatedly projectively probed with a fixed period $\tau$ at position $x_d$.
We ask for the probability that the system is detected in $x_d$ for the very
first time, $F_n$, where $n$ is the number of detection attempts. We relate the
asymptotic decay and oscillations of $F_n$ with the system's energy spectrum,
which is assumed to be absolutely continuous. In particular $F_n$ is determined
by the Hamiltonian's measurement spectral density of states (MSDOS) $f(E)$ that
is closely related to the density of energy states (DOS). We find that $F_n$
decays like a power law whose exponent is determined by the power law exponent
$d_S$ of $f(E)$ around its singularities $E^*$. Our findings are analogous to
the classical first passage theory of random walks. In contrast to the
classical case, the decay of $F_n$ is accompanied by oscillations with
frequencies that are determined by the singularities $E^*$. This gives rise to
critical detection periods $\tau_c$ at which the oscillations disappear. In the
ordinary case $d_S$ can be identified with the spectral dimension found in the
DOS. Furthermore, the singularities $E^*$ are the van Hove singularities of the
DOS in this case. We find that the asymptotic statistics of $F_n$ depend
crucially on the initial and detection state and can be wildly different for
out-of-the-ordinary states, which is in sharp contrast to the classical theory.
The properties of the first detection probabilities can alternatively be
derived from the transition amplitudes. All our results are confirmed by
numerical simulations of the tight-binding model, and of a free particle in
continuous space both with a normal and with an anomalous dispersion relation.
We provide explicit asymptotic formulae for the first detection probability in
these models.
| cond-mat.stat-mech quant-ph | we consider a quantum system that is initially localized at x_in and that is repeatedly projectively probed with a fixed period tau at position x_d we ask for the probability that the system is detected in x_d for the very first time f_n where n is the number of detection attempts we relate the asymptotic decay and oscillations of f_n with the systems energy spectrum which is assumed to be absolutely continuous in particular f_n is determined by the hamiltonians measurement spectral density of states msdos fe that is closely related to the density of energy states dos we find that f_n decays like a power law whose exponent is determined by the power law exponent d_s of fe around its singularities e our findings are analogous to the classical first passage theory of random walks in contrast to the classical case the decay of f_n is accompanied by oscillations with frequencies that are determined by the singularities e this gives rise to critical detection periods tau_c at which the oscillations disappear in the ordinary case d_s can be identified with the spectral dimension found in the dos furthermore the singularities e are the van hove singularities of the dos in this case we find that the asymptotic statistics of f_n depend crucially on the initial and detection state and can be wildly different for outoftheordinary states which is in sharp contrast to the classical theory the properties of the first detection probabilities can alternatively be derived from the transition amplitudes all our results are confirmed by numerical simulations of the tightbinding model and of a free particle in continuous space both with a normal and with an anomalous dispersion relation we provide explicit asymptotic formulae for the first detection probability in these models | [['we', 'consider', 'a', 'quantum', 'system', 'that', 'is', 'initially', 'localized', 'at', 'x_in', 'and', 'that', 'is', 'repeatedly', 'projectively', 'probed', 'with', 'a', 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1,802.05505 | Quantum state engineering with a trapped atom and a set of static
impurities | Hybrid systems of ultracold atoms and trapped ions or Rydberg atoms can be
useful for quantum simulation purposes. By tuning the geometric arrangement of
the impurities it is possible to mimic solid state and molecular systems. Here
we study a single trapped atom interacting with a set of arbitrarily arranged
static impurities and show that the problem admits an analytical solution. We
analyze in detail the case of two impurities, finding multiple trap-induced
resonances which can be used for entanglement generation. Our results serve as
a building block for the studies of quantum dynamics of complex systems.
| quant-ph cond-mat.quant-gas physics.atom-ph | hybrid systems of ultracold atoms and trapped ions or rydberg atoms can be useful for quantum simulation purposes by tuning the geometric arrangement of the impurities it is possible to mimic solid state and molecular systems here we study a single trapped atom interacting with a set of arbitrarily arranged static impurities and show that the problem admits an analytical solution we analyze in detail the case of two impurities finding multiple trapinduced resonances which can be used for entanglement generation our results serve as a building block for the studies of quantum dynamics of complex systems | [['hybrid', 'systems', 'of', 'ultracold', 'atoms', 'and', 'trapped', 'ions', 'or', 'rydberg', 'atoms', 'can', 'be', 'useful', 'for', 'quantum', 'simulation', 'purposes', 'by', 'tuning', 'the', 'geometric', 'arrangement', 'of', 'the', 'impurities', 'it', 'is', 'possible', 'to', 'mimic', 'solid', 'state', 'and', 'molecular', 'systems', 'here', 'we', 'study', 'a', 'single', 'trapped', 'atom', 'interacting', 'with', 'a', 'set', 'of', 'arbitrarily', 'arranged', 'static', 'impurities', 'and', 'show', 'that', 'the', 'problem', 'admits', 'an', 'analytical', 'solution', 'we', 'analyze', 'in', 'detail', 'the', 'case', 'of', 'two', 'impurities', 'finding', 'multiple', 'trapinduced', 'resonances', 'which', 'can', 'be', 'used', 'for', 'entanglement', 'generation', 'our', 'results', 'serve', 'as', 'a', 'building', 'block', 'for', 'the', 'studies', 'of', 'quantum', 'dynamics', 'of', 'complex', 'systems']] | [-0.14610697565235428, 0.1815737263437843, -0.022611293298451556, 0.03749477200854579, 0.04519975527439305, -0.2028841960397501, 0.0463452704740477, 0.37548972101709277, -0.2347357933668746, -0.2768813881869476, 0.03742667078160556, -0.29624982573783276, -0.12058921251205977, 0.19942188925186613, 0.028283376858171227, 0.07188504913668196, 0.09699631001339439, -0.004729736500333265, -0.01386150491925571, -0.2289138343569237, 0.2891926513792774, 0.05235038633151076, 0.24279550745718412, 0.057631195903294866, 0.0690099284024045, 0.011401784299037506, 0.11160802201502332, 0.03398010970006898, -0.11426011335799896, 0.14215880006278106, 0.2806055415229699, 0.04541974826763893, 0.20995777642796026, -0.5078856155621944, -0.23199891270205533, 0.09842567208232646, 0.20907137109465973, 0.22329536575185538, -0.1033652321358701, -0.3058636262220782, 0.0032821938817955785, -0.1491531012771824, -0.18108052562576593, -0.1321770507703084, -0.005464599150972268, 0.04604125424461036, -0.28988790600416586, 0.013396561625845654, 0.059319685301479415, 0.06072817785070114, -0.06149171749321917, -0.05447293061897466, 0.04097582831661956, 0.10703470085785945, -0.07252460844171493, -0.014739353024909637, 0.1874037865284091, -0.08256725109897592, -0.1444885615480238, 0.4235955592552104, -0.07100502087388993, -0.21427009822128668, 0.22216175681282527, -0.07368972312332582, -0.08824599845834154, 0.08199876783290859, 0.17563575421719207, 0.1330356764626334, -0.13839627966553586, 0.04934169228018271, -0.0690910634152668, 0.1857566041571866, 0.057009580093868, 0.09255427717874498, 0.2750464354008052, 0.17741886302636764, 0.043648993990086406, 0.19897649441989734, -0.07749067085372649, -0.1289907360705067, -0.23880393046120027, -0.21820314935427734, -0.2265892098993831, 0.03926870541781494, -0.052285903541055584, -0.16538277448028368, 0.36080581399122463, 0.1167765990398901, 0.16010385186209813, -0.08001378095185518, 0.2561867600402881, 0.10468234371807374, 0.015665258809002405, 0.011335851067734748, 0.2134900687780884, 0.12742681647698903, 0.03538913531324912, -0.2669568173971373, 0.012139031281886795, 0.01740372759414856] |
1,802.05506 | Universal Super Vector Bundles | A new generalization of Grassmannians, called {\nu}-grassmannians, and a
canonical super vector bundle over this new space, say {\Gamma}, are
introduced. Then, constructing a Gauss supermap of a super vector bundle, the
universal property of {\Gamma} is discussed. Finally, we generalize one of the
main theorems of homotopy classification for vector bundles in supergeometry.
| math.DG | a new generalization of grassmannians called nugrassmannians and a canonical super vector bundle over this new space say gamma are introduced then constructing a gauss supermap of a super vector bundle the universal property of gamma is discussed finally we generalize one of the main theorems of homotopy classification for vector bundles in supergeometry | [['a', 'new', 'generalization', 'of', 'grassmannians', 'called', 'nugrassmannians', 'and', 'a', 'canonical', 'super', 'vector', 'bundle', 'over', 'this', 'new', 'space', 'say', 'gamma', 'are', 'introduced', 'then', 'constructing', 'a', 'gauss', 'supermap', 'of', 'a', 'super', 'vector', 'bundle', 'the', 'universal', 'property', 'of', 'gamma', 'is', 'discussed', 'finally', 'we', 'generalize', 'one', 'of', 'the', 'main', 'theorems', 'of', 'homotopy', 'classification', 'for', 'vector', 'bundles', 'in', 'supergeometry']] | [-0.16121493548787427, 0.12552617166415383, -0.06815643366074788, 0.10026331184396767, -0.1533191795197298, -0.1509860515383617, 0.008087509294163506, 0.33087056411324806, -0.3197488198583981, -0.11225861079171563, 0.07376349211081792, -0.1864426296274617, -0.2147573774926505, 0.20274054076311723, -0.15983786777030887, -0.002039017129408301, 0.026584179316348624, 0.15707683732803418, -0.14509837023632707, -0.24742350527436807, 0.4557776303329277, -0.0005485585820421858, 0.24215039090158139, 0.017146648782006692, 0.18463914011130636, 0.046731797275397016, -0.05477886678615831, -0.004351204657105659, -0.11529881426326509, 0.19067777875143122, 0.24572220223270497, 0.13730783092806925, 0.23044658712339852, -0.2867901286215715, -0.18873375362523323, 0.21210789231513189, 0.11963361548040202, -0.030983297804475955, -0.004845094726473655, -0.2596665823937587, 0.11169888675273264, -0.14939994393092282, -0.15705076984639438, -0.12125214015326972, 0.0488524253146266, 0.00719967718183432, -0.22955317856779076, -0.0751292160624322, 0.11822453673647822, 0.08222619303692141, -0.07977880926732465, -0.08144636963986142, -0.04056273848872702, 0.0026081471027419815, -0.0054673248647167435, 0.09795002553190263, 0.07859902256080564, -0.09714927135544987, -0.2001330346277616, 0.3693344286590252, -0.07926606159011465, -0.24991951496252474, 0.07534986503316828, -0.08928764323299786, -0.229882002008622, 0.12057827239118095, 0.14623463803568398, 0.18101658816185762, -0.04545039446356724, 0.13565983009889265, -0.14010991138089798, 0.015278149079882874, 0.09855010856891859, -0.01698354394438694, 0.16411559202901596, 0.16896403219137904, 0.045745239065924904, 0.14440423833592883, -0.052181615652340765, -0.07849440702571059, -0.4093568690718626, -0.307368342395661, -0.08015025807720311, 0.13290501812929814, -0.11121437020291232, -0.17674311920385458, 0.41100193513557315, 0.0346063041954108, 0.24803867881660754, 0.13414570159401815, 0.22354141168103045, 0.05803292713409184, 0.05851565828582026, 0.03904047387845393, 0.19905525493382845, 0.3046636745017373, 0.013673301037172523, -0.04562838268598085, -0.12543975974802138, 0.2301463233438795] |
1,802.05507 | Surfaces in Laguerre Geometry | This exposition gives an introduction to the theory of surfaces in Laguerre
geometry and surveys some results, mostly obtained by the authors, about three
important classes of surfaces in Laguerre geometry, namely L-isothermic,
L-minimal, and generalized L-minimal surfaces. The quadric model of Lie sphere
geometry is adopted for Laguerre geometry and the method of moving frames is
used throughout. As an example, the Cartan-Kaehler theorem is applied to study
the Cauchy problem for the Pfaffian differential system of L-minimal surfaces.
This is an elaboration of the talks given by the authors at IMPAN, Warsaw, in
September 2016. The objective was to illustrate, by the subject of Laguerre
surface geometry, some of the topics presented in a series of lectures held at
IMPAN by G. R. Jensen on Lie sphere geometry and by B. McKay on exterior
differential systems.
| math.DG | this exposition gives an introduction to the theory of surfaces in laguerre geometry and surveys some results mostly obtained by the authors about three important classes of surfaces in laguerre geometry namely lisothermic lminimal and generalized lminimal surfaces the quadric model of lie sphere geometry is adopted for laguerre geometry and the method of moving frames is used throughout as an example the cartankaehler theorem is applied to study the cauchy problem for the pfaffian differential system of lminimal surfaces this is an elaboration of the talks given by the authors at impan warsaw in september 2016 the objective was to illustrate by the subject of laguerre surface geometry some of the topics presented in a series of lectures held at impan by g r jensen on lie sphere geometry and by b mckay on exterior differential systems | [['this', 'exposition', 'gives', 'an', 'introduction', 'to', 'the', 'theory', 'of', 'surfaces', 'in', 'laguerre', 'geometry', 'and', 'surveys', 'some', 'results', 'mostly', 'obtained', 'by', 'the', 'authors', 'about', 'three', 'important', 'classes', 'of', 'surfaces', 'in', 'laguerre', 'geometry', 'namely', 'lisothermic', 'lminimal', 'and', 'generalized', 'lminimal', 'surfaces', 'the', 'quadric', 'model', 'of', 'lie', 'sphere', 'geometry', 'is', 'adopted', 'for', 'laguerre', 'geometry', 'and', 'the', 'method', 'of', 'moving', 'frames', 'is', 'used', 'throughout', 'as', 'an', 'example', 'the', 'cartankaehler', 'theorem', 'is', 'applied', 'to', 'study', 'the', 'cauchy', 'problem', 'for', 'the', 'pfaffian', 'differential', 'system', 'of', 'lminimal', 'surfaces', 'this', 'is', 'an', 'elaboration', 'of', 'the', 'talks', 'given', 'by', 'the', 'authors', 'at', 'impan', 'warsaw', 'in', 'september', '2016', 'the', 'objective', 'was', 'to', 'illustrate', 'by', 'the', 'subject', 'of', 'laguerre', 'surface', 'geometry', 'some', 'of', 'the', 'topics', 'presented', 'in', 'a', 'series', 'of', 'lectures', 'held', 'at', 'impan', 'by', 'g', 'r', 'jensen', 'on', 'lie', 'sphere', 'geometry', 'and', 'by', 'b', 'mckay', 'on', 'exterior', 'differential', 'systems']] | [-0.11380621973241604, 0.021045651428217075, -0.0943905905392157, 0.048654117541605216, -0.060195072302526804, -0.11728875030743054, -0.040718122069548855, 0.3068325203999768, -0.23042796397527313, -0.302009625550713, 0.12132342962758874, -0.28259264460907585, -0.18893904962583724, 0.23190757948191443, -0.16890114550580726, 0.014652259838189522, 0.019527461937200414, 0.028732201973329822, -0.08859491830243028, -0.3190542681917657, 0.37151454437700826, 0.07452254254374327, 0.22784902043232735, 0.03554242320467521, 0.08574018171176069, 0.048038904210144694, -0.056421079502923646, -0.03225802995237338, -0.1770619890927915, 0.1673905763997744, 0.2729870575704496, 0.07536841010297547, 0.2312787716501277, -0.3940816125798508, -0.17171765511080514, 0.021671623095231008, 0.06181176169945376, 0.022273023603450046, -0.007211659635573517, -0.3159188043366927, 0.0025008651257975257, -0.10677374776344012, -0.18030217224324163, -0.005049079248722452, 0.03898610110754949, 0.03953900777507084, -0.16697339298217184, 0.04286461543754069, 0.10606981822065194, 0.1477498360467653, -0.04470005435261529, -0.12757742353867957, -0.01789169335044431, 0.06147893555258421, 0.017850364829467977, 0.02471907995471282, 0.08443998240858969, -0.07554358068469531, -0.12413503783653035, 0.37154365243070697, -0.026752686119522816, -0.22347231621235392, 0.12271901280075366, -0.14100664896876924, -0.11633526996614235, 0.11687669545806346, 0.1878859544424408, 0.1595085800088344, -0.13723196893468173, 0.157670477396693, -0.05273823025058547, 0.08281157875389378, 0.14767639256714687, -0.10231886847610891, 0.18949221534124255, 0.06991917565023105, 0.0274378781981875, 0.1413565937541833, -0.03150155918713469, -0.09696746960853356, -0.3710860073240134, -0.18121721213479547, -0.17372351919511592, 0.05406967744768264, -0.06080896567075724, -0.1382269780389475, 0.3786788210680668, 0.04574088355607904, 0.15238765764634812, -0.01695473224475273, 0.18706221276907808, 0.08783776800566265, 0.006697493221230098, 0.04867396218851752, 0.17033419581546522, 0.22875736837520053, 0.10271527288467998, -0.12449216447009222, -0.03891350844548675, 0.19879292799363824] |
1,802.05508 | NNLO classical solution for Lipatov's effective action for reggeized
gluons | We consider the formalism of small-x effective action for reggeized gluons,
Gribov (Sov Phys JETP 26:414, 1968), Lipatov (Nucl Phys B 452:369, 1995; Phys
Rep 286:131, 1997; Subnucl Ser 49:131, 2013, Int J Mod Phys Conf Ser
39:1560082, 2015; Int J Mod Phys A 31(28/29):1645011, 2016; EPJ Web Conf
125:01010, 2016) and Lipatov et al. (Sov J Nucl Phys 23:338, 1976; Sov Phys
JETP 45:199, 1977; Sov J Nucl Phys 28:822, 1978), and, following to the
approach developed in Bondarenko et al. (Eur Phys J C 77(8):527, 2017, Eur Phys
J C 77(9):630, 2017), calculate the classical gluon field to NNLO precision
with fermion loops included. It is demonstrated, that the the self-consistency
of the equations of motion in each perturbatie order in the approach is
equivalent to the transversality conditions applied to the solutions of the
equations in the lower orders, that allows to construct the solutions with the
help of some recursive scheme. Applications of the obtained results are also
discussed.
| hep-ph | we consider the formalism of smallx effective action for reggeized gluons gribov sov phys jetp 26414 1968 lipatov nucl phys b 452369 1995 phys rep 286131 1997 subnucl ser 49131 2013 int j mod phys conf ser 391560082 2015 int j mod phys a 3128291645011 2016 epj web conf 12501010 2016 and lipatov et al sov j nucl phys 23338 1976 sov phys jetp 45199 1977 sov j nucl phys 28822 1978 and following to the approach developed in bondarenko et al eur phys j c 778527 2017 eur phys j c 779630 2017 calculate the classical gluon field to nnlo precision with fermion loops included it is demonstrated that the the selfconsistency of the equations of motion in each perturbatie order in the approach is equivalent to the transversality conditions applied to the solutions of the equations in the lower orders that allows to construct the solutions with the help of some recursive scheme applications of the obtained results are also discussed | [['we', 'consider', 'the', 'formalism', 'of', 'smallx', 'effective', 'action', 'for', 'reggeized', 'gluons', 'gribov', 'sov', 'phys', 'jetp', '26414', '1968', 'lipatov', 'nucl', 'phys', 'b', '452369', '1995', 'phys', 'rep', '286131', '1997', 'subnucl', 'ser', '49131', '2013', 'int', 'j', 'mod', 'phys', 'conf', 'ser', '391560082', '2015', 'int', 'j', 'mod', 'phys', 'a', '3128291645011', '2016', 'epj', 'web', 'conf', '12501010', '2016', 'and', 'lipatov', 'et', 'al', 'sov', 'j', 'nucl', 'phys', '23338', '1976', 'sov', 'phys', 'jetp', '45199', '1977', 'sov', 'j', 'nucl', 'phys', '28822', '1978', 'and', 'following', 'to', 'the', 'approach', 'developed', 'in', 'bondarenko', 'et', 'al', 'eur', 'phys', 'j', 'c', '778527', '2017', 'eur', 'phys', 'j', 'c', '779630', '2017', 'calculate', 'the', 'classical', 'gluon', 'field', 'to', 'nnlo', 'precision', 'with', 'fermion', 'loops', 'included', 'it', 'is', 'demonstrated', 'that', 'the', 'the', 'selfconsistency', 'of', 'the', 'equations', 'of', 'motion', 'in', 'each', 'perturbatie', 'order', 'in', 'the', 'approach', 'is', 'equivalent', 'to', 'the', 'transversality', 'conditions', 'applied', 'to', 'the', 'solutions', 'of', 'the', 'equations', 'in', 'the', 'lower', 'orders', 'that', 'allows', 'to', 'construct', 'the', 'solutions', 'with', 'the', 'help', 'of', 'some', 'recursive', 'scheme', 'applications', 'of', 'the', 'obtained', 'results', 'are', 'also', 'discussed']] | [-0.06133215511905267, 0.04835830797322545, -0.0601854324965869, -0.13785890860001762, -0.09111726741562753, -0.08170582017792552, 0.09115707513019942, 0.22460499587125027, -0.05085707809026009, -0.37480244808361535, -0.09697568717165757, -0.2505948471653333, -0.15356846271245272, 0.12494830884064403, -0.21013254514151572, 0.029679541388564063, 0.03617748841893353, -0.106364891076798, -0.013009458239621564, -0.3922803981570314, 0.0828078019889009, 0.13148645718500718, 0.2576508867525458, 0.0837257553498267, 0.09791639333453354, 0.15242788869725077, -0.1293153916735627, -0.06517409560764396, -0.2732624927221761, 0.02856996020180292, 0.2586699728322709, 0.049712331604600056, 0.1974214321164877, -0.31542170605928505, -0.1571348690265327, 0.020280054601646908, -0.02211065568192393, 0.08945430024377002, 0.1744620746514141, -0.42189966144052726, 0.05006433402081864, -0.2999692655843526, -0.11836383166729204, -0.13935304108707097, 0.2992083121367711, -0.010389220557056817, -0.3695359655699674, 0.2155845569444339, 0.08568936284950265, 0.0402613618042345, 0.0349165099737822, -0.21122563214060044, -0.048442960971491346, -0.0871988361351342, -0.05899242262727887, 0.21018577569544053, 0.008099857383351398, -0.02797197066434978, -0.20093537079507873, 0.30461571159641315, -0.020051751214692107, -0.0793687006546147, 0.23662354464286425, -0.024823982012301883, -0.16745870158813844, 0.08778413931289125, 0.10586944157601452, 0.16310548011722176, -0.2154472533788457, 0.3062717291962468, -0.09452189874191512, 0.0962718067426647, 0.22134143933216296, -0.09356198559246408, 0.03845118322478445, 0.009687054461655801, -0.1525850411388873, 0.015339527933877087, -0.0885964069584222, -0.131474015375618, -0.3300997302117414, -0.19981345024580333, -0.16927054255963273, 0.09801967020752846, 0.10154711322928467, -0.0459300519104722, 0.3515303881031775, 0.1879334949381218, 0.17285724208790235, -0.06995186263432839, 0.06263558242951313, 0.14917010860205096, -0.0922398640732781, 0.3155751263960296, 0.29605609022066054, 0.28341313873436424, 0.22718239869397358, -0.23318038572832292, -0.18465726611973254, 0.23451484862133712] |
1,802.05509 | On the thin film Muskat and the thin film Stokes equations | The present paper is concerned with the analysis of two strongly coupled
systems of degenerate parabolic partial differential equations arising in
multiphase thin film flows. In particular, we consider the two-phase thin film
Muskat problem and the two-phase thin film approximation of the Stokes flow
under the influence of both, capillary and gravitational forces. The existence
of global weak solutions for medium size initial data in large function spaces
is proved. Moreover, exponential decay results towards the equilibrium state
are established, where the decay rate can be estimated by explicit constants
depending on the physical parameters of the system. Eventually, it is shown
that if the initial datum satisfies additional (low order) Sobolev regularity,
we can propagate Sobolev regularity for the corresponding solution. The proofs
are based on a priori energy estimates in Wiener and Sobolev spaces.
| math.AP | the present paper is concerned with the analysis of two strongly coupled systems of degenerate parabolic partial differential equations arising in multiphase thin film flows in particular we consider the twophase thin film muskat problem and the twophase thin film approximation of the stokes flow under the influence of both capillary and gravitational forces the existence of global weak solutions for medium size initial data in large function spaces is proved moreover exponential decay results towards the equilibrium state are established where the decay rate can be estimated by explicit constants depending on the physical parameters of the system eventually it is shown that if the initial datum satisfies additional low order sobolev regularity we can propagate sobolev regularity for the corresponding solution the proofs are based on a priori energy estimates in wiener and sobolev spaces | [['the', 'present', 'paper', 'is', 'concerned', 'with', 'the', 'analysis', 'of', 'two', 'strongly', 'coupled', 'systems', 'of', 'degenerate', 'parabolic', 'partial', 'differential', 'equations', 'arising', 'in', 'multiphase', 'thin', 'film', 'flows', 'in', 'particular', 'we', 'consider', 'the', 'twophase', 'thin', 'film', 'muskat', 'problem', 'and', 'the', 'twophase', 'thin', 'film', 'approximation', 'of', 'the', 'stokes', 'flow', 'under', 'the', 'influence', 'of', 'both', 'capillary', 'and', 'gravitational', 'forces', 'the', 'existence', 'of', 'global', 'weak', 'solutions', 'for', 'medium', 'size', 'initial', 'data', 'in', 'large', 'function', 'spaces', 'is', 'proved', 'moreover', 'exponential', 'decay', 'results', 'towards', 'the', 'equilibrium', 'state', 'are', 'established', 'where', 'the', 'decay', 'rate', 'can', 'be', 'estimated', 'by', 'explicit', 'constants', 'depending', 'on', 'the', 'physical', 'parameters', 'of', 'the', 'system', 'eventually', 'it', 'is', 'shown', 'that', 'if', 'the', 'initial', 'datum', 'satisfies', 'additional', 'low', 'order', 'sobolev', 'regularity', 'we', 'can', 'propagate', 'sobolev', 'regularity', 'for', 'the', 'corresponding', 'solution', 'the', 'proofs', 'are', 'based', 'on', 'a', 'priori', 'energy', 'estimates', 'in', 'wiener', 'and', 'sobolev', 'spaces']] | [-0.15348662483296868, 0.10862899255806267, -0.06682513042074377, 0.06083849751489087, -0.06963946969574657, -0.11316553420679522, -0.026873815023802546, 0.3269817158154953, -0.32520380277648897, -0.23210414004236812, 0.16473858023103136, -0.26582798505555433, -0.0654946749887164, 0.18770649047554844, -0.03532652642504224, 0.12290617088739672, 0.05791002281866696, -0.012143611644537453, -0.07137397945056377, -0.21526595814676996, 0.41620197430436573, -0.03252938227306535, 0.2781252360691989, 0.05253420901496684, 0.09959134847404992, -0.046957393292419235, 6.0002537049951344e-05, 0.01574458326994829, -0.23770530615708269, 0.06351050365304942, 0.21795090488634025, 0.00012233148390141716, 0.273656607325366, -0.4593503464992246, -0.21851117334525733, 0.09397711031084513, 0.13794882232527228, 0.08963178051295724, -0.05901850514151292, -0.28071843931811735, 0.09766764279937602, -0.0841763601808326, -0.17720079736063515, -0.04673317135617572, -0.0001759203371802603, 0.09862619885209485, -0.31954042799388443, 0.12286495772210786, 0.08208273621921829, 0.01821091962658739, -0.16192490324704317, -0.07715591096513001, -0.06402462984632401, 0.06168379355221987, 0.08323744691510677, 0.005632063815791677, 0.11940655201320013, -0.14610570660676725, -0.014980874758512869, 0.3479317644828536, -0.10072988249874762, -0.2457537861119439, 0.16313780943971862, -0.14504330412545888, -0.060548297568040824, 0.15519022023012985, 0.19291124559163939, 0.138091104363438, -0.12788125348488127, 0.1273802064457334, -0.07628568070498805, 0.19188966311813488, 0.08208185068610376, 0.022756294262371142, 0.09328406846089574, 0.16835558211369725, 0.1327925778884631, 0.13802676278856468, -0.04013277344570502, -0.11646353469967814, -0.33535861707951903, -0.15248506419007143, -0.13833344255975127, 0.07611476139413587, -0.14765199119075165, -0.19536511027691783, 0.33099948143736074, 0.08430830878375546, 0.14326998379326214, 0.03737222455802244, 0.22857975357477248, 0.1597512050839413, -0.03805445277057316, 0.09460916559386745, 0.2888674925278573, 0.1594545504870233, 0.14727618284283434, -0.20399863935707913, 0.10928594021561698, 0.14354863051107547] |
1,802.0551 | Neutron star equation of state from the quark level in the light of
GW170817 | Matter state inside neutron stars is an exciting problem in astrophysics,
nuclear physics and particle physics. The equation of state (EOS) of neutron
stars plays a crucial role in the present multimessenger astronomy, especially
after the event of GW170817. We propose a new neutron star EOS "QMF18" from the
quark level, which describes well robust observational constraints from
free-space nucleon, nuclear matter saturation, heavy pulsar measurements and
the tidal deformability of the very recent GW170817 observation. For this
purpose, we employ the quark-mean-field (QMF) model, allowing one to tune the
density dependence of the symmetry energy and study effectively its
correlations with the Love number and the tidal deformability. We provide
tabulated data for the new EOS and compare it with other recent EOSs from
various many-body frameworks.
