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1,802.0236 | Cyber-Physical Architecture Assisted by Programmable Networking | Cyber-physical technologies are prone to attacks, in addition to faults and
failures. The issue of protecting cyber-physical systems should be tackled by
jointly addressing security at both cyber and physical domains, in order to
promptly detect and mitigate cyber-physical threats. Towards this end, this
letter proposes a new architecture combining control-theoretic solutions
together with programmable networking techniques to jointly handle crucial
threats to cyber-physical systems. The architecture paves the way for new
interesting techniques, research directions, and challenges which we discuss in
our work.
| cs.CR cs.SY | cyberphysical technologies are prone to attacks in addition to faults and failures the issue of protecting cyberphysical systems should be tackled by jointly addressing security at both cyber and physical domains in order to promptly detect and mitigate cyberphysical threats towards this end this letter proposes a new architecture combining controltheoretic solutions together with programmable networking techniques to jointly handle crucial threats to cyberphysical systems the architecture paves the way for new interesting techniques research directions and challenges which we discuss in our work | [['cyberphysical', 'technologies', 'are', 'prone', 'to', 'attacks', 'in', 'addition', 'to', 'faults', 'and', 'failures', 'the', 'issue', 'of', 'protecting', 'cyberphysical', 'systems', 'should', 'be', 'tackled', 'by', 'jointly', 'addressing', 'security', 'at', 'both', 'cyber', 'and', 'physical', 'domains', 'in', 'order', 'to', 'promptly', 'detect', 'and', 'mitigate', 'cyberphysical', 'threats', 'towards', 'this', 'end', 'this', 'letter', 'proposes', 'a', 'new', 'architecture', 'combining', 'controltheoretic', 'solutions', 'together', 'with', 'programmable', 'networking', 'techniques', 'to', 'jointly', 'handle', 'crucial', 'threats', 'to', 'cyberphysical', 'systems', 'the', 'architecture', 'paves', 'the', 'way', 'for', 'new', 'interesting', 'techniques', 'research', 'directions', 'and', 'challenges', 'which', 'we', 'discuss', 'in', 'our', 'work']] | [-0.2049463059329788, 0.0026484551739745905, -0.005239315658053826, 0.03802575876969578, -0.11086683332299192, -0.2520930510557567, 0.0460217140969776, 0.3287435689486474, -0.2816486117773734, -0.3333824601113087, 0.10912322032492652, -0.2928970948726471, -0.24098737220767708, 0.17786221803232496, -0.22114554022008243, 0.17838354506308124, -0.0011769353545137814, -0.13135307362037046, -0.0026953487235697963, -0.25578283880548996, 0.34645528512607726, 0.0405789201059157, 0.32680891711442245, 0.09997811004342068, 0.01722963775197665, -0.05059733508997375, -0.028492114573184932, -0.02884906436762928, -0.07800929185136088, 0.18939421691798738, 0.42740581100363106, 0.21931085241071524, 0.3981344979755314, -0.4914757173419708, -0.2539868376528223, 0.08397184546282958, 0.19800570475802357, 0.1192251946486067, -0.035851281710035564, -0.3981114183552563, 0.14762221847749538, -0.2338956730950269, -0.1770879812483188, -0.13829320849895121, -0.021102919182296665, 0.012700787419730443, -0.20156833492399615, -0.07447428588888474, 0.031046968263884384, 0.042370469630917625, -0.02145634767865496, -0.012719301573399986, 0.06702547173647742, 0.1255041390215324, 0.05480043943195293, -0.00952400518248656, 0.1794502434897281, -0.109354074769986, -0.20337285200089572, 0.3728496179794006, 0.07303265106193499, -0.1671814442434836, 0.1960594095844066, 0.05938785927026488, -0.2750645663334234, 0.045925999886267596, 0.31637251396508265, 0.043409541404495634, -0.260778008228434, 0.0013557272766428511, 0.16240894505088882, 0.18602748428626606, 0.012044256314679626, 0.08253882165947635, 0.27177921985276043, 0.21575835293818577, 0.15592444038927733, 0.15063456371509737, -0.050895333667063995, -0.09413880562143666, -0.19981682187755637, -0.14402986775773266, -0.0859567331139087, -0.01792953079400052, 0.022267732198954383, -0.09409116237379965, 0.38421366632073406, 0.3049352975296123, 0.15555745940322854, 0.024482565816946418, 0.4318813722846763, 0.0017061159503230425, 0.1032283868657292, 0.08729402875039904, 0.18239949224793928, 0.011418738556260775, 0.22586784666470652, -0.12631879021535583, 0.13056133094886763, -0.06219590150673563] |
1,802.02361 | Stability and Carrier Transport Properties of Phosphorene Based
Polymorphic Nanoribbons | A few-layer black phosphorene has recently gained significant interest in the
scientific community. In this paper, we consider several polymorphs of
phosphorene nanoribbons (PNRs) and employ deformation potential theory within
the effective mass approximation together with density functional theory to
investigate their structural, mechanical and electronic properties. The results
show that stability of PNRs strongly depends on the direction along which they
can be cut from 2D counterpart. PNRs also exhibit a wide range of line
stiffness ranging from 6x10^10 eV/m to 18x10^11 eV/m which has little
dependence on the edge passivation. Likewise, the calculated electronic
properties of PNRs display them to be either narrow-gap semiconductor (Eg < 1
eV) or wide-gap semiconductor (Eg > 1 eV). The carrier mobility of PNRs is
found to be comparable to that of the black phosphorene. Some of the PNRs show
n-type (p-type) semiconducting character owing to their higher electron (hole)
mobility. Passivation of the edges leads to n-type <-> p-type transition in
many of the PNRs considered. The predicted novel characteristics of PNRs with a
wide range of mechanical and electronic properties make PNRs to be potentially
suitable for the use in nanoscale devices.
| cond-mat.mtrl-sci | a fewlayer black phosphorene has recently gained significant interest in the scientific community in this paper we consider several polymorphs of phosphorene nanoribbons pnrs and employ deformation potential theory within the effective mass approximation together with density functional theory to investigate their structural mechanical and electronic properties the results show that stability of pnrs strongly depends on the direction along which they can be cut from 2d counterpart pnrs also exhibit a wide range of line stiffness ranging from 6x1010 evm to 18x1011 evm which has little dependence on the edge passivation likewise the calculated electronic properties of pnrs display them to be either narrowgap semiconductor eg 1 ev or widegap semiconductor eg 1 ev the carrier mobility of pnrs is found to be comparable to that of the black phosphorene some of the pnrs show ntype ptype semiconducting character owing to their higher electron hole mobility passivation of the edges leads to ntype ptype transition in many of the pnrs considered the predicted novel characteristics of pnrs with a wide range of mechanical and electronic properties make pnrs to be potentially suitable for the use in nanoscale devices | [['a', 'fewlayer', 'black', 'phosphorene', 'has', 'recently', 'gained', 'significant', 'interest', 'in', 'the', 'scientific', 'community', 'in', 'this', 'paper', 'we', 'consider', 'several', 'polymorphs', 'of', 'phosphorene', 'nanoribbons', 'pnrs', 'and', 'employ', 'deformation', 'potential', 'theory', 'within', 'the', 'effective', 'mass', 'approximation', 'together', 'with', 'density', 'functional', 'theory', 'to', 'investigate', 'their', 'structural', 'mechanical', 'and', 'electronic', 'properties', 'the', 'results', 'show', 'that', 'stability', 'of', 'pnrs', 'strongly', 'depends', 'on', 'the', 'direction', 'along', 'which', 'they', 'can', 'be', 'cut', 'from', '2d', 'counterpart', 'pnrs', 'also', 'exhibit', 'a', 'wide', 'range', 'of', 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1,802.02362 | Scaling limits of general population processes - Wright-Fisher and
branching processes in random environment | Our motivation comes from the large population approximation of individual
based models in population dynamics and population genetics. We propose a
general method to investigate scaling limits of finite dimensional population
size Markov chains to diffusion with jumps. The statements of tightness,
identification and convergence in law are based on the convergence of suitable
characteristics of the transition of the chain and strongly exploit the
structure of the population processes defined recursively as sums of
independent random variables. These results allow to reduce the convergence of
characteristics of semimartingales to analytically tractable functional spaces.
We develop two main applications. First, we extend the classical Wright-Fisher
diffusion approximation to independent and identically distributed random
environment. Second, we obtain the convergence in law of generalized
Galton-Watson processes with interactions and random environment to the
solution of stochastic differential equations with jumps.
| math.PR | our motivation comes from the large population approximation of individual based models in population dynamics and population genetics we propose a general method to investigate scaling limits of finite dimensional population size markov chains to diffusion with jumps the statements of tightness identification and convergence in law are based on the convergence of suitable characteristics of the transition of the chain and strongly exploit the structure of the population processes defined recursively as sums of independent random variables these results allow to reduce the convergence of characteristics of semimartingales to analytically tractable functional spaces we develop two main applications first we extend the classical wrightfisher diffusion approximation to independent and identically distributed random environment second we obtain the convergence in law of generalized galtonwatson processes with interactions and random environment to the solution of stochastic differential equations with jumps | [['our', 'motivation', 'comes', 'from', 'the', 'large', 'population', 'approximation', 'of', 'individual', 'based', 'models', 'in', 'population', 'dynamics', 'and', 'population', 'genetics', 'we', 'propose', 'a', 'general', 'method', 'to', 'investigate', 'scaling', 'limits', 'of', 'finite', 'dimensional', 'population', 'size', 'markov', 'chains', 'to', 'diffusion', 'with', 'jumps', 'the', 'statements', 'of', 'tightness', 'identification', 'and', 'convergence', 'in', 'law', 'are', 'based', 'on', 'the', 'convergence', 'of', 'suitable', 'characteristics', 'of', 'the', 'transition', 'of', 'the', 'chain', 'and', 'strongly', 'exploit', 'the', 'structure', 'of', 'the', 'population', 'processes', 'defined', 'recursively', 'as', 'sums', 'of', 'independent', 'random', 'variables', 'these', 'results', 'allow', 'to', 'reduce', 'the', 'convergence', 'of', 'characteristics', 'of', 'semimartingales', 'to', 'analytically', 'tractable', 'functional', 'spaces', 'we', 'develop', 'two', 'main', 'applications', 'first', 'we', 'extend', 'the', 'classical', 'wrightfisher', 'diffusion', 'approximation', 'to', 'independent', 'and', 'identically', 'distributed', 'random', 'environment', 'second', 'we', 'obtain', 'the', 'convergence', 'in', 'law', 'of', 'generalized', 'galtonwatson', 'processes', 'with', 'interactions', 'and', 'random', 'environment', 'to', 'the', 'solution', 'of', 'stochastic', 'differential', 'equations', 'with', 'jumps']] | [-0.0831799949016824, 0.10333453513440682, -0.08912898657262232, 0.08407765884361089, -0.06172936410381854, -0.10826844408129938, 0.08725256339157764, 0.35015099741545297, -0.32275573654676515, -0.24812349329347447, 0.11771268053683821, -0.24953660524949406, -0.12542618651499154, 0.14811646078023122, -0.05455849353197238, 0.0740077843882894, 0.020455398258465013, -0.021929117397023298, -0.006082242244197953, -0.26236806871376184, 0.32273510264537614, 0.015665041613593538, 0.28275330954318423, -0.04232711050485214, 0.13732524188034398, 0.024012808754986566, -0.044637061132908724, 0.0038824184134388143, -0.14428695484245424, 0.13291130316772048, 0.21907814078924615, 0.10405680808318668, 0.3001517442091897, -0.4271192246739813, -0.18934438016480035, 0.11135670120104237, 0.16562907503923677, 0.1161732510831073, -0.026177358053952937, -0.28126003360878277, 0.04351155199412015, -0.14233892637124057, -0.16687204146744322, -0.07797815906312719, -0.0072504794057592645, 0.15408075380929673, -0.29952771220525404, 0.11021520409116642, 0.10270828449354916, 0.03025278833312847, -0.054898875386943276, -0.11611671956078477, 0.018564271839442762, 0.1486176354911098, 0.06589576150650278, -0.07872388396820844, 0.1477099706237908, -0.061843900878341254, -0.15004144809979328, 0.32665721190383107, -0.1077939709774118, -0.22618978561686098, 0.21872583664484696, -0.20032407164493268, -0.1933431613037912, 0.12217436718801372, 0.23455036550143854, 0.13998857741430484, -0.19883064735427888, 0.11352603315005562, 0.008431129532752277, 0.12015004175976454, -0.017612926115904995, 0.0186981663376716, 0.11369656349981216, 0.18926794793818602, 0.08852878402543368, 0.1592013946208406, -0.03540800090899302, -0.2063611304071705, -0.2839177512637467, -0.12984529812317744, -0.1753581350186853, 0.08969076602257413, -0.16643536140714696, -0.2317203422154052, 0.34735172424840627, 0.18801189537253718, 0.17709768321968133, 0.16055916337524173, 0.23008762822375908, 0.16860475880596384, -0.018587740178374078, 0.06409164989809338, 0.12467968380145675, 0.23281621642698863, 0.07236201770054243, -0.19724982759179113, 0.11987269537442986, 0.09146967390217155] |
1,802.02363 | Non-linear eigenvalue problems with GetDP and SLEPc: Eigenmode
computations of frequency-dispersive photonic open structures | We present a framework to solve non-linear eigenvalue problems suitable for a
Finite Element discretization. The implementation is based on the open-source
finite element software GetDP and the open-source library SLEPc. As template
examples, we propose and compare in detail different ways to address the
numerical computation of the electromagnetic modes of frequency-dispersive
objects. This is a non-linear eigenvalue problem involving a non-Hermitian
operator. A classical finite element formulation is derived for five different
solutions and solved using algorithms adapted to the large size of the
resulting discrete problem. The proposed solutions are applied to the
computation of the dispersion relation of a diffraction grating made of a Drude
material. The important numerical consequences linked to the presence of sharp
corners and sign-changing coefficients are carefully examined. For each method,
the convergence of the eigenvalues with respect to the mesh refinement and the
shape function order, as well as computation time and memory requirements are
investigated. The open-source template model used to obtain the numerical
results is provided. Details of the implementation of polynomial and rational
eigenvalue problems in GetDP are given in appendix.
| physics.comp-ph | we present a framework to solve nonlinear eigenvalue problems suitable for a finite element discretization the implementation is based on the opensource finite element software getdp and the opensource library slepc as template examples we propose and compare in detail different ways to address the numerical computation of the electromagnetic modes of frequencydispersive objects this is a nonlinear eigenvalue problem involving a nonhermitian operator a classical finite element formulation is derived for five different solutions and solved using algorithms adapted to the large size of the resulting discrete problem the proposed solutions are applied to the computation of the dispersion relation of a diffraction grating made of a drude material the important numerical consequences linked to the presence of sharp corners and signchanging coefficients are carefully examined for each method the convergence of the eigenvalues with respect to the mesh refinement and the shape function order as well as computation time and memory requirements are investigated the opensource template model used to obtain the numerical results is provided details of the implementation of polynomial and rational eigenvalue problems in getdp are given in appendix | [['we', 'present', 'a', 'framework', 'to', 'solve', 'nonlinear', 'eigenvalue', 'problems', 'suitable', 'for', 'a', 'finite', 'element', 'discretization', 'the', 'implementation', 'is', 'based', 'on', 'the', 'opensource', 'finite', 'element', 'software', 'getdp', 'and', 'the', 'opensource', 'library', 'slepc', 'as', 'template', 'examples', 'we', 'propose', 'and', 'compare', 'in', 'detail', 'different', 'ways', 'to', 'address', 'the', 'numerical', 'computation', 'of', 'the', 'electromagnetic', 'modes', 'of', 'frequencydispersive', 'objects', 'this', 'is', 'a', 'nonlinear', 'eigenvalue', 'problem', 'involving', 'a', 'nonhermitian', 'operator', 'a', 'classical', 'finite', 'element', 'formulation', 'is', 'derived', 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1,802.02364 | Entrainment and mixing in gravity currents using simultaneous
velocity-density measurements | Gravity currents modify their flow characteristics by entraining ambient
fluid, which depends on a variety of governing parameters such as the initial
density, $\Delta \rho$, the total initial height of the fluid, $H$, and the
slope of the terrain, $\alpha$, from where it is released. Depending on these
parameters, the gravity current may be designated as sub-critical, critical, or
super-critical. It is imperative to study the entrainment dynamics of a gravity
current in order to have a clear understanding of mixing transitions that
govern the flow physics, the shear layer thickness, $\delta_{u}$, and the
mixing layer thickness, $\delta_{\rho}$. Experiments were conducted in a
lock-exchange facility in which the dense fluid was separated from the ambient
lighter fluid using a gate. As the gate is released instantaneously, an energy
conserving gravity current is formed, for which the only governing parameter is
the Reynolds number defined as $Re=\frac{Uh}{\nu}$, where $U$ is the front
velocity of the gravity current, and $h$ is the height of the current. In our
study, the bulk Richardson number, $Ri_{b}$=$\frac{g^{'}H}{U_{b}^{2}}$=1, takes
a constant value for all the experiments, with $U_{b}$ being the bulk velocity
of the layer defined as $U_{b}$=$\sqrt{g^{'}H}$. Simultaneous Particle Image
Velocimetry (PIV) and Planar Laser Induced Fluorescence (PLIF) measurement
techniques are employed to get the velocity and density statistics. A
flux-based method is used to calculate the entrainment coefficient, E$_{F}$,
for a Reynolds number range of $Re\approx$400-13000 used in our experiments.
The result shows a mixing transition at $Re\approx$2700 that is attributed to
the flow transitioning from weak Holmboe waves to Kelvin-Helmholtz type
instabilities.
| physics.flu-dyn | gravity currents modify their flow characteristics by entraining ambient fluid which depends on a variety of governing parameters such as the initial density delta rho the total initial height of the fluid h and the slope of the terrain alpha from where it is released depending on these parameters the gravity current may be designated as subcritical critical or supercritical it is imperative to study the entrainment dynamics of a gravity current in order to have a clear understanding of mixing transitions that govern the flow physics the shear layer thickness delta_u and the mixing layer thickness delta_rho experiments were conducted in a lockexchange facility in which the dense fluid was separated from the ambient lighter fluid using a gate as the gate is released instantaneously an energy conserving gravity current is formed for which the only governing parameter is the reynolds number defined as refracuhnu where u is the front velocity of the gravity current and h is the height of the current in our study the bulk richardson number ri_bfracghu_b21 takes a constant value for all the experiments with u_b being the bulk velocity of the layer defined as u_bsqrtgh simultaneous particle image velocimetry piv and planar laser induced fluorescence plif measurement techniques are employed to get the velocity and density statistics a fluxbased method is used to calculate the entrainment coefficient e_f for a reynolds number range of reapprox40013000 used in our experiments the result shows a mixing transition at reapprox2700 that is attributed to the flow transitioning from weak holmboe waves to kelvinhelmholtz type instabilities | [['gravity', 'currents', 'modify', 'their', 'flow', 'characteristics', 'by', 'entraining', 'ambient', 'fluid', 'which', 'depends', 'on', 'a', 'variety', 'of', 'governing', 'parameters', 'such', 'as', 'the', 'initial', 'density', 'delta', 'rho', 'the', 'total', 'initial', 'height', 'of', 'the', 'fluid', 'h', 'and', 'the', 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1,802.02365 | Classification of traveling waves for a quadratic Szeg{\"o} equation | We give a complete classification of the traveling waves of the following
quadratic Szeg{\"o} equation : $i \partial\_t u = 2J\Pi(|u|^2)+\bar{J}u^2,
\quad u(0, \cdot)=u\_0$, and we show that they are given by two families of
rational functions, one of which is generated by a stable ground state. We
prove that the other branch is orbitally unstable.
| math.AP | we give a complete classification of the traveling waves of the following quadratic szego equation i partial_t u 2jpiu2barju2 quad u0 cdotu_0 and we show that they are given by two families of rational functions one of which is generated by a stable ground state we prove that the other branch is orbitally unstable | [['we', 'give', 'a', 'complete', 'classification', 'of', 'the', 'traveling', 'waves', 'of', 'the', 'following', 'quadratic', 'szego', 'equation', 'i', 'partial_t', 'u', '2jpiu2barju2', 'quad', 'u0', 'cdotu_0', 'and', 'we', 'show', 'that', 'they', 'are', 'given', 'by', 'two', 'families', 'of', 'rational', 'functions', 'one', 'of', 'which', 'is', 'generated', 'by', 'a', 'stable', 'ground', 'state', 'we', 'prove', 'that', 'the', 'other', 'branch', 'is', 'orbitally', 'unstable']] | [-0.238123445443947, 0.1180693528149277, -0.044044865364277805, 0.0436717662141072, -0.08486545277345511, -0.16690780972647998, -0.024717902764678, 0.3230564278308992, -0.31949707186517856, -0.1381384702614957, 0.1234626042984288, -0.37704079294646226, -0.13870655084718708, 0.18009789515700605, -0.001437918490005864, 0.028355477515746047, 0.07877999433764706, 0.05714046030684754, -0.050136355758661884, -0.24979127232951145, 0.4149545910595744, -0.16912040178215615, 0.1846385006102975, 0.017909599088684277, 0.11247419656461312, -0.03152482946299844, 0.08297287736570945, -0.02493884216097218, -0.2024729993914931, 0.07436313508595857, 0.22236362116894237, 0.11274928118843862, 0.28627038787602, -0.4076025493580986, -0.16762070116561112, 0.16191766878452013, 0.14394466625526547, 0.08408162562409416, -0.031963854672977944, -0.3195802632167383, 0.10858868627541664, -0.09454864392022568, -0.18078061988732466, -0.06833470167799129, 0.06416784848638431, 0.11838721435655046, -0.2847918741818931, 0.09403556944043548, 0.13179451732301256, -0.02781612480369707, -0.1115787111705652, -0.14327796955627423, -0.10855550340514768, 0.04710941708267287, 0.009120329550501925, 0.08749640754562009, -0.025284211496236147, -0.12774682049510172, -0.05025691823619935, 0.3550826758836155, -0.10335878010287329, -0.2162915045671441, 0.1260053841655867, -0.15286152085496318, -0.12697158985840226, 0.1031505085217456, 0.10789062942085029, 0.16861436046935893, -0.07977522666462594, 0.13535818339355668, -0.0938867082370928, 0.1284033797327774, 0.10327103098474995, -0.03191837862444421, 0.11328728327148214, 0.09222397936025152, 0.11053835535939369, 0.14252523858966823, -0.022434606044380752, -0.060433558041781736, -0.33523267611895724, -0.1112818661990955, -0.10840249766112754, 0.1206493762524419, -0.012047105136540873, -0.19840785602314603, 0.40060190156240155, 0.06984294631035516, 0.18912318555845153, 0.041766072763561236, 0.19964112458681618, 0.18435267393511753, -0.05385911456067805, 0.11731870348901591, 0.19224142966171107, 0.08221547995452527, 0.04726102604979166, -0.2085087948858186, -0.01303516735033891, 0.13947248772752505] |
1,802.02366 | Same-sign WW scattering at the LHC: can we discover BSM effects before
discovering new states? | It is possible that measurements of vector boson scattering (VBS) at the LHC
will reveal disagreement with Standard Model predictions, but no new particles
will be observed directly. The task is then to learn as much as possible about
the new physics from a VBS analysis carried within the framework of the
Effective Field Theory (EFT). In this paper we discuss issues related to the
correct usage of the EFT when the WW invariant mass is not directly accessible
experimentally, as in purely leptonic W decay channels. The strategies for
future data analyses in case such scenario indeed occurs are proposed.