| nucl-th astro-ph.HE astro-ph.SR | matter state inside neutron stars is an exciting problem in astrophysics nuclear physics and particle physics the equation of state eos of neutron stars plays a crucial role in the present multimessenger astronomy especially after the event of gw170817 we propose a new neutron star eos qmf18 from the quark level which describes well robust observational constraints from freespace nucleon nuclear matter saturation heavy pulsar measurements and the tidal deformability of the very recent gw170817 observation for this purpose we employ the quarkmeanfield qmf model allowing one to tune the density dependence of the symmetry energy and study effectively its correlations with the love number and the tidal deformability we provide tabulated data for the new eos and compare it with other recent eoss from various manybody frameworks | [['matter', 'state', 'inside', 'neutron', 'stars', 'is', 'an', 'exciting', 'problem', 'in', 'astrophysics', 'nuclear', 'physics', 'and', 'particle', 'physics', 'the', 'equation', 'of', 'state', 'eos', 'of', 'neutron', 'stars', 'plays', 'a', 'crucial', 'role', 'in', 'the', 'present', 'multimessenger', 'astronomy', 'especially', 'after', 'the', 'event', 'of', 'gw170817', 'we', 'propose', 'a', 'new', 'neutron', 'star', 'eos', 'qmf18', 'from', 'the', 'quark', 'level', 'which', 'describes', 'well', 'robust', 'observational', 'constraints', 'from', 'freespace', 'nucleon', 'nuclear', 'matter', 'saturation', 'heavy', 'pulsar', 'measurements', 'and', 'the', 'tidal', 'deformability', 'of', 'the', 'very', 'recent', 'gw170817', 'observation', 'for', 'this', 'purpose', 'we', 'employ', 'the', 'quarkmeanfield', 'qmf', 'model', 'allowing', 'one', 'to', 'tune', 'the', 'density', 'dependence', 'of', 'the', 'symmetry', 'energy', 'and', 'study', 'effectively', 'its', 'correlations', 'with', 'the', 'love', 'number', 'and', 'the', 'tidal', 'deformability', 'we', 'provide', 'tabulated', 'data', 'for', 'the', 'new', 'eos', 'and', 'compare', 'it', 'with', 'other', 'recent', 'eoss', 'from', 'various', 'manybody', 'frameworks']] | [-0.07066712746514923, 0.19232190797017196, -0.1482088187827714, 0.12059634454577925, -0.17432438451538068, -0.05526897150077044, 0.03528863830041022, 0.2876829533645558, -0.2071605764536394, -0.365792006860295, 0.016920264701299842, -0.2905833263671772, -0.035960460377354474, 0.19443122501806578, 0.0466163676668195, 0.06965617218659081, 0.12020505282340482, 0.054020082687317866, -0.08918901283057436, -0.17126615352488386, 0.3544486338071274, 0.07658481911297828, 0.19586673976774033, 0.0641446449823441, 0.07174997433506337, 0.028219994752564363, -0.029944087818471923, -0.07370648161315965, -0.1929204066575963, 0.05943985550113702, 0.2631657360401559, 0.1546074619788366, 0.1953454262554823, -0.4700212251720211, -0.2399561130996084, 0.06844841473410646, 0.07318960576473425, 0.13949340270875607, -0.1246093217771323, -0.3110421308804126, -0.002514660506257935, -0.3159336609662407, -0.1565160186924798, -0.07968656820732922, 0.03818250615297565, 0.05381080095234904, -0.21683008241280544, 0.11503568278913874, 0.00711488251164112, -0.03494496690848517, -0.12972672200218463, -0.1660962750883921, 0.04472173840252845, 0.0457057619193894, 0.08378539808669187, 0.08476525946037053, 0.14297749204949164, -0.2346749039318797, -0.04650082496467919, 0.43331179338403875, -0.020324045031826707, -0.08604359223196904, 0.1625470751046484, -0.18333569468213393, -0.1844843054700288, 0.07210308764617712, 0.16986147128784704, 0.11044637339618353, -0.1566686290944557, 0.04876943001484809, 0.03261897565209351, 0.19260871529741774, 0.017449440087176978, 0.06120880379337847, 0.324467617800341, 0.24619731921305332, 0.0035066386344768698, 0.09724856740915187, -0.18486299217560342, -0.06940549882941895, -0.2875891546238332, -0.06295490880092118, -0.13592231023450574, 0.014250718249333284, -0.11547509730100125, -0.098975878539643, 0.36733964896420873, 0.11544278825056695, 0.12016828185583037, -0.05000795123799305, 0.30509017115192755, 0.07748906994293932, 0.0099582699024015, 0.08692091436398822, 0.3228496719476959, 0.2275997644275545, 0.11738324257737351, -0.29129795947237797, 0.07026479105531637, 0.011055772089295916] |
1,802.05511 | Charge Symmetry Breaking Effects in Pion and Kaon Structure | Charge symmetry breaking (CSB) effects associated with the $u$ and $d$ quark
mass difference are investigated in the quark distribution functions and
spacelike electromagnetic form factors of the pion and kaon. We use a confining
version of the Nambu--Jona-Lasinio model, where CSB effects at the infrared
scale associated with the model are driven by the dressed $u$ and $d$ quark
mass ratio, which because of dynamical chiral symmetry breaking is much closer
to unity than the associated current quark mass ratio. The pion and kaon are
given as bound states of a dressed quark and a dressed antiquark governed by
the Bethe-Salpeter equation, and exhibit the properties of Goldstone bosons,
with a pion mass difference given by $m_{\pi^+}^2 - m_{\pi^0}^2 \propto (m_u -
m_d)^2$ as demanded by dynamical chiral symmetry breaking. We find significant
CSB effects for realistic current quark mass ratios ($m_u/m_d \sim 0.5$) in the
quark flavor-sector electromagnetic form factors of both the pion and kaon. For
example, the difference between the $u$ and $d$ quark contributions to the
$\pi^+$ electromagnetic form factors is about 8\% at a momentum transfer of
$Q^2 \simeq 10\,$GeV$^2$, while the analogous effect for the light quark sector
form factors in the $K^+$ and $K^0$ is about twice as large. For the Parton
distribution functions, we find CSB effects which are considerably smaller than
those found in the electromagnetic form factors.
| nucl-th hep-ph | charge symmetry breaking csb effects associated with the u and d quark mass difference are investigated in the quark distribution functions and spacelike electromagnetic form factors of the pion and kaon we use a confining version of the nambujonalasinio model where csb effects at the infrared scale associated with the model are driven by the dressed u and d quark mass ratio which because of dynamical chiral symmetry breaking is much closer to unity than the associated current quark mass ratio the pion and kaon are given as bound states of a dressed quark and a dressed antiquark governed by the bethesalpeter equation and exhibit the properties of goldstone bosons with a pion mass difference given by m_pi2 m_pi02 propto m_u m_d2 as demanded by dynamical chiral symmetry breaking we find significant csb effects for realistic current quark mass ratios m_um_d sim 05 in the quark flavorsector electromagnetic form factors of both the pion and kaon for example the difference between the u and d quark contributions to the pi electromagnetic form factors is about 8 at a momentum transfer of q2 simeq 10gev2 while the analogous effect for the light quark sector form factors in the k and k0 is about twice as large for the parton distribution functions we find csb effects which are considerably smaller than those found in the electromagnetic form factors | [['charge', 'symmetry', 'breaking', 'csb', 'effects', 'associated', 'with', 'the', 'u', 'and', 'd', 'quark', 'mass', 'difference', 'are', 'investigated', 'in', 'the', 'quark', 'distribution', 'functions', 'and', 'spacelike', 'electromagnetic', 'form', 'factors', 'of', 'the', 'pion', 'and', 'kaon', 'we', 'use', 'a', 'confining', 'version', 'of', 'the', 'nambujonalasinio', 'model', 'where', 'csb', 'effects', 'at', 'the', 'infrared', 'scale', 'associated', 'with', 'the', 'model', 'are', 'driven', 'by', 'the', 'dressed', 'u', 'and', 'd', 'quark', 'mass', 'ratio', 'which', 'because', 'of', 'dynamical', 'chiral', 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1,802.05512 | Intriguing X-ray and optical variations of the gamma Cas analog HD45314 | A growing number of Be and Oe stars, named the gamma Cas stars, are known for
their unusually hard and intense X-ray emission. This emission could either
trace accretion by a compact companion or magnetic interaction between the star
and its decretion disk. To test these scenarios, we carried out a detailed
optical monitoring of HD45314, the hottest member of the class of gamma Cas
stars, along with dedicated X-ray observations on specific dates.
High-resolution optical spectra were taken to monitor the emission lines formed
in the disk, while X-ray spectroscopy was obtained at epochs when the optical
spectrum of the Oe star was displaying peculiar properties. Over the last four
years, HD45314 has entered a phase of spectacular variations. The optical
emission lines have undergone important morphology and intensity changes
including transitions between single- and multiple-peaked emission lines as
well as shell events, and phases of (partial) disk dissipation. Photometric
variations are found to be anti-correlated with the equivalent width of the
H-alpha emission. Whilst the star preserved its hard and bright X-ray emission
during the shell phase, the X-ray spectrum during the phase of (partial) disk
dissipation was significantly softer and weaker. The observed behaviour of
HD45314 suggests a direct association between the level of X-ray emission and
the amount of material simultaneously present in the Oe disk as expected in the
magnetic star-disk interaction scenario.
| astro-ph.SR astro-ph.HE | a growing number of be and oe stars named the gamma cas stars are known for their unusually hard and intense xray emission this emission could either trace accretion by a compact companion or magnetic interaction between the star and its decretion disk to test these scenarios we carried out a detailed optical monitoring of hd45314 the hottest member of the class of gamma cas stars along with dedicated xray observations on specific dates highresolution optical spectra were taken to monitor the emission lines formed in the disk while xray spectroscopy was obtained at epochs when the optical spectrum of the oe star was displaying peculiar properties over the last four years hd45314 has entered a phase of spectacular variations the optical emission lines have undergone important morphology and intensity changes including transitions between single and multiplepeaked emission lines as well as shell events and phases of partial disk dissipation photometric variations are found to be anticorrelated with the equivalent width of the halpha emission whilst the star preserved its hard and bright xray emission during the shell phase the xray spectrum during the phase of partial disk dissipation was significantly softer and weaker the observed behaviour of hd45314 suggests a direct association between the level of xray emission and the amount of material simultaneously present in the oe disk as expected in the magnetic stardisk interaction scenario | [['a', 'growing', 'number', 'of', 'be', 'and', 'oe', 'stars', 'named', 'the', 'gamma', 'cas', 'stars', 'are', 'known', 'for', 'their', 'unusually', 'hard', 'and', 'intense', 'xray', 'emission', 'this', 'emission', 'could', 'either', 'trace', 'accretion', 'by', 'a', 'compact', 'companion', 'or', 'magnetic', 'interaction', 'between', 'the', 'star', 'and', 'its', 'decretion', 'disk', 'to', 'test', 'these', 'scenarios', 'we', 'carried', 'out', 'a', 'detailed', 'optical', 'monitoring', 'of', 'hd45314', 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1,802.05513 | Extreme points of Gram spectrahedra of binary forms | The Gram spectrahedron $\text{Gram}(f)$ of a form $f$ with real coefficients
parametrizes the sum of squares decompositions of $f$, modulo orthogonal
equivalence. For $f$ a sufficiently general positive binary form of arbitrary
degree, we show that $\text{Gram}(f)$ has extreme points of all ranks in the
Pataki range. This is the first example of a family of spectrahedra of
arbitrarily large dimensions with this property. We also calculate the
dimension of the set of rank $r$ extreme points, for any $r$. Moreover, we
determine the pairs of rank two extreme points for which the connecting line
segment is an edge of $\text{Gram}(f)$.
| math.OC math.CO | the gram spectrahedron textgramf of a form f with real coefficients parametrizes the sum of squares decompositions of f modulo orthogonal equivalence for f a sufficiently general positive binary form of arbitrary degree we show that textgramf has extreme points of all ranks in the pataki range this is the first example of a family of spectrahedra of arbitrarily large dimensions with this property we also calculate the dimension of the set of rank r extreme points for any r moreover we determine the pairs of rank two extreme points for which the connecting line segment is an edge of textgramf | [['the', 'gram', 'spectrahedron', 'textgramf', 'of', 'a', 'form', 'f', 'with', 'real', 'coefficients', 'parametrizes', 'the', 'sum', 'of', 'squares', 'decompositions', 'of', 'f', 'modulo', 'orthogonal', 'equivalence', 'for', 'f', 'a', 'sufficiently', 'general', 'positive', 'binary', 'form', 'of', 'arbitrary', 'degree', 'we', 'show', 'that', 'textgramf', 'has', 'extreme', 'points', 'of', 'all', 'ranks', 'in', 'the', 'pataki', 'range', 'this', 'is', 'the', 'first', 'example', 'of', 'a', 'family', 'of', 'spectrahedra', 'of', 'arbitrarily', 'large', 'dimensions', 'with', 'this', 'property', 'we', 'also', 'calculate', 'the', 'dimension', 'of', 'the', 'set', 'of', 'rank', 'r', 'extreme', 'points', 'for', 'any', 'r', 'moreover', 'we', 'determine', 'the', 'pairs', 'of', 'rank', 'two', 'extreme', 'points', 'for', 'which', 'the', 'connecting', 'line', 'segment', 'is', 'an', 'edge', 'of', 'textgramf']] | [-0.2010724377440344, 0.0909655127585877, -0.025031980908577247, 0.008268925172304459, -0.01912736738709235, -0.12458279445343236, 0.022156603394611046, 0.31671312325956796, -0.26391921537273594, -0.21707891169382204, 0.09899443899175281, -0.27849998032803286, -0.15316155544795687, 0.15898486730264555, -0.029777366315858384, 0.031571082780045445, 0.037354914116497974, 0.1124702500834102, -0.10206446452942299, -0.2857900346896731, 0.3955072137056896, -0.04096511755101752, 0.19646668829724634, 0.03164419287004241, 0.14116256516242381, 0.033970790749212894, 0.013379070359180765, 0.038630989285665426, -0.10822394187137137, 0.16554001954817535, 0.25917396735916337, 0.14126093143661791, 0.25461797992984697, -0.3089432469707462, -0.1201160254837521, 0.21384270447721282, 0.09108636670718247, 0.014595731997189325, 0.007621725265047338, -0.1741667316343617, 0.14465732336284057, -0.14263604341508787, -0.1955757824621062, -0.053272708139317754, 0.10030348786835254, 0.036882094416472284, -0.3423430082932262, 0.0022637016104769406, 0.09228145310742836, 0.09396945724798607, -0.038672743445852455, -0.1484158031243628, -0.007573403067665525, 0.08836870703564975, 0.018261872439433148, 0.006427668872990157, 0.031010602665419627, -0.07562163756989718, -0.07442105672723327, 0.35392230119046725, -0.03735600866488006, -0.20269123911119924, 0.16294348823012655, -0.1873965956671809, -0.11966572434521548, 0.12978965150985386, 0.16719179036151063, 0.16133248351461318, -0.052074252627789974, 0.1629899266051442, -0.14612254316890888, 0.12474966725555829, 0.13983249086148963, -0.002105327139235111, 0.1856186127193309, 0.0418911033545132, 0.10769637473997208, 0.15737691617082103, -0.07665351853420091, -0.0028188778825178006, -0.342535652690521, -0.19532595662916502, -0.21821049782608884, 0.08967192118554053, -0.17504944397127348, -0.2179829369455871, 0.41208526331212114, 0.06367016911949261, 0.25332517645755176, 0.09440048036308461, 0.22168424862003563, 0.11576021951983458, 0.04260279672072813, 0.08735468484793264, 0.14602359035167622, 0.1180215373008263, -0.06212074521094524, -0.1493245413674429, 0.018597646667114873, 0.14110383801254453] |
1,802.05514 | Experimental and theoretical study of the B(2)$^2 \Sigma^+ \rightarrow$
X(1)$^2 \Sigma^+$ system in the KSr molecule | Spectral bands for the B(2)$^{2}\Sigma^{+}\rightarrow$ X(1)$^{2}\Sigma^{+}$
electronic transition in the doubly-polar open-shell KSr molecule are recorded
at moderate resolution using the thermoluminescence technique. The spectra are
simulated using three kinds of advanced electronic structure calculations,
allowing for an assessment of their accuracy on one hand, and for the
derivation of fundamental spectroscopic constants of the X(1)$^{2}\Sigma^{+}$
KSr ground state and the excited electronic state B(2)$^{2}\Sigma^{+}$, on the
other hand. These results should facilitate further studies aiming at creating
ultracold bosonic or fermionic KSr molecules.
| physics.atom-ph physics.chem-ph | spectral bands for the b22sigmarightarrow x12sigma electronic transition in the doublypolar openshell ksr molecule are recorded at moderate resolution using the thermoluminescence technique the spectra are simulated using three kinds of advanced electronic structure calculations allowing for an assessment of their accuracy on one hand and for the derivation of fundamental spectroscopic constants of the x12sigma ksr ground state and the excited electronic state b22sigma on the other hand these results should facilitate further studies aiming at creating ultracold bosonic or fermionic ksr molecules | [['spectral', 'bands', 'for', 'the', 'b22sigmarightarrow', 'x12sigma', 'electronic', 'transition', 'in', 'the', 'doublypolar', 'openshell', 'ksr', 'molecule', 'are', 'recorded', 'at', 'moderate', 'resolution', 'using', 'the', 'thermoluminescence', 'technique', 'the', 'spectra', 'are', 'simulated', 'using', 'three', 'kinds', 'of', 'advanced', 'electronic', 'structure', 'calculations', 'allowing', 'for', 'an', 'assessment', 'of', 'their', 'accuracy', 'on', 'one', 'hand', 'and', 'for', 'the', 'derivation', 'of', 'fundamental', 'spectroscopic', 'constants', 'of', 'the', 'x12sigma', 'ksr', 'ground', 'state', 'and', 'the', 'excited', 'electronic', 'state', 'b22sigma', 'on', 'the', 'other', 'hand', 'these', 'results', 'should', 'facilitate', 'further', 'studies', 'aiming', 'at', 'creating', 'ultracold', 'bosonic', 'or', 'fermionic', 'ksr', 'molecules']] | [-0.08635734098895294, 0.1363018338382883, -0.040488037530605384, 0.03434520347963837, 0.005826735392031147, -0.13977875863769795, 0.07112674347391897, 0.3981390555684523, -0.16394011117517948, -0.3167856881258691, 0.06992061865351322, -0.3400300599680078, -0.032601431980388375, 0.209238770559839, 0.10594843968567325, 0.05900459100560444, 0.06457196943683369, 0.013782370455063335, -0.07794755505874934, -0.17342959808344702, 0.3035024563077746, 0.053081433107031555, 0.27118849825886326, 0.08777885844011041, 0.038157883895243085, 0.006964816302969688, 0.026044540209468545, -0.06771002002287566, -0.13242716530746804, 0.1779581013862498, 0.28340746666213906, 0.028863854447902158, 0.198796131446526, -0.4657570364907747, -0.17024943476440613, 0.023783605508847026, 0.12069809741749452, 0.1567553567484294, -0.022826457046726208, -0.32985138527980845, 0.01824051167861354, -0.13234900061904295, -0.13147713000340977, -0.14967929277847317, -0.0456838219074487, 0.030308039722646157, -0.19397345434649985, 0.07377216971774654, -0.04179801976467233, 0.13964572111235168, -0.15385947654395726, -0.2128797827015926, -0.051115393337634644, 0.13664416285379358, -0.05463531997236537, -0.002541497213447966, 0.13626429315929006, -0.14057799356580689, -0.10858330348642861, 0.3862798038824666, -0.060535667895725585, -0.10302649584894137, 0.24458929480666794, -0.12464373118085105, -0.17057901017776714, 0.14580861504030665, 0.10588063768724479, 0.10392769564670033, -0.10653600436933452, 0.03579639169677138, 0.03340850250863629, 0.19323329834647976, 0.05918578039173309, 0.1452018176546184, 0.21328753663408684, 0.13860786236004857, -0.025268065027620006, 0.09649681794335044, -0.16837162391577914, -0.06332169000198497, -0.20164966358939504, -0.1602123005304304, -0.1878682346333091, 0.029190362754800334, -0.02229599376945904, -0.11429971791576685, 0.4098218686242656, 0.08905988954371069, 0.12395339291088464, -0.051821474122201526, 0.2686681114421112, 0.0721089753106509, 0.01466228595719014, -0.000897222449832664, 0.2555488866935598, 0.11103438609563632, 0.051035385249500596, -0.28241646403401366, 0.04434736027586751, 0.02478269161656499] |
1,802.05515 | Equation for the Nakanishi weight function using the inverse Stieltjes
transform | The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms
of a smooth weight function g. By using the generalized Stieltjes transform, we
derive an integral equation for the Nakanishi function g for a bound state
case. It has the standard form g= Vg, where V is a two-dimensional integral
operator. The prescription for obtaining the kernel V starting with the kernel
K of the Bethe-Salpeter equation is given.
| hep-ph nucl-th | the bound state bethesalpeter amplitude was expressed by nakanishi in terms of a smooth weight function g by using the generalized stieltjes transform we derive an integral equation for the nakanishi function g for a bound state case it has the standard form g vg where v is a twodimensional integral operator the prescription for obtaining the kernel v starting with the kernel k of the bethesalpeter equation is given | [['the', 'bound', 'state', 'bethesalpeter', 'amplitude', 'was', 'expressed', 'by', 'nakanishi', 'in', 'terms', 'of', 'a', 'smooth', 'weight', 'function', 'g', 'by', 'using', 'the', 'generalized', 'stieltjes', 'transform', 'we', 'derive', 'an', 'integral', 'equation', 'for', 'the', 'nakanishi', 'function', 'g', 'for', 'a', 'bound', 'state', 'case', 'it', 'has', 'the', 'standard', 'form', 'g', 'vg', 'where', 'v', 'is', 'a', 'twodimensional', 'integral', 'operator', 'the', 'prescription', 'for', 'obtaining', 'the', 'kernel', 'v', 'starting', 'with', 'the', 'kernel', 'k', 'of', 'the', 'bethesalpeter', 'equation', 'is', 'given']] | [-0.14935259018093347, 0.05924433335923303, -0.1347888340874176, 0.03775435355159321, -0.11105114207603037, -0.10520040780705, 0.038177777953179816, 0.3154538848038231, -0.2588511394303558, -0.24392419976315327, 0.030435856563105646, -0.2855307453578072, -0.1452552082283156, 0.15799204499926417, 0.02235653635912708, 0.06360076790941613, 0.08713653837663254, 0.11518197570528303, -0.10821887121668884, -0.23209690880030392, 0.3662156459476267, -0.04622285571780854, 0.20545662996758307, 0.03609415583445558, 0.13312736799541328, 0.08294479348696768, 0.02667643570208124, -0.0738377892013107, -0.1643556340664093, 0.07673760816188795, 0.23198940387727426, 0.09226804365004812, 0.2700930960409875, -0.35669826849230696, -0.22710085555112788, 0.11405099307053855, 0.11882363445391612, -0.010144702198782137, 0.01804229539952108, -0.31293471553695523, 0.04443200456776789, -0.15586231728749617, -0.181787112940635, -0.050108472696904625, 0.12953896522521974, -0.014459776133298874, -0.32372318394482136, 0.11003211954874652, 0.015333737306562917, -0.04703563530929387, -0.08331403063078012, -0.2102836812247655, -0.009970928648752826, 0.031581756213147724, -0.08908529339158641, 0.1815529686066189, 0.017273180353056108, -0.17504581515012044, -0.032438311991947036, 0.33598881496914795, -0.1682927324702697, -0.24572629791551404, 0.023707928781264594, -0.12438036223341312, -0.025822570587375335, 0.11497345353210611, 0.05553861431378339, 0.16799270704920802, -0.19673153985557812, 0.21604762341095402, -0.08732735156746847, 0.061013315484992094, 0.07152255355779613, -0.02926585444365628, 0.05744462127664259, 0.09627115326334855, 0.06463276157820863, 0.1737200938298234, -0.01281162439180272, 0.0007431076041289739, -0.35784529575279783, -0.15775167812493496, -0.2786805807213698, 0.09234722144569137, -0.11147429615126124, -0.17345331464228886, 0.37557008400492903, -0.0025459519986595425, 0.16736901121746217, 0.07627712422981858, 0.20735276716628245, 0.3501177885702678, 0.029926923509421093, 0.11676509013133389, 0.12314994943195155, 0.2138720159684973, 0.028516333550214767, -0.24694655544590205, 0.025429346491000614, 0.2392203369177878] |
1,802.05516 | A characterization of BMO in terms of endpoint bounds for commutators of
singular integrals | We provide a characterization of $\mathrm{BMO}$ in terms of endpoint
boundedness of commutators of singular integrals. In particular, in one
dimension, we show that $\|b\|_{\mathrm{BMO}}\eqsim B$, where $B$ is the best
constant in the endpoint $L\log L$ modular estimate for the commutator $[H,b]$.
We provide a similar characterization of the space $\mathrm{BMO}$ in terms of
endpoint boundedness of higher order commutators of the Hilbert transform. In
higher dimension we give the corresponding characterization of $\mathrm{BMO}$
in terms of the first order commutators of the Riesz transforms. We also show
that these characterizations can be given in terms of commutators of more
general singular integral operators of convolution type.
| math.CA | we provide a characterization of mathrmbmo in terms of endpoint boundedness of commutators of singular integrals in particular in one dimension we show that b_mathrmbmoeqsim b where b is the best constant in the endpoint llog l modular estimate for the commutator hb we provide a similar characterization of the space mathrmbmo in terms of endpoint boundedness of higher order commutators of the hilbert transform in higher dimension we give the corresponding characterization of mathrmbmo in terms of the first order commutators of the riesz transforms we also show that these characterizations can be given in terms of commutators of more general singular integral operators of convolution type | [['we', 'provide', 'a', 'characterization', 'of', 'mathrmbmo', 'in', 'terms', 'of', 'endpoint', 'boundedness', 'of', 'commutators', 'of', 'singular', 'integrals', 'in', 'particular', 'in', 'one', 'dimension', 'we', 'show', 'that', 'b_mathrmbmoeqsim', 'b', 'where', 'b', 'is', 'the', 'best', 'constant', 'in', 'the', 'endpoint', 'llog', 'l', 'modular', 'estimate', 'for', 'the', 'commutator', 'hb', 'we', 'provide', 'a', 'similar', 'characterization', 'of', 'the', 'space', 'mathrmbmo', 'in', 'terms', 'of', 'endpoint', 'boundedness', 'of', 'higher', 'order', 'commutators', 'of', 'the', 'hilbert', 'transform', 'in', 'higher', 'dimension', 'we', 'give', 'the', 'corresponding', 'characterization', 'of', 'mathrmbmo', 'in', 'terms', 'of', 'the', 'first', 'order', 'commutators', 'of', 'the', 'riesz', 'transforms', 'we', 'also', 'show', 'that', 'these', 'characterizations', 'can', 'be', 'given', 'in', 'terms', 'of', 'commutators', 'of', 'more', 'general', 'singular', 'integral', 'operators', 'of', 'convolution', 'type']] | [-0.1412522274256623, 0.08828482972610324, -0.05545831062595978, 0.10006756830425219, -0.08604981821839845, -0.0246956965616234, 0.006560393356692011, 0.3114344795521732, -0.2683377606080514, -0.16652709884551642, 0.13725747701181013, -0.2789416654366199, -0.13687134158817146, 0.20970144020132372, -0.10875217839379177, 0.0384704630526009, 0.033931485372900125, 0.11951967009841508, -0.16020211529108547, -0.2860225964877232, 0.3941436307026056, -0.06319376464202026, 0.1491696728637146, 0.0520471648844046, 0.03928800700145347, 0.03716943514855387, -0.045928204614912795, -0.04390469200448916, -0.17811526290739987, 0.17896025792573728, 0.22976985973715086, 0.06320133087634344, 0.24606299251927255, -0.37713449570202384, -0.1316524038078246, 0.19197860537706135, 0.1757668402594314, -0.061991226232706385, 0.01241799141647551, -0.26414711202416463, 0.11178246946900944, -0.14880542722138984, -0.1655505001283834, -0.13501730475957704, 0.01694158076474043, 0.07413375908595936, -0.3224849053353907, 0.1259324649872724, 0.147166188875927, 0.0664409988115881, -0.14739961110960656, -0.13331355320650945, 0.024490330329112638, 0.09341441381017669, -0.022427828175181123, 0.015850725058775186, 0.021821040908205455, -0.10260603848461793, -0.11333364629943933, 0.33483856239695553, -0.09944300031045748, -0.21832894759957688, 0.09927783201875112, -0.27227511718242525, -0.12748435946947365, 0.06564924906434438, 0.13090810828154612, 0.16118220528848817, -0.13137944393451803, 0.16517517947217572, -0.04356382283268966, 0.06488370882329818, 0.12007598295181154, 0.15005137533587012, 0.03145586048191953, 0.08056145534898529, 0.1652773168268744, 0.18320176697218635, -0.009195771396908666, -0.02767411199894464, -0.4167555205384705, -0.26464142495435533, -0.16352403793205447, 0.06992145057628367, -0.16203136589360712, -0.20567951642116097, 0.4023579504889236, 0.13665867808805865, 0.21687780448592434, 0.06851393085791269, 0.197362125668431, 0.18465254624661442, 0.08361320402451451, 0.0331346176643029, 0.1849614470396365, 0.15566799211724897, 0.061895849609695304, -0.15338474326005705, 0.013658717213738188, 0.23823581833531646] |
1,802.05517 | Quantum cryptography: key distribution and beyond | Uniquely among the sciences, quantum cryptography has driven both
foundational research as well as practical real-life applications. We review
the progress of quantum cryptography in the last decade, covering quantum key
distribution and other applications.