| hep-ph | it is possible that measurements of vector boson scattering vbs at the lhc will reveal disagreement with standard model predictions but no new particles will be observed directly the task is then to learn as much as possible about the new physics from a vbs analysis carried within the framework of the effective field theory eft in this paper we discuss issues related to the correct usage of the eft when the ww invariant mass is not directly accessible experimentally as in purely leptonic w decay channels the strategies for future data analyses in case such scenario indeed occurs are proposed | [['it', 'is', 'possible', 'that', 'measurements', 'of', 'vector', 'boson', 'scattering', 'vbs', 'at', 'the', 'lhc', 'will', 'reveal', 'disagreement', 'with', 'standard', 'model', 'predictions', 'but', 'no', 'new', 'particles', 'will', 'be', 'observed', 'directly', 'the', 'task', 'is', 'then', 'to', 'learn', 'as', 'much', 'as', 'possible', 'about', 'the', 'new', 'physics', 'from', 'a', 'vbs', 'analysis', 'carried', 'within', 'the', 'framework', 'of', 'the', 'effective', 'field', 'theory', 'eft', 'in', 'this', 'paper', 'we', 'discuss', 'issues', 'related', 'to', 'the', 'correct', 'usage', 'of', 'the', 'eft', 'when', 'the', 'ww', 'invariant', 'mass', 'is', 'not', 'directly', 'accessible', 'experimentally', 'as', 'in', 'purely', 'leptonic', 'w', 'decay', 'channels', 'the', 'strategies', 'for', 'future', 'data', 'analyses', 'in', 'case', 'such', 'scenario', 'indeed', 'occurs', 'are', 'proposed']] | [-0.055320943210108005, 0.1832875413543517, -0.09803396486907755, 0.15008120482446313, -0.10364539582411399, -0.1717543937773029, 0.047089538979574595, 0.35710954874532647, -0.2797739388384294, -0.29023131821765613, 0.07598978239872337, -0.28301909872063313, -0.11900489211386751, 0.1665045069599764, 0.02051981605156002, 0.06749603870131149, 0.0757863163938838, 0.05891512844038408, -0.06665427543310504, -0.2415251916537083, 0.28920464166486176, 0.09844209160425212, 0.2570358743928004, 0.0916033485295749, 0.02576219829117492, 0.023772577349428493, -0.04645201230956481, -0.0276767857520297, -0.13290339857024328, 0.06964978998028996, 0.2785802142888234, 0.13053968618393386, 0.18066883467986147, -0.3816881251549072, -0.19386760795507396, 0.11692351210714862, 0.16747946802545155, 0.13587240756277252, -0.03469996271415217, -0.28843263567812594, 0.09740238653041773, -0.19433284365562814, -0.12552533460098622, -0.10129482917589053, -0.012056002258507554, -0.10192405340483061, -0.2852308054657487, 0.07317842329975614, 0.00349640589908208, 0.013600086120169351, -0.025445807245698306, -0.1290835300552668, -0.019738284552857133, 0.066758335663967, 0.124885814671294, 0.05658611620656482, 0.148082925594587, -0.1545255445197483, -0.174204198832596, 0.407401114849761, -0.06575606347034031, -0.1907808062030316, 0.1782801168565039, -0.1611819113973565, -0.15290088803129326, 0.1113453825179598, 0.18332380842933854, 0.07331417774836911, -0.17461472073651155, 0.09851501008846086, -0.05221739350495362, 0.16553226223971584, -0.0058152904332901285, 0.061019688603781756, 0.23946072797447737, 0.20648955604255126, 0.011221499938407157, 0.0761481933560831, -0.09335254256078733, -0.10250640449478374, -0.37971171133662807, -0.12036652153007465, -0.13857569695809985, -0.005368877240165026, -0.022633603520433206, -0.0679379484478193, 0.3520366312142941, 0.21815650881553936, 0.21050521997864, 0.01258256547106891, 0.29950201387821446, 0.08402379540413028, 0.08574327278771612, 0.022938722292178006, 0.3145215562129817, 0.11344422037150748, 0.12151929690032312, -0.1762192089774526, 0.05924816790617781, -0.007745345810077863] |
1,802.02367 | Catalytic membrane reactor model as a laboratory for pattern emergence
in reaction-diffusion-advection media | Reaction-diffusion-advection media on semi-infinite domains are important in
chemical, biological and ecological applications, yet remain a challenge for
pattern formation theory. To demonstrate the rich emergence of nonlinear
traveling waves and stationary periodic states, we review results obtained
using a membrane reactor as a case model. Such solutions coexist in overlapping
parameter regimes and their temporal stability is determined by the boundary
conditions (periodic vs. mixed) which either preserve or destroy the
translational symmetry, i.e., selection mechanisms under realistic Danckwerts
boundary conditions. A brief outlook is given at the end.
| nlin.PS physics.chem-ph | reactiondiffusionadvection media on semiinfinite domains are important in chemical biological and ecological applications yet remain a challenge for pattern formation theory to demonstrate the rich emergence of nonlinear traveling waves and stationary periodic states we review results obtained using a membrane reactor as a case model such solutions coexist in overlapping parameter regimes and their temporal stability is determined by the boundary conditions periodic vs mixed which either preserve or destroy the translational symmetry ie selection mechanisms under realistic danckwerts boundary conditions a brief outlook is given at the end | [['reactiondiffusionadvection', 'media', 'on', 'semiinfinite', 'domains', 'are', 'important', 'in', 'chemical', 'biological', 'and', 'ecological', 'applications', 'yet', 'remain', 'a', 'challenge', 'for', 'pattern', 'formation', 'theory', 'to', 'demonstrate', 'the', 'rich', 'emergence', 'of', 'nonlinear', 'traveling', 'waves', 'and', 'stationary', 'periodic', 'states', 'we', 'review', 'results', 'obtained', 'using', 'a', 'membrane', 'reactor', 'as', 'a', 'case', 'model', 'such', 'solutions', 'coexist', 'in', 'overlapping', 'parameter', 'regimes', 'and', 'their', 'temporal', 'stability', 'is', 'determined', 'by', 'the', 'boundary', 'conditions', 'periodic', 'vs', 'mixed', 'which', 'either', 'preserve', 'or', 'destroy', 'the', 'translational', 'symmetry', 'ie', 'selection', 'mechanisms', 'under', 'realistic', 'danckwerts', 'boundary', 'conditions', 'a', 'brief', 'outlook', 'is', 'given', 'at', 'the', 'end']] | [-0.16411863555096917, 0.15882377544055795, -0.045183893212945095, 0.07085818530888194, -0.06713065833577679, -0.1649903889848954, 0.014271104888110939, 0.3670692338608205, -0.2730101335172852, -0.24148712639386455, 0.1681292552371613, -0.23284234174837667, -0.1792800560645345, 0.1464547676913854, -0.02948914553012906, 0.05915616054294838, 0.06391149436692811, -0.014755967337017258, -0.044744116466285455, -0.1703183431799213, 0.306055938002343, -0.02784782624286082, 0.33460124048093953, 0.0733743806337265, 0.08137968321340547, -0.041275781760406166, 0.005299805768299848, 0.023628237512376575, -0.17317609084873564, 0.029838141185205638, 0.24518980347913585, 0.062433763960790305, 0.26011128397141065, -0.5048324441330301, -0.2815729400246508, 0.0741040023121362, 0.13114123088307678, 0.14078855354519976, -0.07938303045229986, -0.3021459548604778, 0.05989154027257529, -0.10571379357877757, -0.19566833186998137, -0.055677631854390106, 0.009998630297680696, 0.03154420065434856, -0.2739197482044498, 0.11572981118741962, 0.04310338642551667, 0.09031030338050591, -0.14867895636707545, -0.05110442554578185, -0.04893902675507383, 0.11564246053134816, 0.020241863915645, -0.04638389697194927, 0.11980609095577771, -0.15935110518605344, -0.08486692858859897, 0.3986023762159877, -0.025238458258617254, -0.22441090557096888, 0.26365535415114005, -0.08860083549386925, -0.12236284661727646, 0.10426716937993964, 0.1766484584659338, 0.11153075327165425, -0.14560357676818966, 0.056372446251852025, -0.013216193576550319, 0.13937727689950002, 0.1359558817050937, 0.04518979767647882, 0.254969356322868, 0.21232427535578607, 0.09699136827710188, 0.12963789460611427, -0.010291960418948696, -0.14758492175282703, -0.29669921819327605, -0.0558994618917091, -0.09325856531245841, 0.02225868399772379, -0.0588709259219791, -0.2012347752124899, 0.3989385940341486, 0.09504097805668911, 0.17629685059396757, -0.02876795657988017, 0.22561721339718335, 0.07811064775903813, -0.011578008824855917, 0.02221374974275629, 0.1875103036252161, 0.12418166287114016, 0.12651448158236842, -0.23116663698003523, 0.08991564394932033, 0.03633704614605651] |
1,802.02368 | Group kernels for Gaussian process metamodels with categorical inputs | Gaussian processes (GP) are widely used as a metamodel for emulating
time-consuming computer codes. We focus on problems involving categorical
inputs, with a potentially large number L of levels (typically several tens),
partitioned in G << L groups of various sizes. Parsimonious covariance
functions, or kernels, can then be defined by block covariance matrices T with
constant covariances between pairs of blocks and within blocks. We study the
positive definiteness of such matrices to encourage their practical use. The
hierarchical group/level structure, equivalent to a nested Bayesian linear
model, provides a parameterization of valid block matrices T. The same model
can then be used when the assumption within blocks is relaxed, giving a
flexible parametric family of valid covariance matrices with constant
covariances between pairs of blocks. The positive definiteness of T is
equivalent to the positive definiteness of a smaller matrix of size G, obtained
by averaging each block. The model is applied to a problem in nuclear waste
analysis, where one of the categorical inputs is atomic number, which has more
than 90 levels.
| math.ST stat.ME stat.TH | gaussian processes gp are widely used as a metamodel for emulating timeconsuming computer codes we focus on problems involving categorical inputs with a potentially large number l of levels typically several tens partitioned in g l groups of various sizes parsimonious covariance functions or kernels can then be defined by block covariance matrices t with constant covariances between pairs of blocks and within blocks we study the positive definiteness of such matrices to encourage their practical use the hierarchical grouplevel structure equivalent to a nested bayesian linear model provides a parameterization of valid block matrices t the same model can then be used when the assumption within blocks is relaxed giving a flexible parametric family of valid covariance matrices with constant covariances between pairs of blocks the positive definiteness of t is equivalent to the positive definiteness of a smaller matrix of size g obtained by averaging each block the model is applied to a problem in nuclear waste analysis where one of the categorical inputs is atomic number which has more than 90 levels | [['gaussian', 'processes', 'gp', 'are', 'widely', 'used', 'as', 'a', 'metamodel', 'for', 'emulating', 'timeconsuming', 'computer', 'codes', 'we', 'focus', 'on', 'problems', 'involving', 'categorical', 'inputs', 'with', 'a', 'potentially', 'large', 'number', 'l', 'of', 'levels', 'typically', 'several', 'tens', 'partitioned', 'in', 'g', 'l', 'groups', 'of', 'various', 'sizes', 'parsimonious', 'covariance', 'functions', 'or', 'kernels', 'can', 'then', 'be', 'defined', 'by', 'block', 'covariance', 'matrices', 't', 'with', 'constant', 'covariances', 'between', 'pairs', 'of', 'blocks', 'and', 'within', 'blocks', 'we', 'study', 'the', 'positive', 'definiteness', 'of', 'such', 'matrices', 'to', 'encourage', 'their', 'practical', 'use', 'the', 'hierarchical', 'grouplevel', 'structure', 'equivalent', 'to', 'a', 'nested', 'bayesian', 'linear', 'model', 'provides', 'a', 'parameterization', 'of', 'valid', 'block', 'matrices', 't', 'the', 'same', 'model', 'can', 'then', 'be', 'used', 'when', 'the', 'assumption', 'within', 'blocks', 'is', 'relaxed', 'giving', 'a', 'flexible', 'parametric', 'family', 'of', 'valid', 'covariance', 'matrices', 'with', 'constant', 'covariances', 'between', 'pairs', 'of', 'blocks', 'the', 'positive', 'definiteness', 'of', 't', 'is', 'equivalent', 'to', 'the', 'positive', 'definiteness', 'of', 'a', 'smaller', 'matrix', 'of', 'size', 'g', 'obtained', 'by', 'averaging', 'each', 'block', 'the', 'model', 'is', 'applied', 'to', 'a', 'problem', 'in', 'nuclear', 'waste', 'analysis', 'where', 'one', 'of', 'the', 'categorical', 'inputs', 'is', 'atomic', 'number', 'which', 'has', 'more', 'than', '90', 'levels']] | [-0.09567621305252293, 0.10858002353459596, -0.027128882563806005, 0.09067184426156538, -0.06792580835122083, -0.18314896099535483, 0.034556715983365266, 0.37112598422914744, -0.3029658585361072, -0.2878558368501919, 0.11761266508671854, -0.22356654381296331, -0.11289254086491253, 0.15063197187014987, -0.02599776160770229, 0.0887469562834927, 0.04152347217180899, 0.03676283131752695, -0.11775774917698333, -0.2593842661873038, 0.30443315125336606, 0.05536728162052376, 0.24984478442763378, -0.03804644679650664, 0.11365434328360217, 0.022533958149807794, -0.037917554774986845, 0.016819789122257914, -0.061820725871782216, 0.1298097609096606, 0.29692094331873314, 0.15169977952060956, 0.3288264257793448, -0.41931463500750915, -0.18869031397027097, 0.16024788824974426, 0.11063513861037791, 0.07491578465527189, 0.025015904613620868, -0.24136507291479833, 0.11609854085104807, -0.1603461391023094, -0.06647332959941456, -0.06238512145754482, 0.030626270036612238, -0.00246389906188207, -0.36358981985499017, 0.07269018923597677, 0.06006473469947066, 0.04168511091465397, 0.011997673093075199, -0.1906647843814322, 0.011851202200965158, 0.11973342420350361, 0.0056885271366419535, -0.03424438210935997, 0.13643940406718424, -0.05428423361320581, -0.07457061999610493, 0.35648207094586853, -0.05651478935473798, -0.2805480736706938, 0.15621659820367184, -0.10191015092389924, -0.13387417606876365, 0.10195596705989114, 0.1977161245420575, 0.10849950212187001, -0.14701392155415047, 0.11682111582552482, -0.0742162603831717, 0.17901571302807756, 0.05360862111406667, 0.007755945556397949, 0.19208306881732173, 0.1351610183556165, 0.07851722383206444, 0.14489161058595137, -0.010876646487574491, -0.06482517321727106, -0.29225275636783665, -0.10952102891568627, -0.19617675101517568, 0.04551596321232085, -0.1569110912256708, -0.18931067563127726, 0.3797328287975064, 0.09890348119661212, 0.24310037479602864, 0.11365270031416523, 0.24162358200975828, 0.08036583847166705, 0.12885526863192873, 0.070307402264859, 0.093428468454097, 0.21367152389970476, -0.015869940128177405, -0.13217264661831515, 0.0850260495474296, 0.07058255393590246] |
1,802.02369 | Recovering the full Navier Stokes equations with lattice Boltzmann
schemes | We consider multi relaxation times lattice Boltzmann scheme with two particle
distributions for the thermal Navier Stokes equations formulated with
conservation of mass and momentum and dissipation of volumic entropy.Linear
stability is taken into consideration to determine a coupling between two
coefficients of dissipation.We present interesting numerical results for
one-dimensional strong nonlinear acoustic waves with shocks.
| math.NA physics.class-ph | we consider multi relaxation times lattice boltzmann scheme with two particle distributions for the thermal navier stokes equations formulated with conservation of mass and momentum and dissipation of volumic entropylinear stability is taken into consideration to determine a coupling between two coefficients of dissipationwe present interesting numerical results for onedimensional strong nonlinear acoustic waves with shocks | [['we', 'consider', 'multi', 'relaxation', 'times', 'lattice', 'boltzmann', 'scheme', 'with', 'two', 'particle', 'distributions', 'for', 'the', 'thermal', 'navier', 'stokes', 'equations', 'formulated', 'with', 'conservation', 'of', 'mass', 'and', 'momentum', 'and', 'dissipation', 'of', 'volumic', 'entropylinear', 'stability', 'is', 'taken', 'into', 'consideration', 'to', 'determine', 'a', 'coupling', 'between', 'two', 'coefficients', 'of', 'dissipationwe', 'present', 'interesting', 'numerical', 'results', 'for', 'onedimensional', 'strong', 'nonlinear', 'acoustic', 'waves', 'with', 'shocks']] | [-0.17820181652734227, 0.15142042502252892, -0.04662178588861769, 0.024091210569763048, -0.08258185662667859, -0.17470252101563594, -0.058806155634705315, 0.3198292610320178, -0.28253506950356744, -0.25673010451295836, 0.07365756955167109, -0.24575027916104195, -0.03213175577534871, 0.18725578623442826, 0.07026666189459237, 0.10240812921388583, 0.09026449180462144, -0.07775111259384589, -0.04716867295686494, -0.16453719721599058, 0.31802639350803064, 0.001975706753066995, 0.25681385027075354, 0.06779789190570062, 0.17631900318982927, 0.02582264832982963, -0.027855051613666793, 0.057881892019544134, -0.20203973063352434, 0.043578836385330014, 0.1830124177461998, -0.01222543509846384, 0.24674113811925052, -0.4861430484801531, -0.25453517667271874, 0.017975400997833773, 0.12180504555898634, 0.0888691633135419, -0.04554453951052644, -0.22790991667319427, 0.017017529942941936, -0.11787676826458085, -0.1383854267610745, -0.06891187583519653, 0.028165869143876164, 0.07329540587961673, -0.33956253345717086, 0.17848021774129433, 0.04195693350312385, 0.01053557927635583, -0.1579923910681497, -0.1177444649013606, -0.050403518483720045, 0.03899321573024446, 0.09967240320137617, -0.08075819768180902, 0.055598080067218024, -0.11203466890887781, -0.08001506329429421, 0.44797183248129757, -0.10337010514499112, -0.2780650269917466, 0.19269694601270285, -0.13653814149173824, -0.07604935897344893, 0.1613152775913477, 0.2165415894494138, 0.07315499684350057, -0.16106853562999857, 0.02371009557550265, -0.04406729033216834, 0.1288706670171285, 0.06027340055866675, 0.030464103267612782, 0.19637664504010569, 0.1462417122484608, 0.026927644014358522, 0.1579897023610432, -0.08014614364470948, -0.145738961039619, -0.3060150125825947, -0.13022574789144775, -0.15901040140200745, 0.0863731257786805, -0.1122518957671921, -0.14516496228223497, 0.348449712524135, 0.11470255142670463, 0.18915085039016874, 0.055772385390644726, 0.2758701461621306, 0.22347669005393983, -0.010949945382096551, 0.09198849481445821, 0.2518866844062524, 0.21591557006309317, 0.1293792048172856, -0.3261417078531601, -0.07078913757577539, 0.13493966738778082] |
1,802.0237 | Delone sets and dynamical systems | In these expository notes we focus on selected topics around the themes:
Delone sets as models for quasicrystals, inflation symmetries and expansion
constants, substitution Delone sets and tilings, and associated dynamical
systems.
| math.DS | in these expository notes we focus on selected topics around the themes delone sets as models for quasicrystals inflation symmetries and expansion constants substitution delone sets and tilings and associated dynamical systems | [['in', 'these', 'expository', 'notes', 'we', 'focus', 'on', 'selected', 'topics', 'around', 'the', 'themes', 'delone', 'sets', 'as', 'models', 'for', 'quasicrystals', 'inflation', 'symmetries', 'and', 'expansion', 'constants', 'substitution', 'delone', 'sets', 'and', 'tilings', 'and', 'associated', 'dynamical', 'systems']] | [-0.12837313261115924, 0.18166222886065952, -0.03478132394957356, 0.17804352287203074, -0.07816921512130648, -0.07872193064031308, 0.09572326304623857, 0.3442841377109289, -0.28444317425601184, -0.19748052628710866, 0.17777411950737587, -0.4265666523715481, -0.17951726785395294, 0.14425372958066873, -0.12954579635697883, 0.02360896160826087, 0.02455001446651295, -0.029910936951637268, -0.05603740009246394, -0.36605445976601914, 0.36780442629242316, 0.02424382761819288, 0.2428561519482173, -0.05028544779634103, 0.061058248043991625, -0.03746214970306028, -0.057788755832007155, 0.0029682235326617956, -0.2644933984192903, 0.1709975785925053, 0.29451640957779546, 0.10470310656091897, 0.20268191711511463, -0.3964257164625451, -0.1658842192555312, 0.061350641219178215, 0.1482840194075834, 0.06871192385733593, -0.042395117478008615, -0.2798011773993494, 0.00947716599330306, -0.046756258874665946, -0.12758528726408258, -0.1479191713151522, 0.07563689781818539, 0.06949411379173398, -0.15138259735249449, 0.042590401746565476, 0.11054911541123147, 0.24280949984677136, -0.11732598079834133, -0.14841209664882626, -0.02333542784617748, 0.01856699987547472, 0.06866815994726494, -0.036377371277922066, 0.11809786899539176, -0.0328743850113824, -0.22987685046973638, 0.46747643896378577, 0.05943629939065431, -0.17355976851831656, 0.20447628595866263, -0.11265187087701634, -0.2999600194161758, 0.0746492589241825, 0.2356056833814364, 0.0928034015087178, -0.16322231132653542, 0.15463257270494069, 0.008319559879510052, 0.1413749500643462, 0.15768304001539946, 0.08050224359612912, 0.31150453840382397, 0.10325353893858846, -0.04053739251685329, 0.11584691947791725, 0.08661833641781413, -0.12462754180887714, -0.3491127887973562, 0.016816455710795708, -0.14539170230273157, -0.0074314463417977095, -0.08815750296207625, -0.2287908547441475, 0.36462196754291654, 0.13745010169805028, 0.1522033592336811, -0.029563403259089682, 0.09731549362186342, -0.017575084060808877, 0.04285055014770478, -0.007582404854474589, 0.034374758281046525, 0.15607314568478614, 0.07104004008579068, -0.08647513843607157, -0.054593382752500474, 0.2376104512368329] |
1,802.02371 | Activity induced synchronization: From Mutual Flocking to Chiral
Self-Sorting | Synchronization, the temporal coordination of coupled oscillators, allows
fireflies to flash in unison, neurons to fire collectively and human crowds to
fall in step on the London Millenium bridge. Here, we interpret active (or
self-propelled) chiral microswimmers with a distribution of intrinsic
frequencies as motile oscillators and show that they can synchronize over very
large distances, even for local coupling in 2D. This opposes to canonical
non-active oscillators on static or time-dependent networks, leading to
synchronized domains only. A consequence of this activity-induced
synchronization is the emergence of a `mutual flocking phase', where particles
of opposite chirality cooperate to form superimposed flocks moving at a
relative angle to each other, providing a chiral active matter analogue to the
celebrated Toner-Tu phase. The underlying mechanism employs a positive feedback
loop involving the two-way coupling between oscillators' phase and
self-propulsion, and could be exploited as a design principle for synthetic
active materials and chiral self-sorting techniques
| cond-mat.stat-mech cond-mat.soft nlin.AO | synchronization the temporal coordination of coupled oscillators allows fireflies to flash in unison neurons to fire collectively and human crowds to fall in step on the london millenium bridge here we interpret active or selfpropelled chiral microswimmers with a distribution of intrinsic frequencies as motile oscillators and show that they can synchronize over very large distances even for local coupling in 2d this opposes to canonical nonactive oscillators on static or timedependent networks leading to synchronized domains only a consequence of this activityinduced synchronization is the emergence of a mutual flocking phase where particles of opposite chirality cooperate to form superimposed flocks moving at a relative angle to each other providing a chiral active matter analogue to the celebrated tonertu phase the underlying mechanism employs a positive feedback loop involving the twoway coupling between oscillators phase and selfpropulsion and could be exploited as a design principle for synthetic active materials and chiral selfsorting techniques | [['synchronization', 'the', 'temporal', 'coordination', 'of', 'coupled', 'oscillators', 'allows', 'fireflies', 'to', 'flash', 'in', 'unison', 'neurons', 'to', 'fire', 'collectively', 'and', 'human', 'crowds', 'to', 'fall', 'in', 'step', 'on', 'the', 'london', 'millenium', 'bridge', 'here', 'we', 'interpret', 'active', 'or', 'selfpropelled', 'chiral', 'microswimmers', 'with', 'a', 'distribution', 'of', 'intrinsic', 'frequencies', 'as', 'motile', 'oscillators', 'and', 'show', 'that', 'they', 'can', 'synchronize', 'over', 'very', 'large', 'distances', 'even', 'for', 'local', 'coupling', 'in', '2d', 'this', 'opposes', 'to', 'canonical', 'nonactive', 'oscillators', 'on', 'static', 'or', 'timedependent', 'networks', 'leading', 'to', 'synchronized', 'domains', 'only', 'a', 'consequence', 'of', 'this', 'activityinduced', 'synchronization', 'is', 'the', 'emergence', 'of', 'a', 'mutual', 'flocking', 'phase', 'where', 'particles', 'of', 'opposite', 'chirality', 'cooperate', 'to', 'form', 'superimposed', 'flocks', 'moving', 'at', 'a', 'relative', 'angle', 'to', 'each', 'other', 'providing', 'a', 'chiral', 'active', 'matter', 'analogue', 'to', 'the', 'celebrated', 'tonertu', 'phase', 'the', 'underlying', 'mechanism', 'employs', 'a', 'positive', 'feedback', 'loop', 'involving', 'the', 'twoway', 'coupling', 'between', 'oscillators', 'phase', 'and', 'selfpropulsion', 'and', 'could', 'be', 'exploited', 'as', 'a', 'design', 'principle', 'for', 'synthetic', 'active', 'materials', 'and', 'chiral', 'selfsorting', 'techniques']] | [-0.18978394862482106, 0.23124844706073017, -0.06845063262758172, 0.02820880319726617, -0.10918601557866416, -0.19820432562393125, 0.07575572000165597, 0.3849204303152472, -0.24750602617255085, -0.2916883836793653, 0.014723716751980753, -0.25745339062854466, -0.2036406688691516, 0.13045165887066199, -0.06372675271523366, -0.012437297134091715, -0.012054531913637728, 0.04145422685655535, 0.031186803645460396, -0.14313698921378326, 0.22703244163678934, 0.012132998932358603, 0.28527512904196106, -0.027843164458459656, 0.14341329158489385, -0.033263276703050966, 0.05214569076605431, 0.04013505786152363, -0.08300003198274243, 0.07818197692947026, 0.2488115925535366, -0.003782410684870193, 0.26584058253445314, -0.4793415792020304, -0.22604342724133114, 0.13574636292147946, 0.18017037271812267, 0.16404041032119376, -0.036438194162502595, -0.30348291592188664, 0.01719422861977175, -0.16925520644154302, -0.13145107293332164, -0.07087065274343378, 0.016022145878160737, 0.07774173976927809, -0.2803703620908903, 0.07876910370556856, 0.06115636116156601, 0.07960555303460834, -0.0481677616560112, -0.01780819170352362, -0.034435285196349315, 0.18074346659705043, 0.016960357900938722, -0.008019553700782504, 0.1858441051996809, -0.13248957314093102, -0.12783211385286958, 0.38576595436830025, -0.04315473916679591, -0.17959614927644613, 0.2621172453343336, -0.09735885098392852, -0.08452781637398792, 0.09820978082081472, 0.2324061025638593, 0.06035885408742946, -0.12814425179498973, -0.03594003135962835, -0.00577461410483176, 0.18598721937847917, 0.07558719176865582, 0.012340721414218863, 0.2548932649267765, 0.18931289833544016, 0.09347945873250628, 0.12838819762654058, -0.07151522965763103, -0.16574809585951947, -0.23643246744819857, -0.10283874264047421, -0.18073272068271196, 0.04483780154184281, -0.0927729172379424, -0.17160037993574395, 0.361474865438211, 0.11745165305532661, 0.1797200253565173, 0.04997546979310838, 0.28561980079393834, 0.021872863060093256, 0.09039379751563749, 0.037225550793522556, 0.27248442773299003, 0.1600926516595744, 0.1497751150980241, -0.2641904867222448, 0.03841527128991272, 0.0627676590010161] |
1,802.02372 | The First Physics Picture of Contractions from a Fundamental Quantum
Relativity Symmetry Including all Known Relativity Symmetries, Classical and
Quantum | In this article, we utilize the insights gleaned from our recent formulation
of space(-time), as well as dynamical picture of quantum mechanics and its
classical approximation, from the relativity symmetry perspective in order to
push further into the realm of the proposed fundamental relativity symmetry
$SO(2,4)$ of our quantum relativity project. We explicitly trace how the
diverse actors in this story change through various contraction limits, paying
careful attention to the relevant physical units, in order to place all known
relativity theories -- quantum and classical -- within a single framework. More
specifically, we explore both of the possible contractions of $SO(2,4)$ and its
coset spaces in order to determine how best to recover the lower-level
theories. These include both new models and all familiar theories, as well as
quantum and classical dynamics with and without Einsteinian special relativity.
Along the way, we also find connections with covariant quantum mechanics. The
emphasis of this article rests on the ability of this language to not only
encompass all known physical theories, but to also provide a path for
extensions. It will serve as the basic background for more detailed
formulations of the dynamical theories at each level, as well as the exact
connections amongst them.
| hep-th | in this article we utilize the insights gleaned from our recent formulation of spacetime as well as dynamical picture of quantum mechanics and its classical approximation from the relativity symmetry perspective in order to push further into the realm of the proposed fundamental relativity symmetry so24 of our quantum relativity project we explicitly trace how the diverse actors in this story change through various contraction limits paying careful attention to the relevant physical units in order to place all known relativity theories quantum and classical within a single framework more specifically we explore both of the possible contractions of so24 and its coset spaces in order to determine how best to recover the lowerlevel theories these include both new models and all familiar theories as well as quantum and classical dynamics with and without einsteinian special relativity along the way we also find connections with covariant quantum mechanics the emphasis of this article rests on the ability of this language to not only encompass all known physical theories but to also provide a path for extensions it will serve as the basic background for more detailed formulations of the dynamical theories at each level as well as the exact connections amongst them | [['in', 'this', 'article', 'we', 'utilize', 'the', 'insights', 'gleaned', 'from', 'our', 'recent', 'formulation', 'of', 'spacetime', 'as', 'well', 'as', 'dynamical', 'picture', 'of', 'quantum', 'mechanics', 'and', 'its', 'classical', 'approximation', 'from', 'the', 'relativity', 'symmetry', 'perspective', 'in', 'order', 'to', 'push', 'further', 'into', 'the', 'realm', 'of', 'the', 'proposed', 'fundamental', 'relativity', 'symmetry', 'so24', 'of', 'our', 'quantum', 'relativity', 'project', 'we', 'explicitly', 'trace', 'how', 'the', 'diverse', 'actors', 'in', 'this', 'story', 'change', 'through', 'various', 'contraction', 'limits', 'paying', 'careful', 'attention', 'to', 'the', 'relevant', 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1,802.02373 | xGASS: Total cold gas scaling relations and molecular-to-atomic gas
ratios of galaxies in the local Universe | We present the extended GALEX Arecibo SDSS Survey (xGASS), a gas
fraction-limited census of the atomic (HI) gas content of 1179 galaxies
selected only by stellar mass ($M_\star =10^{9}-10^{11.5} M_\odot$) and
redshift ($0.01<z<0.05$). This includes new Arecibo observations of 208
galaxies, for which we release catalogs and HI spectra. In addition to
extending the GASS HI scaling relations by one decade in stellar mass, we
quantify total (atomic+molecular) cold gas fractions and molecular-to-atomic
gas mass ratios, $R_{mol}$, for the subset of 477 galaxies observed with the
IRAM 30 m telescope. We find that atomic gas fractions keep increasing with
decreasing stellar mass, with no sign of a plateau down to $\log
M_\star/M_\odot = 9$. Total gas reservoirs remain HI-dominated across our full
stellar mass range, hence total gas fraction scaling relations closely resemble
atomic ones, but with a scatter that strongly correlates with $R_{mol}$,
especially at fixed specific star formation rate. On average, $R_{mol}$ weakly
increases with stellar mass and stellar surface density $\mu_\star$, but
individual values vary by almost two orders of magnitude at fixed $M_\star$ or
$\mu_\star$. We show that, for galaxies on the star-forming sequence,
variations of $R_{mol}$ are mostly driven by changes of the HI reservoirs, with
a clear dependence on $\mu_\star$. Establishing if galaxy mass or structure
plays the most important role in regulating the cold gas content of galaxies
requires an accurate separation of bulge and disk components for the study of
gas scaling relations.
| astro-ph.GA | we present the extended galex arecibo sdss survey xgass a gas fractionlimited census of the atomic hi gas content of 1179 galaxies selected only by stellar mass m_star 10910115 m_odot and redshift 001z005 this includes new arecibo observations of 208 galaxies for which we release catalogs and hi spectra in addition to extending the gass hi scaling relations by one decade in stellar mass we quantify total atomicmolecular cold gas fractions and moleculartoatomic gas mass ratios r_mol for the subset of 477 galaxies observed with the iram 30 m telescope we find that atomic gas fractions keep increasing with decreasing stellar mass with no sign of a plateau down to log m_starm_odot 9 total gas reservoirs remain hidominated across our full stellar mass range hence total gas fraction scaling relations closely resemble atomic ones but with a scatter that strongly correlates with r_mol especially at fixed specific star formation rate on average r_mol weakly increases with stellar mass and stellar surface density mu_star but individual values vary by almost two orders of magnitude at fixed m_star or mu_star we show that for galaxies on the starforming sequence variations of r_mol are mostly driven by changes of the hi reservoirs with a clear dependence on mu_star establishing if galaxy mass or structure plays the most important role in regulating the cold gas content of galaxies requires an accurate separation of bulge and disk components for the study of gas scaling relations | [['we', 'present', 'the', 'extended', 'galex', 'arecibo', 'sdss', 'survey', 'xgass', 'a', 'gas', 'fractionlimited', 'census', 'of', 'the', 'atomic', 'hi', 'gas', 'content', 'of', '1179', 'galaxies', 'selected', 'only', 'by', 'stellar', 'mass', 'm_star', '10910115', 'm_odot', 'and', 'redshift', '001z005', 'this', 'includes', 'new', 'arecibo', 'observations', 'of', '208', 'galaxies', 'for', 'which', 'we', 'release', 'catalogs', 'and', 'hi', 'spectra', 'in', 'addition', 'to', 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1,802.02374 | Experience Report: Formal Methods in Material Science | Increased demands in the field of scientific computation require that
algorithms be more efficiently implemented. Maintaining correctness in addition
to efficiency is a challenge that software engineers in the field have to face.
In this report we share our first impressions and experiences on the
applicability of formal methods to such design challenges arising in the
development of scientific computation software in the field of material
science. We investigated two different algorithms, one for load distribution
and one for the computation of convex hulls, and demonstrate how formal methods
have been used to discover counterexamples to the correctness of the existing
implementations as well as proving the correctness of a revised algorithm. The
techniques employed for this include SMT solvers, and automatic and interactive
verification tools.
| cs.SE | increased demands in the field of scientific computation require that algorithms be more efficiently implemented maintaining correctness in addition to efficiency is a challenge that software engineers in the field have to face in this report we share our first impressions and experiences on the applicability of formal methods to such design challenges arising in the development of scientific computation software in the field of material science we investigated two different algorithms one for load distribution and one for the computation of convex hulls and demonstrate how formal methods have been used to discover counterexamples to the correctness of the existing implementations as well as proving the correctness of a revised algorithm the techniques employed for this include smt solvers and automatic and interactive verification tools | [['increased', 'demands', 'in', 'the', 'field', 'of', 'scientific', 'computation', 'require', 'that', 'algorithms', 'be', 'more', 'efficiently', 'implemented', 'maintaining', 'correctness', 'in', 'addition', 'to', 'efficiency', 'is', 'a', 'challenge', 'that', 'software', 'engineers', 'in', 'the', 'field', 'have', 'to', 'face', 'in', 'this', 'report', 'we', 'share', 'our', 'first', 'impressions', 'and', 'experiences', 'on', 'the', 'applicability', 'of', 'formal', 'methods', 'to', 'such', 'design', 'challenges', 'arising', 'in', 'the', 'development', 'of', 'scientific', 'computation', 'software', 'in', 'the', 'field', 'of', 'material', 'science', 'we', 'investigated', 'two', 'different', 'algorithms', 'one', 'for', 'load', 'distribution', 'and', 'one', 'for', 'the', 'computation', 'of', 'convex', 'hulls', 'and', 'demonstrate', 'how', 'formal', 'methods', 'have', 'been', 'used', 'to', 'discover', 'counterexamples', 'to', 'the', 'correctness', 'of', 'the', 'existing', 'implementations', 'as', 'well', 'as', 'proving', 'the', 'correctness', 'of', 'a', 'revised', 'algorithm', 'the', 'techniques', 'employed', 'for', 'this', 'include', 'smt', 'solvers', 'and', 'automatic', 'and', 'interactive', 'verification', 'tools']] | [-0.08165795477532176, -0.03486710692578483, -0.08546056069566735, 0.045358526427114, -0.0981262147348995, -0.12280480382550094, 0.034318313161502516, 0.40438809393653796, -0.2609351159605597, -0.37243352747625774, 0.14842604307110407, -0.21358897821563813, -0.13755148924547173, 0.26727014954852324, -0.10574352044897664, 0.13167299003532482, 0.07394205858872738, -0.010727914286747811, -0.06420008143311226, -0.30026649051745025, 0.26836477733025005, 0.026799008287193758, 0.2984067444497394, 0.08407660297650311, 0.04898507337618087, -0.00047005318929367357, -0.042486483294014186, 0.010829469115133323, -0.08884852129972026, 0.18569851182918581, 0.34278402140452746, 0.25572584778816987, 0.35123941296230426, -0.45824433238585555, -0.15841428453605327, 0.05336023041597819, 0.14276489330315223, 0.10003800381211535, -0.06849587023489653, -0.2466095509155402, 0.10213681469331422, -0.1824345427920066, -0.10435333854651876, -0.13229853927438695, -0.012785746886890145, 0.037261225371843294, -0.2140543788434967, -0.04310843756511098, 0.07296817623899274, 0.10338897419638843, -0.0019752332471340657, -0.12222281812379758, 0.039784304395739344, 0.1667860744240147, 0.06126257096276811, 0.005832032064005496, 0.13775321972068577, -0.1504222506265496, -0.21020729677189912, 0.4032049366672124, -0.01988064539470961, -0.19452506793840302, 0.21844702382527648, -0.04237652952147145, -0.2048333170620488, 0.1017256713738399, 0.2185545735031603, 0.10133529151420272, -0.12773969929133142, 0.08758352120501167, 0.05430172830967912, 0.16222812730582462, 0.03392646587195082, 0.01778112021496608, 0.17363251307203123, 0.18573657365050167, 0.038692957947089796, 0.14259829114667982, -0.01833371559180142, -0.09005788793521267, -0.24837941099106084, -0.20629504020695413, -0.17499536234101962, -0.0450005343050829, -0.03707142116163307, -0.17260717450907187, 0.3972395526333934, 0.261344501253454, 0.08998825946926242, 0.06770178057726413, 0.36805186985385796, 0.06615881272499258, 0.10434347694177949, 0.10738120767258344, 0.23818766424850013, 0.07444569607457471, 0.1616675401409526, -0.17917580211014, 0.08599565779450276, 0.032996529003693945] |
1,802.02375 | ShakeDrop Regularization for Deep Residual Learning | Overfitting is a crucial problem in deep neural networks, even in the latest
network architectures. In this paper, to relieve the overfitting effect of
ResNet and its improvements (i.e., Wide ResNet, PyramidNet, and ResNeXt), we
propose a new regularization method called ShakeDrop regularization. ShakeDrop
is inspired by Shake-Shake, which is an effective regularization method, but
can be applied to ResNeXt only. ShakeDrop is more effective than Shake-Shake
and can be applied not only to ResNeXt but also ResNet, Wide ResNet, and
PyramidNet. An important key is to achieve stability of training. Because
effective regularization often causes unstable training, we introduce a
training stabilizer, which is an unusual use of an existing regularizer.
Through experiments under various conditions, we demonstrate the conditions
under which ShakeDrop works well.
| cs.CV | overfitting is a crucial problem in deep neural networks even in the latest network architectures in this paper to relieve the overfitting effect of resnet and its improvements ie wide resnet pyramidnet and resnext we propose a new regularization method called shakedrop regularization shakedrop is inspired by shakeshake which is an effective regularization method but can be applied to resnext only shakedrop is more effective than shakeshake and can be applied not only to resnext but also resnet wide resnet and pyramidnet an important key is to achieve stability of training because effective regularization often causes unstable training we introduce a training stabilizer which is an unusual use of an existing regularizer through experiments under various conditions we demonstrate the conditions under which shakedrop works well | [['overfitting', 'is', 'a', 'crucial', 'problem', 'in', 'deep', 'neural', 'networks', 'even', 'in', 'the', 'latest', 'network', 'architectures', 'in', 'this', 'paper', 'to', 'relieve', 'the', 'overfitting', 'effect', 'of', 'resnet', 'and', 'its', 'improvements', 'ie', 'wide', 'resnet', 'pyramidnet', 'and', 'resnext', 'we', 'propose', 'a', 'new', 'regularization', 'method', 'called', 'shakedrop', 'regularization', 'shakedrop', 'is', 'inspired', 'by', 'shakeshake', 'which', 'is', 'an', 'effective', 'regularization', 'method', 'but', 'can', 'be', 'applied', 'to', 'resnext', 'only', 'shakedrop', 'is', 'more', 'effective', 'than', 'shakeshake', 'and', 'can', 'be', 'applied', 'not', 'only', 'to', 'resnext', 'but', 'also', 'resnet', 'wide', 'resnet', 'and', 'pyramidnet', 'an', 'important', 'key', 'is', 'to', 'achieve', 'stability', 'of', 'training', 'because', 'effective', 'regularization', 'often', 'causes', 'unstable', 'training', 'we', 'introduce', 'a', 'training', 'stabilizer', 'which', 'is', 'an', 'unusual', 'use', 'of', 'an', 'existing', 'regularizer', 'through', 'experiments', 'under', 'various', 'conditions', 'we', 'demonstrate', 'the', 'conditions', 'under', 'which', 'shakedrop', 'works', 'well']] | [-0.05390225003551071, 0.03475691987587775, -0.06910036186805911, 0.0957068745596593, -0.12515324164581085, -0.21995219911286046, -0.002261606982857403, 0.4350307637618648, -0.283662126931761, -0.29732174639190945, 0.10814532059677211, -0.18681079291162037, -0.26169716084878597, 0.187555650042163, -0.2014015791036876, 0.07580053698343579, 0.12661227925370136, 0.008781537857084047, -0.08828088473657975, -0.33455980207497577, 0.2876139145994943, 0.0891010452351544, 0.32118442194307195, 0.09637165968657456, 0.1351172087551464, -0.07471655313265584, 0.07534012405408753, 0.009043102388248025, -0.04039498108683065, 0.13177260502503949, 0.2450270557421304, 0.13299680094692914, 0.3428723979593506, -0.3854535589556372, -0.2605397330794764, 0.11726468650712854, 0.1694365813385784, 0.12983003599358545, 0.0006935135416348377, -0.28598490824538564, 0.11013566613537333, -0.18410925128098046, 0.020899339481109072, -0.20250680045934305, -0.04590947148833601, -0.04544974405998512, -0.3394479209207006, 0.04481386025584051, 0.07139796078194022, 0.047225044393498034, -0.04446269405935521, -0.1352769341393714, 0.01949144747673667, 0.08975866602157198, 0.0517148480580617, 0.08270002304509814, 0.11273483949388186, -0.18282450960453836, -0.07898195885447046, 0.3605381942590669, -0.0742251804484921, -0.2127850981769226, 0.18722605473169732, 0.05492093823924069, -0.13204865963272158, 0.062107456868351806, 0.2053136896491716, 0.1472107321615257, -0.17819795969666707, 0.030764716509212222, -0.027769547961060962, 0.1615692633555256, 0.03673373058342212, 0.005651002461534171, 0.10133399435925106, 0.28344893191630643, 0.09126322879086411, 0.15685188968754596, -0.13645508420831037, -0.027783473465769065, -0.22024352603872854, -0.07380488027803718, -0.1688208710032678, 0.011144282896970658, -0.10440973344671037, -0.15274345378450577, 0.38828301672557636, 0.23042260481429006, 0.2240794656081273, 0.06451495949988298, 0.31011275938224225, 0.04761691617276815, 0.2013511780967256, 0.0982416466262842, 0.22955801437002799, 0.06045482094983556, 0.08544035211929844, -0.16893511213036994, 0.07545994357058099, 0.05038719408265832] |
1,802.02376 | Role of atomic spin-mechanical coupling in the problem of magnetic
biocompass | It is a well established notion that animals can detect the Earth's magnetic
field, while the biophysical origin of such magnetoreception is still elusive.