| quant-ph physics.app-ph | uniquely among the sciences quantum cryptography has driven both foundational research as well as practical reallife applications we review the progress of quantum cryptography in the last decade covering quantum key distribution and other applications | [['uniquely', 'among', 'the', 'sciences', 'quantum', 'cryptography', 'has', 'driven', 'both', 'foundational', 'research', 'as', 'well', 'as', 'practical', 'reallife', 'applications', 'we', 'review', 'the', 'progress', 'of', 'quantum', 'cryptography', 'in', 'the', 'last', 'decade', 'covering', 'quantum', 'key', 'distribution', 'and', 'other', 'applications']] | [-0.078199003636837, 0.08069185332528182, -0.04535220664526735, 0.009882909006306104, -0.06928239043003746, -0.1921091935464314, -0.04913168385890978, 0.3584721299154418, -0.3334557448114668, -0.3209525371236461, 0.15356155372823455, -0.2560100667710815, -0.2469966639897653, 0.35663225996707165, -0.1430872157216072, 0.19273455036537987, 0.023900382034480572, -0.0054906304393495834, -0.0578933360055089, -0.3413247891834804, 0.25413393612418855, 0.025275797746144236, 0.37648505408849037, 0.13228088383163725, 0.04288186942493277, 0.07780347284195678, -0.039018111995288304, -0.05824147212385599, -0.14511566814035176, 0.18835162525730473, 0.4068584931748254, 0.2088768196957452, 0.3878311111990895, -0.39098054042884284, -0.3074511329776474, 0.08296055964061193, 0.14924163701278823, 0.13511744120291302, -0.14633753946317093, -0.27558215358959776, -0.007807489208477948, -0.21208618139582022, -0.07981723153165408, -0.07902064099242645, 0.09566216649753707, 0.028781956540686743, -0.04164957398814814, -0.021175226090209824, 0.017368978983722628, 0.16192491041230303, 0.10060808613364186, -0.13887521917266504, 0.1299691040534526, 0.24069735391863756, 0.042085763386317664, 0.012363218130277735, 0.17281298590824007, -0.22019006965149726, -0.2685342402330467, 0.45938146050487244, 0.02655188563678946, -0.011226957723764436, 0.16535348208355052, -0.051302648814661164, -0.24038584317479814, -0.037991048102932315, 0.18419405645025627, 0.09548580101691187, -0.10483649411970483, 0.1645633994185898, -0.024554368081901756, 0.10166479314544372, 0.06174080975885902, 0.1737944801471063, 0.2775555018867765, 0.1504338906545724, 0.04253260442720992, 0.098234125946848, -0.03483829860176359, -0.306704079998391, -0.3074356588934149, -0.19140322751232555, -0.2340194592651512, 0.11379445240433728, 0.019403236958480972, -0.14342980879758085, 0.3663227074646524, 0.1844157376991851, 0.08825023538832154, -0.12340440715530089, 0.3548959880535092, 0.04999298460648528, 0.043432243168354034, 0.04419973944979055, 0.1944926880300045, 0.23237203753420285, 0.20133738320853029, -0.07602870693164213, 0.10488354976155928, -0.056575696117111614] |
1,802.05518 | Learning from a Handful Volumes: MRI Resolution Enhancement with
Volumetric Super-Resolution Forests | Magnetic resonance imaging (MRI) enables 3-D imaging of anatomical
structures. However, the acquisition of MR volumes with high spatial resolution
leads to long scan times. To this end, we propose volumetric super-resolution
forests (VSRF) to enhance MRI resolution retrospectively. Our method learns a
locally linear mapping between low-resolution and high-resolution volumetric
image patches by employing random forest regression. We customize features
suitable for volumetric MRI to train the random forest and propose a median
tree ensemble for robust regression. VSRF outperforms state-of-the-art
example-based super-resolution in term of image quality and efficiency for
model training and inference in different MRI datasets. It is also superior to
unsupervised methods with just a handful or even a single volume to assemble
training data.
| cs.CV | magnetic resonance imaging mri enables 3d imaging of anatomical structures however the acquisition of mr volumes with high spatial resolution leads to long scan times to this end we propose volumetric superresolution forests vsrf to enhance mri resolution retrospectively our method learns a locally linear mapping between lowresolution and highresolution volumetric image patches by employing random forest regression we customize features suitable for volumetric mri to train the random forest and propose a median tree ensemble for robust regression vsrf outperforms stateoftheart examplebased superresolution in term of image quality and efficiency for model training and inference in different mri datasets it is also superior to unsupervised methods with just a handful or even a single volume to assemble training data | [['magnetic', 'resonance', 'imaging', 'mri', 'enables', '3d', 'imaging', 'of', 'anatomical', 'structures', 'however', 'the', 'acquisition', 'of', 'mr', 'volumes', 'with', 'high', 'spatial', 'resolution', 'leads', 'to', 'long', 'scan', 'times', 'to', 'this', 'end', 'we', 'propose', 'volumetric', 'superresolution', 'forests', 'vsrf', 'to', 'enhance', 'mri', 'resolution', 'retrospectively', 'our', 'method', 'learns', 'a', 'locally', 'linear', 'mapping', 'between', 'lowresolution', 'and', 'highresolution', 'volumetric', 'image', 'patches', 'by', 'employing', 'random', 'forest', 'regression', 'we', 'customize', 'features', 'suitable', 'for', 'volumetric', 'mri', 'to', 'train', 'the', 'random', 'forest', 'and', 'propose', 'a', 'median', 'tree', 'ensemble', 'for', 'robust', 'regression', 'vsrf', 'outperforms', 'stateoftheart', 'examplebased', 'superresolution', 'in', 'term', 'of', 'image', 'quality', 'and', 'efficiency', 'for', 'model', 'training', 'and', 'inference', 'in', 'different', 'mri', 'datasets', 'it', 'is', 'also', 'superior', 'to', 'unsupervised', 'methods', 'with', 'just', 'a', 'handful', 'or', 'even', 'a', 'single', 'volume', 'to', 'assemble', 'training', 'data']] | [0.021590459089473647, -0.0015077371529098283, -0.030626106099620208, 0.05916803928439395, -0.12164189757274116, -0.17607093967449994, -0.005044083259960289, 0.4977132395478123, -0.28908258415285054, -0.3290635671893774, 0.09592600976081439, -0.25399858038083223, -0.14006011389487943, 0.17264646509172932, -0.14655114453427998, 0.11558891570252777, 0.16906354620152989, -0.015149982906562292, -0.05979087747736061, -0.2550027927667913, 0.23185333322094343, 0.07929718064270534, 0.40286008798975054, -0.0743266660483333, 0.2028923317882769, 0.00751377505416019, -0.03302842783998161, 0.042312840221773326, -0.06715388774725814, 0.16697226740593502, 0.3325777992101039, 0.1958354882159965, 0.30835958787287443, -0.4196537381701045, -0.2690101427981093, 0.07747225659125942, 0.18680195838323463, 0.12860717285551246, -0.05026056975031556, -0.2818065036238187, 0.1059027681229794, -0.07259693519616553, 0.046406906607197755, -0.18935456572266263, -0.06960436484729082, -0.039164260654291926, -0.38323274104050914, 0.16790538359807322, 0.022637314899130016, 0.11336150972204188, -0.08459756348945074, -0.06068654572275483, 0.03704220418999824, 0.11989079439278566, -0.0412187699408081, 0.10082841624103298, 0.15065586054303004, -0.21866289900134364, -0.09543933718015392, 0.3081183589489783, -0.06485854824057828, -0.18810153426207854, 0.2439580234399034, -0.11924085475630679, -0.09987506460422113, 0.1889980798626666, 0.23078319862765118, 0.12082712213366718, -0.13895988953497135, -0.01308836818522758, 0.010928117109746751, 0.20848125801027073, 0.09258899764331469, -0.038620189937242005, 0.1610710595175032, 0.2804375301367777, 0.03952457346969237, 0.14336143098169765, -0.29455309646140976, 0.039090606736184995, -0.13484048104245153, -0.11344700567305908, -0.19682359432809496, 0.00010131649333604816, -0.15556403656314538, -0.21417870127075053, 0.40279124033148006, 0.2520371569257419, 0.24318699258127077, 0.10091242015014514, 0.3973316068966257, -0.006695453033159029, 0.15179092692747964, 0.016592596748338666, 0.13846937462579462, 0.07095380316153196, 0.12934451740061453, -0.1649506765169139, 0.0016419389324610011, 0.0567230057144948] |
1,802.05519 | Thin film flow dynamics on fiber nets | We analyze existence and qualitative behavior of non-negative weak solutions
for fourth order degenerate parabolic equations on graph domains with
Kirchhoff's boundary conditions at the inner nodes and Neumann boundary
conditions at the boundary nodes. The problem is originated from industrial
constructions of spray coated meshes which are used in water collection and in
oil-water separation processes. For a certain range of parameter values we
prove convergence toward a constant steady state that corresponds to the
uniform distribution of coating on a fiber net.
| math.AP | we analyze existence and qualitative behavior of nonnegative weak solutions for fourth order degenerate parabolic equations on graph domains with kirchhoffs boundary conditions at the inner nodes and neumann boundary conditions at the boundary nodes the problem is originated from industrial constructions of spray coated meshes which are used in water collection and in oilwater separation processes for a certain range of parameter values we prove convergence toward a constant steady state that corresponds to the uniform distribution of coating on a fiber net | [['we', 'analyze', 'existence', 'and', 'qualitative', 'behavior', 'of', 'nonnegative', 'weak', 'solutions', 'for', 'fourth', 'order', 'degenerate', 'parabolic', 'equations', 'on', 'graph', 'domains', 'with', 'kirchhoffs', 'boundary', 'conditions', 'at', 'the', 'inner', 'nodes', 'and', 'neumann', 'boundary', 'conditions', 'at', 'the', 'boundary', 'nodes', 'the', 'problem', 'is', 'originated', 'from', 'industrial', 'constructions', 'of', 'spray', 'coated', 'meshes', 'which', 'are', 'used', 'in', 'water', 'collection', 'and', 'in', 'oilwater', 'separation', 'processes', 'for', 'a', 'certain', 'range', 'of', 'parameter', 'values', 'we', 'prove', 'convergence', 'toward', 'a', 'constant', 'steady', 'state', 'that', 'corresponds', 'to', 'the', 'uniform', 'distribution', 'of', 'coating', 'on', 'a', 'fiber', 'net']] | [-0.1665364055883228, 0.0958857103140049, -0.06611027027524653, -0.016022388605744623, -0.0675721087082777, -0.1421234707869146, 0.017177053541499412, 0.3554497210369889, -0.2824824878591157, -0.24605384379503362, 0.15475476382111775, -0.29717434879525434, -0.05939921406319454, 0.16525569114656674, -0.07447965286805161, 0.10547337543452852, 0.10276118282317406, 0.02305836233842586, -0.0719817647837945, -0.17372427564121262, 0.38684168683747494, -0.054409396136179566, 0.2911391848354556, 0.07775720611347683, 0.12327541830018163, -0.055649177714561425, 0.056745168880470806, 0.035189989333351455, -0.20537193146178434, 0.08091660735469001, 0.24722656032757923, -0.00802225771725976, 0.25169380467074615, -0.445396820238481, -0.21661448822401108, 0.09405203966335171, 0.07806298688852362, 0.06771859003735396, -0.016420033061876893, -0.2581283570089865, 0.1130959993405711, -0.10559843722287388, -0.19812680433859073, -0.0015695964407530568, -0.004550822766586428, 0.05611966731902655, -0.3084882039776338, 0.08938467652270836, 0.05843506149470895, 0.05379572950880088, -0.11891600232393969, -0.1166629379288116, -0.057816155742676484, 0.10545152235620965, 0.01737906663523366, -0.0489059925034997, 0.12104240394130882, -0.14587231986002908, -0.045174062806403355, 0.3237244853461605, -0.06952704918443314, -0.24032008201382787, 0.20879661056789614, -0.13691691664003192, -0.09178151295054704, 0.16387287092705569, 0.19987351040998919, 0.14332217031291553, -0.12601595899711052, 0.07350685688946951, -0.040475709071393966, 0.13654720887175895, 0.1595915704244925, -0.0328294717584781, 0.15803562620809922, 0.1516107467884597, 0.1807009840960659, 0.1678658908709795, -0.034952966715320055, -0.1332519056408533, -0.35216550118500545, -0.15678390759664276, -0.16062216961845047, 0.05168200919537672, -0.15047517368362778, -0.22103898641875103, 0.3512827036514257, 0.08317982082787369, 0.1711376336004053, 0.05256271858039933, 0.2178514379608844, 0.08885225201291698, 0.0145925727390152, 0.08433165803442189, 0.19980113166162655, 0.17635722354697508, 0.159172054909591, -0.17974886264918105, 0.087995402911301, 0.12308773367355268] |
1,802.0552 | Cumulative displacement induced by a magnetosonic soliton bouncing in a
bounded plasma slab | The passage of a magnetosonic (MS) soliton in a cold plasma leads to the
displacement of charged particles in the direction of a compressive pulse and
in the opposite direction of a rarefaction pulse. In the overdense plasma
limit, the displacement induced by a weakly nonlinear MS soliton is derived
analytically. This result is then used to derive an asymptotic expansion for
the displacement resulting from the bouncing motion of a MS soliton reflected
back and forth in a vacuum-bounded cold plasma slab. Particles' displacement
after the pulse energy has been lost to the vacuum region is shown to scale as
the ratio of light speed to Alfv\'en velocity. Results for the displacement
after a few MS soliton reflections are corroborated by particle-in-cell
simulations.
| physics.plasm-ph | the passage of a magnetosonic ms soliton in a cold plasma leads to the displacement of charged particles in the direction of a compressive pulse and in the opposite direction of a rarefaction pulse in the overdense plasma limit the displacement induced by a weakly nonlinear ms soliton is derived analytically this result is then used to derive an asymptotic expansion for the displacement resulting from the bouncing motion of a ms soliton reflected back and forth in a vacuumbounded cold plasma slab particles displacement after the pulse energy has been lost to the vacuum region is shown to scale as the ratio of light speed to alfven velocity results for the displacement after a few ms soliton reflections are corroborated by particleincell simulations | [['the', 'passage', 'of', 'a', 'magnetosonic', 'ms', 'soliton', 'in', 'a', 'cold', 'plasma', 'leads', 'to', 'the', 'displacement', 'of', 'charged', 'particles', 'in', 'the', 'direction', 'of', 'a', 'compressive', 'pulse', 'and', 'in', 'the', 'opposite', 'direction', 'of', 'a', 'rarefaction', 'pulse', 'in', 'the', 'overdense', 'plasma', 'limit', 'the', 'displacement', 'induced', 'by', 'a', 'weakly', 'nonlinear', 'ms', 'soliton', 'is', 'derived', 'analytically', 'this', 'result', 'is', 'then', 'used', 'to', 'derive', 'an', 'asymptotic', 'expansion', 'for', 'the', 'displacement', 'resulting', 'from', 'the', 'bouncing', 'motion', 'of', 'a', 'ms', 'soliton', 'reflected', 'back', 'and', 'forth', 'in', 'a', 'vacuumbounded', 'cold', 'plasma', 'slab', 'particles', 'displacement', 'after', 'the', 'pulse', 'energy', 'has', 'been', 'lost', 'to', 'the', 'vacuum', 'region', 'is', 'shown', 'to', 'scale', 'as', 'the', 'ratio', 'of', 'light', 'speed', 'to', 'alfven', 'velocity', 'results', 'for', 'the', 'displacement', 'after', 'a', 'few', 'ms', 'soliton', 'reflections', 'are', 'corroborated', 'by', 'particleincell', 'simulations']] | [-0.1342842687229906, 0.22670889368038946, -0.11353499031572686, 0.023437072068634556, -0.027886085000222292, -0.058474768901516386, -0.013056763109932767, 0.4072670821645638, -0.27361131207903894, -0.2365920401019294, 0.05499521735203793, -0.23356699340170387, -0.02610109948999877, 0.20344595939140556, -0.0047683642206550764, 0.04904774705523519, 0.07028248824928773, 0.049868459533142846, -0.026735965533530325, -0.16622048577793488, 0.22387237974813556, 0.07368346096236046, 0.2748583394246615, 0.03936384151863858, 0.15898067975886226, -0.045083701366376946, 0.034855075112384996, -0.0034915887394813988, -0.134642667950219, 0.035510714907895743, 0.1623119385117983, 0.02559611859688016, 0.26929951636347826, -0.46993383210970135, -0.24592775734126326, 0.006802654700217451, 0.21247038466674162, 0.16125339251465914, -0.0817955214183823, -0.31756619660077784, 0.050164025504051184, -0.11932136864984423, -0.20698537645157336, 0.0614950840315986, 0.054754298199271044, 0.08282927793405223, -0.25194533562431554, 0.14470827259782065, 0.051984673744537, -0.024093772935855195, -0.028234572305033605, -0.00795658770570062, -0.03687585288340726, 0.03317076001198947, 0.120509649345899, 0.06024114902668852, 0.18224387767353678, -0.15352339876580953, -0.03181753517696407, 0.40579814618317095, -0.13693711979549408, -0.151553849674519, 0.1343102362442277, -0.16700968809607553, 0.012865911044816419, 0.23930598954420265, 0.1534929534144003, 0.10434464418246009, -0.10029135395326023, 0.00257554144420608, -0.02446051378454256, 0.16313083174570306, 0.1933733656192274, -0.03787756721466416, 0.23994815919729995, 0.15653241982085372, 0.04933209726359786, 0.16477703405506303, -0.15405166765478084, -0.07221049079822937, -0.28878985742122176, -0.12437833679794538, -0.16021361476003487, 0.02112637589708334, -0.08106561548741936, -0.13785459095970878, 0.41491852858202244, 0.10603592686953281, 0.17046071331554313, -0.009246362759390982, 0.3165725468377757, 0.15941906039228254, -0.007032864852013384, 0.09394998859795856, 0.3156644015656254, 0.22929475799096916, 0.1549396481349822, -0.2575036960415451, -0.021567098402637777, 0.06994114512941096] |
1,802.05521 | Deep Learning for Lip Reading using Audio-Visual Information for Urdu
Language | Human lip-reading is a challenging task. It requires not only knowledge of
underlying language but also visual clues to predict spoken words. Experts need
certain level of experience and understanding of visual expressions learning to
decode spoken words. Now-a-days, with the help of deep learning it is possible
to translate lip sequences into meaningful words. The speech recognition in the
noisy environments can be increased with the visual information [1]. To
demonstrate this, in this project, we have tried to train two different
deep-learning models for lip-reading: first one for video sequences using
spatiotemporal convolution neural network, Bi-gated recurrent neural network
and Connectionist Temporal Classification Loss, and second for audio that
inputs the MFCC features to a layer of LSTM cells and output the sequence. We
have also collected a small audio-visual dataset to train and test our model.
Our target is to integrate our both models to improve the speech recognition in
the noisy environment
| cs.CV cs.SD eess.AS | human lipreading is a challenging task it requires not only knowledge of underlying language but also visual clues to predict spoken words experts need certain level of experience and understanding of visual expressions learning to decode spoken words nowadays with the help of deep learning it is possible to translate lip sequences into meaningful words the speech recognition in the noisy environments can be increased with the visual information 1 to demonstrate this in this project we have tried to train two different deeplearning models for lipreading first one for video sequences using spatiotemporal convolution neural network bigated recurrent neural network and connectionist temporal classification loss and second for audio that inputs the mfcc features to a layer of lstm cells and output the sequence we have also collected a small audiovisual dataset to train and test our model our target is to integrate our both models to improve the speech recognition in the noisy environment | [['human', 'lipreading', 'is', 'a', 'challenging', 'task', 'it', 'requires', 'not', 'only', 'knowledge', 'of', 'underlying', 'language', 'but', 'also', 'visual', 'clues', 'to', 'predict', 'spoken', 'words', 'experts', 'need', 'certain', 'level', 'of', 'experience', 'and', 'understanding', 'of', 'visual', 'expressions', 'learning', 'to', 'decode', 'spoken', 'words', 'nowadays', 'with', 'the', 'help', 'of', 'deep', 'learning', 'it', 'is', 'possible', 'to', 'translate', 'lip', 'sequences', 'into', 'meaningful', 'words', 'the', 'speech', 'recognition', 'in', 'the', 'noisy', 'environments', 'can', 'be', 'increased', 'with', 'the', 'visual', 'information', '1', 'to', 'demonstrate', 'this', 'in', 'this', 'project', 'we', 'have', 'tried', 'to', 'train', 'two', 'different', 'deeplearning', 'models', 'for', 'lipreading', 'first', 'one', 'for', 'video', 'sequences', 'using', 'spatiotemporal', 'convolution', 'neural', 'network', 'bigated', 'recurrent', 'neural', 'network', 'and', 'connectionist', 'temporal', 'classification', 'loss', 'and', 'second', 'for', 'audio', 'that', 'inputs', 'the', 'mfcc', 'features', 'to', 'a', 'layer', 'of', 'lstm', 'cells', 'and', 'output', 'the', 'sequence', 'we', 'have', 'also', 'collected', 'a', 'small', 'audiovisual', 'dataset', 'to', 'train', 'and', 'test', 'our', 'model', 'our', 'target', 'is', 'to', 'integrate', 'our', 'both', 'models', 'to', 'improve', 'the', 'speech', 'recognition', 'in', 'the', 'noisy', 'environment']] | [-0.008916652813974408, 0.01038510093405362, -0.05823986398717088, 0.10867077483224773, -0.17101121238402783, -0.20630491655620356, 0.013023109192163833, 0.4794840996724463, -0.3068403293108267, -0.3198212149169957, 0.04607572202916227, -0.28984204677023717, -0.2241418017438733, 0.17755003716578827, -0.18495463021099567, 0.09168728156270639, 0.15750876419366366, 0.1295263893646939, -0.010406506450981984, -0.3102665642576833, 0.28171205549771267, 0.0034667927063926456, 0.3259199588737946, -0.010102172406210053, 0.15133253004281752, -0.08681283204726153, -0.03953902940416048, -0.13090078380830106, 0.004556816381978758, 0.19363568501637107, 0.3780175960358446, 0.2362732838779207, 0.3214791784844091, -0.43532501493971193, -0.24866653000935912, 0.08609692582019395, 0.14708974914805542, 0.13022338793342633, -0.002368354551013439, -0.3893341711842485, 0.12946868518727922, -0.16693296797738802, 0.09760900591049464, -0.1278819978041875, 0.02723836009080837, -0.020084872823809424, -0.29622954089089387, 0.003695518598185792, 0.14259229938109075, 0.08879988850507464, -0.06532586308106059, -0.058404143705152935, 0.02756982619213241, 0.28785276788497166, 0.04784007248573846, 0.09693614281432313, 0.12798898924262292, -0.2237744615383206, -0.11035857785853648, 0.3576852005095251, -0.06284177914231776, -0.2539839199894378, 0.2345141814082801, -0.062533463717949, -0.15616454663686455, 0.07443590858470528, 0.2849986302756494, 0.05966605946061111, -0.20870262365788222, -0.06326430776577083, -0.0429740498743711, 0.2913438099166078, 0.09149093185363698, 0.0022030743890471996, 0.20964452713848122, 0.2903555081075718, -0.06504272729038231, 0.12663968927602495, -0.11929809892861803, -0.022450554875221344, -0.15560667415209595, -0.09407057796394633, -0.16892570340555282, -0.04162443537469728, -0.08415524806900536, -0.1421257359366263, 0.4267600173911741, 0.2650346725548227, 0.1971557586273599, 0.14922297225604134, 0.34671234881445284, 0.019610957205746203, 0.13271575512574804, 0.04435780894935071, 0.13213877496610005, -0.006588136723204967, 0.17182549911761477, -0.15654876557077402, 0.09241303051671675, 0.05449966123898423] |
1,802.05522 | Unsupervised Learning of Depth and Ego-Motion from Monocular Video Using
3D Geometric Constraints | We present a novel approach for unsupervised learning of depth and ego-motion
from monocular video. Unsupervised learning removes the need for separate
supervisory signals (depth or ego-motion ground truth, or multi-view video).
Prior work in unsupervised depth learning uses pixel-wise or gradient-based
losses, which only consider pixels in small local neighborhoods. Our main
contribution is to explicitly consider the inferred 3D geometry of the scene,
enforcing consistency of the estimated 3D point clouds and ego-motion across
consecutive frames. This is a challenging task and is solved by a novel
(approximate) backpropagation algorithm for aligning 3D structures.
We combine this novel 3D-based loss with 2D losses based on photometric
quality of frame reconstructions using estimated depth and ego-motion from
adjacent frames. We also incorporate validity masks to avoid penalizing areas
in which no useful information exists.
We test our algorithm on the KITTI dataset and on a video dataset captured on
an uncalibrated mobile phone camera. Our proposed approach consistently
improves depth estimates on both datasets, and outperforms the state-of-the-art
for both depth and ego-motion. Because we only require a simple video, learning
depth and ego-motion on large and varied datasets becomes possible. We
demonstrate this by training on the low quality uncalibrated video dataset and
evaluating on KITTI, ranking among top performing prior methods which are
trained on KITTI itself.
| cs.CV | we present a novel approach for unsupervised learning of depth and egomotion from monocular video unsupervised learning removes the need for separate supervisory signals depth or egomotion ground truth or multiview video prior work in unsupervised depth learning uses pixelwise or gradientbased losses which only consider pixels in small local neighborhoods our main contribution is to explicitly consider the inferred 3d geometry of the scene enforcing consistency of the estimated 3d point clouds and egomotion across consecutive frames this is a challenging task and is solved by a novel approximate backpropagation algorithm for aligning 3d structures we combine this novel 3dbased loss with 2d losses based on photometric quality of frame reconstructions using estimated depth and egomotion from adjacent frames we also incorporate validity masks to avoid penalizing areas in which no useful information exists we test our algorithm on the kitti dataset and on a video dataset captured on an uncalibrated mobile phone camera our proposed approach consistently improves depth estimates on both datasets and outperforms the stateoftheart for both depth and egomotion because we only require a simple video learning depth and egomotion on large and varied datasets becomes possible we demonstrate this by training on the low quality uncalibrated video dataset and evaluating on kitti ranking among top performing prior methods which are trained on kitti itself | [['we', 'present', 'a', 'novel', 'approach', 'for', 'unsupervised', 'learning', 'of', 'depth', 'and', 'egomotion', 'from', 'monocular', 'video', 'unsupervised', 'learning', 'removes', 'the', 'need', 'for', 'separate', 'supervisory', 'signals', 'depth', 'or', 'egomotion', 'ground', 'truth', 'or', 'multiview', 'video', 'prior', 'work', 'in', 'unsupervised', 'depth', 'learning', 'uses', 'pixelwise', 'or', 'gradientbased', 'losses', 'which', 'only', 'consider', 'pixels', 'in', 'small', 'local', 'neighborhoods', 'our', 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1,802.05523 | Scalar Casimir densities and forces for parallel plates in cosmic string
spacetime | We analyze the Casimir densities and forces associated with a massive scalar
quantum field confined between two parallel plates in a D-dimensional cosmic
string spacetime. The plates are placed orthogonal to the string and the field
obeys the Robin boundary conditions on them. The boundary-induced contributions
are explicitly extracted in the vacuum expectation values (VEVs) of the field
squared and energy-momentum tensor for both single and two plates. The VEV of
the energy-momentum tensor, in additional to the diagonal components, contains
an off-diagonal component corresponding to the shear stress. The latter
vanishes on the plates in special cases of Dirichlet and Neumann boundary
conditions. For points outside the string core the topological contributions in
the VEVs are finite on the plates. Near the string the VEVs are dominated by
the boundary-free part, whereas at large distances the boundary-induced
contributions dominate. Due to the nonzero off-diagonal component of the vacuum
energy-momentum tensor, in addition to the normal component, the Casimir forces
have nonzero component parallel to the boundary. Unlike the problem on the
Minkowski bulk, the normal forces acting on the separate plates, in general, do
not coincide. Another difference is that in the presence of the cosmic string
the Casimir forces for Dirichlet and Neumann boundary conditions differ. For
Dirichlet case the normal Casimir force does not depend on the curvature
coupling parameter. This is not the case for other boundary conditions. A new
qualitative feature induced by the cosmic string is the appearance of the shear
stress acting on the plates. The corresponding force is directed along the
radial coordinate and vanishes for Dirichlet and Neumann cases. Depending on
the parameters of the problem, the radial component of the shear force can be
either positive or negative.
| hep-th gr-qc | we analyze the casimir densities and forces associated with a massive scalar quantum field confined between two parallel plates in a ddimensional cosmic string spacetime the plates are placed orthogonal to the string and the field obeys the robin boundary conditions on them the boundaryinduced contributions are explicitly extracted in the vacuum expectation values vevs of the field squared and energymomentum tensor for both single and two plates the vev of the energymomentum tensor in additional to the diagonal components contains an offdiagonal component corresponding to the shear stress the latter vanishes on the plates in special cases of dirichlet and neumann boundary conditions for points outside the string core the topological contributions in the vevs are finite on the plates near the string the vevs are dominated by the boundaryfree part whereas at large distances the boundaryinduced contributions dominate due to the nonzero offdiagonal component of the vacuum energymomentum tensor in addition to the normal component the casimir forces have nonzero component parallel to the boundary unlike the problem on the minkowski bulk the normal forces acting on the separate plates in general do not coincide another difference is that in the presence of the cosmic string the casimir forces for dirichlet and neumann boundary conditions differ for dirichlet case the normal casimir force does not depend on the curvature coupling parameter this is not the case for other boundary conditions a new qualitative feature induced by the cosmic string is the appearance of the shear stress acting on the plates the corresponding force is directed along the radial coordinate and vanishes for dirichlet and neumann cases depending on the parameters of the problem the radial component of the shear force can be either positive or negative | [['we', 'analyze', 'the', 'casimir', 'densities', 'and', 'forces', 'associated', 'with', 'a', 'massive', 'scalar', 'quantum', 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1,802.05524 | Metallicity Distribution of Disk Stars and the Formation History of the
Milky Way | We investigate the formation history of the stellar disk component in the
Milky Way (MW) based on our new chemical evolution model. Our model considers
several fundamental baryonic processes, including gas infall, re-accretion of
outflowing gas, and radial migration of disk stars. Each of these baryonic
processes in the disk evolution is characterized by model parameters, which are
determined by fitting to various observational data of the stellar disk in the
MW, including the radial dependence of the metallicity distribution function
(MDF) of the disk stars, which has recently been derived in the APOGEE survey.
We succeeded to obtain the best set of model parameters, which well reproduces
the observed radial dependences of the mean, standard deviation, skewness, and
kurtosis of the MDFs for the disk stars. We analyze the basic properties of our
model results in detail to get new insights into the important baryonic
processes in the formation history of the MW. One of the remarkable findings is
that outflowing gas, containing much heavy elements, preferentially re-accretes
onto the outer disk parts, and this recycling process of metal-enriched gas is
a key ingredient to reproduce the observed narrower MDFs at larger radii.
Moreover, important implications for the radial dependence of gas infall and
the influence of radial migration on the MDFs are also inferred from our model
calculation. Thus, the MDF of disk stars is a useful clue for studying the
formation history of the MW.
| astro-ph.GA | we investigate the formation history of the stellar disk component in the milky way mw based on our new chemical evolution model our model considers several fundamental baryonic processes including gas infall reaccretion of outflowing gas and radial migration of disk stars each of these baryonic processes in the disk evolution is characterized by model parameters which are determined by fitting to various observational data of the stellar disk in the mw including the radial dependence of the metallicity distribution function mdf of the disk stars which has recently been derived in the apogee survey we succeeded to obtain the best set of model parameters which well reproduces the observed radial dependences of the mean standard deviation skewness and kurtosis of the mdfs for the disk stars we analyze the basic properties of our model results in detail to get new insights into the important baryonic processes in the formation history of the mw one of the remarkable findings is that outflowing gas containing much heavy elements preferentially reaccretes onto the outer disk parts and this recycling process of metalenriched gas is a key ingredient to reproduce the observed narrower mdfs at larger radii moreover important implications for the radial dependence of gas infall and the influence of radial migration on the mdfs are also inferred from our model calculation thus the mdf of disk stars is a useful clue for studying the formation history of the mw | [['we', 'investigate', 'the', 'formation', 'history', 'of', 'the', 'stellar', 'disk', 'component', 'in', 'the', 'milky', 'way', 'mw', 'based', 'on', 'our', 'new', 'chemical', 'evolution', 'model', 'our', 'model', 'considers', 'several', 'fundamental', 'baryonic', 'processes', 'including', 'gas', 'infall', 'reaccretion', 'of', 'outflowing', 'gas', 'and', 'radial', 'migration', 'of', 'disk', 'stars', 'each', 'of', 'these', 'baryonic', 'processes', 'in', 'the', 'disk', 'evolution', 'is', 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1,802.05525 | A misaligned magneto-optical trap to enable miniaturized atom chip
systems | We describe the application of displaced, or misaligned, beams in a
mirror-based magneto-optical trap (MOT) to enable portable and miniaturized
atom chip experiments, where optical access is limited to a single window. Two
different geometries of beam displacement are investigated: a variation on the
well-known 'vortex-MOT', and the other a novel 'hybrid-MOT' combining
Zeeman-shifted and purely optical scattering force components. The beam
geometry is obtained similar to the mirror-MOT, using a planar mirror surface
but with a different magnetic field geometry more suited to planar systems.
Using these techniques, we have trapped around 6$\times 10^6$ and 26$\times
10^6$atoms of $^{85}$Rb in the vortex-MOT and hybrid-MOT respectively. For the
vortex-MOT the atoms are directly cooled well below the Doppler temperature
without any additional sub-Doppler cooling stage, whereas the temperature of
the hybrid-MOT has been measured slightly above the Doppler temperature limit.
In both cases the attained lower temperature ensures the quantum behaviour of
the trapped atoms required for the applications of portable quantum sensors and
many others.
| physics.atom-ph | we describe the application of displaced or misaligned beams in a mirrorbased magnetooptical trap mot to enable portable and miniaturized atom chip experiments where optical access is limited to a single window two different geometries of beam displacement are investigated a variation on the wellknown vortexmot and the other a novel hybridmot combining zeemanshifted and purely optical scattering force components the beam geometry is obtained similar to the mirrormot using a planar mirror surface but with a different magnetic field geometry more suited to planar systems using these techniques we have trapped around 6times 106 and 26times 106atoms of 85rb in the vortexmot and hybridmot respectively for the vortexmot the atoms are directly cooled well below the doppler temperature without any additional subdoppler cooling stage whereas the temperature of the hybridmot has been measured slightly above the doppler temperature limit in both cases the attained lower temperature ensures the quantum behaviour of the trapped atoms required for the applications of portable quantum sensors and many others | [['we', 'describe', 'the', 'application', 'of', 'displaced', 'or', 'misaligned', 'beams', 'in', 'a', 'mirrorbased', 'magnetooptical', 'trap', 'mot', 'to', 'enable', 'portable', 'and', 'miniaturized', 'atom', 'chip', 'experiments', 'where', 'optical', 'access', 'is', 'limited', 'to', 'a', 'single', 'window', 'two', 'different', 'geometries', 'of', 'beam', 'displacement', 'are', 'investigated', 'a', 'variation', 'on', 'the', 'wellknown', 'vortexmot', 'and', 'the', 'other', 'a', 'novel', 'hybridmot', 'combining', 'zeemanshifted', 'and', 'purely', 'optical', 'scattering', 'force', 'components', 'the', 'beam', 'geometry', 'is', 'obtained', 'similar', 'to', 'the', 'mirrormot', 'using', 'a', 'planar', 'mirror', 'surface', 'but', 'with', 'a', 'different', 'magnetic', 'field', 'geometry', 'more', 'suited', 'to', 'planar', 'systems', 'using', 'these', 'techniques', 'we', 'have', 'trapped', 'around', '6times', '106', 'and', '26times', '106atoms', 'of', '85rb', 'in', 'the', 'vortexmot', 'and', 'hybridmot', 'respectively', 'for', 'the', 'vortexmot', 'the', 'atoms', 'are', 'directly', 'cooled', 'well', 'below', 'the', 'doppler', 'temperature', 'without', 'any', 'additional', 'subdoppler', 'cooling', 'stage', 'whereas', 'the', 'temperature', 'of', 'the', 'hybridmot', 'has', 'been', 'measured', 'slightly', 'above', 'the', 'doppler', 'temperature', 'limit', 'in', 'both', 'cases', 'the', 'attained', 'lower', 'temperature', 'ensures', 'the', 'quantum', 'behaviour', 'of', 'the', 'trapped', 'atoms', 'required', 'for', 'the', 'applications', 'of', 'portable', 'quantum', 'sensors', 'and', 'many', 'others']] | [-0.10066641449272383, 0.20117949154909429, -0.026081945424865385, -0.00924995145334567, -0.015657541804901528, -0.19195719107860562, 0.0424670157599172, 0.4108548143469706, -0.2133795708877875, -0.30449144462714106, 0.07396096898890214, -0.2757265581295076, -0.023649355761491034, 0.26172709615372985, -0.022595840391260003, 0.07945757309292875, 0.008008378676405721, 0.01642250043351385, -0.06055475180690381, -0.1833902067467911, 0.2433448144285826, 0.0681149606527647, 0.2855879420743937, 0.06260612610551505, 0.11179279328945729, -0.012298868686562723, 0.056565047258783765, 0.022649378421447625, -0.10120864768183177, 0.10163853235724496, 0.19047949239100534, 0.039519889014716286, 0.1926627774643371, -0.44883153877260445, -0.2099255512684311, 0.08963086126548261, 0.14255964472640034, 0.14254393073852265, -0.07409102988272136, -0.2774926525676941, 0.0028836383014383565, -0.1176022347446145, -0.1409922481753023, -0.06610729198948276, -0.0077097779445111665, 0.026782084468655605, -0.25192562193700635, 0.026115458934261215, 0.04966805730563043, 0.10439896604852615, -0.06851049628614153, -0.11464295039314026, 0.016212065316589048, 0.0701069953303398, -0.05906985961922967, 0.033032272976436995, 0.21117476231941, -0.11161855321161722, -0.06548507748989434, 0.38408618861321, -0.07444264564844894, -0.1070197186398706, 0.21320129743785735, -0.16358992527806904, -0.050311814516601036, 0.16016944931399804, 0.1554571314705621, 0.1266948453281302, -0.1219756203794443, 0.03923932114607518, 0.010140283276020299, 0.17561618255156025, 0.14316073815173627, 0.053233135921778384, 0.2200628055586826, 0.14748608376603664, 0.040828822162838174, 0.15562231839803423, -0.16407505405084344, -0.046749705633307555, -0.21736136661124097, -0.12294500804273412, -0.16999650406566016, 0.016545987722077746, -0.05432990162364326, -0.11560497041536132, 0.3472966178854155, 0.11803324225858398, 0.19253062069836277, -0.039851219955868676, 0.3571983891278051, 0.10520939815437376, 0.09808979622832295, 0.044542519753321824, 0.2821971074480666, 0.15678946861696272, 0.11879808156149144, -0.2528852412857615, -0.029844422617404744, -0.014682845913850499] |
1,802.05526 | The Next Generation Virgo Cluster Survey (NGVS). XVIII. Measurement and
Calibration of Surface Brightness Fluctuation Distances for Bright Galaxies
in Virgo (and Beyond) | We describe a program to measure surface brightness fluctuation (SBF)
distances to galaxies observed in the Next Generation Virgo Cluster Survey
(NGVS), a photometric imaging survey covering $104~deg^2$ of the Virgo cluster
in the ${u}^*,g,i,z$ bandpasses with the Canada-France Hawaii Telescope. We
describe the selection of the sample galaxies, the procedures for measuring the
apparent $i$-band SBF magnitude $\bar{i}$, and the calibration of the absolute
$\bar{M}_i$ as a function of observed stellar population properties. The
multi-band NGVS data set provides multiple options for calibrating the SBF
distances, and we explore various calibrations involving individual color
indices as well as combinations of two different colors. Within the color range
of the present sample, the two-color calibrations do not significantly improve
the scatter with respect to wide-baseline, single-color calibrations involving
$u^{*}$. We adopt the ${u}^*{-}z$ calibration as reference for the present
galaxy sample, with an observed scatter of 0.11 mag. For a few cases that lack
good ${u}^*$ photometry, we use an alternative relation based on a combination
of $g{-}i$ and $g{-}z$ colors, with only a slightly larger observed scatter of
0.12 mag. The agreement of our measurements with the best existing distance
estimates provides confidence that our measurements are accurate. We present a
preliminary catalog of distances for 89 galaxies brighter than $B_T\approx13.0$
mag within the survey footprint, including members of the background M and W
Clouds at roughly twice the distance of the main body of the Virgo cluster. The
extension of the present work to fainter and bluer galaxies is in progress.
| astro-ph.GA | we describe a program to measure surface brightness fluctuation sbf distances to galaxies observed in the next generation virgo cluster survey ngvs a photometric imaging survey covering 104deg2 of the virgo cluster in the ugiz bandpasses with the canadafrance hawaii telescope we describe the selection of the sample galaxies the procedures for measuring the apparent iband sbf magnitude bari and the calibration of the absolute barm_i as a function of observed stellar population properties the multiband ngvs data set provides multiple options for calibrating the sbf distances and we explore various calibrations involving individual color indices as well as combinations of two different colors within the color range of the present sample the twocolor calibrations do not significantly improve the scatter with respect to widebaseline singlecolor calibrations involving u we adopt the uz calibration as reference for the present galaxy sample with an observed scatter of 011 mag for a few cases that lack good u photometry we use an alternative relation based on a combination of gi and gz colors with only a slightly larger observed scatter of 012 mag the agreement of our measurements with the best existing distance estimates provides confidence that our measurements are accurate we present a preliminary catalog of distances for 89 galaxies brighter than b_tapprox130 mag within the survey footprint including members of the background m and w clouds at roughly twice the distance of the main body of the virgo cluster the extension of the present work to fainter and bluer galaxies is in progress | [['we', 'describe', 'a', 'program', 'to', 'measure', 'surface', 'brightness', 'fluctuation', 'sbf', 'distances', 'to', 'galaxies', 'observed', 'in', 'the', 'next', 'generation', 'virgo', 'cluster', 'survey', 'ngvs', 'a', 'photometric', 'imaging', 'survey', 'covering', '104deg2', 'of', 'the', 'virgo', 'cluster', 'in', 'the', 'ugiz', 'bandpasses', 'with', 'the', 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'progress']] | [-0.04214716765866615, 0.049434746078331954, -0.09709435703232884, 0.08912122391769663, -0.0850118015180342, -0.025932894913479686, 0.07208839641138912, 0.44860647010803223, -0.14715917795524, -0.37777102254633793, 0.05711895579751581, -0.32443882101774213, -0.03193100140430033, 0.2198201055203099, -0.07735524521116167, -0.008448486502747982, 0.07549785304814577, -0.08995853018015623, -0.08119718695804477, -0.28969695333437995, 0.2613117411704734, 0.012588113706558943, 0.22953259747475385, -0.08811871562059968, 0.06657653756113723, 0.008040357660502196, -0.1272219235873781, 0.011468810319951445, -0.19105662570177812, 0.08212401426024735, 0.2330998191414401, 0.13131374356558081, 0.23214189558103682, -0.3015686634849117, -0.14838783440238332, 0.09363459654053441, 0.1605449565090239, 0.044364494804292914, -0.046164231671427844, -0.2697364882417023, 0.049362851486541334, -0.1389362940789433, -0.17623480904661118, 0.06819125818368048, 0.06444177456200123, 0.05675730902887881, 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1,802.05527 | Singular control and optimal stopping of memory mean-field processes | The purpose of this paper is to study the following topics and the relation
between them: (i) Optimal singular control of mean-field stochastic
differential equations with memory, (ii) reflected advanced mean-field backward
stochastic differential equations, and (iii) optimal stopping of mean-field
stochastic differential equations.
More specifically, we do the following:
- We prove the existence and uniqueness of the solutions of some reflected
advanced memory backward stochastic differential equations (AMBSDEs),
- we give sufficient and necessary conditions for an optimal singular control
of a memory mean-field stochastic differential equation (MMSDE) with partial
information, and
- we deduce a relation between the optimal singular control of a MMSDE, and
the optimal stopping of such processes.
| math.OC | the purpose of this paper is to study the following topics and the relation between them i optimal singular control of meanfield stochastic differential equations with memory ii reflected advanced meanfield backward stochastic differential equations and iii optimal stopping of meanfield stochastic differential equations more specifically we do the following we prove the existence and uniqueness of the solutions of some reflected advanced memory backward stochastic differential equations ambsdes we give sufficient and necessary conditions for an optimal singular control of a memory meanfield stochastic differential equation mmsde with partial information and we deduce a relation between the optimal singular control of a mmsde and the optimal stopping of such processes | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'study', 'the', 'following', 'topics', 'and', 'the', 'relation', 'between', 'them', 'i', 'optimal', 'singular', 'control', 'of', 'meanfield', 'stochastic', 'differential', 'equations', 'with', 'memory', 'ii', 'reflected', 'advanced', 'meanfield', 'backward', 'stochastic', 'differential', 'equations', 'and', 'iii', 'optimal', 'stopping', 'of', 'meanfield', 'stochastic', 'differential', 'equations', 'more', 'specifically', 'we', 'do', 'the', 'following', 'we', 'prove', 'the', 'existence', 'and', 'uniqueness', 'of', 'the', 'solutions', 'of', 'some', 'reflected', 'advanced', 'memory', 'backward', 'stochastic', 'differential', 'equations', 'ambsdes', 'we', 'give', 'sufficient', 'and', 'necessary', 'conditions', 'for', 'an', 'optimal', 'singular', 'control', 'of', 'a', 'memory', 'meanfield', 'stochastic', 'differential', 'equation', 'mmsde', 'with', 'partial', 'information', 'and', 'we', 'deduce', 'a', 'relation', 'between', 'the', 'optimal', 'singular', 'control', 'of', 'a', 'mmsde', 'and', 'the', 'optimal', 'stopping', 'of', 'such', 'processes']] | [-0.16284427129021087, 0.034960395907816105, -0.09941998118948606, 0.14025052830025, -0.13284424354141164, -0.16682906425126862, 0.04548049208824523, 0.2801162418219502, -0.368133630776019, -0.24838300294208307, 0.13742733366476992, -0.284240084316547, -0.1771112424450823, 0.1384645557921397, -0.08105946037728616, 0.1346618313583787, 0.02242393698974478, 0.009527416835125122, -0.10280714998953044, -0.20708832484497516, 0.3786904001996542, -0.023602515622904455, 0.21925889614417596, -0.02646465077823787, 0.228645415178983, 0.03024534614222055, -0.06544200025921411, 0.026076223520148132, -0.2076025481629013, 0.10970279108732939, 0.2755364183922885, 0.1176621992964539, 0.3263766533108773, -0.49972238910763905, -0.133537839153885, 0.09629624127410352, 0.10804531633874392, 0.1491396635581084, -0.052836723118902966, -0.25673154724278935, 0.07573258119669778, -0.12080949517311873, -0.16245156707656053, -0.04947640500203879, 0.02039210965718936, 0.15288210115869771, -0.3183406157186255, 0.08357169296100943, 0.11515087334232198, 0.0376033150284827, -0.11229467884900428, -0.07163601585974295, -0.025374533970736794, 0.07719453229327444, -0.004657418210559559, -0.08995073160945645, 0.07041269113068227, -0.11956427636754664, -0.14451026150857582, 0.2814435248707283, -0.10096855331600334, -0.2335535272248779, 0.1288221152499318, -0.1249717228368994, -0.11074069399748826, 0.14260652035267818, 0.20588208936775723, 0.18815186486527738, -0.24198107783579165, 0.07166267841886212, -0.008942309637657471, 0.12152982987808408, 0.03323656041175127, 0.022090441875021766, 0.05169705644732824, 0.1770209315388153, 0.17846599596561175, 0.08847200364754018, -0.018596682665466453, -0.21754118971768077, -0.3675101306979303, -0.15622665380188092, -0.006815383831659953, 0.10990132243993382, -0.11775767969030076, -0.15631221288263245, 0.32636756330504324, 0.168773628503981, 0.12800494543518182, 0.08769096282345278, 0.2568294297196661, 0.26095247990182274, -0.08558952649279188, 0.08246406977909997, 0.19285637841918893, 0.2020314300973917, 0.1830992244735912, -0.3032907849410549, 0.07577640145016765, 0.10048009217846104] |
1,802.05528 | Spherical CR uniformization of Dehn surgeries of the Whitehead link
complement | We apply a spherical CR Dehn surgery theorem in order to obtain infinitely
many Dehn surgeries of the Whitehead link complement that carry spherical CR
structures. We consider as starting point the spherical CR uniformization of
the Whitehead link complement constructed by Parker and Will, using a Ford
domain in the complex hyperbolic plane $\mathbb{H}^2_{\mathbb{C}}$. We deform
the Ford domain of Parker and Will in $\mathbb{H}^2_{\mathbb{C}}$ in a one
parameter family. On the one side, we obtain infinitely many spherical CR
uniformizations on a particular Dehn surgery on one of the cusps of the
Whitehead link complement. On the other side, we obtain spherical CR
uniformizations for infinitely many Dehn surgeries on the same cusp of the
Whitehead link complement. These manifolds are parametrized by an integer $n
\geq 4$, and the spherical CR structure obtained for $n = 4$ is the
Deraux-Falbel spherical CR uniformization of the Figure Eight knot complement.
| math.GT | we apply a spherical cr dehn surgery theorem in order to obtain infinitely many dehn surgeries of the whitehead link complement that carry spherical cr structures we consider as starting point the spherical cr uniformization of the whitehead link complement constructed by parker and will using a ford domain in the complex hyperbolic plane mathbbh2_mathbbc we deform the ford domain of parker and will in mathbbh2_mathbbc in a one parameter family on the one side we obtain infinitely many spherical cr uniformizations on a particular dehn surgery on one of the cusps of the whitehead link complement on the other side we obtain spherical cr uniformizations for infinitely many dehn surgeries on the same cusp of the whitehead link complement these manifolds are parametrized by an integer n geq 4 and the spherical cr structure obtained for n 4 is the derauxfalbel spherical cr uniformization of the figure eight knot complement | [['we', 'apply', 'a', 'spherical', 'cr', 'dehn', 'surgery', 'theorem', 'in', 'order', 'to', 'obtain', 'infinitely', 'many', 'dehn', 'surgeries', 'of', 'the', 'whitehead', 'link', 'complement', 'that', 'carry', 'spherical', 'cr', 'structures', 'we', 'consider', 'as', 'starting', 'point', 'the', 'spherical', 'cr', 'uniformization', 'of', 'the', 'whitehead', 'link', 'complement', 'constructed', 'by', 'parker', 'and', 'will', 'using', 'a', 'ford', 'domain', 'in', 'the', 'complex', 'hyperbolic', 'plane', 'mathbbh2_mathbbc', 'we', 'deform', 'the', 'ford', 'domain', 'of', 'parker', 'and', 'will', 'in', 'mathbbh2_mathbbc', 'in', 'a', 'one', 'parameter', 'family', 'on', 'the', 'one', 'side', 'we', 'obtain', 'infinitely', 'many', 'spherical', 'cr', 'uniformizations', 'on', 'a', 'particular', 'dehn', 'surgery', 'on', 'one', 'of', 'the', 'cusps', 'of', 'the', 'whitehead', 'link', 'complement', 'on', 'the', 'other', 'side', 'we', 'obtain', 'spherical', 'cr', 'uniformizations', 'for', 'infinitely', 'many', 'dehn', 'surgeries', 'on', 'the', 'same', 'cusp', 'of', 'the', 'whitehead', 'link', 'complement', 'these', 'manifolds', 'are', 'parametrized', 'by', 'an', 'integer', 'n', 'geq', '4', 'and', 'the', 'spherical', 'cr', 'structure', 'obtained', 'for', 'n', '4', 'is', 'the', 'derauxfalbel', 'spherical', 'cr', 'uniformization', 'of', 'the', 'figure', 'eight', 'knot', 'complement']] | [-0.24129799742729882, 0.05830769878869162, -0.08848715910839068, 0.1025165521918884, -0.11106289762097436, -0.13758342302202978, -0.01999501258487234, 0.33020665327942855, -0.2634501305371019, -0.26698923438497996, 0.11516167000061958, -0.29262113828539243, -0.1552770813908176, 0.2651281389690986, -0.07026733407661054, -0.03153900394367205, 0.03460021424296035, 0.07705857143328348, -0.08458221691968926, -0.25891049649264364, 0.39402793443484885, -0.03796744737396571, 0.1612031023298088, 0.07077826263785765, 0.024411484221550258, 0.029282824671197985, -0.03362231934443116, 0.012599070660291693, -0.21342128885752007, 0.11662916648296036, 0.2223132765722914, 0.037802774619587975, 0.13244019224107065, -0.43371560380517227, -0.20604674608094264, 0.11084107840056154, 0.16742237732191947, -0.033266328904475714, -0.042652948831075906, -0.24360265238588122, 0.05974428860841923, -0.1433160762629799, -0.21327126723386952, -0.017965293904716097, -0.02186946717493639, 0.06022420714647081, -0.14952678069341738, -0.03282614460063947, 0.13064132264588732, 0.08800862019573263, -0.011957277499793752, -0.12637437605047347, -0.03568978996230038, 0.16270513373829826, 0.024221898066792386, 0.07438184946108409, 0.11352846306761273, -0.07428669012969712, -0.12977392604020802, 0.3323916499514756, -0.032982710740258415, -0.2705974186946814, 0.16268012330968035, -0.18412164070114895, -0.22653342028010032, 0.20204149555836529, 0.10374567449734723, 0.09870694117066828, -0.01810298079185855, 0.1607538186555659, -0.12431612842703692, 0.08234959607373615, 0.17970273113570404, -0.13297089771682247, 0.14060093378144745, 0.06496068482079569, 0.16857917529312152, 0.13637934122399767, -0.09012890505805812, -0.0013401387699854535, -0.2802244724101714, -0.2693306254222989, -0.17635448072561868, 0.1609270553343703, -0.1332913293874692, -0.17106673324707192, 0.38483812277381485, -0.043904357816319205, 0.17276988838597931, 0.10126463584035535, 0.2667925465738753, -0.024927700994413573, 0.00496444693999365, 0.08241563195652152, 0.15680807834881283, 0.13601075002382434, -0.0017502790008596069, -0.11450933606239552, -0.06723009028497177, 0.2141576034293787] |
1,802.05529 | Observation of broadband entanglement in microwave radiation from a
single time-varying boundary condition | Entangled pairs of microwave photons are commonly produced in the narrow
frequency band of a resonator, which represents a modified vacuum density of
states. We use a broadband, semi-infinite transmission line terminated by a
superconducting quantum interference device (SQUID). A weak pump signal
modulates the SQUID inductance, resulting in a single time-varying boundary
condition. We detect both quadratures of the microwave radiation emitted at two
different frequencies separated by 0.7~GHz. We determine the type and purity of
entanglement from the noise correlations and an in-situ noise and power
calibration.
| quant-ph | entangled pairs of microwave photons are commonly produced in the narrow frequency band of a resonator which represents a modified vacuum density of states we use a broadband semiinfinite transmission line terminated by a superconducting quantum interference device squid a weak pump signal modulates the squid inductance resulting in a single timevarying boundary condition we detect both quadratures of the microwave radiation emitted at two different frequencies separated by 07ghz we determine the type and purity of entanglement from the noise correlations and an insitu noise and power calibration | [['entangled', 'pairs', 'of', 'microwave', 'photons', 'are', 'commonly', 'produced', 'in', 'the', 'narrow', 'frequency', 'band', 'of', 'a', 'resonator', 'which', 'represents', 'a', 'modified', 'vacuum', 'density', 'of', 'states', 'we', 'use', 'a', 'broadband', 'semiinfinite', 'transmission', 'line', 'terminated', 'by', 'a', 'superconducting', 'quantum', 'interference', 'device', 'squid', 'a', 'weak', 'pump', 'signal', 'modulates', 'the', 'squid', 'inductance', 'resulting', 'in', 'a', 'single', 'timevarying', 'boundary', 'condition', 'we', 'detect', 'both', 'quadratures', 'of', 'the', 'microwave', 'radiation', 'emitted', 'at', 'two', 'different', 'frequencies', 'separated', 'by', '07ghz', 'we', 'determine', 'the', 'type', 'and', 'purity', 'of', 'entanglement', 'from', 'the', 'noise', 'correlations', 'and', 'an', 'insitu', 'noise', 'and', 'power', 'calibration']] | [-0.22845992972758145, 0.19911159369290876, -0.018758840578481217, -0.005072388498030539, -0.016323544772934507, -0.20563208901810207, 0.051793137350945144, 0.40489986943165684, -0.23768903745803982, -0.2817908670774407, -0.007362154320369221, -0.3023938404142179, -0.04025775922293013, 0.22687947359571065, 0.004436292652495798, 0.044316970293452454, 0.02144744134486907, -0.037308196727694434, -0.038316830241290685, -0.11088039289461449, 0.3078192947432399, 0.07541376273332968, 0.3710714922371236, -0.0019154527161101048, 0.11881558832564307, -0.015086379214401612, 0.01822176604764536, -0.0033389059191739016, -0.07780339720457877, 0.03401936629234115, 0.24570768119619144, 0.03427919720045545, 0.21559203911403363, -0.43456054614348844, -0.21260672952683474, 0.10506368491967971, 0.10147222029098141, 0.12835023376101162, -0.015897692223502832, -0.3117332702544941, -0.009655969439667057, -0.1296916385922073, -0.08214530122826215, 0.027062667279758236, -0.07854874005054378, 0.022630259849723767, -0.2956949240072969, 0.07333764332791114, 0.013197997475799639, 0.03725322836544365, 0.00891967354321175, 0.0156820924365258, -0.01932629756629467, 0.06792780726259066, -0.10840193546292456, -0.03634167333207601, 0.20790864103897053, -0.10070493055931448, -0.09159867341672494, 0.25336691914972936, -0.1094551942395893, -0.11539980073840442, 0.1199635779101465, -0.15192875352592886, -0.022568891650404443, 0.1879345546476543, 0.1194626007398421, 0.06592727988027036, -0.1734756639859618, 0.019091442730727562, 0.07368465979181399, 0.24339107720350678, 0.18315492339686237, 0.1417430851672014, 0.2904485525584526, 0.1019107772868169, 0.030366454379294406, 0.22490553701804442, -0.16958901383226144, 0.018957341722191566, -0.31688013521488756, -0.12051179365053857, -0.24067606362090868, 0.09398087117402941, -0.07475781839143152, -0.19383417964193292, 0.44295247172174806, 0.10351146071546034, 0.15610073044345799, -0.06299609030909116, 0.3820000267587602, 0.16852575102397663, 0.033320744879099286, 0.013437196400693872, 0.3008038529660553, 0.20980372321686114, 0.11794180477789434, -0.2918497418471485, -0.02758689912628721, -0.07006896518975157] |
1,802.0553 | Gaussian process modeling of heterogeneity and discontinuities using
Voronoi tessellations | Many methods for modelling spatial processes assume global smoothness
properties; such assumptions are often violated in practice. We introduce a
method for modelling spatial processes that display heterogeneity or contain
discontinuities. The problem of non-stationarity is dealt with by using a
combination of Voronoi tessellation to partition the input space, and a
separate Gaussian process to model the data on each region of the partitioned
space. Our method is highly flexible because we allow the Voronoi cells to form
relationships with each other, which can enable non-convex and disconnected
regions to be considered. In such problems, identifying the borders between
regions is often of great importance and we propose an adaptive sampling method
to gain extra information along such borders. The method is illustrated with
simulation studies and application to real data.
| stat.ME | many methods for modelling spatial processes assume global smoothness properties such assumptions are often violated in practice we introduce a method for modelling spatial processes that display heterogeneity or contain discontinuities the problem of nonstationarity is dealt with by using a combination of voronoi tessellation to partition the input space and a separate gaussian process to model the data on each region of the partitioned space our method is highly flexible because we allow the voronoi cells to form relationships with each other which can enable nonconvex and disconnected regions to be considered in such problems identifying the borders between regions is often of great importance and we propose an adaptive sampling method to gain extra information along such borders the method is illustrated with simulation studies and application to real data | [['many', 'methods', 'for', 'modelling', 'spatial', 'processes', 'assume', 'global', 'smoothness', 'properties', 'such', 'assumptions', 'are', 'often', 'violated', 'in', 'practice', 'we', 'introduce', 'a', 'method', 'for', 'modelling', 'spatial', 'processes', 'that', 'display', 'heterogeneity', 'or', 'contain', 'discontinuities', 'the', 'problem', 'of', 'nonstationarity', 'is', 'dealt', 'with', 'by', 'using', 'a', 'combination', 'of', 'voronoi', 'tessellation', 'to', 'partition', 'the', 'input', 'space', 'and', 'a', 'separate', 'gaussian', 'process', 'to', 'model', 'the', 'data', 'on', 'each', 'region', 'of', 'the', 'partitioned', 'space', 'our', 'method', 'is', 'highly', 'flexible', 'because', 'we', 'allow', 'the', 'voronoi', 'cells', 'to', 'form', 'relationships', 'with', 'each', 'other', 'which', 'can', 'enable', 'nonconvex', 'and', 'disconnected', 'regions', 'to', 'be', 'considered', 'in', 'such', 'problems', 'identifying', 'the', 'borders', 'between', 'regions', 'is', 'often', 'of', 'great', 'importance', 'and', 'we', 'propose', 'an', 'adaptive', 'sampling', 'method', 'to', 'gain', 'extra', 'information', 'along', 'such', 'borders', 'the', 'method', 'is', 'illustrated', 'with', 'simulation', 'studies', 'and', 'application', 'to', 'real', 'data']] | [-0.058284325663187316, 0.04762658318004193, -0.08195961891694671, 0.08050579679863376, -0.09709576918094447, -0.12173961327679342, 0.034083202318993935, 0.4334237537431446, -0.30385002635011915, -0.29496191994456405, 0.11925234276339214, -0.2591097700677699, -0.17617378556910393, 0.171901271361011, -0.09527578717395292, 0.02750513887131643, 0.05171863193743664, -0.02646526028790201, -0.016165363566180917, -0.22341493120466388, 0.3190141699742526, 0.022805558619879637, 0.2996609746125724, 0.014278167740540635, 0.11155360323204094, 0.004727538121215096, -0.06792525876891997, 0.0653813310301771, -0.08685155824969115, 0.14279323777758912, 0.266576818915465, 0.16624616211188506, 0.3046783217878053, -0.4372725306840783, -0.2761819969552259, 0.14218000557527624, 0.16234384889530978, 0.06666708493933336, -0.025830165766158396, -0.2691367665714951, 0.07528286321956495, -0.1068218813143727, -0.11218180618368823, -0.11791582492702274, -0.046457990642397126, 0.038196242484969625, -0.32890093741606863, 0.06685613682599399, 0.010952292673402664, 0.03905074641277844, -0.030806632828898728, -0.09173444994358403, -0.010179734935236134, 0.14693521907743576, 0.02723172766215584, 0.0017957848745440556, 0.12589843630452047, -0.1015198178321236, -0.08963297201659191, 0.3716417889138966, 0.0298269915528539, -0.305628379688697, 0.22743489584448098, -0.13418639896112974, -0.16060432537712835, 0.14644866517857846, 0.20515712786370635, 0.11224628790902595, -0.15451688011473214, 0.05233956682037167, 0.013143973876581047, 0.15016151908220668, 0.027094413741548178, 0.030220151111610572, 0.17571514859534518, 0.19614348065277393, 0.07185107537952717, 0.1438493916273618, -0.11212433577615726, -0.12329938121591554, -0.27880722874154645, -0.1285501238449025, -0.178020338196251, -0.06652425643882122, -0.13919088646556096, -0.20368199788781843, 0.34604053800946777, 0.1655676085854683, 0.22261007722453074, 0.003612404520743329, 0.3209891954249928, 0.0846735179542465, 0.08493891341442411, 0.07183061504143883, 0.13176377161730532, 0.0758857550611014, 0.06346841864499518, -0.14535922405246476, 0.09769797878812603, 0.04398388378004628] |
1,802.05531 | Linear maps on $M_n(\mathbb{R})$ preserving Schur stable matrices | An $n \times n$ matrix $A$ with real entries is said to be Schur stable if
all the eigenvalues of $A$ are inside the open unit disc. We investigate the
structure of linear maps on $M_n(\mathbb{R})$ that preserve the collection
$\mathcal{S}$ of Schur stable matrices. We prove that if $L$ is a linear map
such that $L(\mathcal{S}) \subseteq \mathcal{S}$, then $\rho(L)$ (the spectral
radius of $L$) is at most $1$ and when $L(\mathcal{S}) = \mathcal{S}$, we have
$\rho(L) = 1$. In the latter case, the map $L$ preserves the spectral radius
function and using this, we characterize such maps on both $M_n(\mathbb{R})$ as
well as on $\mathcal{S}^n$.