Recently, a magnetic receptor Drosophila CG8198 (MagR) with a rod-like protein
complex is reported [Qin \emph{et al}., Nat. Mater. \textbf{15}, 217 (2016)] to
act like a compass needle to guide the magnetic orientation of animals. This
view, however, is challenged [Meister, Elife \textbf{5}, e17210 (2016)] by
arguing that thermal fluctuations beat the Zeeman coupling of the proteins's
magnetic moment with the rather weak geomagnetic field ($\sim25-65$ $\mu$T). In
this work, we show that the spin-mechanical interaction at the atomic scale
gives rise to a high blocking temperature which allows a good alignment of
protein's magnetic moment with the Earth's magnetic field at room temperature.
Our results provide a promising route to resolve the debate on the thermal
behaviors of MagR, and may stimulate a broad interest on spin-mechanical
couplings down to atomistic levels.
| cond-mat.mes-hall physics.bio-ph | it is a well established notion that animals can detect the earths magnetic field while the biophysical origin of such magnetoreception is still elusive recently a magnetic receptor drosophila cg8198 magr with a rodlike protein complex is reported qin emphet al nat mater textbf15 217 2016 to act like a compass needle to guide the magnetic orientation of animals this view however is challenged meister elife textbf5 e17210 2016 by arguing that thermal fluctuations beat the zeeman coupling of the proteinss magnetic moment with the rather weak geomagnetic field sim2565 mut in this work we show that the spinmechanical interaction at the atomic scale gives rise to a high blocking temperature which allows a good alignment of proteins magnetic moment with the earths magnetic field at room temperature our results provide a promising route to resolve the debate on the thermal behaviors of magr and may stimulate a broad interest on spinmechanical couplings down to atomistic levels | [['it', 'is', 'a', 'well', 'established', 'notion', 'that', 'animals', 'can', 'detect', 'the', 'earths', 'magnetic', 'field', 'while', 'the', 'biophysical', 'origin', 'of', 'such', 'magnetoreception', 'is', 'still', 'elusive', 'recently', 'a', 'magnetic', 'receptor', 'drosophila', 'cg8198', 'magr', 'with', 'a', 'rodlike', 'protein', 'complex', 'is', 'reported', 'qin', 'emphet', 'al', 'nat', 'mater', 'textbf15', '217', '2016', 'to', 'act', 'like', 'a', 'compass', 'needle', 'to', 'guide', 'the', 'magnetic', 'orientation', 'of', 'animals', 'this', 'view', 'however', 'is', 'challenged', 'meister', 'elife', 'textbf5', 'e17210', '2016', 'by', 'arguing', 'that', 'thermal', 'fluctuations', 'beat', 'the', 'zeeman', 'coupling', 'of', 'the', 'proteinss', 'magnetic', 'moment', 'with', 'the', 'rather', 'weak', 'geomagnetic', 'field', 'sim2565', 'mut', 'in', 'this', 'work', 'we', 'show', 'that', 'the', 'spinmechanical', 'interaction', 'at', 'the', 'atomic', 'scale', 'gives', 'rise', 'to', 'a', 'high', 'blocking', 'temperature', 'which', 'allows', 'a', 'good', 'alignment', 'of', 'proteins', 'magnetic', 'moment', 'with', 'the', 'earths', 'magnetic', 'field', 'at', 'room', 'temperature', 'our', 'results', 'provide', 'a', 'promising', 'route', 'to', 'resolve', 'the', 'debate', 'on', 'the', 'thermal', 'behaviors', 'of', 'magr', 'and', 'may', 'stimulate', 'a', 'broad', 'interest', 'on', 'spinmechanical', 'couplings', 'down', 'to', 'atomistic', 'levels']] | [-0.1431344343591742, 0.21198012878027694, -0.052362321753446996, 0.03587251183795927, -0.10177184887365193, -0.11437765978629805, 0.052898944154118284, 0.3751500158962843, -0.21815442425155962, -0.3378238001237868, 2.0633377349249233e-05, -0.23406528696078135, -0.14752128259217562, 0.1764818597094793, -0.03277505434571618, -0.016181014289797627, 0.00063807327042971, 0.017789417876453006, 0.03461521268610867, -0.19731249604956247, 0.186413018713019, 0.1193975712368755, 0.2882585960293287, 0.12404122086254095, 0.11202638451772816, -0.03249591589893067, 0.07818303483011398, 0.030020336240628047, -0.14074755076384654, 0.08419018804507734, 0.23258330415065806, 0.019766760263959633, 0.23842471882878608, -0.4239190271810481, -0.2236780147650279, 0.0680479153142139, 0.09525943845265399, 0.14630837771830174, -0.06960436885588263, -0.3137666364200413, 0.05109662101447037, -0.10145825209512718, -0.14614411810486527, -0.10520107677439228, 0.03895789597529648, 0.01077352373402774, -0.28836435057516946, 0.08604663689191894, 0.06904476827185135, 0.14280317487933453, -0.08354512330084904, -0.1049813645230116, -0.011931413648294677, 0.08396443258358263, 0.05775341873921111, 0.13223817311135413, 0.19447786549847623, -0.10905951925394076, -0.132011306288309, 0.35782566469922467, -0.02536508695323535, -0.085816390812397, 0.22876406420714615, -0.16947997473241566, -0.1446489975726428, 0.13334497138490214, 0.11221510890448515, 0.08092876580868553, -0.1508627796459845, 0.07353542121640394, -0.03425884498038182, 0.16942364220372647, 0.08071408857205442, -0.003026957712503836, 0.2718761786573419, 0.1819365690952461, 0.03411342583498672, 0.09176285946236212, -0.13166129001872737, -0.0650418789377191, -0.18076255608435818, -0.13607615990392669, -0.1713772637104787, 0.10632548985794481, -0.030710228770802036, -0.1673159864179692, 0.3723776691959325, 0.19867627400564838, 0.1894733438476626, -0.014840572682595322, 0.24854052775711016, 0.025160020098586467, 0.06840610264426734, 0.021004155958316437, 0.27871192805469036, 0.1591138018273724, 0.1654953945896858, -0.2704586324796669, 0.08803892483564069, -0.010312980359518215] |
1,802.02377 | Equivariant motivic integration and proof of the integral identity
conjecture for regular functions | We develop the Denef-Loeser motivic integration to the equivariant motivic
integration and use it to prove the full integral identity conjecture for
regular functions.
| math.AG | we develop the denefloeser motivic integration to the equivariant motivic integration and use it to prove the full integral identity conjecture for regular functions | [['we', 'develop', 'the', 'denefloeser', 'motivic', 'integration', 'to', 'the', 'equivariant', 'motivic', 'integration', 'and', 'use', 'it', 'to', 'prove', 'the', 'full', 'integral', 'identity', 'conjecture', 'for', 'regular', 'functions']] | [-0.19492566647628942, -0.09949485076746593, -0.1946088057787468, 0.2011368665844202, -0.1283788123788933, -0.09941890556365252, 0.0014773181562001507, 0.337612917025884, -0.3873420199379325, -0.1755581363880386, 0.1170109379842567, -0.13969898843788542, -0.1983553214619557, 0.1938347752826909, -0.16788078541867435, 0.06582251476841823, 0.04823583426574866, -0.004457510192878544, -0.09898423690659304, -0.2913970467767892, 0.4130117194727063, -0.045584141897658505, 0.25446215240905684, 0.10939652350498363, 0.13449428789317608, 0.10734684451017529, -0.07472668504730488, -0.14990702209373316, -0.1614538777115134, 0.23337738774716854, 0.34665769276519615, 0.0674660159565974, 0.23016711479673782, -0.3958888111325602, -0.08563427255527738, 0.12665267032571137, 0.10861715466793005, 0.00105863557352374, 0.03787091396710215, -0.27015230307976407, 0.1635897137069454, -0.23131982749328017, -0.25531006418168545, -0.1819765156445404, 0.0702361593527409, 0.03758337659140428, -0.2582675979162256, -0.03882040708170583, -0.03125479452622434, 0.09870679478626698, -0.1288955167013531, -0.01620500492087255, -0.01689404002778853, 0.17111525839815536, -0.01019377486469845, 0.04261593704965586, 0.09299306239699945, -0.021469779933492344, -0.11215854413846198, 0.29879198716177297, -0.053688147803768516, -0.22348603264739117, 0.05578572089628627, -0.1731321307209631, -0.23327723739203066, 0.13824702931257585, -0.05205999159564575, 0.1900017767523726, 0.03006857664634784, 0.14270746432157466, -0.04522142962863048, 0.05265629027659694, 0.12785575437980393, 0.014836565863030652, 0.1174777540533493, -0.002541480197881659, 0.06249283867267271, 0.16910708664606014, -0.0065687879687175155, -0.1083158524755466, -0.31197899479108554, -0.3304808096339305, -0.07604511392613252, 0.21163719760564467, -0.10723209722527827, -0.2744136907470723, 0.3684702794998884, 0.15515467260653773, 0.07967185170855373, 0.32424182759132236, 0.3121301233768463, 0.16678158842842095, 0.09767263901691574, -0.014493056611778835, 0.09337218602498372, 0.21543666860088706, 0.08269054155486326, -0.0858881442497174, -0.10818261265133818, 0.2942049359747519] |
1,802.02378 | PEBP1/RKIP: from multiple functions to a common role in cellular
processes | PEBPs (PhosphatidylEthanolamine Binding Proteins) form a protein family
widely present in the living world since they are encountered in
microorganisms, plants and animals. In all organisms PEBPs appear to regulate
important mechanisms that govern cell cycle, proliferation, differentiation and
motility. In humans, three PEBPs have been identified, namely PEBP1, PEBP2 and
PEBP4. PEBP1 and PEBP4 are the most studied as they are implicated in the
development of various cancers. PEBP2 is specific of testes in mammals and was
essentially studied in rats and mice where it is very abundant. A lot of
information has been gained on PEBP1 also named RKIP (Raf Kinase Inhibitory
protein) due to its role as a metastasis suppressor in cancer. PEBP1 was also
demonstrated to be implicated in Alzheimers disease, diabetes and
nephropathies. Furthermore, PEBP1 was described to be involved in many cellular
processes, among them are signal transduction, inflammation, cell cycle,
proliferation, adhesion, differentiation, apoptosis, autophagy, circadian
rhythm and mitotic spindle checkpoint. On the molecular level, PEBP1 was shown
to regulate several signaling pathways such as Raf/MEK/ERK, NFkB,
PI3K/Akt/mTOR, p38, Notch and Wnt. PEBP1 acts by inhibiting most of the kinases
of these signaling cascades. Moreover, PEBP1 is able to bind to a variety of
small ligands such as ATP, phospholipids, nucleotides, flavonoids or drugs.
Considering PEBP1 is a small cytoplasmic protein (21kDa), its involvement in so
many diseases and cellular mechanisms is amazing. The aim of this review is to
highlight the molecular systems that are common to all these cellular
mechanisms in order to decipher the specific role of PEBP1. Recent discoveries
enable us to propose that PEBP1 is a modulator of molecular interactions that
control signal transduction during membrane and cytoskeleton reorganization.
| q-bio.SC | pebps phosphatidylethanolamine binding proteins form a protein family widely present in the living world since they are encountered in microorganisms plants and animals in all organisms pebps appear to regulate important mechanisms that govern cell cycle proliferation differentiation and motility in humans three pebps have been identified namely pebp1 pebp2 and pebp4 pebp1 and pebp4 are the most studied as they are implicated in the development of various cancers pebp2 is specific of testes in mammals and was essentially studied in rats and mice where it is very abundant a lot of information has been gained on pebp1 also named rkip raf kinase inhibitory protein due to its role as a metastasis suppressor in cancer pebp1 was also demonstrated to be implicated in alzheimers disease diabetes and nephropathies furthermore pebp1 was described to be involved in many cellular processes among them are signal transduction inflammation cell cycle proliferation adhesion differentiation apoptosis autophagy circadian rhythm and mitotic spindle checkpoint on the molecular level pebp1 was shown to regulate several signaling pathways such as rafmekerk nfkb pi3kaktmtor p38 notch and wnt pebp1 acts by inhibiting most of the kinases of these signaling cascades moreover pebp1 is able to bind to a variety of small ligands such as atp phospholipids nucleotides flavonoids or drugs considering pebp1 is a small cytoplasmic protein 21kda its involvement in so many diseases and cellular mechanisms is amazing the aim of this review is to highlight the molecular systems that are common to all these cellular mechanisms in order to decipher the specific role of pebp1 recent discoveries enable us to propose that pebp1 is a modulator of molecular interactions that control signal transduction during membrane and cytoskeleton reorganization | [['pebps', 'phosphatidylethanolamine', 'binding', 'proteins', 'form', 'a', 'protein', 'family', 'widely', 'present', 'in', 'the', 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1,802.02379 | Dynamic Sampling from a Discrete Probability Distribution with a Known
Distribution of Rates | In this paper, we consider several efficient data structures for the problem
of sampling from a dynamically changing discrete probability distribution,
where some prior information is known on the distribution of the rates, in
particular the maximum and minimum rate, and where the number of possible
outcomes N is large.
We consider three basic data structures, the Acceptance-Rejection method, the
Complete Binary Tree and the Alias method. These can be used as building blocks
in a multi-level data structure, where at each of the levels, one of the basic
data structures can be used, with the top level selecting a group of events,
and the bottom level selecting an element from a group.
Depending on assumptions on the distribution of the rates of outcomes,
different combinations of the basic structures can be used. We prove that for
particular data structures the expected time of sampling and update is constant
when the rate distribution follows certain conditions. We show that for any
distribution, combining a tree structure with the Acceptance-Rejection method,
we have an expected time of sampling and update of
$O\left(\log\log{r_{max}}/{r_{min}}\right)$ is possible, where $r_{max}$ is the
maximum rate and $r_{min}$ the minimum rate. We also discuss an implementation
of a Two Levels Acceptance-Rejection data structure, that allows expected
constant time for sampling, and amortized constant time for updates, assuming
that $r_{max}$ and $r_{min}$ are known and the number of events is sufficiently
large.
We also present an experimental verification, highlighting the limits given
by the constraints of a real-life setting.
| cs.CE cs.DS | in this paper we consider several efficient data structures for the problem of sampling from a dynamically changing discrete probability distribution where some prior information is known on the distribution of the rates in particular the maximum and minimum rate and where the number of possible outcomes n is large we consider three basic data structures the acceptancerejection method the complete binary tree and the alias method these can be used as building blocks in a multilevel data structure where at each of the levels one of the basic data structures can be used with the top level selecting a group of events and the bottom level selecting an element from a group depending on assumptions on the distribution of the rates of outcomes different combinations of the basic structures can be used we prove that for particular data structures the expected time of sampling and update is constant when the rate distribution follows certain conditions we show that for any distribution combining a tree structure with the acceptancerejection method we have an expected time of sampling and update of oleftloglogr_maxr_minright is possible where r_max is the maximum rate and r_min the minimum rate we also discuss an implementation of a two levels acceptancerejection data structure that allows expected constant time for sampling and amortized constant time for updates assuming that r_max and r_min are known and the number of events is sufficiently large we also present an experimental verification highlighting the limits given by the constraints of a reallife setting | [['in', 'this', 'paper', 'we', 'consider', 'several', 'efficient', 'data', 'structures', 'for', 'the', 'problem', 'of', 'sampling', 'from', 'a', 'dynamically', 'changing', 'discrete', 'probability', 'distribution', 'where', 'some', 'prior', 'information', 'is', 'known', 'on', 'the', 'distribution', 'of', 'the', 'rates', 'in', 'particular', 'the', 'maximum', 'and', 'minimum', 'rate', 'and', 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1,802.0238 | A general tool for LTE thermochemistry for adiabatic nondiffusive fluid
dynamics: applications to 2D planar discontinuity flows in SPH | Chemical reactions in fluid dynamics deeply modify the flow physical
conditions through both the contribution of the energy of reactions and the
variation of the mean molecular weight and of the ratio of specific heats. This
occurs typically on time scales largely much smaller than diffusive time scales
of the produced chemicals, especially for shock waves coming from explosive
events. In this work we show how it is possible to include a standing alone
algorithm, dealing with both molecular and nuclear thermochemistry in the
computational nondiffusive adiabatic flow dynamics in local thermal equilibrium
(LTE) in an explicit scheme of integration of fluid dynamics equations, free of
the adopted computational framework. In this paper, working in the Free
Lagrangian GASPHER framework, belonging to the smooth particle hydrodynamics
methods (SPH), some comparisons are made for planar discontinuity flows among
reactive to the respective unreactive flow models, assuming the same initial
physical conditions and simple chemical composition. Results show the
importance of the role not only of the thermochemical reaction energy, but also
of the mean molecular weight and of the ratio of specific heats.
| physics.comp-ph physics.flu-dyn | chemical reactions in fluid dynamics deeply modify the flow physical conditions through both the contribution of the energy of reactions and the variation of the mean molecular weight and of the ratio of specific heats this occurs typically on time scales largely much smaller than diffusive time scales of the produced chemicals especially for shock waves coming from explosive events in this work we show how it is possible to include a standing alone algorithm dealing with both molecular and nuclear thermochemistry in the computational nondiffusive adiabatic flow dynamics in local thermal equilibrium lte in an explicit scheme of integration of fluid dynamics equations free of the adopted computational framework in this paper working in the free lagrangian gaspher framework belonging to the smooth particle hydrodynamics methods sph some comparisons are made for planar discontinuity flows among reactive to the respective unreactive flow models assuming the same initial physical conditions and simple chemical composition results show the importance of the role not only of the thermochemical reaction energy but also of the mean molecular weight and of the ratio of specific heats | [['chemical', 'reactions', 'in', 'fluid', 'dynamics', 'deeply', 'modify', 'the', 'flow', 'physical', 'conditions', 'through', 'both', 'the', 'contribution', 'of', 'the', 'energy', 'of', 'reactions', 'and', 'the', 'variation', 'of', 'the', 'mean', 'molecular', 'weight', 'and', 'of', 'the', 'ratio', 'of', 'specific', 'heats', 'this', 'occurs', 'typically', 'on', 'time', 'scales', 'largely', 'much', 'smaller', 'than', 'diffusive', 'time', 'scales', 'of', 'the', 'produced', 'chemicals', 'especially', 'for', 'shock', 'waves', 'coming', 'from', 'explosive', 'events', 'in', 'this', 'work', 'we', 'show', 'how', 'it', 'is', 'possible', 'to', 'include', 'a', 'standing', 'alone', 'algorithm', 'dealing', 'with', 'both', 'molecular', 'and', 'nuclear', 'thermochemistry', 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1,802.02381 | The $b$-branching problem in digraphs | In this paper, we introduce the concept of $b$-branchings in digraphs, which
is a generalization of branchings serving as a counterpart of $b$-matchings.