| math.FA | an n times n matrix a with real entries is said to be schur stable if all the eigenvalues of a are inside the open unit disc we investigate the structure of linear maps on m_nmathbbr that preserve the collection mathcals of schur stable matrices we prove that if l is a linear map such that lmathcals subseteq mathcals then rhol the spectral radius of l is at most 1 and when lmathcals mathcals we have rhol 1 in the latter case the map l preserves the spectral radius function and using this we characterize such maps on both m_nmathbbr as well as on mathcalsn | [['an', 'n', 'times', 'n', 'matrix', 'a', 'with', 'real', 'entries', 'is', 'said', 'to', 'be', 'schur', 'stable', 'if', 'all', 'the', 'eigenvalues', 'of', 'a', 'are', 'inside', 'the', 'open', 'unit', 'disc', 'we', 'investigate', 'the', 'structure', 'of', 'linear', 'maps', 'on', 'm_nmathbbr', 'that', 'preserve', 'the', 'collection', 'mathcals', 'of', 'schur', 'stable', 'matrices', 'we', 'prove', 'that', 'if', 'l', 'is', 'a', 'linear', 'map', 'such', 'that', 'lmathcals', 'subseteq', 'mathcals', 'then', 'rhol', 'the', 'spectral', 'radius', 'of', 'l', 'is', 'at', 'most', '1', 'and', 'when', 'lmathcals', 'mathcals', 'we', 'have', 'rhol', '1', 'in', 'the', 'latter', 'case', 'the', 'map', 'l', 'preserves', 'the', 'spectral', 'radius', 'function', 'and', 'using', 'this', 'we', 'characterize', 'such', 'maps', 'on', 'both', 'm_nmathbbr', 'as', 'well', 'as', 'on', 'mathcalsn']] | [-0.12414240822630021, 0.08884474656499981, -0.022434382080055267, 0.02852135731440797, -0.0055176837650100586, -0.11671243175339785, -0.02597542065512208, 0.3749727886712667, -0.32234060074975807, -0.17712275493546453, 0.13867650297583414, -0.3149484301944381, -0.1435774478844358, 0.15711137683139842, -0.053707192335458634, 0.027771547202753284, 0.025807147655744576, 0.0922387920600335, -0.0955215436316014, -0.2305876826641412, 0.34596311279292247, -0.015236791476462652, 0.1598236700587734, 0.02157286621033422, 0.10392428240151082, -0.0014390664455453748, 0.003182108206584037, 0.020964890026749627, -0.14644063623881734, 0.05624114872336171, 0.22277787333869745, 0.16678327041027108, 0.22669448951503388, -0.34702584854535107, -0.11930989231959492, 0.17887175120797588, 0.14690864025569947, -0.01909132885918455, 0.030498782216878698, -0.2180034388647894, 0.17300569125026174, -0.12414518953527062, -0.10353268673010532, -0.05103862283127473, 0.11155886501435516, 0.015787264870172277, -0.3051169883099258, -0.002610134819829927, 0.10381065163585058, 0.039314632421558346, -0.02069720083585425, -0.14327360836119907, -0.06701839538697985, 0.10959531379399089, -0.03717201744495593, 0.06397141328587838, 0.1026047689442351, -0.04992643848188149, -0.0366777837213165, 0.35725911724769954, -0.09032245297369194, -0.24020397647858135, 0.12696354644874888, -0.20535259303248043, -0.13439581680645063, 0.08712853053675114, 0.10654633494943959, 0.14227182375158645, -0.03459201295517082, 0.20507381293013946, -0.1563853572000686, 0.17827884997896742, 0.08490160223801882, 0.029948209925527568, 0.16489687692193153, 0.08365569674993133, 0.13348691416135763, 0.1261858662343991, -0.05735044226330678, -0.006164835530866697, -0.34071278026851926, -0.17312737844558884, -0.2053463903348441, 0.1227169731921218, -0.12148371216297393, -0.18758314302715573, 0.38047697112976925, 0.06856996704399296, 0.28757033225836104, 0.09286081447329336, 0.22649022659232604, 0.13136746368859217, 0.08053482171979923, 0.12182313987750162, 0.1181266802539416, 0.16205202791053186, -0.015488961209696762, -0.18942508762205038, -0.0011537838049088288, 0.11375018700197773] |
1,802.05532 | Strongly gravitational lensed SNe Ia as multi-messengers: Direct test of
the Friedmann-Lema\^{\i}tre-Robertson-Walker metric | We present a new idea of testing the validity of the
Friedman-Lema\^{\i}tre-Robertson-Walker metric, through the multiple
measurements of galactic-scale strong gravitational lensing systems with type
Ia supernovae in the role of sources. Each individual lensing system will
provide a model-independent measurement of the spatial curvature parameter
referring only to geometrical optics independently of the matter content of the
universe. This will create a valuable opportunity to test the FLRW metric
directly. Our results show that with hundreds of strongly lensed SNe Ia
observed by LSST, one would produce robust constraints on the spatial curvature
with accuracy $\Delta \Omega_k=0.04$ comparable to the Planck 2015 results.
| astro-ph.CO astro-ph.GA gr-qc | we present a new idea of testing the validity of the friedmanlemaitrerobertsonwalker metric through the multiple measurements of galacticscale strong gravitational lensing systems with type ia supernovae in the role of sources each individual lensing system will provide a modelindependent measurement of the spatial curvature parameter referring only to geometrical optics independently of the matter content of the universe this will create a valuable opportunity to test the flrw metric directly our results show that with hundreds of strongly lensed sne ia observed by lsst one would produce robust constraints on the spatial curvature with accuracy delta omega_k004 comparable to the planck 2015 results | [['we', 'present', 'a', 'new', 'idea', 'of', 'testing', 'the', 'validity', 'of', 'the', 'friedmanlemaitrerobertsonwalker', 'metric', 'through', 'the', 'multiple', 'measurements', 'of', 'galacticscale', 'strong', 'gravitational', 'lensing', 'systems', 'with', 'type', 'ia', 'supernovae', 'in', 'the', 'role', 'of', 'sources', 'each', 'individual', 'lensing', 'system', 'will', 'provide', 'a', 'modelindependent', 'measurement', 'of', 'the', 'spatial', 'curvature', 'parameter', 'referring', 'only', 'to', 'geometrical', 'optics', 'independently', 'of', 'the', 'matter', 'content', 'of', 'the', 'universe', 'this', 'will', 'create', 'a', 'valuable', 'opportunity', 'to', 'test', 'the', 'flrw', 'metric', 'directly', 'our', 'results', 'show', 'that', 'with', 'hundreds', 'of', 'strongly', 'lensed', 'sne', 'ia', 'observed', 'by', 'lsst', 'one', 'would', 'produce', 'robust', 'constraints', 'on', 'the', 'spatial', 'curvature', 'with', 'accuracy', 'delta', 'omega_k004', 'comparable', 'to', 'the', 'planck', '2015', 'results']] | [-0.10645449738067946, 0.06117675395103768, -0.1027898500375088, 0.08997741059820592, -0.16523737052582133, -0.1235692724286018, 3.1759395056123874e-05, 0.32340323934964477, -0.21816755860175902, -0.32318480714287573, 0.03548390747305657, -0.2962051278649314, -0.0755700682949962, 0.22142307963493524, -0.019984589982961497, 0.029121772509330467, 0.10055809301658741, -0.026384647650524378, -0.06718432412989148, -0.33404269150584864, 0.35303424502207525, 0.13376716310067951, 0.2524760617983066, -0.014225128701282213, 0.10612607052215167, -0.06149132618481673, -0.10949364593885477, 0.039592283285105404, -0.16502341233880216, 0.10843858812049538, 0.18918073425087537, 0.19250234323825, 0.24570814879990896, -0.3703918698022269, -0.2643771402049557, 0.11961044790675339, 0.13577991513336457, 0.11654931901800401, -0.0671573535062246, -0.3698596682182504, 0.05512319003611586, -0.13042453477991003, -0.1476637999915961, -0.03406296557412275, -0.03961238369924351, 0.044432652620282204, -0.2359127104327589, 0.12589188249673225, 0.015792879825277092, -0.022528111652100405, -0.06611480878765505, -0.038511293771839476, -1.1233728180087885e-05, 0.07285788211772598, 0.018564909081725242, 0.03972927530666868, 0.10371989856736319, -0.12488774795003814, -0.062357501348353994, 0.427214155281053, -0.10306835188801644, -0.13151511072533803, 0.16966665371601442, -0.19521077563850553, -0.16206352455649994, 0.06498835074208967, 0.18849811721050624, 0.06833403100919666, -0.1790457028235553, 0.019967589357831668, 0.024161526426962277, 0.21592832735549766, 0.027882132756080733, 0.09669429373484358, 0.3175733117748377, 0.1355806685378323, 0.07352343797502876, 0.06730572574148044, -0.15507574563674195, 0.017836912706928346, -0.34019634468103443, -0.10578362159069302, -0.15907973845407947, 0.10044124109887527, -0.20998564326358074, -0.142397442431917, 0.36517504041616633, 0.1513701329477927, 0.18117832267675008, 0.036784151306791794, 0.30659021269891734, 1.172870239333331e-05, 0.07104547238610323, 0.021938945636948915, 0.3672584736159126, 0.11811587001305544, 0.11282677756107042, -0.22099052885890874, 0.03438067420846918, 0.010985619736636438] |
1,802.05533 | The role of noise modeling in the estimation of resting-state brain
effective connectivity | Causal relations among neuronal populations of the brain are studied through
the so-called effective connectivity (EC) network. The latter is estimated from
EEG or fMRI measurements, by inverting a generative model of the corresponding
data. It is clear that the goodness of the estimated network heavily depends on
the underlying modeling assumptions. In this present paper we consider the EC
estimation problem using fMRI data in resting-state condition. Specifically, we
investigate on how to model endogenous fluctuations driving the neuronal
activity.
| cs.SY q-bio.NC | causal relations among neuronal populations of the brain are studied through the socalled effective connectivity ec network the latter is estimated from eeg or fmri measurements by inverting a generative model of the corresponding data it is clear that the goodness of the estimated network heavily depends on the underlying modeling assumptions in this present paper we consider the ec estimation problem using fmri data in restingstate condition specifically we investigate on how to model endogenous fluctuations driving the neuronal activity | [['causal', 'relations', 'among', 'neuronal', 'populations', 'of', 'the', 'brain', 'are', 'studied', 'through', 'the', 'socalled', 'effective', 'connectivity', 'ec', 'network', 'the', 'latter', 'is', 'estimated', 'from', 'eeg', 'or', 'fmri', 'measurements', 'by', 'inverting', 'a', 'generative', 'model', 'of', 'the', 'corresponding', 'data', 'it', 'is', 'clear', 'that', 'the', 'goodness', 'of', 'the', 'estimated', 'network', 'heavily', 'depends', 'on', 'the', 'underlying', 'modeling', 'assumptions', 'in', 'this', 'present', 'paper', 'we', 'consider', 'the', 'ec', 'estimation', 'problem', 'using', 'fmri', 'data', 'in', 'restingstate', 'condition', 'specifically', 'we', 'investigate', 'on', 'how', 'to', 'model', 'endogenous', 'fluctuations', 'driving', 'the', 'neuronal', 'activity']] | [-0.08591428401313699, 0.08075048005708528, -0.05513608942015304, 0.1443164790003204, -0.06768556261711099, -0.12317156487569948, 0.04225763829028303, 0.3843085005603455, -0.25953228046426285, -0.30208439149399413, 0.09769807417049176, -0.25876536096135777, -0.2725417181579281, 0.1553729228577634, -0.06874485912928242, 0.01968245399127036, 0.07621701147384298, 0.08092982681284164, -0.006201090970950454, -0.17236809595488012, 0.34549405551113094, 0.05487793905913462, 0.3616378255142474, -0.026510640541896408, 0.0919094174887617, 0.016766646026093283, -0.058244055792413374, -0.003540589505760574, -0.13646777452554992, 0.17579689780451405, 0.24396567472923594, 0.21274244906035839, 0.3047173398282425, -0.4983600407470892, -0.2797317950077999, 0.12007930824234161, 0.09224804866208154, 0.05324089502984727, 0.02160424844039903, -0.3086608826056307, 0.07609021059168433, -0.0939173929301309, -0.0059373011082456805, -0.05744874839567476, -0.009985372056195766, -0.005018111795508935, -0.30215827062909983, 0.1445846959102732, 0.021769617051805978, 0.12823811267721064, -0.10907450210688245, -0.03746137707091776, -0.0071458013463811376, 0.16210964155084465, 0.07351214892409144, 0.01118869750680011, 0.17883648323240103, -0.1388072288899832, -0.10173729635964802, 0.2685396357634921, -0.01404519097155167, -0.1974533510244923, 0.16075489105495774, -0.1221425511966241, -0.17348226398965458, 0.04396643088900565, 0.19467578703008684, 0.049731713708168195, -0.2407108814812001, 0.06704098739902731, -0.03894686074582515, 0.18958052240001658, -0.014636736345925817, -0.03635829043816085, 0.1154214088736033, 0.24318577941323136, -0.022087226403348238, 0.15653119732936224, -0.1640297373710775, -0.05546910588825007, -0.23857736300079174, -0.02019867317084177, -0.2020546220369453, 0.03218937540742321, -0.1311547077709326, -0.14418018111717645, 0.46497354157452964, 0.1961202763342931, 0.2078493852800701, 0.053797277731154065, 0.30656276647875336, 0.1022949210572183, 0.051277246228476736, 0.0534488827990437, 0.20173012416947772, 0.14254854128834, 0.08547404529756786, -0.26247599456002246, 0.18945664072547247, -0.01068940564967048] |
1,802.05534 | Opportunity in Conflict: Understanding Tension Among Key Groups on the
Trail | This paper examines the question of who technology users on the trail are,
what their technological uses and needs are, and what conflicts exist between
different trail users regarding technology use and experience, toward
understanding how experiences of trail users contribute to designers. We argue
that exploring these tensions provide opportunities for design that can be used
to both mitigate conflicts and improve community on the trail.
| cs.HC | this paper examines the question of who technology users on the trail are what their technological uses and needs are and what conflicts exist between different trail users regarding technology use and experience toward understanding how experiences of trail users contribute to designers we argue that exploring these tensions provide opportunities for design that can be used to both mitigate conflicts and improve community on the trail | [['this', 'paper', 'examines', 'the', 'question', 'of', 'who', 'technology', 'users', 'on', 'the', 'trail', 'are', 'what', 'their', 'technological', 'uses', 'and', 'needs', 'are', 'and', 'what', 'conflicts', 'exist', 'between', 'different', 'trail', 'users', 'regarding', 'technology', 'use', 'and', 'experience', 'toward', 'understanding', 'how', 'experiences', 'of', 'trail', 'users', 'contribute', 'to', 'designers', 'we', 'argue', 'that', 'exploring', 'these', 'tensions', 'provide', 'opportunities', 'for', 'design', 'that', 'can', 'be', 'used', 'to', 'both', 'mitigate', 'conflicts', 'and', 'improve', 'community', 'on', 'the', 'trail']] | [-0.08787419889539258, 0.09277712878312415, -0.08671945359543967, 0.08563162302146596, -0.1784381263180455, -0.18802632604127945, 0.11729790991929763, 0.4448947626263348, -0.24470953960249672, -0.3844488931458388, 0.08775392830816668, -0.30763779579898093, -0.20622710552789383, 0.16125635922288717, -0.14906921824301356, -0.026677533344768765, 0.06330276458565869, -0.026536911798540307, 0.029519379097245523, -0.2952474986772929, 0.3164166174342494, 0.11106959892325659, 0.2905107678275611, 0.1461673373662269, 0.008173497692584547, -0.016001198030730236, -0.0897291378993819, -0.02120415459876991, -0.14526453166057654, 0.16640465680176197, 0.31757708260817313, 0.2807360345275322, 0.33102357771192026, -0.5070885281954238, -0.1746704627189841, 0.05951856173324718, 0.15995961616733181, 0.07825541688101505, -0.046577975796813616, -0.2947046094080572, 0.0967407241870246, -0.18788267666501784, -0.14167845140753396, -0.056986408391550405, -0.031148638409465107, 0.026362670446509747, -0.1762292902471859, -0.0640808032154898, 0.028400724503531385, 0.044987662250537484, 0.0035539327967745154, -0.07990173501337865, 0.05291006943113657, 0.29355620359306905, 0.08072896144846316, 0.002071468910174583, 0.14876612268193667, -0.15778483444505106, -0.15455611500499852, 0.40130032515570296, 0.06827692601329355, -0.1557040792028072, 0.25104840298586373, -0.07861140055526326, -0.12570952503149635, 0.04276364269482194, 0.25311128061209154, 0.0041212349045854895, -0.14818434903759564, -0.012401996142189228, -0.011138679737697787, 0.15777112098772134, 0.11730769941315694, 0.06717421931784544, 0.32329492565633644, 0.15048241277517221, 0.08339215421687755, 0.07272218919616304, 0.0077172043427491364, -0.0834002547216282, -0.19071000719915576, -0.16252152963694352, -0.0930983209635006, 0.008836266730647923, -0.01745274143707035, -0.06971483192503897, 0.36380630827494964, 0.31326882554384977, 0.12801492678474136, 0.030368685402643324, 0.28063223269114745, -0.0062685842997630805, 0.04405348458494157, 0.10910058364883732, 0.20421355707682112, -0.018089793490440542, 0.18912005500951365, -0.1817335647438764, 0.17529055889028666, -0.0378935451118915] |
1,802.05535 | Point island dynamics under fixed rate deposition | In this paper we consider the dynamics of point islands during submonolayer
deposition, in which the fragmentation of subcritical size islands is allowed.
To understand asymptotics of solutions, we use methods of centre manifold
theory, and for globalisation, we employ results from the theories of
compartmental systems and of asymptotically autonomous dynamical systems. We
also compare our results with those obtained by making the quasi-steady state
assumption.
| math.CA | in this paper we consider the dynamics of point islands during submonolayer deposition in which the fragmentation of subcritical size islands is allowed to understand asymptotics of solutions we use methods of centre manifold theory and for globalisation we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems we also compare our results with those obtained by making the quasisteady state assumption | [['in', 'this', 'paper', 'we', 'consider', 'the', 'dynamics', 'of', 'point', 'islands', 'during', 'submonolayer', 'deposition', 'in', 'which', 'the', 'fragmentation', 'of', 'subcritical', 'size', 'islands', 'is', 'allowed', 'to', 'understand', 'asymptotics', 'of', 'solutions', 'we', 'use', 'methods', 'of', 'centre', 'manifold', 'theory', 'and', 'for', 'globalisation', 'we', 'employ', 'results', 'from', 'the', 'theories', 'of', 'compartmental', 'systems', 'and', 'of', 'asymptotically', 'autonomous', 'dynamical', 'systems', 'we', 'also', 'compare', 'our', 'results', 'with', 'those', 'obtained', 'by', 'making', 'the', 'quasisteady', 'state', 'assumption']] | [-0.10201788573428544, 0.0978131887238862, -0.118655466405091, 0.06265123839031404, 0.021591613708592174, -0.08166073321246667, 0.056309604767098356, 0.3335517113333318, -0.20377253255904165, -0.27067179791629314, 0.11856029152786776, -0.2689849247794543, -0.19024534100916848, 0.17827443746544086, -0.0475894362012397, 0.06776191944729036, 0.07609993932115387, -0.024527774956911358, -0.05243368280022891, -0.23784257719334936, 0.41402936895350134, 0.04183553180087413, 0.2761010173430194, -0.007182277155233853, 0.07829977649806151, -0.004540061952160505, 0.0174695606996764, 0.019096372037458776, -0.23542682305256377, 0.10292059045507392, 0.2214059290378841, 0.08670149891595565, 0.2383739882385108, -0.48794349952976207, -0.2204804275768684, 0.06151534996426372, 0.15977583020758718, 0.1556903950247997, -0.024667776919512163, -0.26440376181280545, 0.08686252464123292, -0.16439395995616024, -0.19530216111704263, -0.04965117202599102, -0.02219694433038804, 0.05193119357103732, -0.2618094042026952, 0.05391473460676663, 0.04862648654345131, 0.03753048482476108, -0.12018183588898226, -0.06411301050640976, -0.0285134556765821, 0.12378402472709987, 0.05851781930697998, -0.036754345465729484, 0.14461319240977738, -0.12741298408164128, -0.11934459689003762, 0.33574560390257124, -0.05594628580423371, -0.16567417809656307, 0.24030200410078265, -0.18217304772210877, -0.18250986250506632, 0.10475291744041354, 0.19892530910559555, 0.17052952770088145, -0.1307872783031259, 0.09942971564544392, 0.019975773785124298, 0.15544613049263065, 0.0537682429873454, -0.0266128670591027, 0.15261424986867986, 0.22155271214780523, 0.08128770639591698, 0.1479641672209906, -0.08131322917292144, -0.16992706834658314, -0.2487905628895804, -0.12362065349719417, -0.11816147717633355, 0.07702419890521733, -0.06528587330005882, -0.1451156861913293, 0.35839205659550627, 0.1973334010412444, 0.18855133130034404, 0.06964769610030049, 0.21385015359620996, 0.08860947195364079, 0.0009806169676524934, 0.08764724749654754, 0.22426613379937055, 0.12960961835333773, 0.12916000827507518, -0.19536788408894704, 0.031107848496245805, 0.06671348061245769] |
1,802.05536 | Graph Operator Modeling over Large Graph Datasets | As graph representations of data emerge in multiple domains, data analysts
need to be able to intelligently select among a magnitude of different data
graphs based on the effects different graph operators have on them. Exhaustive
execution of an operator over the bulk of available data sources is impractical
due to the massive resources it requires. Additionally, the same process would
have to be re-implemented whenever a different operator is considered. To
address this challenge, this work proposes an efficient graph operator modeling
methodology. Our novel approach focuses on the inputs themselves, utilizing
graph similarity to infer knowledge about input graphs. The modeled operator is
only executed for a small subset of the available graphs and its behavior is
approximated for the rest of the graphs using machine learning techniques. Our
method is operator-agnostic, as the same similarity information can be reused
for modeling multiple graph operators. We also propose a family of similarity
measures based on the degree distribution that prove capable of producing high
quality estimations, comparable or even surpassing other much more costly,
state-of-the-art similarity measures. Our evaluation over both real-world and
synthetic graphs indicates that our method achieves extremely accurate modeling
of many commonly encountered operators, managing massive speedups over a
brute-force alternative.
| cs.SI physics.soc-ph | as graph representations of data emerge in multiple domains data analysts need to be able to intelligently select among a magnitude of different data graphs based on the effects different graph operators have on them exhaustive execution of an operator over the bulk of available data sources is impractical due to the massive resources it requires additionally the same process would have to be reimplemented whenever a different operator is considered to address this challenge this work proposes an efficient graph operator modeling methodology our novel approach focuses on the inputs themselves utilizing graph similarity to infer knowledge about input graphs the modeled operator is only executed for a small subset of the available graphs and its behavior is approximated for the rest of the graphs using machine learning techniques our method is operatoragnostic as the same similarity information can be reused for modeling multiple graph operators we also propose a family of similarity measures based on the degree distribution that prove capable of producing high quality estimations comparable or even surpassing other much more costly stateoftheart similarity measures our evaluation over both realworld and synthetic graphs indicates that our method achieves extremely accurate modeling of many commonly encountered operators managing massive speedups over a bruteforce alternative | [['as', 'graph', 'representations', 'of', 'data', 'emerge', 'in', 'multiple', 'domains', 'data', 'analysts', 'need', 'to', 'be', 'able', 'to', 'intelligently', 'select', 'among', 'a', 'magnitude', 'of', 'different', 'data', 'graphs', 'based', 'on', 'the', 'effects', 'different', 'graph', 'operators', 'have', 'on', 'them', 'exhaustive', 'execution', 'of', 'an', 'operator', 'over', 'the', 'bulk', 'of', 'available', 'data', 'sources', 'is', 'impractical', 'due', 'to', 'the', 'massive', 'resources', 'it', 'requires', 'additionally', 'the', 'same', 'process', 'would', 'have', 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1,802.05537 | The Effect of $\alpha$-Vacua on the Scalar and Tensor Spectral Indices:
Slow-Roll Approximation | Since the duration of inflation is finite, imposing the initial condition in
infinite past, i.e. the Bunch-Davies vacuum, is inherently ambiguous. In this
paper, we resort to the mixed states as initial condition which are called the
$\alpha$-vacua and then introduce a physical momentum cutoff $\Lambda$
[Danielsson:2002kx], in which the evolution of perturbations begins. We show
that the initial time $t_i$, when the initial condition is imposed, depends on
the wave number of fluctuation, as it is for the time of horizon crossing,
$t_q$. Then we calculate the corrections to the scalar and tensor power spectra
and their corresponding spectral indices. Throughout this work, the calculation
is done up to the first order in slow-roll parameters. We indicate that the
leading order corrections to the spectral indices have a $q$-dependent
amplitude,
$2\epsilon_{f}[2\epsilon_{f}(\frac{q}{q_{f}})^{4\epsilon+4\eta}-\eta_{f}(\frac{q}{q_{f}})^{3\epsilon+\xi}]$
times a $q$-dependent oscillatory part,
$\cos(\frac{2\Lambda(q/q_{f})^{\epsilon}}{H_{f}})$, where $H$, $\epsilon$,
$\eta$, and $\xi$ are the Hubble and slow-roll parameters respectively, and the
subscript $f$ denotes that these quantities are evaluated at the time when the
first scale, $q_{f}$, satisfies the initial condition, i.e. $q=a(t_i)\Lambda$.
| gr-qc | since the duration of inflation is finite imposing the initial condition in infinite past ie the bunchdavies vacuum is inherently ambiguous in this paper we resort to the mixed states as initial condition which are called the alphavacua and then introduce a physical momentum cutoff lambda danielsson2002kx in which the evolution of perturbations begins we show that the initial time t_i when the initial condition is imposed depends on the wave number of fluctuation as it is for the time of horizon crossing t_q then we calculate the corrections to the scalar and tensor power spectra and their corresponding spectral indices throughout this work the calculation is done up to the first order in slowroll parameters we indicate that the leading order corrections to the spectral indices have a qdependent amplitude 2epsilon_f2epsilon_ffracqq_f4epsilon4etaeta_ffracqq_f3epsilonxi times a qdependent oscillatory part cosfrac2lambdaqq_fepsilonh_f where h epsilon eta and xi are the hubble and slowroll parameters respectively and the subscript f denotes that these quantities are evaluated at the time when the first scale q_f satisfies the initial condition ie qat_ilambda | [['since', 'the', 'duration', 'of', 'inflation', 'is', 'finite', 'imposing', 'the', 'initial', 'condition', 'in', 'infinite', 'past', 'ie', 'the', 'bunchdavies', 'vacuum', 'is', 'inherently', 'ambiguous', 'in', 'this', 'paper', 'we', 'resort', 'to', 'the', 'mixed', 'states', 'as', 'initial', 'condition', 'which', 'are', 'called', 'the', 'alphavacua', 'and', 'then', 'introduce', 'a', 'physical', 'momentum', 'cutoff', 'lambda', 'danielsson2002kx', 'in', 'which', 'the', 'evolution', 'of', 'perturbations', 'begins', 'we', 'show', 'that', 'the', 'initial', 'time', 't_i', 'when', 'the', 'initial', 'condition', 'is', 'imposed', 'depends', 'on', 'the', 'wave', 'number', 'of', 'fluctuation', 'as', 'it', 'is', 'for', 'the', 'time', 'of', 'horizon', 'crossing', 't_q', 'then', 'we', 'calculate', 'the', 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1,802.05538 | Singlet and triplet trions in WS$_2$ monolayer encapsulated in hexagonal
boron nitride | Embedding a WS$_2$ monolayer in flakes of hexagonal boron nitride allowed us
to resolve and study the photoluminescence response due to both singlet and
triplet states of negatively charged excitons (trions) in this atomically thin
semiconductor. The energy separation between the singlet and triplet states has
been found to be relatively small reflecting rather weak effects of the
electron-electron exchange interaction for the trion triplet in a WS$_2$
monolayer, which involves two electrons with the same spin but from different
valleys. Polarization-resolved experiments demonstrate that the helicity of the
excitation light is better preserved in the emission spectrum of the triplet
trion than in that of the singlet trion. Finally, the singlet (intravalley)
trions are found to be observable even at ambient conditions whereas the
emission due to the triplet (intervalley) trions is only efficient at low
temperatures.