Here $b$ is a positive integer vector on the vertex set of a digraph, and a
$b$-branching is defined as a common independent set of two matroids defined by
$b$: an arc set is a $b$-branching if it has at most $b(v)$ arcs sharing the
terminal vertex $v$, and it is an independent set of a certain sparsity matroid
defined by $b$. We demonstrate that $b$-branchings yield an appropriate
generalization of branchings by extending several classical results on
branchings. We first present a multi-phase greedy algorithm for finding a
maximum-weight $b$-branching. We then prove a packing theorem extending
Edmonds' disjoint branchings theorem, and provide a strongly polynomial
algorithm for finding optimal disjoint $b$-branchings. As a consequence of the
packing theorem, we prove the integer decomposition property of the
$b$-branching polytope. Finally, we deal with a further generalization in which
a matroid constraint is imposed on the $b(v)$ arcs sharing the terminal vertex
$v$.
| cs.DM cs.DS math.CO | in this paper we introduce the concept of bbranchings in digraphs which is a generalization of branchings serving as a counterpart of bmatchings here b is a positive integer vector on the vertex set of a digraph and a bbranching is defined as a common independent set of two matroids defined by b an arc set is a bbranching if it has at most bv arcs sharing the terminal vertex v and it is an independent set of a certain sparsity matroid defined by b we demonstrate that bbranchings yield an appropriate generalization of branchings by extending several classical results on branchings we first present a multiphase greedy algorithm for finding a maximumweight bbranching we then prove a packing theorem extending edmonds disjoint branchings theorem and provide a strongly polynomial algorithm for finding optimal disjoint bbranchings as a consequence of the packing theorem we prove the integer decomposition property of the bbranching polytope finally we deal with a further generalization in which a matroid constraint is imposed on the bv arcs sharing the terminal vertex v | [['in', 'this', 'paper', 'we', 'introduce', 'the', 'concept', 'of', 'bbranchings', 'in', 'digraphs', 'which', 'is', 'a', 'generalization', 'of', 'branchings', 'serving', 'as', 'a', 'counterpart', 'of', 'bmatchings', 'here', 'b', 'is', 'a', 'positive', 'integer', 'vector', 'on', 'the', 'vertex', 'set', 'of', 'a', 'digraph', 'and', 'a', 'bbranching', 'is', 'defined', 'as', 'a', 'common', 'independent', 'set', 'of', 'two', 'matroids', 'defined', 'by', 'b', 'an', 'arc', 'set', 'is', 'a', 'bbranching', 'if', 'it', 'has', 'at', 'most', 'bv', 'arcs', 'sharing', 'the', 'terminal', 'vertex', 'v', 'and', 'it', 'is', 'an', 'independent', 'set', 'of', 'a', 'certain', 'sparsity', 'matroid', 'defined', 'by', 'b', 'we', 'demonstrate', 'that', 'bbranchings', 'yield', 'an', 'appropriate', 'generalization', 'of', 'branchings', 'by', 'extending', 'several', 'classical', 'results', 'on', 'branchings', 'we', 'first', 'present', 'a', 'multiphase', 'greedy', 'algorithm', 'for', 'finding', 'a', 'maximumweight', 'bbranching', 'we', 'then', 'prove', 'a', 'packing', 'theorem', 'extending', 'edmonds', 'disjoint', 'branchings', 'theorem', 'and', 'provide', 'a', 'strongly', 'polynomial', 'algorithm', 'for', 'finding', 'optimal', 'disjoint', 'bbranchings', 'as', 'a', 'consequence', 'of', 'the', 'packing', 'theorem', 'we', 'prove', 'the', 'integer', 'decomposition', 'property', 'of', 'the', 'bbranching', 'polytope', 'finally', 'we', 'deal', 'with', 'a', 'further', 'generalization', 'in', 'which', 'a', 'matroid', 'constraint', 'is', 'imposed', 'on', 'the', 'bv', 'arcs', 'sharing', 'the', 'terminal', 'vertex', 'v']] | [-0.17352901720336045, 0.07681733424024886, -0.08686652264970524, 0.019146585181508934, -0.10819527648643336, -0.14219333886814473, 0.0925640915751997, 0.3419896890620955, -0.3277109386538293, -0.23045043978279203, 0.08331643038367144, -0.25839462388963014, -0.15283560622695155, 0.13546499035014262, -0.1193962491114772, 0.025102309842953797, 0.0927628965053538, 0.07337804402860373, -0.028648881579019046, -0.2592648276463892, 0.3101646299950186, -0.039480044154598465, 0.1813503336082001, 0.08395443075675178, 0.13723307141282765, 0.06921855059871715, -0.014472055714577436, 0.11324865754828682, -0.15717598564800606, 0.11172885348258371, 0.23572364780755545, 0.19413980041074616, 0.29302836704829877, -0.3170628994650377, -0.12513200303444386, 0.1508388422450728, 0.10229413682563146, 0.04697926317616789, -0.02267308888721428, -0.19771306825251403, 0.12926424770425496, -0.14826305592908862, -0.11104480375996156, -0.005443496360385325, 0.07108718002299694, 0.013150801183655858, -0.3279727128366093, -0.018598922067956828, 0.12905453752186571, 0.04593045623774246, -0.008639445908060721, -0.14604515734324444, -0.014648883614096452, 0.026005370994839308, -0.05475441296320324, 0.12321126432123658, 0.03990193322136871, -0.08634721312872981, -0.19474594561787936, 0.3850980108519169, -0.026451973038505952, -0.1978255885663781, 0.13610357406485657, -0.08159888400686297, -0.18407492937562478, 0.10360459067107347, 0.1270368674383297, 0.15071404484015974, -0.12893622410642405, 0.10925056861048109, -0.20158676919527352, 0.06883794311645695, 0.11468209610955621, 0.03500488355745223, 0.1585689729227769, 0.15972263518646782, 0.18260220876916058, 0.2067621104638833, 0.00433545515592083, -0.016033950153293765, -0.3212476832823912, -0.13056911661988124, -0.20921612279066307, 0.07671518109352539, -0.13779678875926038, -0.1931611500542865, 0.3836811126781289, 0.06361554459429251, 0.22658995701137677, 0.12165300838718064, 0.2457354177339849, 0.10369534948834123, 0.029685028651081004, 0.13089008243564007, 0.14093003782512492, 0.17233987138685983, 0.0024101767207453536, -0.1588513484133397, 0.052080515621293504, 0.18625267570711335] |
1,802.02382 | Space and Time in Loop Quantum Gravity | Quantum gravity is expected to require modifications of the notions of space
and time. I discuss and clarify how this happens in Loop Quantum Gravity.
| gr-qc physics.hist-ph quant-ph | quantum gravity is expected to require modifications of the notions of space and time i discuss and clarify how this happens in loop quantum gravity | [['quantum', 'gravity', 'is', 'expected', 'to', 'require', 'modifications', 'of', 'the', 'notions', 'of', 'space', 'and', 'time', 'i', 'discuss', 'and', 'clarify', 'how', 'this', 'happens', 'in', 'loop', 'quantum', 'gravity']] | [-0.15729953654110432, 0.21693018723279237, -0.12659792311489582, 0.15268957540392875, -0.0755181298404932, -0.1726572524756193, 0.009951526317745447, 0.30458900690078733, -0.25287200331687926, -0.2800057826191187, 0.055661497577093544, -0.21159710220992564, -0.18251653760671616, 0.12838895335793496, -0.16809675201773644, 0.0068322598189115525, -0.023614991903305054, 0.0821881614625454, -0.1435104801878333, -0.27404175475239756, 0.4029614930599928, 0.09298118363134562, 0.17419421292841433, 0.07063530445098877, 0.08639182806015015, -0.05563569469377398, -0.04454140044748783, 0.03499405564623885, -0.19954551059752704, 0.05770794000010938, 0.25450392231345176, 0.16226836301386358, 0.24848140865564347, -0.5018667051941157, -0.22646950729191304, 0.07979835584759712, 0.08450795914977789, 0.15517186790704726, 0.025706630423665045, -0.23774595028720796, 0.013580178775591777, -0.11470298916101455, -0.12210959754884243, -0.07424711965024472, 0.0017827769741415977, -0.1056521775946021, -0.13880939550697804, 0.022535541765391826, 0.05893306002020836, 0.0001478872448205948, 0.05110300421714783, -0.006526928395032883, 0.0655867713689804, 0.1156642160564661, 0.05744788172654808, 0.03203108323737979, 0.14643035657703876, -0.1568491643574089, -0.19962519977241755, 0.46804513558745386, -0.05718018464744091, -0.19174910631030798, 0.1800115942955017, -0.20074940707534553, -0.13434405043721198, -0.028735541254281998, 0.11596861056983471, 0.07864274479448795, -0.04938709519803524, 0.1926647787494585, 0.08657779201865196, 0.11625105656683445, 0.047070770114660265, 0.15262339167296887, 0.2488811994343996, 0.0859863493591547, 0.041097691785544156, 0.12831904262304306, -0.06105504482984543, -0.18925546657294035, -0.4128963565826416, -0.2667825509607792, -0.09423723414540291, 0.07044345423579217, -0.07020006764563731, -0.15041603729128838, 0.3423927976004779, 0.2518427216261625, 0.12525634564459323, 0.04171216826885939, 0.23603446677327156, 0.09664087623357773, 0.03972039960324764, 0.058545876797288655, 0.3020575764775276, 0.1682451919419691, 0.11875236062332988, -0.29878621922805904, -0.004680055640637875, 0.052191648967564105] |
1,802.02383 | The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive
Equations on Spaces of Bounded Functions | Consider the $3$-d primitive equations in a layer domain $\Omega=G \times
(-h,0)$, $G=(0,1)^2$, subject to mixed Dirichlet and Neumann boundary
conditions at $z=-h$ and $z=0$, respectively, and the periodic lateral boundary
condition. It is shown that this equation is globally, strongly well-posed for
arbitrary large data of the form $a=a_1 + a_2$, where $a_1\in
C(\overline{G};L^p(-h,0))$, $a_2\in L^{\infty}(G;L^p(-h,0))$ for $p>3$, and
where $a_1$ is periodic in the horizontal variables and $a_2$ is sufficiently
small. In particular, no differentiability condition on the data is assumed.
The approach relies on $L^\infty_HL^p_z(\Omega)$-estimates for terms of the
form $t^{1/2} \lVert \partial_z e^{tA_{\overline{\sigma}}}\mathbb{P}f
\rVert_{L^\infty_H L^p_z(\Omega)}\le C e^{t\beta} \lVert f \rVert_{L^\infty_H
L^p_z (\Omega)}$ for $t>0$, where $e^{t A_{\overline{\sigma}}}$ denotes the
hydrostatic Stokes semigroup. The difficulty in proving estimates of this form
is that the hydrostatic Helmholtz projection $\mathbb{P}$ fails to be bounded
with respect to the $L^\infty$-norm. The global strong well-posedness result is
then obtained by an iteration scheme, splitting the data into a smooth and a
rough part and by combining a reference solution for smooth data with an
evolution equation for the rough part.
| math.AP | consider the 3d primitive equations in a layer domain omegag times h0 g012 subject to mixed dirichlet and neumann boundary conditions at zh and z0 respectively and the periodic lateral boundary condition it is shown that this equation is globally strongly wellposed for arbitrary large data of the form aa_1 a_2 where a_1in coverlineglph0 a_2in linftyglph0 for p3 and where a_1 is periodic in the horizontal variables and a_2 is sufficiently small in particular no differentiability condition on the data is assumed the approach relies on linfty_hlp_zomegaestimates for terms of the form t12 lvert partial_z eta_overlinesigmamathbbpf rvert_linfty_h lp_zomegale c etbeta lvert f rvert_linfty_h lp_z omega for t0 where et a_overlinesigma denotes the hydrostatic stokes semigroup the difficulty in proving estimates of this form is that the hydrostatic helmholtz projection mathbbp fails to be bounded with respect to the linftynorm the global strong wellposedness result is then obtained by an iteration scheme splitting the data into a smooth and a rough part and by combining a reference solution for smooth data with an evolution equation for the rough part | [['consider', 'the', '3d', 'primitive', 'equations', 'in', 'a', 'layer', 'domain', 'omegag', 'times', 'h0', 'g012', 'subject', 'to', 'mixed', 'dirichlet', 'and', 'neumann', 'boundary', 'conditions', 'at', 'zh', 'and', 'z0', 'respectively', 'and', 'the', 'periodic', 'lateral', 'boundary', 'condition', 'it', 'is', 'shown', 'that', 'this', 'equation', 'is', 'globally', 'strongly', 'wellposed', 'for', 'arbitrary', 'large', 'data', 'of', 'the', 'form', 'aa_1', 'a_2', 'where', 'a_1in', 'coverlineglph0', 'a_2in', 'linftyglph0', 'for', 'p3', 'and', 'where', 'a_1', 'is', 'periodic', 'in', 'the', 'horizontal', 'variables', 'and', 'a_2', 'is', 'sufficiently', 'small', 'in', 'particular', 'no', 'differentiability', 'condition', 'on', 'the', 'data', 'is', 'assumed', 'the', 'approach', 'relies', 'on', 'linfty_hlp_zomegaestimates', 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1,802.02384 | Cramer-Rao Bound for Constrained Parameter Estimation Using
Lehmann-Unbiasedness | The constrained Cramer-Rao bound (CCRB) is a lower bound on the
mean-squared-error (MSE) of estimators that satisfy some unbiasedness
conditions. Although the CCRB unbiasedness conditions are satisfied
asymptotically by the constrained maximum likelihood (CML) estimator, in the
non-asymptotic region these conditions are usually too strict and the
commonly-used estimators, such as the CML estimator, do not satisfy them.
Therefore, the CCRB may not be a lower bound on the MSE matrix of such
estimators. In this paper, we propose a new definition for unbiasedness under
constraints, denoted by C-unbiasedness, which is based on using
Lehmann-unbiasedness with a weighted MSE (WMSE) risk and taking into account
the parametric constraints. In addition to C-unbiasedness, a Cramer-Rao-type
bound on the WMSE of C-unbiased estimators, denoted as Lehmann-unbiased CCRB
(LU-CCRB), is derived. This bound is a scalar bound that depends on the chosen
weighted combination of estimation errors. It is shown that C-unbiasedness is
less restrictive than the CCRB unbiasedness conditions. Thus, the set of
estimators that satisfy the CCRB unbiasedness conditions is a subset of the set
of C-unbiased estimators and the proposed LU-CCRB may be an informative lower
bound in cases where the corresponding CCRB is not. In the simulations, we
examine linear and nonlinear estimation problems under nonlinear constraints in
which the CML estimator is shown to be C-unbiased and the LU-CCRB is an
informative lower bound on the WMSE, while the corresponding CCRB on the WMSE
is not a lower bound and is not informative in the non-asymptotic region.
| cs.IT math.IT | the constrained cramerrao bound ccrb is a lower bound on the meansquarederror mse of estimators that satisfy some unbiasedness conditions although the ccrb unbiasedness conditions are satisfied asymptotically by the constrained maximum likelihood cml estimator in the nonasymptotic region these conditions are usually too strict and the commonlyused estimators such as the cml estimator do not satisfy them therefore the ccrb may not be a lower bound on the mse matrix of such estimators in this paper we propose a new definition for unbiasedness under constraints denoted by cunbiasedness which is based on using lehmannunbiasedness with a weighted mse wmse risk and taking into account the parametric constraints in addition to cunbiasedness a cramerraotype bound on the wmse of cunbiased estimators denoted as lehmannunbiased ccrb luccrb is derived this bound is a scalar bound that depends on the chosen weighted combination of estimation errors it is shown that cunbiasedness is less restrictive than the ccrb unbiasedness conditions thus the set of estimators that satisfy the ccrb unbiasedness conditions is a subset of the set of cunbiased estimators and the proposed luccrb may be an informative lower bound in cases where the corresponding ccrb is not in the simulations we examine linear and nonlinear estimation problems under nonlinear constraints in which the cml estimator is shown to be cunbiased and the luccrb is an informative lower bound on the wmse while the corresponding ccrb on the wmse is not a lower bound and is not informative in the nonasymptotic region | [['the', 'constrained', 'cramerrao', 'bound', 'ccrb', 'is', 'a', 'lower', 'bound', 'on', 'the', 'meansquarederror', 'mse', 'of', 'estimators', 'that', 'satisfy', 'some', 'unbiasedness', 'conditions', 'although', 'the', 'ccrb', 'unbiasedness', 'conditions', 'are', 'satisfied', 'asymptotically', 'by', 'the', 'constrained', 'maximum', 'likelihood', 'cml', 'estimator', 'in', 'the', 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1,802.02385 | Risk of coinfection outbreaks in temporal networks: a case study of a
hospital contact network | We study the spreading of cooperative infections in an empirical temporal
network of contacts between people, including health care workers and patients,
in a hospital. The system exhibits a phase transition leading to one or several
endemic branches, depending on the connectivity pattern and the temporal
correlations. There are two endemic branches in the original setting and the
non-cooperative case. However, the cooperative interaction between infections
reinforces the upper branch, leading to a smaller epidemic threshold and a
higher probability for having a big outbreak. We show the microscopic
mechanisms leading to these differences, characterize three different risks,
and use the influenza features as an example for this dynamics.
| physics.soc-ph q-bio.PE | we study the spreading of cooperative infections in an empirical temporal network of contacts between people including health care workers and patients in a hospital the system exhibits a phase transition leading to one or several endemic branches depending on the connectivity pattern and the temporal correlations there are two endemic branches in the original setting and the noncooperative case however the cooperative interaction between infections reinforces the upper branch leading to a smaller epidemic threshold and a higher probability for having a big outbreak we show the microscopic mechanisms leading to these differences characterize three different risks and use the influenza features as an example for this dynamics | [['we', 'study', 'the', 'spreading', 'of', 'cooperative', 'infections', 'in', 'an', 'empirical', 'temporal', 'network', 'of', 'contacts', 'between', 'people', 'including', 'health', 'care', 'workers', 'and', 'patients', 'in', 'a', 'hospital', 'the', 'system', 'exhibits', 'a', 'phase', 'transition', 'leading', 'to', 'one', 'or', 'several', 'endemic', 'branches', 'depending', 'on', 'the', 'connectivity', 'pattern', 'and', 'the', 'temporal', 'correlations', 'there', 'are', 'two', 'endemic', 'branches', 'in', 'the', 'original', 'setting', 'and', 'the', 'noncooperative', 'case', 'however', 'the', 'cooperative', 'interaction', 'between', 'infections', 'reinforces', 'the', 'upper', 'branch', 'leading', 'to', 'a', 'smaller', 'epidemic', 'threshold', 'and', 'a', 'higher', 'probability', 'for', 'having', 'a', 'big', 'outbreak', 'we', 'show', 'the', 'microscopic', 'mechanisms', 'leading', 'to', 'these', 'differences', 'characterize', 'three', 'different', 'risks', 'and', 'use', 'the', 'influenza', 'features', 'as', 'an', 'example', 'for', 'this', 'dynamics']] | [-0.15899981238340977, 0.09026340227130877, -0.08578871979608858, 0.1333038094955488, -0.016201613184679813, -0.1643443276994614, 0.1159822209353704, 0.3441860588660481, -0.22386452530183906, -0.2598627650631814, 0.11050945212060603, -0.36257443187433647, -0.22671061137118675, 0.12526172777817268, -0.08446738369113535, -0.01957792153906658, 0.06040080742261142, 0.07044668409358197, 0.038680119756096545, -0.23063089232144177, 0.3362733866985238, -0.008280149195343256, 0.30685302533995396, 0.07299990123650486, 0.06928142811141806, -0.012030213740184356, 0.029135416776642477, -0.01189224114492023, -0.13469789783393435, 0.08286198166651873, 0.3152237426400945, 0.13566955404116884, 0.35340560207126337, -0.4514138007434, -0.2233835502662226, 0.14410597731683986, 0.1573414498162584, 0.14443520405714255, 0.007046190730227721, -0.2834842691364604, 0.026516047331991546, -0.19481513674110346, -0.10171488487725616, 0.0015759925622868976, -0.0006536256624471157, -0.000767647800326279, -0.28146189389699094, 0.08929147668729681, 0.002841790228090975, 0.13409159656954767, -0.04889571671416863, -0.09593829516975055, -0.05599716979446351, 0.2429678340104981, 0.10361803158980991, -0.05838854088225838, 0.12117449687195754, -0.18066092780919388, -0.1343374685063924, 0.31957214840029907, 0.024798055049117414, -0.1278187420706205, 0.22634304401148622, -0.13016843573626027, -0.10829813034623997, 0.1244894358684061, 0.2207070437394544, 0.04355687982404878, -0.1662928743219567, -0.04654508104404742, 0.042312132544952245, 0.14781728309072947, 0.07455222320384047, 0.007404549265229101, 0.15324432206117983, 0.23295525727321506, 0.09589719715092433, 0.10889271314580574, -0.09946868602622198, -0.16418529476184363, -0.20906287395831094, -0.11238916553642361, -0.08409986985044195, 0.024835532079365345, -0.15378724613134565, -0.17022657705419655, 0.4407528562283297, 0.15290982305251677, 0.18384338011367057, 0.06093002095340042, 0.24843376006614928, 0.04972442558116425, 0.0313721866952469, 0.058517112999026656, 0.19091496643943523, 0.051252403223904175, 0.11051384768440226, -0.25547377977075925, 0.15087928395684158, -0.024010904789357575] |
1,802.02386 | Cyclotomic torsion points in elliptic schemes | An elliptic curve defined over a number field possesses only a finite number
of torsion points defined over the cyclotomic closure of its field of
definition. In analogy to the relative version of the Manin-Mumford conjecture
stated by Masser and Zannier, we propose a family version of the above
statement and prove it under a suitable integrality condition.
| math.NT | an elliptic curve defined over a number field possesses only a finite number of torsion points defined over the cyclotomic closure of its field of definition in analogy to the relative version of the maninmumford conjecture stated by masser and zannier we propose a family version of the above statement and prove it under a suitable integrality condition | [['an', 'elliptic', 'curve', 'defined', 'over', 'a', 'number', 'field', 'possesses', 'only', 'a', 'finite', 'number', 'of', 'torsion', 'points', 'defined', 'over', 'the', 'cyclotomic', 'closure', 'of', 'its', 'field', 'of', 'definition', 'in', 'analogy', 'to', 'the', 'relative', 'version', 'of', 'the', 'maninmumford', 'conjecture', 'stated', 'by', 'masser', 'and', 'zannier', 'we', 'propose', 'a', 'family', 'version', 'of', 'the', 'above', 'statement', 'and', 'prove', 'it', 'under', 'a', 'suitable', 'integrality', 'condition']] | [-0.27426433829783364, 0.05098920576660773, -0.1421954208535367, 0.061796764923452305, -0.07269234203829847, -0.1259634653507764, 0.03542620806697885, 0.2525363985192159, -0.3201542883180082, -0.296005060253986, 0.07873450643342823, -0.1728012155187477, -0.1222151072117789, 0.25008495399278813, -0.18533382358446973, 0.011654706863517841, 0.024946332860994954, 0.09648189876742404, -0.07356279861214089, -0.33508210719145576, 0.354382427730437, -0.04473541779764768, 0.22304434491851335, 0.09640250723018183, 0.1113695557518252, 0.0754559059900328, 0.04722244721227165, 0.039439701041656325, -0.16118438546706376, 0.12379645838418268, 0.2143574164987638, 0.1094351665173047, 0.2886578218433364, -0.3094535930852952, -0.1561837395982303, 0.1776249625174136, 0.07431505985782835, 0.002180508032826514, -0.00035297060144487126, -0.2401965819299221, 0.13801642558697996, -0.17969249516468624, -0.2189605283663319, -0.037091565121703876, 0.01563287961120107, -0.004916832364838699, -0.2405159117589737, -0.0027342225176057427, 0.14314194985101872, 0.18928653674585552, -0.08015932335622673, -0.08253249416834321, -0.008767301867041609, -0.027429163403776956, 0.057103667528657566, 0.06642987626074845, 0.033055435167625546, -0.11908117768451057, -0.09067393457195883, 0.33671297144510076, -0.0872605116235028, -0.18521741822618862, 0.06517037619226451, -0.11041812630016999, -0.11723520998553984, 0.11676577532439139, 0.061204179671817814, 0.16382248046133538, -0.01676183781618702, 0.19065544774940493, -0.18442045733461093, 0.10225988056004882, 0.15966441281589455, -0.009144623860202986, 0.14710235487316445, 0.053879891763088, 0.1031187523812746, 0.16204787919233585, 0.003648651442651091, -0.07557732603865965, -0.36500383463912994, -0.2051475616332529, -0.16101484025571625, 0.14211392402648926, -0.0832881528260949, -0.22165647550518142, 0.399581926457327, 0.09654736705124378, 0.17845228521538706, 0.13746785990701155, 0.18801555061584402, 0.13322947155041942, 0.044919958651258515, 0.07561244356349625, 0.1295563197084542, 0.26544255540497474, 0.024731366168547035, -0.15100008653123573, 0.011355951886046035, 0.22158660758929005] |
1,802.02387 | Excitonic magnet in external field: complex order parameter and spin
currents | We investigate spin-triplet exciton condensation in the two-orbital Hubbard
model close to half filling by means of dynamical mean-field theory. Employing
an impurity solver that handles complex off-diagonal hybridization functions,
we study the behavior of excitonic condensate in stoichiometric and doped
systems subject to external magnetic field. We find a general tendency of the
triplet order parameter to lay perpendicular with the applied field and
identify exceptions from this rule. For solutions exhibiting k-odd spin
textures, we discuss the Bloch theorem which, in the absence of spin-orbit
coupling, forbids the appearance of spontaneous net spin current. We
demonstrate that the Bloch theorem is not obeyed by the dynamical mean-field
theory.