| cond-mat.mes-hall | embedding a ws_2 monolayer in flakes of hexagonal boron nitride allowed us to resolve and study the photoluminescence response due to both singlet and triplet states of negatively charged excitons trions in this atomically thin semiconductor the energy separation between the singlet and triplet states has been found to be relatively small reflecting rather weak effects of the electronelectron exchange interaction for the trion triplet in a ws_2 monolayer which involves two electrons with the same spin but from different valleys polarizationresolved experiments demonstrate that the helicity of the excitation light is better preserved in the emission spectrum of the triplet trion than in that of the singlet trion finally the singlet intravalley trions are found to be observable even at ambient conditions whereas the emission due to the triplet intervalley trions is only efficient at low temperatures | [['embedding', 'a', 'ws_2', 'monolayer', 'in', 'flakes', 'of', 'hexagonal', 'boron', 'nitride', 'allowed', 'us', 'to', 'resolve', 'and', 'study', 'the', 'photoluminescence', 'response', 'due', 'to', 'both', 'singlet', 'and', 'triplet', 'states', 'of', 'negatively', 'charged', 'excitons', 'trions', 'in', 'this', 'atomically', 'thin', 'semiconductor', 'the', 'energy', 'separation', 'between', 'the', 'singlet', 'and', 'triplet', 'states', 'has', 'been', 'found', 'to', 'be', 'relatively', 'small', 'reflecting', 'rather', 'weak', 'effects', 'of', 'the', 'electronelectron', 'exchange', 'interaction', 'for', 'the', 'trion', 'triplet', 'in', 'a', 'ws_2', 'monolayer', 'which', 'involves', 'two', 'electrons', 'with', 'the', 'same', 'spin', 'but', 'from', 'different', 'valleys', 'polarizationresolved', 'experiments', 'demonstrate', 'that', 'the', 'helicity', 'of', 'the', 'excitation', 'light', 'is', 'better', 'preserved', 'in', 'the', 'emission', 'spectrum', 'of', 'the', 'triplet', 'trion', 'than', 'in', 'that', 'of', 'the', 'singlet', 'trion', 'finally', 'the', 'singlet', 'intravalley', 'trions', 'are', 'found', 'to', 'be', 'observable', 'even', 'at', 'ambient', 'conditions', 'whereas', 'the', 'emission', 'due', 'to', 'the', 'triplet', 'intervalley', 'trions', 'is', 'only', 'efficient', 'at', 'low', 'temperatures']] | [-0.10118068310607603, 0.24707765266488213, -0.014794539695646128, 0.11010416607672781, 0.023867533758174683, -0.21327940221416994, 0.049848079586914486, 0.47622750602338626, -0.23798188625200503, -0.2800857138927972, -0.07410711238069621, -0.321413340397935, -0.04472313050950027, 0.11083680514475681, 0.09546135315853778, -0.04815027748733975, 0.014413127258919396, -0.09549998591756921, -0.03843020782569774, -0.20393028956554507, 0.31635514823584887, 0.012918795809905598, 0.32668747370927664, 0.20374515847019528, 0.018132100475655086, -0.009276846911339764, 0.14182747109536675, -0.06765325418740943, -0.07854993566855926, 0.09562841502855113, 0.2575449697421088, -0.13445358080418268, 0.19901847558608954, -0.44441615307595633, -0.1674527413788778, 0.07159351359249727, 0.1697648944977698, 0.1812217630255306, -0.07615597662853374, -0.32531332329887414, 0.04827950118730465, -0.1076327189836867, -0.041010208657362324, -0.06246311127451127, -0.019417080164387607, -0.0764098364979609, -0.2627841511600401, 0.11499195053086926, 0.012411205589001916, -0.010147559692732233, -0.11829685900475075, -0.1200547924997501, -0.18594540189276787, 0.03583789604338075, 0.09836724917134405, -0.006691685211304845, 0.17936146182035081, -0.14671845144113066, -0.13212222625514952, 0.3629634701613121, -0.12069647085097487, -0.07713744972252111, 0.18449217832539286, -0.22734374708860464, -0.01890031599348573, 0.22436383904626025, 0.07972540443196245, 0.17064124575235706, -0.13552259017866902, 0.0802419490247975, -0.03442313916900236, 0.20068276231514587, 0.08171967028444498, 0.19282022498521037, 0.24417571153869663, 0.16132865893398074, 0.07336877988975334, 0.11872278778995994, -0.12859312585636, -0.05343347017660035, -0.17745758248476204, -0.19707500810761922, -0.20058615365322086, 0.11932531735805822, -0.024749090530309804, -0.16373325464572164, 0.462502174753446, 0.09186020560657093, 0.21565546513791534, -0.05075355770953836, 0.26469981773634965, 0.09592942097831679, 0.10437590905222231, -0.01770635174614364, 0.3021531680031963, 0.1924896082095127, 0.0790211062295661, -0.30353736243146623, 0.051317890996342874, -0.0711067973204173] |
1,802.05539 | Using mathematical modeling to ask meaningful biological questions
through combination of bifurcation analysis and population heterogeneity | Classical approaches to analyzing dynamical systems, including bifurcation
analysis, can provide invaluable insights into underlying structure of a
mathematical model, and the spectrum of all possible dynamical behaviors.
However, these models frequently fail to take into account population
heterogeneity, which, while critically important to understanding and
predicting the behavior of any evolving system, is a common simplification that
is made in analysis of many mathematical models of ecological systems. Attempts
to include population heterogeneity frequently result in expanding system
dimensionality, effectively preventing qualitative analysis. Reduction Theorem,
or Hidden keystone variable (HKV) method, allows incorporating population
heterogeneity while still permitting the use of previously existing classical
bifurcation analysis. A combination of these methods allows visualization of
evolutionary trajectories and making meaningful predictions about dynamics over
time of evolving populations. Here, we discuss three examples of combination of
these methods to augment understanding of evolving ecological systems. We
demonstrate what new meaningful questions can be asked through this approach,
and propose that the large existing literature of fully analyzed models can
reveal new and meaningful dynamical behaviors with the application of the
HKV-method, if the right questions are asked.
| q-bio.PE | classical approaches to analyzing dynamical systems including bifurcation analysis can provide invaluable insights into underlying structure of a mathematical model and the spectrum of all possible dynamical behaviors however these models frequently fail to take into account population heterogeneity which while critically important to understanding and predicting the behavior of any evolving system is a common simplification that is made in analysis of many mathematical models of ecological systems attempts to include population heterogeneity frequently result in expanding system dimensionality effectively preventing qualitative analysis reduction theorem or hidden keystone variable hkv method allows incorporating population heterogeneity while still permitting the use of previously existing classical bifurcation analysis a combination of these methods allows visualization of evolutionary trajectories and making meaningful predictions about dynamics over time of evolving populations here we discuss three examples of combination of these methods to augment understanding of evolving ecological systems we demonstrate what new meaningful questions can be asked through this approach and propose that the large existing literature of fully analyzed models can reveal new and meaningful dynamical behaviors with the application of the hkvmethod if the right questions are asked | [['classical', 'approaches', 'to', 'analyzing', 'dynamical', 'systems', 'including', 'bifurcation', 'analysis', 'can', 'provide', 'invaluable', 'insights', 'into', 'underlying', 'structure', 'of', 'a', 'mathematical', 'model', 'and', 'the', 'spectrum', 'of', 'all', 'possible', 'dynamical', 'behaviors', 'however', 'these', 'models', 'frequently', 'fail', 'to', 'take', 'into', 'account', 'population', 'heterogeneity', 'which', 'while', 'critically', 'important', 'to', 'understanding', 'and', 'predicting', 'the', 'behavior', 'of', 'any', 'evolving', 'system', 'is', 'a', 'common', 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1,802.0554 | No correction for the light propagation within the cube: comment on
"Relativistic theory of the falling retroreflector gravimeter" | Although the equation of motion developed in the paper (Ashby 2018 Metrologia
55 1) depends on the parameters of the falling cube, such as depth and
refraction index, the parameters are only associated with powers of time no
greater than one, and so do not affect the acceleration. The paper's correction
due to the light propagation within the cube is therefore not supported by the
equation of motion, and probably caused by omissions in data analysis. The
'speed of light' component of the acceleration that follows from the equation,
agrees with the results obtained by other authors.
| physics.ins-det | although the equation of motion developed in the paper ashby 2018 metrologia 55 1 depends on the parameters of the falling cube such as depth and refraction index the parameters are only associated with powers of time no greater than one and so do not affect the acceleration the papers correction due to the light propagation within the cube is therefore not supported by the equation of motion and probably caused by omissions in data analysis the speed of light component of the acceleration that follows from the equation agrees with the results obtained by other authors | [['although', 'the', 'equation', 'of', 'motion', 'developed', 'in', 'the', 'paper', 'ashby', '2018', 'metrologia', '55', '1', 'depends', 'on', 'the', 'parameters', 'of', 'the', 'falling', 'cube', 'such', 'as', 'depth', 'and', 'refraction', 'index', 'the', 'parameters', 'are', 'only', 'associated', 'with', 'powers', 'of', 'time', 'no', 'greater', 'than', 'one', 'and', 'so', 'do', 'not', 'affect', 'the', 'acceleration', 'the', 'papers', 'correction', 'due', 'to', 'the', 'light', 'propagation', 'within', 'the', 'cube', 'is', 'therefore', 'not', 'supported', 'by', 'the', 'equation', 'of', 'motion', 'and', 'probably', 'caused', 'by', 'omissions', 'in', 'data', 'analysis', 'the', 'speed', 'of', 'light', 'component', 'of', 'the', 'acceleration', 'that', 'follows', 'from', 'the', 'equation', 'agrees', 'with', 'the', 'results', 'obtained', 'by', 'other', 'authors']] | [-0.0801310058318309, 0.12607227540670982, -0.06667305687538434, -0.0004703696449911318, -0.07948260136985595, -0.08473910411493372, 0.014082670068973195, 0.33014786592924716, -0.25138372038827117, -0.34330225298085165, 0.12250359671084766, -0.3053149720557879, -0.10035478342900571, 0.24572491629130794, -0.07347668075367578, 0.011812119370268792, 0.055559572912560605, 0.0540743886406735, -0.02657992126583362, -0.21220660086279525, 0.3187139657441258, 0.08531663378883038, 0.2303322254459268, 0.048318469234425385, 0.09783002331531271, -0.002176067316616626, -0.09635567908492132, 0.03294335398823023, -0.10912699544042909, 0.0916668665643359, 0.12687937475587288, 0.10528464336428292, 0.23088225110712432, -0.4027464399402289, -0.23701403111449837, 0.06364143544750422, 0.13497215435965007, 0.06262188086516618, -0.025140070204008564, -0.26231628336185187, 0.05354200375083949, -0.12237522184618355, -0.17137128110379748, 0.027713900518401998, 0.05271067239881791, 0.061081791210189924, -0.19616332554652058, 0.12536767100166415, 0.08154151929283188, 0.038395788938229536, -0.08267763359040099, -0.12452130467563714, -0.030203729963947816, 0.09670953703780188, 0.08647431178047255, 0.05536301433079943, 0.10084807840607983, -0.128386567903625, -0.08964934628264806, 0.4370796653950952, -0.08383824734197877, -0.18399772301469883, 0.1443335344683686, -0.1667576033664632, -0.07333096940569657, 0.1565654320815175, 0.13779051045013457, 0.09000926926136785, -0.10543562131021748, 0.059414214347177134, 0.007458578252723229, 0.20999305222913162, 0.10186031857054181, -0.005880193526798994, 0.1496626752303894, 0.10138698583996865, 0.011570032986034592, 0.05868705336938219, -0.09577501700415765, -0.07396414688909571, -0.308015740342131, -0.1373493079499332, -0.19680460017251292, 0.02566966802972734, -0.0725758874390728, -0.11722964494364317, 0.38463533293340624, 0.1666472807104133, 0.2005133912754581, 0.009615626018110317, 0.3022863704749604, 0.15110935770652076, 0.08276235505208834, 0.12265691664741979, 0.28271789478195697, 0.10150730853525865, 0.10199907596328671, -0.20616575995503358, 0.10011753417820353, 0.047274429778347615] |
1,802.05541 | Novel weak form quadrature elements for non-classical higher order beam
and plate theories | Based on Lagrange and Hermite interpolation two novel versions of weak form
quadrature element are proposed for a non-classical Euler-Bernoulli beam
theory. By extending these concept two new plate elements are formulated using
Lagrange-Lagrange and mixed Lagrange-Hermite interpolations for a non-classical
Kirchhoff plate theory. The non-classical theories are governed by sixth order
partial differential equation and have deflection, slope and curvature as de-
grees of freedom. A novel and generalize way is proposed herein to implement
these degrees of freedom in a simple and efficient manner. A new procedure to
compute the modified weighting coefficient matri- ces for beam and plate
elements is presented. The proposed elements have displacement as the only
degree of freedom in the element do- main and displacement, slope and curvature
at the boundaries. The Gauss-Lobatto-Legender quadrature points are considered
as element nodes and also used for numerical integration of the element
matrices. The framework for computing the stiffness matrices at the integra-
tion points is analogous to the conventional finite element method. Numerical
examples on free vibration analysis of gradient beams and plates are presented
to demonstrate the efficiency and accuracy of the proposed elements.
| cs.CE | based on lagrange and hermite interpolation two novel versions of weak form quadrature element are proposed for a nonclassical eulerbernoulli beam theory by extending these concept two new plate elements are formulated using lagrangelagrange and mixed lagrangehermite interpolations for a nonclassical kirchhoff plate theory the nonclassical theories are governed by sixth order partial differential equation and have deflection slope and curvature as de grees of freedom a novel and generalize way is proposed herein to implement these degrees of freedom in a simple and efficient manner a new procedure to compute the modified weighting coefficient matri ces for beam and plate elements is presented the proposed elements have displacement as the only degree of freedom in the element do main and displacement slope and curvature at the boundaries the gausslobattolegender quadrature points are considered as element nodes and also used for numerical integration of the element matrices the framework for computing the stiffness matrices at the integra tion points is analogous to the conventional finite element method numerical examples on free vibration analysis of gradient beams and plates are presented to demonstrate the efficiency and accuracy of the proposed elements | [['based', 'on', 'lagrange', 'and', 'hermite', 'interpolation', 'two', 'novel', 'versions', 'of', 'weak', 'form', 'quadrature', 'element', 'are', 'proposed', 'for', 'a', 'nonclassical', 'eulerbernoulli', 'beam', 'theory', 'by', 'extending', 'these', 'concept', 'two', 'new', 'plate', 'elements', 'are', 'formulated', 'using', 'lagrangelagrange', 'and', 'mixed', 'lagrangehermite', 'interpolations', 'for', 'a', 'nonclassical', 'kirchhoff', 'plate', 'theory', 'the', 'nonclassical', 'theories', 'are', 'governed', 'by', 'sixth', 'order', 'partial', 'differential', 'equation', 'and', 'have', 'deflection', 'slope', 'and', 'curvature', 'as', 'de', 'grees', 'of', 'freedom', 'a', 'novel', 'and', 'generalize', 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'beams', 'and', 'plates', 'are', 'presented', 'to', 'demonstrate', 'the', 'efficiency', 'and', 'accuracy', 'of', 'the', 'proposed', 'elements']] | [-0.11250936894855917, 0.09372815093956888, -0.08454948599187737, 0.01107220592886269, -0.0750902683394862, -0.1400016659073175, -0.0035907970023083876, 0.36876794310445166, -0.271484601616047, -0.2659841633718857, 0.09716022675584486, -0.2737211284544715, -0.1385902008438047, 0.19308299578273014, -0.0701336918170861, 0.1114019655555665, 0.03690489552087804, -0.007982087884963046, -0.07266730587047703, -0.1960003361393242, 0.3209891226712337, 0.032993122692556776, 0.29067675916953606, 0.01225177130904643, 0.16453107862554966, -0.000903771697305777, -0.02712724420834615, 0.03622302030302346, -0.09792475511587442, 0.14180135854985565, 0.23130253250487742, 0.04907311444626527, 0.2301258948492877, -0.39992316698833824, -0.20976149966504345, 0.04829431630044363, 0.11094991180722533, 0.09564269206887904, -0.06880957778512892, -0.2517736060297156, 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1,802.05542 | Repdigits in Euler functions of Pell and associated pell numbers | A natural number $n$ is called a repdigit if all its digits are same. In this
paper, we prove that Euler totient function of no Pell number is a repdigit
with at least two digits. This study is also extended to certain subclass of
associated Pell numbers.
| math.NT | a natural number n is called a repdigit if all its digits are same in this paper we prove that euler totient function of no pell number is a repdigit with at least two digits this study is also extended to certain subclass of associated pell numbers | [['a', 'natural', 'number', 'n', 'is', 'called', 'a', 'repdigit', 'if', 'all', 'its', 'digits', 'are', 'same', 'in', 'this', 'paper', 'we', 'prove', 'that', 'euler', 'totient', 'function', 'of', 'no', 'pell', 'number', 'is', 'a', 'repdigit', 'with', 'at', 'least', 'two', 'digits', 'this', 'study', 'is', 'also', 'extended', 'to', 'certain', 'subclass', 'of', 'associated', 'pell', 'numbers']] | [-0.25769089774952997, 0.1502209186553955, -0.06362852045438355, 0.1054100585816842, -0.10523956915777591, -0.111771661001775, -0.03021586547450473, 0.30061776174439325, -0.30280181558595765, -0.2643106698989868, 0.06640668560802522, -0.32342411688942874, -0.20361611371756427, 0.20558899227115843, -0.09106062153975168, -0.0075594352985111374, 0.04639923671881358, 0.17113159944613773, -0.01742036083402733, -0.30698811072442267, 0.3180213329382241, -0.09158573613709045, 0.13511594658614032, -0.000354657301472293, 0.12138680521812704, -0.07164248902764585, 0.046424077678885727, 0.03850564451681243, -0.08445460010504273, 0.060319895597381726, 0.24523373962276512, 0.1261815617637088, 0.35845975432958865, -0.3229825789315833, -0.10099458727571699, 0.23358879225949447, 0.16261631499768958, 0.03312448358370198, -0.02528611415893667, -0.12251749109062883, 0.2113223265649544, -0.18417086907558972, -0.14341679358234008, -0.021880493954651886, 0.10158218774530622, 0.09706493799781633, -0.25131488972757426, -0.011318068791620641, 0.07536740249229802, 0.08315651865883006, 0.04871211000200775, -0.19387971388383043, 0.008962551328457065, 0.06310926196682784, 0.06074179558393856, 0.041667287460424834, -0.038299258653488426, -0.13855629595410493, -0.09203788829553458, 0.3838822427723143, -0.004564876813027594, -0.2754476108484798, 0.12910288644747603, -0.17142311967521284, -0.22351032989099623, 0.15604966298883988, 0.11276221631301774, 0.15812889639702107, -0.08262143722838826, 0.06459996762375037, -0.20448026052779622, 0.1867719263252285, 0.18866766975778673, 0.018584588333033024, 0.1341373781984051, 0.0961384889152315, 0.03708308432251215, 0.19734466027778882, -0.05531233851409827, -0.03873565669895874, -0.35414221353001063, -0.2530827590548951, -0.23117297621081687, 0.10687081695327329, -0.06617014335675372, -0.20850822172231145, 0.3701966106891632, 0.09242059044126007, 0.22908372340930833, 0.19776221575836342, 0.24656060421839357, 0.14553716593525476, 0.00471912861491243, 0.07731177828585108, 0.054159170885880785, 0.11977438353933394, 0.02300001974734995, -0.15420319188593162, 0.031179013889696863, 0.16659046554317078] |
1,802.05543 | On the Radar detection of high-energy neutrino-induced cascades in ice;
From Radar scattering cross-section to sensitivity | In recent works we discussed the feasibility of the radar detection technique
as a new method to probe high-energy cosmic-neutrino induced plasmas in ice.
Using the different properties of the induced ionization plasma, an energy
threshold of several PeV was derived for the over-dense scattering of a radio
wave off the plasma. Next to this energy threshold the radar return power was
determined for the different constituents of the plasma. It followed that the
return signal should be detectable at a distance of several hundreds of meters
to a few kilometers, depending on the plasma constituents and considered
geometry. In this article we describe a more detailed modeling of the
scattering process by expanding our model to include the full shower geometry,
as well as the reflection off the under-dense plasma region. We include
skin-effects, as well as the angular dependence of the scattered signal. As a
first application of this more detailed modeling approach, we provide the
effective area and sensitivity for a simplified detector setup. It follows
that, depending on the detailed plasma properties, the radar detection
technique provides a very promising method for the detection of neutrino
induced particle cascades at energies above several PeV. Nevertheless, to
determine the feasibility of the method more detailed information about the
plasma properties, especially its lifetime and the free charge collision rate,
are needed.
| astro-ph.HE | in recent works we discussed the feasibility of the radar detection technique as a new method to probe highenergy cosmicneutrino induced plasmas in ice using the different properties of the induced ionization plasma an energy threshold of several pev was derived for the overdense scattering of a radio wave off the plasma next to this energy threshold the radar return power was determined for the different constituents of the plasma it followed that the return signal should be detectable at a distance of several hundreds of meters to a few kilometers depending on the plasma constituents and considered geometry in this article we describe a more detailed modeling of the scattering process by expanding our model to include the full shower geometry as well as the reflection off the underdense plasma region we include skineffects as well as the angular dependence of the scattered signal as a first application of this more detailed modeling approach we provide the effective area and sensitivity for a simplified detector setup it follows that depending on the detailed plasma properties the radar detection technique provides a very promising method for the detection of neutrino induced particle cascades at energies above several pev nevertheless to determine the feasibility of the method more detailed information about the plasma properties especially its lifetime and the free charge collision rate are needed | [['in', 'recent', 'works', 'we', 'discussed', 'the', 'feasibility', 'of', 'the', 'radar', 'detection', 'technique', 'as', 'a', 'new', 'method', 'to', 'probe', 'highenergy', 'cosmicneutrino', 'induced', 'plasmas', 'in', 'ice', 'using', 'the', 'different', 'properties', 'of', 'the', 'induced', 'ionization', 'plasma', 'an', 'energy', 'threshold', 'of', 'several', 'pev', 'was', 'derived', 'for', 'the', 'overdense', 'scattering', 'of', 'a', 'radio', 'wave', 'off', 'the', 'plasma', 'next', 'to', 'this', 'energy', 'threshold', 'the', 'radar', 'return', 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1,802.05544 | Integration in terms of exponential integrals and incomplete gamma
functions I | This paper provides a Liouville principle for integration in terms of
exponential integrals and incomplete gamma functions.
| math.NT cs.SC | this paper provides a liouville principle for integration in terms of exponential integrals and incomplete gamma functions | [['this', 'paper', 'provides', 'a', 'liouville', 'principle', 'for', 'integration', 'in', 'terms', 'of', 'exponential', 'integrals', 'and', 'incomplete', 'gamma', 'functions']] | [-0.1537104942561949, 0.055458631695193404, -0.1444182749837637, 0.1442647568319979, -0.08850715824348085, -0.034092612948049515, 0.08591995035599478, 0.2781461459748885, -0.2647342098986401, -0.20045261830091476, 0.07871225105790312, -0.2113326895324623, -0.19642373985227415, 0.2352122848524767, -0.07624067524995874, 0.09534153944867499, 0.133531374966397, -0.03718282402876545, -0.1353427154587253, -0.2110868984942927, 0.34194188017178984, 0.00015104671611505395, 0.18723494263694568, 0.09859869147048277, 0.18980870401377187, 0.08497608392773305, -0.09132440867559875, -0.04373195635921815, -0.16632835057509296, 0.256576103870483, 0.28705453149536075, 0.08807754746693022, 0.27683334907188134, -0.38920239534448176, -0.1953545686624506, 0.1353197605623042, 0.19705573239308946, -0.014195321894743863, 0.0005547671085771392, -0.21370764339671416, 0.0074252268737729854, -0.18474536169977748, -0.22500789998208776, -0.10325761248960215, 0.05752789911211414, 0.04852532765225453, -0.34195535805295496, 0.1657589855877792, 0.08854336477816105, 0.064163074198672, -0.04078962555949522, -0.07587102274684344, 0.14001485636896072, 0.06186549570959281, 0.048559329746400606, 0.07891354841344497, 0.030420296332415414, -0.06106993916225346, -0.17730654776096344, 0.33904461359933896, -0.09029629117781844, -0.32535457041333704, 0.09000598638565005, -0.14570246362949119, -0.17518852563465342, 0.12452292075271115, 0.10724538542768534, 0.12872086399618318, -0.2307467904927976, 0.22778597512104384, 0.05189640157143859, 0.03896625066066489, 0.12225379164823715, 0.0759439674918266, 0.10987580145764, 0.07854600283591186, 0.08724573314847316, 0.1832168160335106, 0.008379394708968261, -0.129027832628173, -0.45395468613680673, -0.2688906847992364, -0.13968587842057734, 0.13889671555336783, -0.1508495501946206, -0.2774212816182305, 0.37247877107823596, 0.01223056237487232, 0.10040665943832959, 0.17192398922463112, 0.253349411794368, 0.232095024712822, 0.0072221382356741845, -0.016927240558930755, 0.12208491941804395, 0.14441376990255186, 0.11164517539060291, -0.11929419362807975, 0.05782689962207394, 0.14603713960112893] |
1,802.05545 | Constraining screened fifth forces with the electron magnetic moment | Chameleon and symmetron theories serve as archetypal models for how light
scalar fields can couple to matter with gravitational strength or greater, yet
evade the stringent constraints from classical tests of gravity on Earth and in
the Solar System. In this work, we investigate how a precision measurement of
the electron magnetic moment places meaningful constraints on both chameleons
and symmetrons. Two effects are identified: First, virtual chameleons and
symmetrons run in loops to generate quantum corrections to the intrinsic value
of the magnetic moment; a common process widely considered in the literature
for many scenarios beyond the Standard Model. A second effect, however, is
unique to scalar fields that exhibit screening. A scalar bubblelike profile
forms inside the experimental vacuum chamber and exerts a fifth force on the
electron, leading to a systematic shift in the experimental measurement. In
quantifying this latter effect, we present a novel approach that combines
analytic arguments and a small number of numerical simulations to solve for the
bubblelike profile quickly for a large range of model parameters. Taken
together, both effects yield interesting constraints in complementary regions
of parameter space. While the constraints we obtain for the chameleon are
largely uncompetitive with those in the existing literature, this still
represents the tightest constraint achievable yet from an experiment not
originally designed to search for fifth forces. We break more ground with the
symmetron, for which our results exclude a large and previously unexplored
region of parameter space. Central to this achievement are the quantum
correction terms, which are able to constrain symmetrons with masses in the
range $\mu \in [10^{-3.88},10^8]\,\text{eV}$, whereas other experiments have
hitherto only been sensitive to 1 or 2 orders of magnitude at a time.
| hep-ph astro-ph.CO physics.atom-ph | chameleon and symmetron theories serve as archetypal models for how light scalar fields can couple to matter with gravitational strength or greater yet evade the stringent constraints from classical tests of gravity on earth and in the solar system in this work we investigate how a precision measurement of the electron magnetic moment places meaningful constraints on both chameleons and symmetrons two effects are identified first virtual chameleons and symmetrons run in loops to generate quantum corrections to the intrinsic value of the magnetic moment a common process widely considered in the literature for many scenarios beyond the standard model a second effect however is unique to scalar fields that exhibit screening a scalar bubblelike profile forms inside the experimental vacuum chamber and exerts a fifth force on the electron leading to a systematic shift in the experimental measurement in quantifying this latter effect we present a novel approach that combines analytic arguments and a small number of numerical simulations to solve for the bubblelike profile quickly for a large range of model parameters taken together both effects yield interesting constraints in complementary regions of parameter space while the constraints we obtain for the chameleon are largely uncompetitive with those in the existing literature this still represents the tightest constraint achievable yet from an experiment not originally designed to search for fifth forces we break more ground with the symmetron for which our results exclude a large and previously unexplored region of parameter space central to this achievement are the quantum correction terms which are able to constrain symmetrons with masses in the range mu in 10388108textev whereas other experiments have hitherto only been sensitive to 1 or 2 orders of magnitude at a time | [['chameleon', 'and', 'symmetron', 'theories', 'serve', 'as', 'archetypal', 'models', 'for', 'how', 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1,802.05546 | A viable laser driver for a user plasma accelerator | The construction of a novel user facility employing laser-driven plasma
acceleration with superior beam quality will require an industrial grade, high
repetition rate petawatt laser driver which is beyond existing technology.