| cond-mat.str-el | we investigate spintriplet exciton condensation in the twoorbital hubbard model close to half filling by means of dynamical meanfield theory employing an impurity solver that handles complex offdiagonal hybridization functions we study the behavior of excitonic condensate in stoichiometric and doped systems subject to external magnetic field we find a general tendency of the triplet order parameter to lay perpendicular with the applied field and identify exceptions from this rule for solutions exhibiting kodd spin textures we discuss the bloch theorem which in the absence of spinorbit coupling forbids the appearance of spontaneous net spin current we demonstrate that the bloch theorem is not obeyed by the dynamical meanfield theory | [['we', 'investigate', 'spintriplet', 'exciton', 'condensation', 'in', 'the', 'twoorbital', 'hubbard', 'model', 'close', 'to', 'half', 'filling', 'by', 'means', 'of', 'dynamical', 'meanfield', 'theory', 'employing', 'an', 'impurity', 'solver', 'that', 'handles', 'complex', 'offdiagonal', 'hybridization', 'functions', 'we', 'study', 'the', 'behavior', 'of', 'excitonic', 'condensate', 'in', 'stoichiometric', 'and', 'doped', 'systems', 'subject', 'to', 'external', 'magnetic', 'field', 'we', 'find', 'a', 'general', 'tendency', 'of', 'the', 'triplet', 'order', 'parameter', 'to', 'lay', 'perpendicular', 'with', 'the', 'applied', 'field', 'and', 'identify', 'exceptions', 'from', 'this', 'rule', 'for', 'solutions', 'exhibiting', 'kodd', 'spin', 'textures', 'we', 'discuss', 'the', 'bloch', 'theorem', 'which', 'in', 'the', 'absence', 'of', 'spinorbit', 'coupling', 'forbids', 'the', 'appearance', 'of', 'spontaneous', 'net', 'spin', 'current', 'we', 'demonstrate', 'that', 'the', 'bloch', 'theorem', 'is', 'not', 'obeyed', 'by', 'the', 'dynamical', 'meanfield', 'theory']] | [-0.19678637495354367, 0.17876873067699225, -0.02053334808102508, 0.10182830372994596, -0.05193465469743718, -0.1432754430644722, 0.08803368687248704, 0.3539966835217042, -0.24417671060443602, -0.2557144812054255, -0.02467842027015815, -0.27500274693593385, -0.15948723621708763, 0.10833823347771117, 0.05766096712005409, -0.015207350279458545, -0.0394447334819812, -0.02424398460002108, -0.11018674078566784, -0.21081399116665125, 0.3420172799293968, -0.05828352718698707, 0.284824571153149, 0.09285354175689546, 0.039210014659064735, 0.05087625018574975, 0.10959006314673884, 0.007655088823627342, -0.14231033150744307, 0.05660503538833423, 0.21585544288920408, -0.052988259376698724, 0.22700379131869836, -0.46120849734341557, -0.19624081690880385, 0.05106645482592285, 0.13340082895222374, 0.21148832220986316, -0.040951910845681345, -0.3093767062337561, 0.03381022705527192, -0.18985011877746066, -0.2041452048134736, -0.15038105197758836, -0.03696881876835092, -0.01648919416845522, -0.26044676448218523, 0.13030172399329867, 0.10281281157724813, 0.09029926936226812, -0.1303255780875175, -0.08042868772092995, -0.07268650743856349, 0.0300427647349848, 0.07465414575576275, 0.0394275510196828, 0.1156690211024728, -0.15026161935476756, -0.13148745028937067, 0.3519827607257122, -0.09716989401706748, -0.16429304255341942, 0.1387638544367457, -0.17207259667867963, -0.07973753172396258, 0.12650629440745847, 0.10796639829905788, 0.09647334467788989, -0.13125518474050543, 0.10761757131073285, -0.04974796664477749, 0.17440520588477904, 0.00573513166164048, 0.05730146529332904, 0.2699257428080521, 0.17068423709874464, 0.0527260801712559, 0.16076720971614122, -0.0932774586433714, -0.18054241305640475, -0.2426995149728927, -0.11841822481417859, -0.19406218369787728, 0.1038547248602051, -0.05139157957349777, -0.18948913699185307, 0.4142503302036361, 0.20329748899252578, 0.13988532143306326, -0.017475747009104287, 0.20749784454026005, 0.16699671317738565, 0.0754183094440536, 0.018183136663653635, 0.26206473636186933, 0.2031790606973862, 0.058609349695457655, -0.3360092419728806, -0.004553287946195765, 0.08967176599914885] |
1,802.02388 | Definable Ellipsoid Method, Sums-of-Squares Proofs, and the Graph
Isomorphism Problem | The ellipsoid method is an algorithm that solves the (weak) feasibility and
linear optimization problems for convex sets by making oracle calls to their
(weak) separation problem. We observe that the previously known method for
showing that this reduction can be done in fixed-point logic with counting
(FPC) for linear and semidefinite programs applies to any family of explicitly
bounded convex sets. We use this observation to show that the exact feasibility
problem for semidefinite programs is expressible in the infinitary version of
FPC. As a corollary we get that, for the isomorphism problem, the
Lasserre/Sums-of-Squares semidefinite programming hierarchy of relaxations
collapses to the Sherali-Adams linear programming hierarchy, up to a small loss
in the degree.
| cs.LO cs.CC math.OC | the ellipsoid method is an algorithm that solves the weak feasibility and linear optimization problems for convex sets by making oracle calls to their weak separation problem we observe that the previously known method for showing that this reduction can be done in fixedpoint logic with counting fpc for linear and semidefinite programs applies to any family of explicitly bounded convex sets we use this observation to show that the exact feasibility problem for semidefinite programs is expressible in the infinitary version of fpc as a corollary we get that for the isomorphism problem the lasserresumsofsquares semidefinite programming hierarchy of relaxations collapses to the sheraliadams linear programming hierarchy up to a small loss in the degree | [['the', 'ellipsoid', 'method', 'is', 'an', 'algorithm', 'that', 'solves', 'the', 'weak', 'feasibility', 'and', 'linear', 'optimization', 'problems', 'for', 'convex', 'sets', 'by', 'making', 'oracle', 'calls', 'to', 'their', 'weak', 'separation', 'problem', 'we', 'observe', 'that', 'the', 'previously', 'known', 'method', 'for', 'showing', 'that', 'this', 'reduction', 'can', 'be', 'done', 'in', 'fixedpoint', 'logic', 'with', 'counting', 'fpc', 'for', 'linear', 'and', 'semidefinite', 'programs', 'applies', 'to', 'any', 'family', 'of', 'explicitly', 'bounded', 'convex', 'sets', 'we', 'use', 'this', 'observation', 'to', 'show', 'that', 'the', 'exact', 'feasibility', 'problem', 'for', 'semidefinite', 'programs', 'is', 'expressible', 'in', 'the', 'infinitary', 'version', 'of', 'fpc', 'as', 'a', 'corollary', 'we', 'get', 'that', 'for', 'the', 'isomorphism', 'problem', 'the', 'lasserresumsofsquares', 'semidefinite', 'programming', 'hierarchy', 'of', 'relaxations', 'collapses', 'to', 'the', 'sheraliadams', 'linear', 'programming', 'hierarchy', 'up', 'to', 'a', 'small', 'loss', 'in', 'the', 'degree']] | [-0.11990382191927537, -0.020632132574910825, -0.05864622017935566, 0.12918374488211196, -0.12847719995061987, -0.16177126132761654, 0.0785594644004722, 0.3327702957974828, -0.4154059684470944, -0.31286416501211733, 0.13770166154971103, -0.24072089350741843, -0.15019487999379635, 0.21336452224008415, -0.07821485467417084, 0.13082820114720126, 0.06934247640892863, -0.025502945717586125, -0.12090316349539258, -0.29997919401072937, 0.30373255552055883, -0.03326836408966261, 0.1757389930198374, 0.07890576578514731, 0.1380052148162023, 0.030067936477818243, 0.08835590757915507, 0.09674067870187371, -0.06573740746174261, 0.11727586550962017, 0.3394716851008327, 0.2651657903232895, 0.3207428728108821, -0.3841125726294906, -0.08936604894697667, 0.11527124853986923, 0.11001747844173856, 0.12734781462982622, -0.026378580808396574, -0.22071505112816459, 0.13216288465925533, -0.11018317316205788, -0.0989543531211498, -0.11569858049042522, -0.007521544074963617, -0.0314824563410619, -0.3183969711803872, 0.024113645813549342, 0.1398343866367055, 0.007177471110354299, -0.0339745254782231, -0.11524767263124333, 0.06328043641279572, 0.010874734418061765, 0.0034895350387238937, 0.03521183460302975, 0.06615748636667496, -0.03775297844397795, -0.19979920142745275, 0.3445329886997807, -0.05873082236629789, -0.24848033842509207, 0.15167322792112828, -0.07899934673357917, -0.16966679750779726, 0.12444431572018758, 0.17646930083915915, 0.17786121357070364, -0.1186503320041558, 0.1593029703043968, -0.13772878684913334, 0.20002275827624227, 0.10423161510945014, -0.0133786143573082, 0.11785486120447193, 0.15618066209894807, 0.18303205681073925, 0.2182186005535819, 0.04140445109780716, -0.07667528491305269, -0.2755840148523693, -0.1304008636841267, -0.18926035279772527, 0.013749045959633329, -0.09793984974587701, -0.17590441180636054, 0.35474190649616977, 0.12020808883092325, 0.1277579287957886, 0.22961502231090614, 0.30134104550208735, 0.1774476395342904, 0.07782330932544858, 0.062092799110257106, 0.19627620168030263, 0.13037613028781894, 0.06440736371213975, -0.2596101352297094, 0.06926602744902281, 0.13752697343247153] |
1,802.02389 | Organic crystalline polymers: structural properties and way to synthesis
under high pressure | We consider different structures, which can be obtained by polymerization of
aromatic organic molecules under high pressures. These 2D and 3D covalently
bonded organic polymers and their functionalization can pave the way to
production of energy storage and conversion devices. High-pressure synthesis
might serve as a useful hint for production of these structures and their
functionalized analogs by means of wet chemical synthesis.
| cond-mat.mtrl-sci | we consider different structures which can be obtained by polymerization of aromatic organic molecules under high pressures these 2d and 3d covalently bonded organic polymers and their functionalization can pave the way to production of energy storage and conversion devices highpressure synthesis might serve as a useful hint for production of these structures and their functionalized analogs by means of wet chemical synthesis | [['we', 'consider', 'different', 'structures', 'which', 'can', 'be', 'obtained', 'by', 'polymerization', 'of', 'aromatic', 'organic', 'molecules', 'under', 'high', 'pressures', 'these', '2d', 'and', '3d', 'covalently', 'bonded', 'organic', 'polymers', 'and', 'their', 'functionalization', 'can', 'pave', 'the', 'way', 'to', 'production', 'of', 'energy', 'storage', 'and', 'conversion', 'devices', 'highpressure', 'synthesis', 'might', 'serve', 'as', 'a', 'useful', 'hint', 'for', 'production', 'of', 'these', 'structures', 'and', 'their', 'functionalized', 'analogs', 'by', 'means', 'of', 'wet', 'chemical', 'synthesis']] | [-0.08473212078873378, 0.19112299549733364, -0.027557890352216504, -0.030183324974680705, -0.003524063310275475, -0.1703567786275276, 0.06737703507736562, 0.45167915653141716, -0.29525187617493054, -0.3397099294418853, 0.028656296321146545, -0.2404473674084459, -0.14023133804873814, 0.17536345756952726, 0.024224309768113825, 0.06399638358030528, 0.007516556417584301, -0.1691319817854535, -0.009866690677073266, -0.1694826664817002, 0.20801048920977683, 0.10608199354083765, 0.2805580423169193, 0.1173329844226366, 0.00457286075614984, -0.06414844539563452, 0.07089827144111965, -0.020767458167577548, -0.15673148327891434, 0.2255407579405795, 0.32358171830752064, -0.0028147068732078113, 0.1236756651677073, -0.5411168541463595, -0.28263787366449833, 0.06301999344889607, 0.1402107983317581, 0.14818101385719187, -0.18846608992547742, -0.23306649924802875, 0.08516895817962312, -0.15034792569303324, -0.09865737948469662, -0.1261783729691709, -0.051315648725167626, 0.11089386295763747, -0.21192218908404428, 0.04917727254094586, -0.0356934785312559, 0.07647512894537714, -0.1338974210862828, -0.1964554682314869, -0.12798066641248407, 0.11119259609323409, -0.06251782249282337, -0.08396267640360054, 0.3222584868116038, -0.1310590293280603, -0.09765012122483717, 0.4792669526641331, -0.04984624837599103, -0.12211536434257314, 0.29488098419951425, -0.07751753379309935, -0.15267250459227297, 0.168918024571169, 0.16242885397421936, 0.15314599580781918, -0.18825599477286376, -0.018996730140070358, 0.03695334797902476, 0.1337279073731412, 0.15364694874733686, 0.09771949191030765, 0.3135347687713211, 0.2356405596725554, -0.007503352748850982, 0.16962312988101666, -0.03572019179987292, 0.0039984046348503655, -0.15537182016978188, -0.319958446266514, -0.12023075853311826, 0.11772500699947751, -0.06624098788551425, -0.1292383654545697, 0.3236556983005906, 0.06215415834375317, 0.14680387047193352, -0.02104788864704056, 0.22515786257165943, 0.012126179158850203, 0.13083900845358296, -0.06419457434602673, 0.20029511619063597, 0.141420112368429, 0.08256548569382478, -0.2114632162302437, 0.1496618921158924, -0.013010137448353427] |
1,802.0239 | Real zeros of random analytic functions associated with geometries of
constant curvature | Let $\xi_0, \xi_1, \dots$ be i.i.d. random variables with zero mean and unit
variance. We study the following four families of random analytic functions:
$\sum_{k=0}^n \sqrt{\binom nk} \xi_k z^k$ (spherical polynomials),
$\sum_{k=0}^\infty \sqrt{\frac{n^k}{k!}} \xi_k z^k$ (flat random analytic
function), $\sum_{k=0}^\infty \sqrt{\binom {n+k-1} k} \xi_k z^k$ (hyperbolic
random analytic functions), $\sum_{k=0}^n \sqrt{\frac{n^k}{k!}} \xi_k z^k$
(Weyl polynomials). We compute explicitly the limiting mean density of real
zeroes of these random functions. More precisely, we provide a formula for
$\lim_{n\to\infty} n^{-1/2} \mathbb{E}N_n[a,b]$, where $N_n[a, b]$ is the
number of zeroes in the interval $[a,b]$.
| math.PR | let xi_0 xi_1 dots be iid random variables with zero mean and unit variance we study the following four families of random analytic functions sum_k0n sqrtbinom nk xi_k zk spherical polynomials sum_k0infty sqrtfracnkk xi_k zk flat random analytic function sum_k0infty sqrtbinom nk1 k xi_k zk hyperbolic random analytic functions sum_k0n sqrtfracnkk xi_k zk weyl polynomials we compute explicitly the limiting mean density of real zeroes of these random functions more precisely we provide a formula for lim_ntoinfty n12 mathbben_nab where n_na b is the number of zeroes in the interval ab | [['let', 'xi_0', 'xi_1', 'dots', 'be', 'iid', 'random', 'variables', 'with', 'zero', 'mean', 'and', 'unit', 'variance', 'we', 'study', 'the', 'following', 'four', 'families', 'of', 'random', 'analytic', 'functions', 'sum_k0n', 'sqrtbinom', 'nk', 'xi_k', 'zk', 'spherical', 'polynomials', 'sum_k0infty', 'sqrtfracnkk', 'xi_k', 'zk', 'flat', 'random', 'analytic', 'function', 'sum_k0infty', 'sqrtbinom', 'nk1', 'k', 'xi_k', 'zk', 'hyperbolic', 'random', 'analytic', 'functions', 'sum_k0n', 'sqrtfracnkk', 'xi_k', 'zk', 'weyl', 'polynomials', 'we', 'compute', 'explicitly', 'the', 'limiting', 'mean', 'density', 'of', 'real', 'zeroes', 'of', 'these', 'random', 'functions', 'more', 'precisely', 'we', 'provide', 'a', 'formula', 'for', 'lim_ntoinfty', 'n12', 'mathbben_nab', 'where', 'n_na', 'b', 'is', 'the', 'number', 'of', 'zeroes', 'in', 'the', 'interval', 'ab']] | [-0.24936499846962226, 0.19308949747287174, -0.07691757585853339, 0.062362606589244134, -0.024314016794018886, -0.18996371831197073, 0.031127092246349682, 0.3664786865825162, -0.24600706183735063, -0.08839711418019279, 0.028821735762004905, -0.338799307188567, -0.18204800240038072, 0.15160965453833342, -0.012779412271372755, 0.08164174794493352, -0.10273944997119115, 0.05874082204536535, -0.06096445860560326, -0.32917488050811433, 0.2768334782737143, -0.13142815534682833, 0.10567262163933586, -0.06872164262732601, 0.07683422814725953, 0.06758494549841784, 0.01431201558888835, -0.06949236664427992, -0.27533336283967774, 0.015040328494711395, 0.22845202680019772, 0.060731803406687344, 0.27268699515775285, -0.3209186132668572, -0.1028278325629585, 0.23913909020450186, 0.23467389470075858, -0.10013503999284962, 0.0787333987233818, -0.22277821873259895, 0.1191442495869363, -0.07091623521683847, -0.23052836244597155, -0.04452638960279086, 0.1116846421130878, 0.13073400455691359, -0.392507860875305, 0.10935002354740658, 0.04337091502350043, 0.12473842691191855, 0.02262386293424403, -0.29011066740050034, 0.009356593337896115, 0.06473379974417827, -0.016787206395255293, 0.11596810940707869, 0.07349664037499358, -0.005036715144181953, -0.022510526171091068, 0.30587882637320196, -0.060008560811333794, -0.2957738273722284, 0.012255192350815325, -0.285205856644932, -0.144083531918552, 0.10760759060435435, 0.11243583261692787, 0.17437613034511315, -0.07542067256975261, 0.24045484378208024, -0.1398547642001444, 0.09423903753871427, 0.12924302271293367, 0.007061252315693042, 0.10413864456007586, -0.06645305484314175, 0.018513238254715413, 0.1261730669874369, 0.0014394266311736669, -0.08716457053909407, -0.3252937279203359, -0.13276814438183518, -0.2814983047764091, 0.2211059764958918, -0.3017727013456512, -0.24843445888391752, 0.3414192527970847, 0.060243857268463166, 0.24191241720143486, 0.224963687037063, 0.1787557232851053, 0.1921352101085872, -0.044866856271811924, 0.07522742219597978, -0.0700907404151033, 0.22001740607323453, -0.05664570050807122, -0.1244714814950438, -0.03252872093649143, 0.1881384119637968] |
1,802.02391 | High scale boundary conditions with an additional complex singlet | We investigate Planck scale boundary conditions on Higgs quartic interactions
and their $\beta$-functions in the SM augmented by an additional complex
scalar. We use renormalisation group running at two-loops, and include both
theoretical and experimental constraints. We find that the boundary condition
$\lambda=\beta_\lambda=0$ at the Planck scale is compatible with the current
Higgs and top mass measurements, but requires additional scalars lighter than
about $600\,$GeV.
| hep-ph | we investigate planck scale boundary conditions on higgs quartic interactions and their betafunctions in the sm augmented by an additional complex scalar we use renormalisation group running at twoloops and include both theoretical and experimental constraints we find that the boundary condition lambdabeta_lambda0 at the planck scale is compatible with the current higgs and top mass measurements but requires additional scalars lighter than about 600gev | [['we', 'investigate', 'planck', 'scale', 'boundary', 'conditions', 'on', 'higgs', 'quartic', 'interactions', 'and', 'their', 'betafunctions', 'in', 'the', 'sm', 'augmented', 'by', 'an', 'additional', 'complex', 'scalar', 'we', 'use', 'renormalisation', 'group', 'running', 'at', 'twoloops', 'and', 'include', 'both', 'theoretical', 'and', 'experimental', 'constraints', 'we', 'find', 'that', 'the', 'boundary', 'condition', 'lambdabeta_lambda0', 'at', 'the', 'planck', 'scale', 'is', 'compatible', 'with', 'the', 'current', 'higgs', 'and', 'top', 'mass', 'measurements', 'but', 'requires', 'additional', 'scalars', 'lighter', 'than', 'about', '600gev']] | [-0.14796226943508373, 0.22883177357493878, -0.04027247881913354, 0.1390122533284739, -0.1437111159284541, -0.19397551606380148, 0.005988885633996688, 0.3454702821036335, -0.1945903768937569, -0.335510639968561, 0.09804188091766264, -0.29392374129383825, -0.04715625570679549, 0.15970734700385947, 0.04478438093792647, 0.07337958371499553, 0.06290280603570864, 0.04447484694537707, -0.08729731660787365, -0.2795536763005657, 0.3647546721040271, 0.05720923536136979, 0.16896217977046035, 0.12318657347350381, 0.07876047373429174, -0.008279694215161726, -0.05679324934317265, -0.06013339920900762, -0.14674643718592506, 0.09640964424761478, 0.09381063241744414, 0.018819257464201655, 0.13623863080283627, -0.4080145242114668, -0.1541223717504181, 0.09352530084288446, 0.11249100651184563, 0.09733988050356857, -0.04707496883747808, -0.30003725027199835, 0.10956142205395736, -0.13016917947970796, -0.11315486949024489, -0.08123280749714468, -0.09582866132404888, -0.15547806612448767, -0.3388406496451353, 0.08969544397405116, -0.09653261402854696, 0.08798093411314767, -0.05279894743216573, -0.17017115249473136, -0.09713889703562018, 0.01241134922747733, 0.1410472457027936, -0.008446278618066572, 0.18499368227639934, -0.2001810687197576, -0.08693313472213049, 0.39825468556955457, -0.154316809535203, -0.18172188358585117, 0.18793326726154191, -0.14557158813840942, -0.17453290022763213, 0.069191669979773, 0.15080922758716042, 0.025189917148964014, -0.12392752338200808, 0.23238595241491566, -0.012296256678382633, 0.19961889483965933, 0.07551497261738405, 0.016122213017752074, 0.21912691980833188, 0.1282581203558948, 0.11264307569945231, 0.03214994873997057, -0.004514854928856948, -0.08931310354819288, -0.42708271025912836, -0.10081106488360092, -0.0608797708991915, 0.03160409136035014, -0.1598475904966108, -0.09044223847740795, 0.34942972325370647, 0.20725004973064642, 0.24164627178106457, 0.08015961731143761, 0.2876686170347966, 0.0728394132147514, 0.1498110497232119, 0.06175483120023273, 0.30737149936612695, 0.10254305889611715, 0.11757725684856268, -0.23199405530613149, -0.04181482422427507, 0.051799791617668234] |
1,802.02392 | Reply to comment in arXiv:1802.01382 | Here we respond to a comment [arXiv:1802.01382] submitted recently on
'Experimental Verification of a Jarzynski-Related Information-Theoretic
Equality by a Single Trapped Ion' PRL 120 010601 (2018). We consider that the
argument is the thermalization in a quantum system, which is different from the
counterpart in conventional thermodynamics.
| quant-ph | here we respond to a comment arxiv180201382 submitted recently on experimental verification of a jarzynskirelated informationtheoretic equality by a single trapped ion prl 120 010601 2018 we consider that the argument is the thermalization in a quantum system which is different from the counterpart in conventional thermodynamics | [['here', 'we', 'respond', 'to', 'a', 'comment', 'arxiv180201382', 'submitted', 'recently', 'on', 'experimental', 'verification', 'of', 'a', 'jarzynskirelated', 'informationtheoretic', 'equality', 'by', 'a', 'single', 'trapped', 'ion', 'prl', '120', '010601', '2018', 'we', 'consider', 'that', 'the', 'argument', 'is', 'the', 'thermalization', 'in', 'a', 'quantum', 'system', 'which', 'is', 'different', 'from', 'the', 'counterpart', 'in', 'conventional', 'thermodynamics']] | [-0.12162597348085707, 0.15334728066292075, -0.10403057971141405, 0.009788647713139653, -0.02578960665398174, -0.18159721423354414, 0.09148942155039144, 0.28488628678023814, -0.17103304048586224, -0.2923354622804456, 0.07449410611039234, -0.32538977853125994, -0.11515334124366443, 0.17647556258986394, -0.09953295221397032, 0.08960938784811232, 0.03592886957857344, 0.03332654290004737, -0.0480702489355786, -0.24702638479260106, 0.2550962593406439, 0.09439130744948569, 0.30267228834951915, 0.09998968527134922, 0.08653491834799448, 0.012776551535353065, 0.04676661505881283, 0.02025363167954816, -0.1694692389892427, 0.09876199620258477, 0.18927527303910918, 0.11750504029914736, 0.28898096746868557, -0.4108400665223598, -0.22235185810261301, 0.027505826311082476, 0.04857017551548779, 0.18054825894068927, -0.0557731874144843, -0.29788894450498954, 0.026158337708976534, -0.20752317441834345, -0.05733028552494943, -0.04257569503453043, 0.0597269950227605, -0.019001342695102924, -0.22322022095322608, 0.1058629710227251, 0.11092195297694868, 0.06423895301090346, -0.05096662845462561, -0.005525414311947922, 0.07419196781184938, 0.00943761927386125, -0.03904123964667734, 0.05923303992797931, 0.1378350405746864, -0.040735122282058, -0.16652376653833523, 0.38461547111574973, -0.055765210143807864, -0.15281458625362979, 0.22458624509680603, -0.10702098784968257, -0.1728570589899189, 0.031853407310942806, 0.15980227324697707, 0.13126703939504095, -0.1749896650513013, 0.09479042649683025, -0.09910760366668304, 0.18575850137316996, 0.09119253671831555, 0.009518856286174722, 0.24325879220333363, 0.15366909510145585, -0.024606417533424164, 0.19061783518571043, -0.05724539339231948, -0.11885414798226622, -0.30029653675026363, -0.1944827983621508, -0.22568918358948495, 0.11041529216907091, 0.043652949057933356, -0.07000162698742417, 0.3533527155717214, 0.22358719093932045, 0.1996444069676929, -0.018649308898279236, 0.27663189387983744, 0.10323508419613871, -0.0027236184312237634, 0.06539389489011632, 0.31407828827699025, 0.08546560421689517, 0.14002654338255524, -0.23486854020092224, 0.0032235808360079926, 0.07629489315052827] |
1,802.02393 | Depth dependant element analysis of PbMg$_{1/3}$Nb$_{2/3}$O$_{3}$ using
muonic X-rays | The relaxor PbMg$_{1/3}$Nb$_{2/3}$O$_{3}$ (PMN) has received attention due to
its potential applications as a piezoelectric when doped with PbTiO$_{3}$ (PT).
Previous results have found that there are two phases existing in the system,
one linked to the near-surface regions of the sample, the other in the bulk.
However, the exact origin of these two phases is unclear. In this paper, depth
dependant analysis results from negative muon implantation experiments are
presented. It is shown that the Pb content is constant throughout all depths
probed in the sample, but the Mg and Nb content changes in the near-surface
region below 100$\mu$m. At a implantation depth of 60$\mu$m, it is found that
there is a 25% increase in Mg content, with a simultaneous 5% decrease in Nb
content in order to maintain charge neutrality. These results show that the
previously observed skin effects in PMN are due to a change in concentration
and unit cell.
| cond-mat.mtrl-sci | the relaxor pbmg_13nb_23o_3 pmn has received attention due to its potential applications as a piezoelectric when doped with pbtio_3 pt previous results have found that there are two phases existing in the system one linked to the nearsurface regions of the sample the other in the bulk however the exact origin of these two phases is unclear in this paper depth dependant analysis results from negative muon implantation experiments are presented it is shown that the pb content is constant throughout all depths probed in the sample but the mg and nb content changes in the nearsurface region below 100mum at a implantation depth of 60mum it is found that there is a 25 increase in mg content with a simultaneous 5 decrease in nb content in order to maintain charge neutrality these results show that the previously observed skin effects in pmn are due to a change in concentration and unit cell | [['the', 'relaxor', 'pbmg_13nb_23o_3', 'pmn', 'has', 'received', 'attention', 'due', 'to', 'its', 'potential', 'applications', 'as', 'a', 'piezoelectric', 'when', 'doped', 'with', 'pbtio_3', 'pt', 'previous', 'results', 'have', 'found', 'that', 'there', 'are', 'two', 'phases', 'existing', 'in', 'the', 'system', 'one', 'linked', 'to', 'the', 'nearsurface', 'regions', 'of', 'the', 'sample', 'the', 'other', 'in', 'the', 'bulk', 'however', 'the', 'exact', 'origin', 'of', 'these', 'two', 'phases', 'is', 'unclear', 'in', 'this', 'paper', 'depth', 'dependant', 'analysis', 'results', 'from', 'negative', 'muon', 'implantation', 'experiments', 'are', 'presented', 'it', 'is', 'shown', 'that', 'the', 'pb', 'content', 'is', 'constant', 'throughout', 'all', 'depths', 'probed', 'in', 'the', 'sample', 'but', 'the', 'mg', 'and', 'nb', 'content', 'changes', 'in', 'the', 'nearsurface', 'region', 'below', '100mum', 'at', 'a', 'implantation', 'depth', 'of', '60mum', 'it', 'is', 'found', 'that', 'there', 'is', 'a', '25', 'increase', 'in', 'mg', 'content', 'with', 'a', 'simultaneous', '5', 'decrease', 'in', 'nb', 'content', 'in', 'order', 'to', 'maintain', 'charge', 'neutrality', 'these', 'results', 'show', 'that', 'the', 'previously', 'observed', 'skin', 'effects', 'in', 'pmn', 'are', 'due', 'to', 'a', 'change', 'in', 'concentration', 'and', 'unit', 'cell']] | [-0.06280718751333873, 0.14335923347001275, -0.009580275150369001, 0.012745733388084797, 0.0008048406266455168, -0.11985757225649614, 0.044994173662773536, 0.4378390872936233, -0.23522133456263083, -0.319066838189363, 0.07685963609225414, -0.3646090718631456, -0.11853619320226796, 0.15531195948521295, -0.045844028529055184, -0.014901325727882947, -0.01300544342866131, 0.025958603638333872, -0.06063569554438194, -0.2636901059772308, 0.24710285321511086, 0.03951546972544462, 0.3388974988190883, 0.09967583625461736, 0.019497905714814766, -0.0744948054715577, 0.0053469136622095225, 0.06657260188412871, -0.10789868247648092, 0.0703745167729543, 0.2858595041515537, 0.03025512110435836, 0.21297074614238798, -0.4059359368930375, -0.24247477024913844, 0.046863942789035586, 0.11938327198142028, 0.0898028862954793, -0.10904478495164464, -0.21269274886478395, 0.12776584704741348, -0.11096544271895016, -0.10881303015067638, 0.009108898620230748, 0.04546229357167689, -0.002638462583193543, -0.22618403388004676, 0.08280431584978562, 0.06243487496938696, 0.07292332860878577, -0.10574674477809858, -0.1492247950107626, -0.07593125232086012, 0.09365878711561855, 0.08428407303861105, 0.07047831071266795, 0.17400943787366735, -0.09738910760200929, -0.05278496258721681, 0.3657626051857483, -0.03785159953739007, -0.1351720873704728, 0.19136658213649163, -0.21778032345278037, -0.11591788228856874, 0.18940714324879296, 0.13182639846200842, 0.10007670508344578, -0.13630319913756786, 0.051308650522663264, -0.00890992966547511, 0.2159676093675099, 0.055482674548341555, 0.05468229245656213, 0.18647781831327997, 0.1752325761561081, 0.03416619945703275, 0.104026385306402, -0.140542657887624, -0.02143153935683027, -0.22273169922965025, -0.14080100700341383, -0.15556540265390223, 0.026619781762075433, -0.054449059604629084, -0.12563872179743116, 0.3541318794310677, 0.15033398807091408, 0.22667736898547683, -0.054130812931891065, 0.25349118456463604, 0.0717858637331565, 0.11735813350879337, 0.029167834605437284, 0.296938994827869, 0.129553334306609, 0.1650749386160397, -0.23253614177890852, 0.11888861735473125, -0.022809570904035924] |
1,802.02394 | An improved upper bound for critical value of the contact process on
$\mathbb{Z}^d$ with $d\geq 3$ | In this paper we give an improved upper bound for critical value $\lambda_c$
of the basic contact process on the lattice $\mathbb{Z}^d$ with $d\geq 3$. As a
direct corollary of out result, \[ \lambda_c\leq 0.384. \] when $d=3$.
| math.PR | in this paper we give an improved upper bound for critical value lambda_c of the basic contact process on the lattice mathbbzd with dgeq 3 as a direct corollary of out result lambda_cleq 0384 when d3 | [['in', 'this', 'paper', 'we', 'give', 'an', 'improved', 'upper', 'bound', 'for', 'critical', 'value', 'lambda_c', 'of', 'the', 'basic', 'contact', 'process', 'on', 'the', 'lattice', 'mathbbzd', 'with', 'dgeq', '3', 'as', 'a', 'direct', 'corollary', 'of', 'out', 'result', 'lambda_cleq', '0384', 'when', 'd3']] | [-0.10375145546027592, 0.1526196385105972, -0.03914084137816514, 0.007425231930860069, -0.006736781660999571, -0.17101781654304693, 0.13933080059941857, 0.3030956454841154, -0.19157110207847186, -0.2479051605399166, 0.11662407748600734, -0.262986194980996, -0.15334310598139253, 0.2031650341248938, -0.011078011696892126, 0.048248365681086265, 0.04364509518657412, 0.10347838787628072, -0.03874855081750346, -0.3171883782371879, 0.334784552029201, 0.01503327727051718, 0.18449006980018956, 0.1814300470586334, 0.04599256241428001, 0.05866026250379426, 0.03918692895344326, -0.032699375027524576, -0.30212618240288325, 0.06718963409907051, 0.16875620622720036, 0.03844824716714876, 0.19150215876953944, -0.3656652169568198, -0.14102072956572687, 0.12594386182193246, 0.21478286546521952, 0.09971912016543294, 0.017856436126333263, -0.26271136977842874, 0.09898764578891651, -0.13758759182611746, -0.2037399510187762, -0.010764164291322232, 0.09491489271500281, -0.04998962799353259, -0.3246971808906112, 0.07595664954611234, 0.16765789107552598, 0.12065154140332847, -0.039455344847270424, -0.20126668365140046, 0.02116775597844805, 0.11634515241603367, 0.0028874400728714786, 0.12452254617320639, 0.06771404997312597, -0.1250715623942337, -0.13760286111916814, 0.3302444564444678, -0.08949262059426734, -0.18914730296071086, 0.1308322284437184, -0.12117973224459481, -0.1854415380262903, 0.10766267547649996, 0.16227499595178024, 0.1120574020780623, -0.09253339431722582, 0.11510052688952004, -0.11467319319822959, 0.15107376586113658, 0.0782156627625227, -0.012313496853624071, 0.1240728458655732, 0.19697962506408137, 0.18590484407863447, 0.17378125414252282, -0.030294351299692476, -0.03490786846461041, -0.36901558744055885, -0.15750873684384195, -0.17703337809070946, 0.21153368536782052, -0.1856466554462843, -0.1441099701715367, 0.24030143400388104, 0.12990663263148494, 0.23907094140137944, 0.11111649926751851, 0.23184944274170058, 0.13657611405942588, -0.06114938272429364, 0.06231866774282285, 0.18948892269815718, 0.12284001795674808, 0.05735733765842659, -0.13077315879719598, -0.006951318149055754, 0.14300120222781385] |
1,802.02395 | Evaluation of Deep Reinforcement Learning Methods for Modular Robots | We propose a novel framework for Deep Reinforcement Learning (DRL) in modular
robotics using traditional robotic tools that extend state-of-the-art DRL
implementations and provide an end-to-end approach which trains a robot
directly from joint states. Moreover, we present a novel technique to transfer
these DLR methods into the real robot, aiming to close the simulation-reality
gap. We demonstrate the robustness of the performance of state-of-the-art DRL
methods for continuous action spaces in modular robots, with an empirical study
both in simulation and in the real robot where we also evaluate how
accelerating the simulation time affects the robot's performance. Our results
show that extending the modular robot from 3 degrees-of-freedom (DoF), to 4
DoF, does not affect the robot's learning. This paves the way towards training
modular robots using DRL techniques.
| cs.RO | we propose a novel framework for deep reinforcement learning drl in modular robotics using traditional robotic tools that extend stateoftheart drl implementations and provide an endtoend approach which trains a robot directly from joint states moreover we present a novel technique to transfer these dlr methods into the real robot aiming to close the simulationreality gap we demonstrate the robustness of the performance of stateoftheart drl methods for continuous action spaces in modular robots with an empirical study both in simulation and in the real robot where we also evaluate how accelerating the simulation time affects the robots performance our results show that extending the modular robot from 3 degreesoffreedom dof to 4 dof does not affect the robots learning this paves the way towards training modular robots using drl techniques | [['we', 'propose', 'a', 'novel', 'framework', 'for', 'deep', 'reinforcement', 'learning', 'drl', 'in', 'modular', 'robotics', 'using', 'traditional', 'robotic', 'tools', 'that', 'extend', 'stateoftheart', 'drl', 'implementations', 'and', 'provide', 'an', 'endtoend', 'approach', 'which', 'trains', 'a', 'robot', 'directly', 'from', 'joint', 'states', 'moreover', 'we', 'present', 'a', 'novel', 'technique', 'to', 'transfer', 'these', 'dlr', 'methods', 'into', 'the', 'real', 'robot', 'aiming', 'to', 'close', 'the', 'simulationreality', 'gap', 'we', 'demonstrate', 'the', 'robustness', 'of', 'the', 'performance', 'of', 'stateoftheart', 'drl', 'methods', 'for', 'continuous', 'action', 'spaces', 'in', 'modular', 'robots', 'with', 'an', 'empirical', 'study', 'both', 'in', 'simulation', 'and', 'in', 'the', 'real', 'robot', 'where', 'we', 'also', 'evaluate', 'how', 'accelerating', 'the', 'simulation', 'time', 'affects', 'the', 'robots', 'performance', 'our', 'results', 'show', 'that', 'extending', 'the', 'modular', 'robot', 'from', '3', 'degreesoffreedom', 'dof', 'to', '4', 'dof', 'does', 'not', 'affect', 'the', 'robots', 'learning', 'this', 'paves', 'the', 'way', 'towards', 'training', 'modular', 'robots', 'using', 'drl', 'techniques']] | [-0.07471905255582757, -6.457915453491016e-05, -0.1229046416003257, -0.011552263926177357, -0.12614303277805447, -0.14875013794964895, 0.023258513454885152, 0.4764713235486012, -0.24783520715741011, -0.3182443631383089, 0.02087949292662625, -0.19569854178967383, -0.2667133468561448, 0.22547496401239187, -0.15583645409067406, 0.11770556897211533, 0.1334180565407643, 0.022862490641105418, -0.06432182841146221, -0.260472652509522, 0.31372943713974494, 0.0027700277634162026, 0.30968093438557565, 0.03369233882806909, 0.1544411369671042, 0.015049843246547075, 0.07037349357986106, -0.04450198105679681, -0.08644500451146786, 0.1842417624398457, 0.34467821176736974, 0.2045773791292539, 0.3160610247689944, -0.43798414103400246, -0.19477240486930197, 0.09407024069760854, 0.18319254788355185, 0.07668508197664498, -0.04817213377413841, -0.379239486100582, 0.0715956151127242, -0.20483646514252402, -0.07655116509144697, -0.1585140004539146, -0.08430809086331954, -0.016638080588577745, -0.27919387568791326, -0.06300975668373912, 0.04725810567436453, 0.08464344451203942, -0.10061649803716977, -0.09015275626443327, 0.09001635517029521, 0.20324577479623257, -0.020784397050738333, 0.03881742072542413, 0.1754772172273638, -0.18264020306115317, -0.21448703239886807, 0.3394037900062708, -0.011362794670276344, -0.21047867254998823, 0.2149337162120411, -0.0484432923177687, -0.15484162748146515, 0.08753676646603988, 0.2720535603996653, 0.15579618302961953, -0.14177266895914306, 0.04183155479393183, -0.021600258407684474, 0.1687041409456959, -0.01532928655640437, -0.0694925795094325, 0.11728840664817164, 0.2726772380348008, 0.09923223027816186, 0.1437145283535266, -0.060916274620327525, -0.13240603417865573, -0.23760534222595966, -0.16170153023245243, -0.15759477167605207, -0.03893196455621644, -0.09280266716086771, -0.0570932554672114, 0.37670394379753047, 0.27954135504103483, 0.18786848346846036, 0.19077657146755464, 0.40658032338206584, 0.020716288006112266, 0.10971908294953979, 0.14914166122818223, 0.2530138761423027, -0.0043553430730333695, 0.14412623964465007, -0.2275773920933716, 0.018257552650398932, -0.005961714022291394] |
1,802.02396 | Complete Lagrangian self-shrinkers in $\mathbf R^4$ | The purpose of this paper is to study complete self-shrinkers of mean
curvature flow in Euclidean spaces. In the paper, we give a complete
classification for 2-dimensional complete Lagrangian self-shrinkers in
Euclidean space $\mathbb R^4$ with constant squared norm of the second
fundamental form.
| math.DG | the purpose of this paper is to study complete selfshrinkers of mean curvature flow in euclidean spaces in the paper we give a complete classification for 2dimensional complete lagrangian selfshrinkers in euclidean space mathbb r4 with constant squared norm of the second fundamental form | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'study', 'complete', 'selfshrinkers', 'of', 'mean', 'curvature', 'flow', 'in', 'euclidean', 'spaces', 'in', 'the', 'paper', 'we', 'give', 'a', 'complete', 'classification', 'for', '2dimensional', 'complete', 'lagrangian', 'selfshrinkers', 'in', 'euclidean', 'space', 'mathbb', 'r4', 'with', 'constant', 'squared', 'norm', 'of', 'the', 'second', 'fundamental', 'form']] | [-0.16104939027255485, 0.05091149918735027, -0.048146800059343645, 0.06826469238678162, -0.08156202843582089, -0.042642614751292225, -0.09311870465965265, 0.35046741347336635, -0.2095242632044987, -0.18695779887705363, 0.09767539004678838, -0.25704472162760794, -0.18207695278000424, 0.11415452891114083, -0.2172320058611645, 0.05147154371000149, 0.03348899627929892, 0.13049806049093604, -0.14929809386376292, -0.31468486930878664, 0.4099792523140257, -0.07404480794106018, 0.19876012129878456, 0.11799257053644396, 0.08991852663034065, 0.03133013969371942, -0.028898989189077507, 0.04234125260832529, -0.30839547216468916, 0.20302504624917425, 0.22679712608541278, 0.04978832327337428, 0.23554002654484726, -0.3753296037373895, -0.23532223186074672, 0.2530735626774417, 0.16323496563233098, 0.03055254869501699, -0.007607969624752348, -0.24965318381278354, 0.060265045972879634, -0.034488261634991926, -0.18817857504737648, -0.09307065921496939, 0.02886210111054507, -0.05019710880217396, -0.21266493061557412, 0.10920847740701654, 0.14056886317716402, 0.1408457100941715, -0.1321592869723893, -0.06570856027643789, 0.013623304749754343, 0.11940895301416855, 0.014404241773511538, 0.165458238159772, 0.004432434396056289, -0.04786302692743696, -0.08218726331622085, 0.44339676006612455, -0.13589932134544308, -0.3098029298284514, 0.020068275234238667, -0.17598107029070062, -0.12067391373090107, 0.11766695459796624, 0.2809155036864633, 0.18993227632546966, -0.13447158929722552, 0.17070098862644623, -0.08762834292296744, 0.061338801783594216, 0.06419127495874735, 0.015349380841309374, 0.09292685172774574, 0.16523845282129265, 0.17129376390948892, 0.16885704765180973, -0.009928872554816982, -0.11349719754732425, -0.4588579792868007, -0.24619742958615956, -0.16750912986357103, 0.1268618016990579, -0.16222257862417874, -0.2080849977950989, 0.3736345834067007, -0.023264737736264415, 0.1943159213670614, 0.17125157351520928, 0.29465215534649114, 0.004296011630107056, -0.010387414807072755, 0.14328362971586597, 0.2172381024469029, 0.19360080556097356, 0.03916128703647039, -0.10412515864498512, -0.12009207864122634, 0.23356636776588857] |
1,802.02397 | When is the condition of order preservation met? | This article explores a relationship between inconsistency in the pairwise
comparisons method and conditions of order preservation. A pairwise comparisons
matrix with elements from an alo-group is investigated. This approach allows
for a generalization of previous results. Sufficient conditions for order
preservation based on the properties of elements of pairwise comparisons matrix
are derived. A numerical example is presented.