However, with the ongoing fast development of chirped pulse amplification and
high average power laser technology, options can be identified depending on the
envisioned laser-plasma acceleration scheme and on the time scale for
construction. Here we discuss laser requirements for the EuPRAXIA
infrastructure design and identify a suitable laser concepts that is likely to
fulfil such requirements with a moderate development of existing technologies.
| physics.acc-ph physics.ins-det | the construction of a novel user facility employing laserdriven plasma acceleration with superior beam quality will require an industrial grade high repetition rate petawatt laser driver which is beyond existing technology however with the ongoing fast development of chirped pulse amplification and high average power laser technology options can be identified depending on the envisioned laserplasma acceleration scheme and on the time scale for construction here we discuss laser requirements for the eupraxia infrastructure design and identify a suitable laser concepts that is likely to fulfil such requirements with a moderate development of existing technologies | [['the', 'construction', 'of', 'a', 'novel', 'user', 'facility', 'employing', 'laserdriven', 'plasma', 'acceleration', 'with', 'superior', 'beam', 'quality', 'will', 'require', 'an', 'industrial', 'grade', 'high', 'repetition', 'rate', 'petawatt', 'laser', 'driver', 'which', 'is', 'beyond', 'existing', 'technology', 'however', 'with', 'the', 'ongoing', 'fast', 'development', 'of', 'chirped', 'pulse', 'amplification', 'and', 'high', 'average', 'power', 'laser', 'technology', 'options', 'can', 'be', 'identified', 'depending', 'on', 'the', 'envisioned', 'laserplasma', 'acceleration', 'scheme', 'and', 'on', 'the', 'time', 'scale', 'for', 'construction', 'here', 'we', 'discuss', 'laser', 'requirements', 'for', 'the', 'eupraxia', 'infrastructure', 'design', 'and', 'identify', 'a', 'suitable', 'laser', 'concepts', 'that', 'is', 'likely', 'to', 'fulfil', 'such', 'requirements', 'with', 'a', 'moderate', 'development', 'of', 'existing', 'technologies']] | [-0.1137167783576603, 0.16162058680799274, -0.03541329900096906, 0.0035130932118351524, -0.08220262495114615, -0.21108952143817747, -0.002589364893930523, 0.460854743303437, -0.22411825844135724, -0.32767462261621594, 0.11085699343392136, -0.18013369742241736, -0.029144584137554233, 0.32504185951854053, -0.08218800049569262, 0.08427056954487373, 0.06900206509683478, -0.05706577822566032, -0.013857910269871354, -0.2013211589306593, 0.23691781345558793, 0.2057434443776545, 0.4023906005301366, 0.06942499794654156, 0.14953115929506328, -0.03296754913049211, -0.012386883290386513, -0.09912646069730582, -0.105344158557694, 0.11948690951899871, 0.30188715179499825, 0.17725664156973117, 0.351238628819977, -0.4713452810127484, -0.22585205641072734, 0.0005136215469591614, 0.09182662863872554, 0.07778215150373351, -0.14310373596013767, -0.2411961310592137, 0.05116427849586073, -0.22239772535272334, -0.17186339437275341, -0.03670852036264382, -0.03878459004979384, 0.14608456515829618, -0.320118493596582, -0.08032952831371834, -0.019798492311843132, 0.04573209495528748, 0.009746586712763497, -0.03698314578321419, 0.07181541523160903, 0.033659855830238054, -0.0034810964024233585, 0.07298327406353661, 0.21883617114079626, -0.15606563095199436, -0.14939146005597553, 0.3933706800992552, -0.04825937365132727, -0.09394453699749551, 0.19828894471651629, -0.1450003118989499, -0.09771803236125332, 0.14996250604867542, 0.19069689593866077, 0.07686001231011591, -0.11671641617033042, 0.002492521877866238, 0.11367707372226409, 0.21518499511784236, 0.128357184420977, 0.10448024179786444, 0.2045998414880351, 0.2791586594460042, 0.10482867820752098, 0.07873815207766663, -0.09148406440784272, -0.011653719067965683, -0.2887626444896389, -0.12488316445133502, -0.1312960461419272, 0.045212455883033964, -0.03135939312464631, -0.0882744491492447, 0.38125362104968336, 0.17901500764940131, 0.009760570771207936, -0.032882763392684096, 0.37335224602567524, 0.10833274133895573, 0.08175444843149499, 0.03994875064021663, 0.21841792366222332, 0.022542957196894444, 0.16801900500921826, -0.20994480061099718, 0.0516443161931085, 0.007071541097799414] |
1,802.05547 | Dynamics of small solutions in KdV type equations: decay inside the
linearly dominated region | In this paper we prove that all small, uniformly in time $L^1\cap H^1$
bounded solutions to KdV and related perturbations must converge to zero, as
time goes to infinity, locally in an increasing-in-time region of space of
order $t^{1/2}$ around any compact set in space. This set is included in the
linearly dominated dispersive region $x\ll t$. Moreover, we prove this result
independently of the well-known supercritical character of KdV scattering. In
particular, no standing breather-like nor solitary wave structures exists in
this particular regime. For the proof, we make use of well-chosen weighted
virial identities. The main new idea employed here with respect to previous
results is the fact that the $L^1$ integral is subcritical with respect to the
KdV scaling.
| math.AP math-ph math.MP nlin.SI | in this paper we prove that all small uniformly in time l1cap h1 bounded solutions to kdv and related perturbations must converge to zero as time goes to infinity locally in an increasingintime region of space of order t12 around any compact set in space this set is included in the linearly dominated dispersive region xll t moreover we prove this result independently of the wellknown supercritical character of kdv scattering in particular no standing breatherlike nor solitary wave structures exists in this particular regime for the proof we make use of wellchosen weighted virial identities the main new idea employed here with respect to previous results is the fact that the l1 integral is subcritical with respect to the kdv scaling | [['in', 'this', 'paper', 'we', 'prove', 'that', 'all', 'small', 'uniformly', 'in', 'time', 'l1cap', 'h1', 'bounded', 'solutions', 'to', 'kdv', 'and', 'related', 'perturbations', 'must', 'converge', 'to', 'zero', 'as', 'time', 'goes', 'to', 'infinity', 'locally', 'in', 'an', 'increasingintime', 'region', 'of', 'space', 'of', 'order', 't12', 'around', 'any', 'compact', 'set', 'in', 'space', 'this', 'set', 'is', 'included', 'in', 'the', 'linearly', 'dominated', 'dispersive', 'region', 'xll', 't', 'moreover', 'we', 'prove', 'this', 'result', 'independently', 'of', 'the', 'wellknown', 'supercritical', 'character', 'of', 'kdv', 'scattering', 'in', 'particular', 'no', 'standing', 'breatherlike', 'nor', 'solitary', 'wave', 'structures', 'exists', 'in', 'this', 'particular', 'regime', 'for', 'the', 'proof', 'we', 'make', 'use', 'of', 'wellchosen', 'weighted', 'virial', 'identities', 'the', 'main', 'new', 'idea', 'employed', 'here', 'with', 'respect', 'to', 'previous', 'results', 'is', 'the', 'fact', 'that', 'the', 'l1', 'integral', 'is', 'subcritical', 'with', 'respect', 'to', 'the', 'kdv', 'scaling']] | [-0.1511123329477985, 0.14141398211202705, -0.06851524759030109, 0.05974192859908981, -0.08786374420381712, -0.08894423039799387, 0.0003033275610174645, 0.3334475977746539, -0.30486161494242753, -0.182353637282244, 0.1188819383642413, -0.2867747205040179, -0.12540041048210576, 0.17273641341512114, -0.06015534956856777, 0.06043296738350687, 0.0379909213386045, 0.05654347746840809, -0.04055297216939286, -0.24500637878625353, 0.3858276717480241, -0.013424076176487094, 0.21843784633054097, 0.022416453916302398, 0.07793515675156647, -0.025087602733834532, -0.007414530470105242, 0.0007150766025066437, -0.18029777938175334, 0.05431423879667255, 0.25424890278986256, 0.05150292506287536, 0.2863797453262897, -0.3998626372507535, -0.18285885991236148, 0.14934474874041542, 0.20909688880567032, 0.10296480293762832, -0.012654906131080852, -0.2589235204110338, 0.1279793042104599, -0.11424330403173942, -0.24116173057916981, -0.05952555520560069, 0.048179032669733626, 0.06905815081886393, -0.24831361541416774, 0.08996737068365059, 0.11004253176679789, -0.0493358765644106, -0.11172464092008093, -0.05956776699143623, -0.01927511657257218, 0.07446463077814003, 0.09032321197350225, 0.09155093303165776, 0.02348200540820306, -0.06763428507934609, -0.050259176468282304, 0.34396792878204385, -0.11363902758549098, -0.20939803606838234, 0.20457403236338176, -0.20959288875710927, -0.14721006089205707, 0.13631293997707322, 0.1303465604543501, 0.14377842734236856, -0.08736022093433364, 0.1366647598030592, -0.07310076962474807, 0.1912855636636334, 0.1454035281396109, 0.032744807209473197, 0.08095677139252917, 0.13015094709636504, 0.1509531764929329, 0.13017024024974647, -0.032326330950345136, -0.09387294963494805, -0.37850071237641886, -0.12142625426842778, -0.18061029126632897, 0.05280405799663445, -0.0912432516038693, -0.18678914205255834, 0.3162824961276001, 0.12932196012236302, 0.2015517150813883, 0.11053545100321947, 0.22693245479940968, 0.16352517989753698, 0.029516964007846334, 0.11455249017843407, 0.22244345811041735, 0.1394270512406245, 0.1366318465934004, -0.18609184804487944, -0.00818454679332612, 0.11267029436356638] |
1,802.05548 | Damping's effect on the magnetodynamics of spin Hall nano-oscillators | We study the impact of spin wave damping ($\alpha$) on the auto-oscillation
properties of nano-constriction based spin Hall nano-oscillators (SHNOs). The
SHNOs are based on a 5 nm Pt layer interfaced to a 5 nm
Py$_{100-x-y}$Pt$_{x}$Ag$_{y}$ magnetic layer, where the Pt and Ag contents are
co-varied to keep the saturation magnetization constant (within 10 %), while
$\alpha$ varies close to a factor of three. We systematically investigate the
influence of the Gilbert damping on the magnetodynamics of these SHNOs by means
of electrical microwave measurements. Under the condition of a constant field,
the threshold current scales with the damping in the magnetic layer. The
threshold current as a function of field shows a parabolic-like behavior, which
we attribute to the evolution of the spatial profile of the auto-oscillation
mode. The signal linewidth is smaller for the high-damping materials in low
magnetic fields, although the lowest observed linewidth was measured for the
alloy with least damping.
| cond-mat.mes-hall | we study the impact of spin wave damping alpha on the autooscillation properties of nanoconstriction based spin hall nanooscillators shnos the shnos are based on a 5 nm pt layer interfaced to a 5 nm py_100xypt_xag_y magnetic layer where the pt and ag contents are covaried to keep the saturation magnetization constant within 10 while alpha varies close to a factor of three we systematically investigate the influence of the gilbert damping on the magnetodynamics of these shnos by means of electrical microwave measurements under the condition of a constant field the threshold current scales with the damping in the magnetic layer the threshold current as a function of field shows a paraboliclike behavior which we attribute to the evolution of the spatial profile of the autooscillation mode the signal linewidth is smaller for the highdamping materials in low magnetic fields although the lowest observed linewidth was measured for the alloy with least damping | [['we', 'study', 'the', 'impact', 'of', 'spin', 'wave', 'damping', 'alpha', 'on', 'the', 'autooscillation', 'properties', 'of', 'nanoconstriction', 'based', 'spin', 'hall', 'nanooscillators', 'shnos', 'the', 'shnos', 'are', 'based', 'on', 'a', '5', 'nm', 'pt', 'layer', 'interfaced', 'to', 'a', '5', 'nm', 'py_100xypt_xag_y', 'magnetic', 'layer', 'where', 'the', 'pt', 'and', 'ag', 'contents', 'are', 'covaried', 'to', 'keep', 'the', 'saturation', 'magnetization', 'constant', 'within', '10', 'while', 'alpha', 'varies', 'close', 'to', 'a', 'factor', 'of', 'three', 'we', 'systematically', 'investigate', 'the', 'influence', 'of', 'the', 'gilbert', 'damping', 'on', 'the', 'magnetodynamics', 'of', 'these', 'shnos', 'by', 'means', 'of', 'electrical', 'microwave', 'measurements', 'under', 'the', 'condition', 'of', 'a', 'constant', 'field', 'the', 'threshold', 'current', 'scales', 'with', 'the', 'damping', 'in', 'the', 'magnetic', 'layer', 'the', 'threshold', 'current', 'as', 'a', 'function', 'of', 'field', 'shows', 'a', 'paraboliclike', 'behavior', 'which', 'we', 'attribute', 'to', 'the', 'evolution', 'of', 'the', 'spatial', 'profile', 'of', 'the', 'autooscillation', 'mode', 'the', 'signal', 'linewidth', 'is', 'smaller', 'for', 'the', 'highdamping', 'materials', 'in', 'low', 'magnetic', 'fields', 'although', 'the', 'lowest', 'observed', 'linewidth', 'was', 'measured', 'for', 'the', 'alloy', 'with', 'least', 'damping']] | [-0.17483514420765509, 0.1862262073401852, -0.011954791157653457, -0.01837752382868386, -0.04098655724757057, -0.09174626770943992, 0.028522196204377043, 0.36824231044585376, -0.2550032600166129, -0.32178465011039453, 0.06068382926260758, -0.2722544616676475, -0.07973468456858475, 0.19791197672633357, 0.06549567257599465, 0.033717064804621166, -0.06093448158476109, 0.043751235502943596, -0.06321563495944965, -0.1659685835398513, 0.31036344253133347, 0.07227396923056069, 0.3082357017372392, 0.06614512440520277, 0.09180092023330201, -0.03163008630508557, 0.07017685498699154, 0.024234241668110418, -0.15958346133610526, 0.02945444119885858, 0.15916075821855644, -0.04997842531347966, 0.22387189574778618, -0.42194173716645883, -0.19482103671333262, -0.02087432230320318, 0.09628311257907435, 0.10911132720081552, -0.014708504067752265, -0.2189495365907389, 0.10524241890035275, -0.12976658495915072, -0.10907761098535143, 0.009763859428379587, 0.025034664466817815, 0.01764859125825368, -0.29121360419269066, 0.09565475924357184, 0.07813157639113917, 0.10203573495872613, -0.07692054510564623, -0.14074538063294695, -0.06587265957817803, 0.0714746062999199, 0.04412499280174655, 0.04377718656905927, 0.20286369148494773, -0.14978986151369386, -0.09128457048331927, 0.32042890622611403, -0.12059045359369759, -0.13486127198159106, 0.1200857815393216, -0.2176860694154656, -0.03303046354803404, 0.14632225990307665, 0.1583679297534553, 0.10187739685275837, -0.09712556159540423, 0.05556647549823729, 0.04023878170052118, 0.23354442220328278, 0.07878307194761491, 0.053445500880786166, 0.18353752859586261, 0.19898208675333176, 0.025483062669656265, 0.1467487710952379, -0.15599600629847324, -0.019252738575328533, -0.22112302862622432, -0.13661722364198986, -0.16981451175429116, 0.08424100391044033, -0.09039184572640424, -0.1646362115555492, 0.43155888643875523, 0.1529763125642938, 0.21003628436377958, -0.005774992693515837, 0.2694092112663049, 0.15847518256908333, 0.0983351387059022, 0.04394204812859626, 0.2962603622152911, 0.21135475315876598, 0.12646126582771294, -0.2940288219006585, 0.07419648618853994, -0.02665356939082573] |
1,802.05549 | Stochastic homogenization of a scalar viscoelastic model exhibiting
stress-strain hysteresis | Motivated by rate-independent stress-strain hysteresis observed in filled
rubber, this article considers a scalar viscoelastic model in which the
constitutive law is random and varies on a lengthscale which is small relative
to the overall size of the solid. Using stochastic two-scale convergence as
introduced by Bourgeat, Mikelic and Wright, we obtain the homogenized limit of
the evolution, and demonstrate that under certain hypotheses, the homogenized
model exhibits hysteretic behaviour which persists under asymptotically slow
loading. These results are illustrated by means of numerical simulations in a
particular one-dimensional instance of the model.
| math.AP | motivated by rateindependent stressstrain hysteresis observed in filled rubber this article considers a scalar viscoelastic model in which the constitutive law is random and varies on a lengthscale which is small relative to the overall size of the solid using stochastic twoscale convergence as introduced by bourgeat mikelic and wright we obtain the homogenized limit of the evolution and demonstrate that under certain hypotheses the homogenized model exhibits hysteretic behaviour which persists under asymptotically slow loading these results are illustrated by means of numerical simulations in a particular onedimensional instance of the model | [['motivated', 'by', 'rateindependent', 'stressstrain', 'hysteresis', 'observed', 'in', 'filled', 'rubber', 'this', 'article', 'considers', 'a', 'scalar', 'viscoelastic', 'model', 'in', 'which', 'the', 'constitutive', 'law', 'is', 'random', 'and', 'varies', 'on', 'a', 'lengthscale', 'which', 'is', 'small', 'relative', 'to', 'the', 'overall', 'size', 'of', 'the', 'solid', 'using', 'stochastic', 'twoscale', 'convergence', 'as', 'introduced', 'by', 'bourgeat', 'mikelic', 'and', 'wright', 'we', 'obtain', 'the', 'homogenized', 'limit', 'of', 'the', 'evolution', 'and', 'demonstrate', 'that', 'under', 'certain', 'hypotheses', 'the', 'homogenized', 'model', 'exhibits', 'hysteretic', 'behaviour', 'which', 'persists', 'under', 'asymptotically', 'slow', 'loading', 'these', 'results', 'are', 'illustrated', 'by', 'means', 'of', 'numerical', 'simulations', 'in', 'a', 'particular', 'onedimensional', 'instance', 'of', 'the', 'model']] | [-0.11240119541869954, 0.15367084516354068, -0.06981920147739837, 0.0021293405658545216, -0.030131006390666185, -0.13395531649154652, 0.010915942647008469, 0.32409942569211125, -0.2773629531831197, -0.26259286869722215, 0.1031908028032732, -0.22478084768796258, -0.21294299982812093, 0.18335021009071448, -0.08573669857983275, 0.09705518474599914, 0.014888158614706734, -0.020504349741436865, -0.03335686380033503, -0.2271817777148934, 0.2730872724179948, 0.037424672233021775, 0.2945560780758767, 0.007505961778604061, 0.12729825966538477, -0.023955136934882434, 0.002037440507632235, 0.10855947641412848, -0.19151660291588443, 0.056777886195999126, 0.17869989852593077, 0.00021782626256184733, 0.26845962831588543, -0.4215297756372425, -0.2473146043535646, 0.05574307549218445, 0.10902302252582993, 0.06650377144535963, -0.006200247288570213, -0.24126390972346795, 0.08086546088325912, -0.15361808166515245, -0.17760273898729, -0.08945817261448373, 3.339997087807759e-05, 0.07495113669732667, -0.28733367437456286, 0.14227047874895937, 0.09707630912397809, 0.06608258947507357, -0.12358150024311212, -0.05088950530119726, -0.017032617505680282, 0.03600758181140839, 0.11551645360304974, -0.057787104934939874, 0.14529390287909494, -0.1179983455146177, -0.025196973949356976, 0.39199230820952874, -0.09957592751142448, -0.1943471330197771, 0.16978262325890525, -0.12017725385806483, -0.07553472885679778, 0.1362312005215284, 0.1528443153846361, 0.0845409619547433, -0.19189798679081319, 0.10310995991091224, -0.07383754744153956, 0.15709881241270088, 0.09528058481595034, -0.05287193456846897, 0.1367430366859164, 0.24527456864218591, -0.0025021668786749892, 0.2137029427837621, -0.049160963331814855, -0.14528852455196498, -0.3311579555232564, -0.11977899835429802, -0.1768333382560345, 0.08261303074212502, -0.15447014530582237, -0.21126692964690333, 0.3643926518726284, 0.12954574616489242, 0.18084948694171465, 0.10620815647163671, 0.22173674952026215, 0.14051719240555743, -0.0016353977034273355, 0.06436711597463886, 0.25348107637230144, 0.15533589686864338, 0.12126622462402219, -0.2374432203359902, 0.11904517775806396, 0.08892625531829569] |
1,802.0555 | ICA based on Split Generalized Gaussian | Independent Component Analysis (ICA) - one of the basic tools in data
analysis - aims to find a coordinate system in which the components of the data
are independent. Most popular ICA methods use kurtosis as a metric of
non-Gaussianity to maximize, such as FastICA and JADE. However, their
assumption of fourth-order moment (kurtosis) may not always be satisfied in
practice. One of the possible solution is to use third-order moment (skewness)
instead of kurtosis, which was applied in $ICA_{SG}$ and EcoICA.
In this paper we present a competitive approach to ICA based on the Split
Generalized Gaussian distribution (SGGD), which is well adapted to heavy-tailed
as well as asymmetric data. Consequently, we obtain a method which works better
than the classical approaches, in both cases: heavy tails and non-symmetric
data. \end{abstract}
| stat.ML | independent component analysis ica one of the basic tools in data analysis aims to find a coordinate system in which the components of the data are independent most popular ica methods use kurtosis as a metric of nongaussianity to maximize such as fastica and jade however their assumption of fourthorder moment kurtosis may not always be satisfied in practice one of the possible solution is to use thirdorder moment skewness instead of kurtosis which was applied in ica_sg and ecoica in this paper we present a competitive approach to ica based on the split generalized gaussian distribution sggd which is well adapted to heavytailed as well as asymmetric data consequently we obtain a method which works better than the classical approaches in both cases heavy tails and nonsymmetric data endabstract | [['independent', 'component', 'analysis', 'ica', 'one', 'of', 'the', 'basic', 'tools', 'in', 'data', 'analysis', 'aims', 'to', 'find', 'a', 'coordinate', 'system', 'in', 'which', 'the', 'components', 'of', 'the', 'data', 'are', 'independent', 'most', 'popular', 'ica', 'methods', 'use', 'kurtosis', 'as', 'a', 'metric', 'of', 'nongaussianity', 'to', 'maximize', 'such', 'as', 'fastica', 'and', 'jade', 'however', 'their', 'assumption', 'of', 'fourthorder', 'moment', 'kurtosis', 'may', 'not', 'always', 'be', 'satisfied', 'in', 'practice', 'one', 'of', 'the', 'possible', 'solution', 'is', 'to', 'use', 'thirdorder', 'moment', 'skewness', 'instead', 'of', 'kurtosis', 'which', 'was', 'applied', 'in', 'ica_sg', 'and', 'ecoica', 'in', 'this', 'paper', 'we', 'present', 'a', 'competitive', 'approach', 'to', 'ica', 'based', 'on', 'the', 'split', 'generalized', 'gaussian', 'distribution', 'sggd', 'which', 'is', 'well', 'adapted', 'to', 'heavytailed', 'as', 'well', 'as', 'asymmetric', 'data', 'consequently', 'we', 'obtain', 'a', 'method', 'which', 'works', 'better', 'than', 'the', 'classical', 'approaches', 'in', 'both', 'cases', 'heavy', 'tails', 'and', 'nonsymmetric', 'data', 'endabstract']] | [-0.03846687790534393, 0.00712547186894093, -0.1496829506537811, 0.10928674860707095, -0.10352938576036785, -0.15927473247403234, -0.021489323443168496, 0.35278305211416117, -0.24837779362344983, -0.2609683102158111, 0.1548865765734671, -0.2941604479744033, -0.12419391427130445, 0.1845004191974134, -0.058598313638967954, 0.0732418208971517, 0.023715036528874335, 0.049021178654827705, -0.04684057404281659, -0.2548435487395783, 0.3064799027473438, 0.059077343862232436, 0.3272315832808262, -0.0003140008913015756, 0.07421920556237273, -0.0006104674608277993, -0.06860079011086037, 0.04473537756195125, -0.04818842663451677, 0.1123820157816971, 0.26995302468362287, 0.16499989264629558, 0.2537031244178574, -0.3670365859380388, -0.1806560062150669, 0.1479904551313838, 0.16879839066592023, 0.0966483672911679, -0.007078676221616782, -0.2488664739919225, 0.06769485389960446, -0.16954858379995846, -0.13082451480404128, -0.14376326647447787, -0.016447692185523003, 0.04643199183450147, -0.32698557576105935, 0.12525042710004478, 0.10081199168476944, 0.040247038828106374, -0.009382124130401438, -0.18879807968788934, 0.012405870038664012, 0.06122978055468342, 0.10998946583397158, 0.0008469251219153874, 0.10358263921051279, -0.07905253107791517, -0.09989594405802979, 0.3873143909209386, -0.11335020567674106, -0.23440242605100525, 0.15709176785899254, -0.10730774123148304, -0.19272377578482972, 0.07145590420563037, 0.21869865562913454, 0.1310434585921173, -0.188129407170368, 0.028127386929984316, -0.006034598143140632, 0.1711043942871863, 0.027684073810883628, 0.0020115004071423154, 0.1381331063645679, 0.1301597251124152, 0.09876308124552538, 0.11791939369685156, -0.0983754910370995, -0.10241671658980873, -0.26592861972455906, -0.11506868656871357, -0.2152571526876702, -0.010356050047828214, -0.11861490814978216, -0.19774077914831206, 0.3878985708212759, 0.16372866527494556, 0.19465598504711676, 0.026171291536673552, 0.363730421744463, 0.10900948829142244, 0.07567349752946574, 0.08671514643722866, 0.20385678098573695, 0.142021573421373, 0.10454701050642995, -0.13663270610465308, 0.09636272999868677, 0.002489039395737836] |
1,802.05551 | Measurement of Radio-Frequency Radiation Pressure | We perform measurements of the radiation pressure of a radio-frequency (RF)
electromagnetic field which may lead to a new SI-traceable power calibration.
There are several groups around the world investigating methods to perform more
direct SI traceable measurement of RF power (where RF is defined to range from
100s of MHz to THz). A measurement of radiation pressure offers the possibility
for a power measure traceable to the kilogram and to Planck's constant through
the redefined SI. Towards this goal, we demonstrate the ability to measure the
radiation pressure/force carried in a field at 15~GHz.
| physics.app-ph physics.ins-det | we perform measurements of the radiation pressure of a radiofrequency rf electromagnetic field which may lead to a new sitraceable power calibration there are several groups around the world investigating methods to perform more direct si traceable measurement of rf power where rf is defined to range from 100s of mhz to thz a measurement of radiation pressure offers the possibility for a power measure traceable to the kilogram and to plancks constant through the redefined si towards this goal we demonstrate the ability to measure the radiation pressureforce carried in a field at 15ghz | [['we', 'perform', 'measurements', 'of', 'the', 'radiation', 'pressure', 'of', 'a', 'radiofrequency', 'rf', 'electromagnetic', 'field', 'which', 'may', 'lead', 'to', 'a', 'new', 'sitraceable', 'power', 'calibration', 'there', 'are', 'several', 'groups', 'around', 'the', 'world', 'investigating', 'methods', 'to', 'perform', 'more', 'direct', 'si', 'traceable', 'measurement', 'of', 'rf', 'power', 'where', 'rf', 'is', 'defined', 'to', 'range', 'from', '100s', 'of', 'mhz', 'to', 'thz', 'a', 'measurement', 'of', 'radiation', 'pressure', 'offers', 'the', 'possibility', 'for', 'a', 'power', 'measure', 'traceable', 'to', 'the', 'kilogram', 'and', 'to', 'plancks', 'constant', 'through', 'the', 'redefined', 'si', 'towards', 'this', 'goal', 'we', 'demonstrate', 'the', 'ability', 'to', 'measure', 'the', 'radiation', 'pressureforce', 'carried', 'in', 'a', 'field', 'at', '15ghz']] | [-0.1324855184807491, 0.1295493715491734, -0.04670746068127061, -0.04367115328970708, -0.09371702119610027, -0.11841656263231447, 0.09214023047273881, 0.40262693941201033, -0.2394987860106324, -0.34040185569932585, 0.05082530448286745, -0.25420599905283825, -0.012276805211838923, 0.26847537228543505, -0.022454684148607684, 0.030706754983647874, -0.025333248235677418, 0.009838750728062893, -0.04095391384938634, -0.13802705565957646, 0.24667930403038074, 0.17337317176555334, 0.28127643691473886, 0.06281334241165927, 0.10363661645862617, -0.06269611086892454, -0.06585075701709445, 0.03970255664500751, -0.10805744746283284, 0.0765536249664269, 0.2889085960182312, 0.126912258141429, 0.2885649073672922, -0.4169028599305373, -0.22513163422087307, 0.118016199939149, 0.05554049327160771, 0.08546339260095633, -0.06423958747136088, -0.2457047983317783, 0.08404803465757715, -0.18391077583165547, -0.120310255012622, -0.04511426938207526, -0.019898558282492512, 0.009041287022103604, -0.28480215817689897, 0.01586086387795053, -0.00904674023929003, 0.069585946074834, -0.03544782745210748, -0.06016204030694146, 0.04490906354039907, 0.09935586586055395, 0.007339813008806423, 0.04306002405815219, 0.20221795967142833, -0.08301435010752788, -0.07134621314900486, 0.38544782733446675, -0.10592595652530068, -0.11756499176354784, 0.1568931762472187, -0.1938865910382255, -0.07682999591343105, 0.1629107366046427, 0.17082546031788776, 0.0709425931967991, -0.14601607087411378, 0.01033741036662832, 0.07117415324196612, 0.19722057660049025, 0.08723550574657948, 0.042109088692814114, 0.24227095216904815, 0.13334684479785594, 0.06575878946796844, 0.13327367129294496, -0.13001458157638185, 0.02185625344220745, -0.2642570688438259, -0.14845559424475618, -0.17836392395394413, 0.10514949912107305, -0.03739160703139772, -0.13287857000617997, 0.4155049526573796, 0.19272298603686258, 0.14868648069861687, 0.01537147500049813, 0.3657710649857396, 0.09180353423948155, 0.08878309181646298, 0.018407334403232917, 0.2962469558697194, 0.19263827863492464, 0.1405864763759861, -0.2038851389489872, -0.046678743893770795, -0.07082817221648599] |
1,802.05552 | Searching for galactic axions through magnetized media: QUAX status
report | The current status of the QUAX R\&D program is presented. QUAX is a
feasibility study for a detection of axion as dark matter based on the coupling
to the electrons. The relevant signal is a magnetization change of a magnetic
material placed inside a resonant microwave cavity and polarized with a static
magnetic field.
| physics.ins-det hep-ph | the current status of the quax rd program is presented quax is a feasibility study for a detection of axion as dark matter based on the coupling to the electrons the relevant signal is a magnetization change of a magnetic material placed inside a resonant microwave cavity and polarized with a static magnetic field | [['the', 'current', 'status', 'of', 'the', 'quax', 'rd', 'program', 'is', 'presented', 'quax', 'is', 'a', 'feasibility', 'study', 'for', 'a', 'detection', 'of', 'axion', 'as', 'dark', 'matter', 'based', 'on', 'the', 'coupling', 'to', 'the', 'electrons', 'the', 'relevant', 'signal', 'is', 'a', 'magnetization', 'change', 'of', 'a', 'magnetic', 'material', 'placed', 'inside', 'a', 'resonant', 'microwave', 'cavity', 'and', 'polarized', 'with', 'a', 'static', 'magnetic', 'field']] | [-0.21413532782483985, 0.16644043489186852, -0.042604141127042194, 0.01378990452590019, -0.10881379381236103, -0.09142375527881086, 0.03503885037584782, 0.3352553168380702, -0.20089710427068727, -0.307657314395463, 0.09172822059028679, -0.25828129874059447, -0.030407241536994225, 0.22116775555467164, 0.07015963913700371, 0.0054251329145497745, -0.027180912826831143, 0.07148384878894797, -0.022158910365154345, -0.14577277028433014, 0.296696105937439, 0.07027314912907227, 0.2717790464629178, 0.09067462138935095, 0.0942564011482453, 0.008350035632719044, 0.037326903047936934, 0.02277834630674786, -0.07889991657187541, 0.07474982438402043, 0.17964469317208837, 0.0612275054488607, 0.19851895686911625, -0.4259920292361467, -0.17540975368616205, 0.09289349194754053, 0.07780855217586374, 0.11397643063079428, -0.13873314999983888, -0.3086945701873413, 0.027803619236995775, -0.10930778289696684, -0.11033915200581153, 0.00554325229798754, -0.006711146076365064, 0.027881883270176197, -0.30697490749190803, 0.008568053702927299, 0.010423663072288036, 0.020546855450245656, -0.08076016132340387, -0.06142916094891175, 0.00842662757538535, 0.006469908437726123, 0.03844083163076667, 0.12481874981636389, 0.25637439421067637, -0.1716843382800343, -0.11839843228355879, 0.3771205795001825, -0.12091848485094185, -0.142736097642531, 0.12293297853062136, -0.16998162118856003, -0.06554255049882664, 0.14573873394531095, 0.18767979927361012, 0.11378397454542143, -0.15232552351706005, 0.11925061355685573, -0.04475811976697986, 0.2002002828133603, 0.010060570884013065, 0.026509538275638112, 0.3619766869340782, 0.28949391150295184, 0.03195739177883499, 0.15347372511125826, -0.13063868343467927, 0.0021251284827788672, -0.3338217010928525, -0.15888575164394247, -0.1833148571593618, 0.03680582189311584, -0.022286566422499838, -0.17536329176207935, 0.4293142605305615, 0.12389993172621837, 0.13674594148458843, -0.06929989792061625, 0.37151980878681773, 0.078797448467446, 0.026470199330813356, 0.013616240522996695, 0.32730506313964725, 0.20804906074233628, 0.13865743388628793, -0.2993751599677597, 0.0011117417037625004, -0.04288460613504328] |
1,802.05553 | Turbulence Excitation in Counter-Streaming Paraxial Superfluids of Light | Turbulence in the quantum (superfluid) regime, similarly to its classical
counterpart, continues to attract a great deal of scientific inquiry, due to
the yet high number of unresolved problems. While turbulent states can be
routinely created in degenerate atomic gases, there is no generic scheme to
produce turbulence in fluids of light. Under paraxial propagation, light in
bulk nonlinear media behaves as a two-dimensional superfluid, described by a
nonlinear Schr\"{o}dinger equation formally equivalent to the Gross-Pitaevskii
model of a weakly interacting Bose gas, where photon-photon interactions are
mediated by a third order (Kerr) nonlinearity. Here, we develop the theory
describing the onset of a kinetic instability when two paraxial optical fluids
with different streaming velocities interact via the optical nonlinearity. From
numerical simulations of the nonlinear Schr\"{o}dinger equation, we further
characterize the onset of the instability and describe its saturation in the
form of vortex nucleation and excitation of turbulence. The experimental
observation of such effects is also discussed. The class of instabilities
described here thus provide a natural route towards the investigation of
quantum (superfluid) turbulence, structure formation and out-of-equilibrium
dynamics in superfluids of light.
| quant-ph cond-mat.quant-gas physics.optics physics.plasm-ph | turbulence in the quantum superfluid regime similarly to its classical counterpart continues to attract a great deal of scientific inquiry due to the yet high number of unresolved problems while turbulent states can be routinely created in degenerate atomic gases there is no generic scheme to produce turbulence in fluids of light under paraxial propagation light in bulk nonlinear media behaves as a twodimensional superfluid described by a nonlinear schrodinger equation formally equivalent to the grosspitaevskii model of a weakly interacting bose gas where photonphoton interactions are mediated by a third order kerr nonlinearity here we develop the theory describing the onset of a kinetic instability when two paraxial optical fluids with different streaming velocities interact via the optical nonlinearity from numerical simulations of the nonlinear schrodinger equation we further characterize the onset of the instability and describe its saturation in the form of vortex nucleation and excitation of turbulence the experimental observation of such effects is also discussed the class of instabilities described here thus provide a natural route towards the investigation of quantum superfluid turbulence structure formation and outofequilibrium dynamics in superfluids of light | [['turbulence', 'in', 'the', 'quantum', 'superfluid', 'regime', 'similarly', 'to', 'its', 'classical', 'counterpart', 'continues', 'to', 'attract', 'a', 'great', 'deal', 'of', 'scientific', 'inquiry', 'due', 'to', 'the', 'yet', 'high', 'number', 'of', 'unresolved', 'problems', 'while', 'turbulent', 'states', 'can', 'be', 'routinely', 'created', 'in', 'degenerate', 'atomic', 'gases', 'there', 'is', 'no', 'generic', 'scheme', 'to', 'produce', 'turbulence', 'in', 'fluids', 'of', 'light', 'under', 'paraxial', 'propagation', 'light', 'in', 'bulk', 'nonlinear', 'media', 'behaves', 'as', 'a', 'twodimensional', 'superfluid', 'described', 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1,802.05554 | New way of second quantized theory of fermions with either Clifford or
Grassmann coordinates and spin-charge-family theory | Fermions with the internal degrees of freedom described in Clifford space
carry in any dimension a half integer spin. There are two kinds of spins in
Clifford space. The spin-charge-family theory,assuming even d=13+1, uses one
kind of spins to describe in d=3+1 spins and charges of quarks and leptons and
antiquarks and antileptons, while the other kind is used to describe families.
The new way of second quantization, suggested by the spin-charge-family theory,
is presented. It is shown that the creation and annihilation operators of
1-fermion states, written as products of nilpotents and projectors of an odd
Clifford character, fulfill the anticommutation relations as required in the
second quantization procedure for fermions: 1-fermion states are in Clifford
space already second quantized, the creation operators for any n-fermion second
quantized vectors are products of one fermion creation operators, operating on
the empty vacuum state. It is demonstrated that also in Grassmann space there
exist the creation and annihilation operators of an odd Grassmann character,
generating "fermions", which fulfill as well the anticommutation relations for
fermions, representing correspondingly the second quantized 1-"fermion" states,
in this case with integer spins. Grassmann space offers no families. We discuss
the new second quantization procedure of the fields in both spaces. For the
Grassmann case we present the action, basic states, solutions of the Weyl
equation for free massless "fermions" and discrete symmetry operators. A short
overview of the achievements of the spin-charge-family theory is done, and open
problems of this theory still waiting to be solved are presented. The Grassmann
and the Clifford case are compared in order to better understand open questions
in physics of elementary fermion and boson fields and in cosmology.
| physics.gen-ph | fermions with the internal degrees of freedom described in clifford space carry in any dimension a half integer spin there are two kinds of spins in clifford space the spinchargefamily theoryassuming even d131 uses one kind of spins to describe in d31 spins and charges of quarks and leptons and antiquarks and antileptons while the other kind is used to describe families the new way of second quantization suggested by the spinchargefamily theory is presented it is shown that the creation and annihilation operators of 1fermion states written as products of nilpotents and projectors of an odd clifford character fulfill the anticommutation relations as required in the second quantization procedure for fermions 1fermion states are in clifford space already second quantized the creation operators for any nfermion second quantized vectors are products of one fermion creation operators operating on the empty vacuum state it is demonstrated that also in grassmann space there exist the creation and annihilation operators of an odd grassmann character generating fermions which fulfill as well the anticommutation relations for fermions representing correspondingly the second quantized 1fermion states in this case with integer spins grassmann space offers no families we discuss the new second quantization procedure of the fields in both spaces for the grassmann case we present the action basic states solutions of the weyl equation for free massless fermions and discrete symmetry operators a short overview of the achievements of the spinchargefamily theory is done and open problems of this theory still waiting to be solved are presented the grassmann and the clifford case are compared in order to better understand open questions in physics of elementary fermion and boson fields and in cosmology | [['fermions', 'with', 'the', 'internal', 'degrees', 'of', 'freedom', 'described', 'in', 'clifford', 'space', 'carry', 'in', 'any', 'dimension', 'a', 'half', 'integer', 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1,802.05555 | Adaptive Boundaries in Multiscale Simulations | Combined-resolution simulations are an effective way to study molecular
properties across a range of length- and time-scales. These simulations can
benefit from adaptive boundaries that allow the high-resolution region to adapt
(change size and/or shape) as the simulation progresses. The number of degrees
of freedom required to accurately represent even a simple molecular process can
vary by several orders of magnitude throughout the course of a simulation, and
adaptive boundaries react to these changes to include an appropriate but not
excessive amount of detail. Here, we derive the Hamiltonian and distribution
function for such a molecular simulation. We also design an algorithm that can
efficiently sample the boundary as a new coordinate of the system. We apply
this framework to a mixed explicit/continuum representation of a peptide in
solvent. We use this example to discuss the conditions necessary for a
successful implementation of adaptive boundaries that is both efficient and
accurate in reproducing molecular properties.
| physics.comp-ph cond-mat.stat-mech | combinedresolution simulations are an effective way to study molecular properties across a range of length and timescales these simulations can benefit from adaptive boundaries that allow the highresolution region to adapt change size andor shape as the simulation progresses the number of degrees of freedom required to accurately represent even a simple molecular process can vary by several orders of magnitude throughout the course of a simulation and adaptive boundaries react to these changes to include an appropriate but not excessive amount of detail here we derive the hamiltonian and distribution function for such a molecular simulation we also design an algorithm that can efficiently sample the boundary as a new coordinate of the system we apply this framework to a mixed explicitcontinuum representation of a peptide in solvent we use this example to discuss the conditions necessary for a successful implementation of adaptive boundaries that is both efficient and accurate in reproducing molecular properties | [['combinedresolution', 'simulations', 'are', 'an', 'effective', 'way', 'to', 'study', 'molecular', 'properties', 'across', 'a', 'range', 'of', 'length', 'and', 'timescales', 'these', 'simulations', 'can', 'benefit', 'from', 'adaptive', 'boundaries', 'that', 'allow', 'the', 'highresolution', 'region', 'to', 'adapt', 'change', 'size', 'andor', 'shape', 'as', 'the', 'simulation', 'progresses', 'the', 'number', 'of', 'degrees', 'of', 'freedom', 'required', 'to', 'accurately', 'represent', 'even', 'a', 'simple', 'molecular', 'process', 'can', 'vary', 'by', 'several', 'orders', 'of', 'magnitude', 'throughout', 'the', 'course', 'of', 'a', 'simulation', 'and', 'adaptive', 'boundaries', 'react', 'to', 'these', 'changes', 'to', 'include', 'an', 'appropriate', 'but', 'not', 'excessive', 'amount', 'of', 'detail', 'here', 'we', 'derive', 'the', 'hamiltonian', 'and', 'distribution', 'function', 'for', 'such', 'a', 'molecular', 'simulation', 'we', 'also', 'design', 'an', 'algorithm', 'that', 'can', 'efficiently', 'sample', 'the', 'boundary', 'as', 'a', 'new', 'coordinate', 'of', 'the', 'system', 'we', 'apply', 'this', 'framework', 'to', 'a', 'mixed', 'explicitcontinuum', 'representation', 'of', 'a', 'peptide', 'in', 'solvent', 'we', 'use', 'this', 'example', 'to', 'discuss', 'the', 'conditions', 'necessary', 'for', 'a', 'successful', 'implementation', 'of', 'adaptive', 'boundaries', 'that', 'is', 'both', 'efficient', 'and', 'accurate', 'in', 'reproducing', 'molecular', 'properties']] | [-0.0989035332097605, 0.10421404803163764, -0.1070314372518386, 0.05189158459271472, -0.07184364969136035, -0.06263173695385846, 0.049504108886764035, 0.43046053598811423, -0.28702452642313553, -0.339090436118734, 0.11271259755130517, -0.18496509411926168, -0.17051774544604853, 0.18610226276050645, -0.04821426499185298, 0.036308359337994964, 0.06813776932863726, -0.022414875493744036, -0.07712940558383327, -0.21766237545076733, 0.2642050789487685, 0.09989111046185048, 0.22916420744853763, 0.035877383537773117, 0.09353012218538768, -0.005913666539271575, -0.005361688983766666, 0.033775302879755796, -0.15742205437557166, 0.12494698819957158, 0.24359457888123062, 0.11235609271387065, 0.27093874695984754, -0.46074310293263454, -0.242147750957729, 0.08174374746805471, 0.17868967996179766, 0.15472094269371986, -0.04981453756320905, -0.20561430010536771, 0.07820317338013814, -0.1723596643705189, -0.17959580891552607, -0.11613876418837535, -0.005528905928086221, 0.04246891591411839, -0.2966169853865175, 0.04725894834458207, 0.002161004833170986, 0.053774580858599125, -0.057177368458664786, -0.08225359772164618, 0.0020057171601436884, 0.17666537756422912, -0.025329954802169725, -0.0004073120090574805, 0.1739899036115008, -0.12203456321274679, -0.06530080355241213, 0.36078578922775834, -0.034143820534356766, -0.21952140629535016, 0.24910196425161915, -0.09512614273447909, -0.1300183595249466, 0.15434858652769157, 0.20004464567827632, 0.14310994965870397, -0.15432659249594496, 0.023743800759571148, -0.013537695816279772, 0.19797403556507787, 0.013380124338665138, 0.041551970356308365, 0.18691737991848997, 0.1584553913962023, 0.05520209339538626, 0.1576347139791823, -0.09502935715117096, -0.12390617886862529, -0.2958589777836631, -0.18263598584660917, -0.1556987674036398, 0.008883465875911807, -0.09277404879419182, -0.14993439951540258, 0.3920180555189552, 0.21362390985417185, 0.20791696808818314, 0.04507897570679798, 0.29502140312437336, 0.06643805507223542, 0.06680438344920772, 0.05069270220834737, 0.17416770956509448, 0.07889068084601557, 0.06848306840687406, -0.24763960416696576, 0.08405683644639414, 0.017197413482624137] |
1,802.05556 | Hopf Real Hypersurfaces in the Indefinite Complex Projective Space | We wish to attack the problems that H.~Anciaux and K.~Panagiotidou posed in
[1], for non-degenerate real hypersurfaces in indefinite complex projective
space. We will slightly change these authors' point of view, obtaining cleaner
equations for the almost contact metric structure. To make the theory
meaningful, we construct new families of non-degenerate Hopf real hypersurfaces
whose shape operator is diagonalisable, and one Hopf example with degenerate
metric and non-diagonalisable shape operator. Next, we obtain a rigidity
result. We classify those real hypersurfaces which are $\eta$-umbilical. As a
consequence, we characterize some of our new examples as those whose Reeb
vector field $\xi$ is Killing.
| math.DG | we wish to attack the problems that hanciaux and kpanagiotidou posed in 1 for nondegenerate real hypersurfaces in indefinite complex projective space we will slightly change these authors point of view obtaining cleaner equations for the almost contact metric structure to make the theory meaningful we construct new families of nondegenerate hopf real hypersurfaces whose shape operator is diagonalisable and one hopf example with degenerate metric and nondiagonalisable shape operator next we obtain a rigidity result we classify those real hypersurfaces which are etaumbilical as a consequence we characterize some of our new examples as those whose reeb vector field xi is killing | [['we', 'wish', 'to', 'attack', 'the', 'problems', 'that', 'hanciaux', 'and', 'kpanagiotidou', 'posed', 'in', '1', 'for', 'nondegenerate', 'real', 'hypersurfaces', 'in', 'indefinite', 'complex', 'projective', 'space', 'we', 'will', 'slightly', 'change', 'these', 'authors', 'point', 'of', 'view', 'obtaining', 'cleaner', 'equations', 'for', 'the', 'almost', 'contact', 'metric', 'structure', 'to', 'make', 'the', 'theory', 'meaningful', 'we', 'construct', 'new', 'families', 'of', 'nondegenerate', 'hopf', 'real', 'hypersurfaces', 'whose', 'shape', 'operator', 'is', 'diagonalisable', 'and', 'one', 'hopf', 'example', 'with', 'degenerate', 'metric', 'and', 'nondiagonalisable', 'shape', 'operator', 'next', 'we', 'obtain', 'a', 'rigidity', 'result', 'we', 'classify', 'those', 'real', 'hypersurfaces', 'which', 'are', 'etaumbilical', 'as', 'a', 'consequence', 'we', 'characterize', 'some', 'of', 'our', 'new', 'examples', 'as', 'those', 'whose', 'reeb', 'vector', 'field', 'xi', 'is', 'killing']] | [-0.18597914153244346, 0.06708239966537803, -0.05709621535614133, 0.09165284106275066, -0.14802178841084243, -0.17978976882994174, -0.034309314725687726, 0.3698681364953518, -0.2945487107289955, -0.23040511276572942, 0.11347667948313755, -0.287022725250572, -0.23271659806370734, 0.20216020832769574, -0.12126672410406172, 0.04190875546075404, 0.06391717821825296, 0.1054017403582111, -0.09845340047264471, -0.28315909825032576, 0.4699557221354917, -0.036243542348966006, 0.17196470021270216, 0.032241151980124415, 0.10491558498237281, -0.0013638973992783575, 0.0037838322762399914, 0.03332706066285027, -0.18147012708977855, 0.130015811342746, 0.2702625320851803, 0.12077850778121502, 0.18768596835201606, -0.3429523650882766, -0.17751070524682291, 0.19361532014328986, 0.1235804842878133, 0.08840065495460295, -0.0069203536631539464, -0.30721782174427065, 0.08640628803055733, -0.12339191155042499, -0.22702839939855038, -0.1464385225251317, 0.00605430084397085, -0.003874448575079441, -0.23567082702938932, 0.020393603965640068, 0.08870663306675851, 0.08945164805278182, -0.12170180614106357, -0.07528836704732385, -0.042672888732049614, 0.10427873640786857, 0.01150058495812118, 0.042065530796535314, 0.08924819025211037, -0.056184691942762585, -0.11614052624907345, 0.3482894222438335, -0.06017949196510017, -0.27549251389224083, 0.147251297023613, -0.14855168438050895, -0.14759204933885484, 0.0917967292945832, 0.18238565004663543, 0.1749322281870991, -0.07067278162634466, 0.10420280886173713, -0.07486235205084085, 0.04609343651594827, 0.11573562963400036, -0.021471853950060904, 0.12451122510770801, 0.08458693113643675, 0.1296634715422988, 0.11704887863714247, -0.0043945051403716205, -0.10405601336155086, -0.36211731925141066, -0.19730141800129786, -0.10805574617348611, 0.15949951697140932, -0.13678309976079617, -0.22246543264016508, 0.40301632655085995, 0.07973276541568339, 0.23790854901075364, 0.07635275713517331, 0.2290161972877104, 0.06477149160928093, 0.024628264075145127, 0.06432939364691265, 0.19406077336199815, 0.1703936686180532, 0.059284288235940036, -0.056532368315383795, -0.04694684830319602, 0.11860623504035175] |
1,802.05557 | The Gauss-Bonnet Theorem for coherent tangent bundles over surfaces with
boundary and its applications | In [31,32,33] the Gauss-Bonnet formulas for coherent tangent bundles over
compact oriented surfaces (without boundary) were proved. We establish the
Gauss-Bonnet theorem for coherent tangent bundles over compact oriented
surfaces with boundary. We apply this theorem to investigate global properties
of maps between surfaces with boundary. As a corollary of our results we obtain
Fukuda-Ishikawa's theorem. We also study geometry of the affine extended wave
fronts for planar closed non singular hedgehogs (rosettes). In particular, we
find a link between the total geodesic curvature on the boundary and the total
singular curvature of the affine extended wave front, which leads to a relation
of integrals of functions of the width of a resette.
| math.DG | in 313233 the gaussbonnet formulas for coherent tangent bundles over compact oriented surfaces without boundary were proved we establish the gaussbonnet theorem for coherent tangent bundles over compact oriented surfaces with boundary we apply this theorem to investigate global properties of maps between surfaces with boundary as a corollary of our results we obtain fukudaishikawas theorem we also study geometry of the affine extended wave fronts for planar closed non singular hedgehogs rosettes in particular we find a link between the total geodesic curvature on the boundary and the total singular curvature of the affine extended wave front which leads to a relation of integrals of functions of the width of a resette | [['in', '313233', 'the', 'gaussbonnet', 'formulas', 'for', 'coherent', 'tangent', 'bundles', 'over', 'compact', 'oriented', 'surfaces', 'without', 'boundary', 'were', 'proved', 'we', 'establish', 'the', 'gaussbonnet', 'theorem', 'for', 'coherent', 'tangent', 'bundles', 'over', 'compact', 'oriented', 'surfaces', 'with', 'boundary', 'we', 'apply', 'this', 'theorem', 'to', 'investigate', 'global', 'properties', 'of', 'maps', 'between', 'surfaces', 'with', 'boundary', 'as', 'a', 'corollary', 'of', 'our', 'results', 'we', 'obtain', 'fukudaishikawas', 'theorem', 'we', 'also', 'study', 'geometry', 'of', 'the', 'affine', 'extended', 'wave', 'fronts', 'for', 'planar', 'closed', 'non', 'singular', 'hedgehogs', 'rosettes', 'in', 'particular', 'we', 'find', 'a', 'link', 'between', 'the', 'total', 'geodesic', 'curvature', 'on', 'the', 'boundary', 'and', 'the', 'total', 'singular', 'curvature', 'of', 'the', 'affine', 'extended', 'wave', 'front', 'which', 'leads', 'to', 'a', 'relation', 'of', 'integrals', 'of', 'functions', 'of', 'the', 'width', 'of', 'a', 'resette']] | [-0.2138847653838721, 0.0654126719116572, -0.10729401677169582, 0.07975704693129625, -0.10040548115291378, -0.09701049318537117, 0.016082100313029844, 0.3702741802754727, -0.2582978759807619, -0.186566813853146, 0.09359582958700643, -0.23077223338186742, -0.17208049477247353, 0.2307127388067205, -0.09563821322557156, 0.030808492868461393, 0.027191296490755947, 0.05774001467718997, -0.13958455582509155, -0.20821654876503584, 0.4443650196221742, -0.07075502473850395, 0.23460326308215207, 0.131131579303606, 0.12428883528760211, 0.028297613603486257, -0.02165245383723893, 0.04379253396764397, -0.21083371707830917, 0.15176733042621476, 0.24432898516004736, 0.014987632348625497, 0.16391036014326593, -0.4253915359350768, -0.21936297378587452, 0.12371651022695004, 0.06540776681715876, 0.04983359884195538, 0.011705092369282449, -0.28068119995296004, 0.07889678724194792, -0.08250682174482128, -0.23877747930078344, -0.01659375909207897, 0.016668172873588363, 0.041111730417998676, -0.18519499926743183, 0.06094788791035006, 0.10783698612993414, 0.06143884641033682, -0.12041052339852533, -0.03513858447814445, -0.10631918208038604, 0.08076256903481077, 0.028966179739853198, 0.04243244338060983, 0.07703944021327928, -0.09751641533379866, -0.11119551414793188, 0.3101385056760839, -0.12157231024148958, -0.2632828222587705, 0.13860367243601518, -0.1515148182907565, -0.1043504356448962, 0.15380505077456208, 0.19319428705017674, 0.18985935510559515, -0.06600378683598881, 0.13392702563697556, -0.09283758296858816, 0.06746882718395103, 0.15584575025872752, -0.013033457963981412, 0.18112602009522644, 0.06642681934489784, 0.14846310347995975, 0.2086747363738885, -0.08631043842072937, -0.09205142724835737, -0.3896770271218636, -0.2663425688991662, -0.08489888314665718, 0.12311786589800083, -0.1446305965241415, -0.24352129559371283, 0.36287841472605414, 0.044336991651322356, 0.20248789978636936, 0.12475897419710898, 0.22362153463234954, 0.09167721914974127, 0.052137693085453726, 0.09286918435245753, 0.22136999721723524, 0.2461645499062301, 0.01517253243576058, -0.14258057854392311, -0.04613091397861188, 0.16441443316977133] |
1,802.05558 | Generalizing Choi-like maps | A problem of further generalization of generalized Choi maps $\Phi_{[a,b,c]}$
acting on $\mathbb{M}_3$ introduced by Cho, Kye and Lee is discussed. Some
necessary conditions for positivity of the generalized maps are provided as
well as some sufficient conditions. Also some sufficient condition for
decomposability of these maps is shown.
| math.OA | a problem of further generalization of generalized choi maps phi_abc acting on mathbbm_3 introduced by cho kye and lee is discussed some necessary conditions for positivity of the generalized maps are provided as well as some sufficient conditions also some sufficient condition for decomposability of these maps is shown | [['a', 'problem', 'of', 'further', 'generalization', 'of', 'generalized', 'choi', 'maps', 'phi_abc', 'acting', 'on', 'mathbbm_3', 'introduced', 'by', 'cho', 'kye', 'and', 'lee', 'is', 'discussed', 'some', 'necessary', 'conditions', 'for', 'positivity', 'of', 'the', 'generalized', 'maps', 'are', 'provided', 'as', 'well', 'as', 'some', 'sufficient', 'conditions', 'also', 'some', 'sufficient', 'condition', 'for', 'decomposability', 'of', 'these', 'maps', 'is', 'shown']] | [-0.09717082144801524, 0.09127058162096333, -0.03781187491729222, 0.1252097297866056, -0.049205364074875066, -0.16053520417475003, -0.02303224453762015, 0.331498577953019, -0.2552172176024698, -0.2433715783693689, 0.20743758802084214, -0.15246589895971913, -0.25823460400421566, 0.2346185212756725, -0.14819546271749634, 0.12358855131141683, 0.01911095190951799, 0.015475060830407955, -0.0874796261852409, -0.31492118263726143, 0.3625365031011244, 0.1118664428978128, 0.21777409259626207, 0.18645261273659924, 0.1340012534997089, -0.03582778725738419, -0.08788225832494333, 0.043452897000106724, -0.1977082150443358, 0.05037762922918464, 0.1677054019590364, 0.2047180297507092, 0.2335384119539819, -0.37572683457364425, -0.2165982306617847, 0.13757946546328195, 0.06041677104943293, 0.04258011214118054, -0.0581331155089503, -0.3270324534399712, 0.11965709831565619, -0.10649274997016851, -0.12302036909386516, -0.14677870527226874, 0.019154766832101853, 0.08107736084530963, -0.34621216491498846, 0.03748359893228205, 0.15728892190035115, 0.0775831486213026, -0.12671401624151685, -0.13028187320587484, -0.08790021238630598, 0.08983340554256389, -0.07289277636346982, -0.011788733571054453, 0.028337312545231048, -0.08144933615434677, -0.06343811437329079, 0.3566717698853067, -0.026060258117603496, -0.303981981775228, 0.1828382872490886, -0.0473546701721213, -0.18026409106963176, 0.03778252608955224, 0.04548099851037594, 0.089659572440259, -0.16373190680082808, 0.08456863318148881, -0.1384573740329831, -0.0033740599025437173, 0.16292566040213755, 0.05271923771881042, 0.08671413889115161, 0.016793761303291677, 0.16841778906181137, 0.2362655273024389, 0.0069969513086958765, -0.030401354952854044, -0.3822952042670643, -0.14206727249349685, -0.15361391482478443, 0.041347756575634505, -0.046226109526345524, -0.1108674086212983, 0.3605055654064772, 0.08733608276444546, 0.2128241687438431, 0.04977814859135988, 0.1962397758640904, 0.09864063069789096, 0.015922456028613637, 0.03193984218338068, 0.1340056780243956, 0.31067412949484235, 0.052080728321712705, -0.12442988159501568, 0.06588362321812422, 0.15552573121509494] |
1,802.05559 | Fine-Grained Complexity of Safety Verification | We study the fine-grained complexity of Leader Contributor Reachability (LCR)
and Bounded-Stage Reachability (BSR), two variants of the safety verification
problem for shared memory concurrent programs. For both problems, the memory is
a single variable over a finite data domain. Our contributions are new
verification algorithms and lower bounds. The latter are based on the
Exponential Time Hypothesis (ETH), the problem Set Cover, and
cross-compositions.
LCR is the question whether a designated leader thread can reach an unsafe
state when interacting with a certain number of equal contributor threads. We
suggest two parameterizations: (1) By the size of the data domain D and the
size of the leader L, and (2) by the size of the contributors C. We present
algorithms for both cases. The key techniques are compact witnesses and dynamic
programming. The algorithms run in O*((L(D+1))^(LD) * D^D) and O*(2^C) time,
showing that both parameterizations are fixed-parameter tractable. We
complement the upper bounds by (matching) lower bounds based on ETH and Set
Cover. Moreover, we prove the absence of polynomial kernels.
For BSR, we consider programs involving t different threads. We restrict the
analysis to computations where the write permission changes s times between the
threads. BSR asks whether a given configuration is reachable via such an
s-stage computation. When parameterized by P, the maximum size of a thread, and
t, the interesting observation is that the problem has a large number of
difficult instances. Formally, we show that there is no polynomial kernel, no
compression algorithm that reduces the size of the data domain D or the number
of stages s to a polynomial dependence on P and t. This indicates that symbolic
methods may be harder to find for this problem.
| cs.LO cs.DC cs.DS | we study the finegrained complexity of leader contributor reachability lcr and boundedstage reachability bsr two variants of the safety verification problem for shared memory concurrent programs for both problems the memory is a single variable over a finite data domain our contributions are new verification algorithms and lower bounds the latter are based on the exponential time hypothesis eth the problem set cover and crosscompositions lcr is the question whether a designated leader thread can reach an unsafe state when interacting with a certain number of equal contributor threads we suggest two parameterizations 1 by the size of the data domain d and the size of the leader l and 2 by the size of the contributors c we present algorithms for both cases the key techniques are compact witnesses and dynamic programming the algorithms run in old1ld dd and o2c time showing that both parameterizations are fixedparameter tractable we complement the upper bounds by matching lower bounds based on eth and set cover moreover we prove the absence of polynomial kernels for bsr we consider programs involving t different threads we restrict the analysis to computations where the write permission changes s times between the threads bsr asks whether a given configuration is reachable via such an sstage computation when parameterized by p the maximum size of a thread and t the interesting observation is that the problem has a large number of difficult instances formally we show that there is no polynomial kernel no compression algorithm that reduces the size of the data domain d or the number of stages s to a polynomial dependence on p and t this indicates that symbolic methods may be harder to find for this problem | [['we', 'study', 'the', 'finegrained', 'complexity', 'of', 'leader', 'contributor', 'reachability', 'lcr', 'and', 'boundedstage', 'reachability', 'bsr', 'two', 'variants', 'of', 'the', 'safety', 'verification', 'problem', 'for', 'shared', 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