| cs.DM | this article explores a relationship between inconsistency in the pairwise comparisons method and conditions of order preservation a pairwise comparisons matrix with elements from an alogroup is investigated this approach allows for a generalization of previous results sufficient conditions for order preservation based on the properties of elements of pairwise comparisons matrix are derived a numerical example is presented | [['this', 'article', 'explores', 'a', 'relationship', 'between', 'inconsistency', 'in', 'the', 'pairwise', 'comparisons', 'method', 'and', 'conditions', 'of', 'order', 'preservation', 'a', 'pairwise', 'comparisons', 'matrix', 'with', 'elements', 'from', 'an', 'alogroup', 'is', 'investigated', 'this', 'approach', 'allows', 'for', 'a', 'generalization', 'of', 'previous', 'results', 'sufficient', 'conditions', 'for', 'order', 'preservation', 'based', 'on', 'the', 'properties', 'of', 'elements', 'of', 'pairwise', 'comparisons', 'matrix', 'are', 'derived', 'a', 'numerical', 'example', 'is', 'presented']] | [-0.11323580061535127, 0.016229488483704386, -0.08018754887121633, 0.050541136068580995, -0.019670991251116682, -0.05368226429383303, 0.03808836398068173, 0.4033858544867614, -0.20564575538296123, -0.29542948087227755, 0.08131731918748018, -0.31100330026925677, -0.18323902692645788, 0.17448932391687713, -0.045451539536488464, 0.07457170441168649, 0.11885970005974301, 0.031787950079888105, -0.18211512678656086, -0.21993111158672976, 0.3364177829393282, 0.04169905135921877, 0.28009585092036887, 0.06824964678300352, 0.12880986451235568, 0.0009509949816455101, -0.09819482078631248, 0.06010938694315224, -0.16045056424778084, 0.19740732898132812, 0.2129679436249466, 0.15452686840957353, 0.2768964958858901, -0.41088577173650265, -0.16299558300846095, 0.10351463203350532, 0.06764265548855324, 0.10391592735360408, -0.07057369570448545, -0.25920724992415517, 0.10961110005155206, -0.17072136293904022, -0.09387208129568346, -0.09304634079433463, 0.00995532126097683, 0.058198609686424506, -0.3826999418710455, 0.056091441150658346, 0.0706962308172008, 0.12367521639203789, -0.027443351666643766, -0.10027678393967578, 0.07881564399677105, 0.13299446285638059, 0.02353575831311273, -0.0609027734427745, 0.012842950362969062, -0.064403820285124, -0.10102575098903015, 0.4016691042945303, -0.026967681049176587, -0.2492185472671328, 0.2412541034181827, -0.042100463672701656, -0.10386306507480812, 0.061289961058154686, 0.12434837162687347, 0.11201153154452813, -0.18994846795525017, 0.06273272041741212, -0.07852583519857505, 0.1677937489002943, 0.025881624676222945, 0.03060897532850504, 0.1251625858472082, 0.1653113596398255, 0.06658069209741621, 0.12681535389354645, -0.01092416755774797, -0.08579445923357432, -0.3616836412231727, -0.1558337259941317, -0.18463723610380087, -0.03439725775689144, -0.10613749368123285, -0.11805033597870376, 0.3841723075843063, 0.17298886438446312, 0.2289026381271281, 0.05292132338870253, 0.2920526474521592, 0.08406140950231428, -0.003440143219355879, 0.0041905648942137585, 0.1792635952989603, 0.2300740434659709, 0.026595381353500074, -0.1983234307644407, 0.1084677975078852, 0.13300366642692224] |
1,802.02398 | Super-resolution of spatiotemporal event-stream image captured by the
asynchronous temporal contrast vision sensor | Super-resolution (SR) is a useful technology to generate a high-resolution
(HR) visual output from the low-resolution (LR) visual inputs overcoming the
physical limitations of the cameras. However, SR has not been applied to
enhance the resolution of spatiotemporal event-stream images captured by the
frame-free dynamic vision sensors (DVSs). SR of event-stream image is
fundamentally different from existing frame-based schemes since basically each
pixel value of DVS images is an event sequence. In this work, a two-stage
scheme is proposed to solve the SR problem of the spatiotemporal event-stream
image. We use a nonhomogeneous Poisson point process to model the event
sequence, and sample the events of each pixel by simulating a nonhomogeneous
Poisson process according to the specified event number and rate function.
Firstly, the event number of each pixel of the HR DVS image is determined with
a sparse signal representation based method to obtain the HR event-count map
from that of the LR DVS recording. The rate function over time line of the
point process of each HR pixel is computed using a spatiotemporal filter on the
corresponding LR neighbor pixels. Secondly, the event sequence of each new
pixel is generated with a thinning based event sampling algorithm. Two metrics
are proposed to assess the event-stream SR results. The proposed method is
demonstrated through obtaining HR event-stream images from a series of DVS
recordings with the proposed method. Results show that the upscaled HR event
streams has perceptually higher spatial texture detail than the LR DVS images.
Besides, the temporal properties of the upscaled HR event streams match that of
the original input very well. This work enables many potential applications of
event-based vision.
| cs.CV | superresolution sr is a useful technology to generate a highresolution hr visual output from the lowresolution lr visual inputs overcoming the physical limitations of the cameras however sr has not been applied to enhance the resolution of spatiotemporal eventstream images captured by the framefree dynamic vision sensors dvss sr of eventstream image is fundamentally different from existing framebased schemes since basically each pixel value of dvs images is an event sequence in this work a twostage scheme is proposed to solve the sr problem of the spatiotemporal eventstream image we use a nonhomogeneous poisson point process to model the event sequence and sample the events of each pixel by simulating a nonhomogeneous poisson process according to the specified event number and rate function firstly the event number of each pixel of the hr dvs image is determined with a sparse signal representation based method to obtain the hr eventcount map from that of the lr dvs recording the rate function over time line of the point process of each hr pixel is computed using a spatiotemporal filter on the corresponding lr neighbor pixels secondly the event sequence of each new pixel is generated with a thinning based event sampling algorithm two metrics are proposed to assess the eventstream sr results the proposed method is demonstrated through obtaining hr eventstream images from a series of dvs recordings with the proposed method results show that the upscaled hr event streams has perceptually higher spatial texture detail than the lr dvs images besides the temporal properties of the upscaled hr event streams match that of the original input very well this work enables many potential applications of eventbased vision | [['superresolution', 'sr', 'is', 'a', 'useful', 'technology', 'to', 'generate', 'a', 'highresolution', 'hr', 'visual', 'output', 'from', 'the', 'lowresolution', 'lr', 'visual', 'inputs', 'overcoming', 'the', 'physical', 'limitations', 'of', 'the', 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1,802.02399 | Compact stars in Energy-Momentum Squared Gravity | A simple generalization to Einstein's general relativity (GR) was recently
proposed which allows a correction term $T_{\alpha\beta}T^{\alpha\beta}$ in the
action functional of the theory. This theory is called Energy-Momentum Squared
Gravity (EMSG) and introduces a new coupling parameter $\eta$. EMSG resolves
the big bang singularity and has a viable sequence of cosmological epochs in
its thermal history. {Interestingly, in the vacuum EMSG is equivalent to GR,
and its effects appear only inside the matter-energy distribution. More
specifically, its consequences appear in high curvature regime. Therefore it is
natural to expect deviations form GR inside compact stars. In order to study
spherically symmetric compact stars in EMSG, we find the relativistic governing
equations. More specifically, we find the generalized version of the
Tolman-Oppenheimer-Volkov equation in EMSG. Finally we present two analytical
solutions, and two numerical solutions for the field equations. For obtaining
the numerical solutions we use polytropic equation of state which is widely
used to understand the internal structure of neutron stars in the literature.
Eventually we find a mass-radius relation for neutron stars. Also, We found
that EMSG, depending on the central pressure of the star and the magnitude of
free parameter $\eta$, can lead to larger or smaller masses for neutron stars
compared with GR. Existence of high-mass neutron stars with ordinary polytropic
equation of state in EMSG is important in the sense that these stars exist in
GR provided that one use exotic equation of states.
| gr-qc | a simple generalization to einsteins general relativity gr was recently proposed which allows a correction term t_alphabetatalphabeta in the action functional of the theory this theory is called energymomentum squared gravity emsg and introduces a new coupling parameter eta emsg resolves the big bang singularity and has a viable sequence of cosmological epochs in its thermal history interestingly in the vacuum emsg is equivalent to gr and its effects appear only inside the matterenergy distribution more specifically its consequences appear in high curvature regime therefore it is natural to expect deviations form gr inside compact stars in order to study spherically symmetric compact stars in emsg we find the relativistic governing equations more specifically we find the generalized version of the tolmanoppenheimervolkov equation in emsg finally we present two analytical solutions and two numerical solutions for the field equations for obtaining the numerical solutions we use polytropic equation of state which is widely used to understand the internal structure of neutron stars in the literature eventually we find a massradius relation for neutron stars also we found that emsg depending on the central pressure of the star and the magnitude of free parameter eta can lead to larger or smaller masses for neutron stars compared with gr existence of highmass neutron stars with ordinary polytropic equation of state in emsg is important in the sense that these stars exist in gr provided that one use exotic equation of states | [['a', 'simple', 'generalization', 'to', 'einsteins', 'general', 'relativity', 'gr', 'was', 'recently', 'proposed', 'which', 'allows', 'a', 'correction', 'term', 't_alphabetatalphabeta', 'in', 'the', 'action', 'functional', 'of', 'the', 'theory', 'this', 'theory', 'is', 'called', 'energymomentum', 'squared', 'gravity', 'emsg', 'and', 'introduces', 'a', 'new', 'coupling', 'parameter', 'eta', 'emsg', 'resolves', 'the', 'big', 'bang', 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1,802.024 | Quantum communication protocols by quantum walks with two coins | We introduce some new perfect state transfer and teleportation schemes by
quantum walks with two coins. Encoding the transferred information in coin 1
state and alternatively using two coin operators, we can perfectly recover the
information on coin 1 state at target position only by at most two times of
flipping operation. Based on quantum walks with two coins either on the line or
on the $N$-circle, we can perfectly transfer any qubit state. In addition,
using quantum walks with two coins either on complete graphs or regular graphs,
we can first implement perfect qudit state transfer by quantum walks. Compared
with existing schemes driven by one coin, more general graph structures can be
used to perfectly transfer more general state. Moreover, the external control
of coin operator during the transmitting process can be decreased greatly.
Selecting coin 1 as the sender and coin 2 as the receiver, we also study how to
realize generalized teleportation over long steps of walks by the above quantum
walk models. Because quantum walks is an universal quantum computation model,
our schemes may provide an universal platform for the design of quantum network
and quantum computer.
| quant-ph | we introduce some new perfect state transfer and teleportation schemes by quantum walks with two coins encoding the transferred information in coin 1 state and alternatively using two coin operators we can perfectly recover the information on coin 1 state at target position only by at most two times of flipping operation based on quantum walks with two coins either on the line or on the ncircle we can perfectly transfer any qubit state in addition using quantum walks with two coins either on complete graphs or regular graphs we can first implement perfect qudit state transfer by quantum walks compared with existing schemes driven by one coin more general graph structures can be used to perfectly transfer more general state moreover the external control of coin operator during the transmitting process can be decreased greatly selecting coin 1 as the sender and coin 2 as the receiver we also study how to realize generalized teleportation over long steps of walks by the above quantum walk models because quantum walks is an universal quantum computation model our schemes may provide an universal platform for the design of quantum network and quantum computer | [['we', 'introduce', 'some', 'new', 'perfect', 'state', 'transfer', 'and', 'teleportation', 'schemes', 'by', 'quantum', 'walks', 'with', 'two', 'coins', 'encoding', 'the', 'transferred', 'information', 'in', 'coin', '1', 'state', 'and', 'alternatively', 'using', 'two', 'coin', 'operators', 'we', 'can', 'perfectly', 'recover', 'the', 'information', 'on', 'coin', '1', 'state', 'at', 'target', 'position', 'only', 'by', 'at', 'most', 'two', 'times', 'of', 'flipping', 'operation', 'based', 'on', 'quantum', 'walks', 'with', 'two', 'coins', 'either', 'on', 'the', 'line', 'or', 'on', 'the', 'ncircle', 'we', 'can', 'perfectly', 'transfer', 'any', 'qubit', 'state', 'in', 'addition', 'using', 'quantum', 'walks', 'with', 'two', 'coins', 'either', 'on', 'complete', 'graphs', 'or', 'regular', 'graphs', 'we', 'can', 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1,802.02401 | Critical phases in the raise and peel model | The raise and peel model (RPM) is a nonlocal stochastic model describing the
space and time fluctuations of an evolving one dimensional interface. Its
relevant parameter $u$ is the ratio between the rates of local adsorption and
nonlocal desorption processes (avalanches) processes. The model at $u=1$ give
us the first example of a conformally invariant stochastic model. For small
values $u<u_0$ the model is known to be noncritical, while for $u>u_0$ it is
critical.
By calculating the structure function of the height profiles in the
reciprocal space we confirm with good precision that indeed $u_0=1$. We
establish that at the conformal invariant point $u=1$ the RPM has a roughness
transition with dynamical and roughness critical exponents $z=1$ and
$\alpha=0$, respectively. For $u>1$ the model is critical with an $u$-dependent
dynamical critical exponent $z(u)$ that tends towards zero as $u\to \infty$.
However at $1/u=0$ the RPM is exactly mapped into the totally asymmetric
exclusion problem (TASEP). This last model is known to be noncritical
(critical) for open (periodic) boundary conditions. Our studies indicate that
the RPM as $u \to \infty$, due to its nonlocal dynamics processes, has the same
large-distance physics no matter what boundary condition we chose. For $u>1$,
our analysis show that differently from previous predictions, the region is
composed by two distinct critical phases. For $u\leq u < u_c\approx 40$ the
height profiles are rough ($\alpha = \alpha(u) >0$), and for $u>u_c$ the height
profiles are flat at large distances ($\alpha = \alpha(u) <0$). We also
observed that in both critical phases ($u>1$) the RPM at short length scales,
has an effective behavior in the Kardar-Parisi-Zhang (KPZ) critical
universality class, that is not the true behavior of the system at large length
scales.
| cond-mat.stat-mech | the raise and peel model rpm is a nonlocal stochastic model describing the space and time fluctuations of an evolving one dimensional interface its relevant parameter u is the ratio between the rates of local adsorption and nonlocal desorption processes avalanches processes the model at u1 give us the first example of a conformally invariant stochastic model for small values uu_0 the model is known to be noncritical while for uu_0 it is critical by calculating the structure function of the height profiles in the reciprocal space we confirm with good precision that indeed u_01 we establish that at the conformal invariant point u1 the rpm has a roughness transition with dynamical and roughness critical exponents z1 and alpha0 respectively for u1 the model is critical with an udependent dynamical critical exponent zu that tends towards zero as uto infty however at 1u0 the rpm is exactly mapped into the totally asymmetric exclusion problem tasep this last model is known to be noncritical critical for open periodic boundary conditions our studies indicate that the rpm as u to infty due to its nonlocal dynamics processes has the same largedistance physics no matter what boundary condition we chose for u1 our analysis show that differently from previous predictions the region is composed by two distinct critical phases for uleq u u_capprox 40 the height profiles are rough alpha alphau 0 and for uu_c the height profiles are flat at large distances alpha alphau 0 we also observed that in both critical phases u1 the rpm at short length scales has an effective behavior in the kardarparisizhang kpz critical universality class that is not the true behavior of the system at large length scales | [['the', 'raise', 'and', 'peel', 'model', 'rpm', 'is', 'a', 'nonlocal', 'stochastic', 'model', 'describing', 'the', 'space', 'and', 'time', 'fluctuations', 'of', 'an', 'evolving', 'one', 'dimensional', 'interface', 'its', 'relevant', 'parameter', 'u', 'is', 'the', 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1,802.02402 | On the role of multiple scales in metapopulations of public good
producers | Multiple scales in metapopulations can give rise to paradoxical behaviour: in
a conceptual model for a public goods game, the species associated with a
fitness cost due to the public good production can be stabilised in the
well-mixed limit due to the mere existence of these scales. The scales in this
model involve a length scale corresponding to separate patches, coupled by
mobility, and separate time scales for reproduction and interaction with a
local environment. Contrary to the well-mixed high mobility limit, we find that
for low mobilities, the interaction rate progressively stabilises this species
due to stochastic effects, and that the formation of spatial patterns is not
crucial for this stabilisation.
| physics.bio-ph physics.soc-ph q-bio.PE | multiple scales in metapopulations can give rise to paradoxical behaviour in a conceptual model for a public goods game the species associated with a fitness cost due to the public good production can be stabilised in the wellmixed limit due to the mere existence of these scales the scales in this model involve a length scale corresponding to separate patches coupled by mobility and separate time scales for reproduction and interaction with a local environment contrary to the wellmixed high mobility limit we find that for low mobilities the interaction rate progressively stabilises this species due to stochastic effects and that the formation of spatial patterns is not crucial for this stabilisation | [['multiple', 'scales', 'in', 'metapopulations', 'can', 'give', 'rise', 'to', 'paradoxical', 'behaviour', 'in', 'a', 'conceptual', 'model', 'for', 'a', 'public', 'goods', 'game', 'the', 'species', 'associated', 'with', 'a', 'fitness', 'cost', 'due', 'to', 'the', 'public', 'good', 'production', 'can', 'be', 'stabilised', 'in', 'the', 'wellmixed', 'limit', 'due', 'to', 'the', 'mere', 'existence', 'of', 'these', 'scales', 'the', 'scales', 'in', 'this', 'model', 'involve', 'a', 'length', 'scale', 'corresponding', 'to', 'separate', 'patches', 'coupled', 'by', 'mobility', 'and', 'separate', 'time', 'scales', 'for', 'reproduction', 'and', 'interaction', 'with', 'a', 'local', 'environment', 'contrary', 'to', 'the', 'wellmixed', 'high', 'mobility', 'limit', 'we', 'find', 'that', 'for', 'low', 'mobilities', 'the', 'interaction', 'rate', 'progressively', 'stabilises', 'this', 'species', 'due', 'to', 'stochastic', 'effects', 'and', 'that', 'the', 'formation', 'of', 'spatial', 'patterns', 'is', 'not', 'crucial', 'for', 'this', 'stabilisation']] | [-0.11534995742632807, 0.17262466096248577, -0.08451065031113103, 0.09535168328043905, -0.016456876895972528, -0.12868369240771113, 0.03987413643959111, 0.32784911211014595, -0.29884381336160004, -0.30127019802707117, 0.0721650016618826, -0.2228118357265235, -0.09570995514513925, 0.11939503237954341, -0.05679759870482875, -0.060352973753781826, 0.03163993000219177, -0.01676678834649335, 0.05118495330004537, -0.24822486700473487, 0.30153992410071495, 0.09488446971434834, 0.29590330124067676, 0.08158568010133292, 0.11221779129118659, -0.043059919569973966, -0.004640382287886625, 0.06866032438535642, -0.10422861501722634, 0.08542896944813297, 0.2573877198914748, 0.036533392573931324, 0.29345170613045674, -0.4611662308785266, -0.22306780863410886, 0.13110359742755204, 0.1639693417982926, 0.1612142567090424, -0.04094054097783685, -0.2253817229897582, 0.0625080141617218, -0.15449563552725262, -0.12923171258963911, -0.04781609855750243, 0.0367655857335194, 0.02540535694736588, -0.29996587803439717, 0.1423667065267052, -0.007159709951208372, 0.05340551081254879, -0.05690157497260121, -0.059755811896008836, -0.051649142909030034, 0.16670508070300066, 0.08464857350918464, -0.016925000082535138, 0.128081746380693, -0.17649249188460608, -0.09517318873466658, 0.39064505082621637, -0.08544017969480981, -0.19494291456690657, 0.2950912752172111, -0.13629305291604915, -0.11047534536503788, 0.16929998395166226, 0.2005313904852041, 0.09234824779559858, -0.13597167466650717, 0.04004792801398643, -0.020065867304635634, 0.20510978649794456, 0.05287345964461565, 0.06761263019039429, 0.22501825969499936, 0.21581407451802598, 0.09650156497290092, 0.0797093480183061, -0.06357012986856196, -0.16025491255069418, -0.2476681665414487, -0.11381689441831051, -0.10488483116413201, 0.06092252778775479, -0.11311629558791278, -0.1439760294036075, 0.3685711377017599, 0.19887032389046258, 0.24916508512355254, 0.09025911732377219, 0.27520540674283567, 0.07351827765731807, 0.10440255842903363, 0.03354908276898121, 0.19509155906104883, 0.06329746539683713, 0.12476837020637634, -0.24461365697789006, 0.12199336536910518, 0.014329454659933358] |
1,802.02403 | Exponential equilibration of genetic circuits using entropy methods | We analyse a continuum model for genetic circuits based on a partial
integro-differential equation initially proposed in Friedman, Cai \& Xie (2006)
as an approximation of a chemical master equation. We use entropy methods to
show exponentially fast convergence to equilibrium for this model with explicit
bounds. The asymptotic equilibration for the multidimensional case of more than
one gene is also obtained under suitable assumptions on the equilibrium
stationary states. The asymptotic equilibration property for networks involving
one and more than one gene is investigated via numerical simulations.
| math.AP | we analyse a continuum model for genetic circuits based on a partial integrodifferential equation initially proposed in friedman cai xie 2006 as an approximation of a chemical master equation we use entropy methods to show exponentially fast convergence to equilibrium for this model with explicit bounds the asymptotic equilibration for the multidimensional case of more than one gene is also obtained under suitable assumptions on the equilibrium stationary states the asymptotic equilibration property for networks involving one and more than one gene is investigated via numerical simulations | [['we', 'analyse', 'a', 'continuum', 'model', 'for', 'genetic', 'circuits', 'based', 'on', 'a', 'partial', 'integrodifferential', 'equation', 'initially', 'proposed', 'in', 'friedman', 'cai', 'xie', '2006', 'as', 'an', 'approximation', 'of', 'a', 'chemical', 'master', 'equation', 'we', 'use', 'entropy', 'methods', 'to', 'show', 'exponentially', 'fast', 'convergence', 'to', 'equilibrium', 'for', 'this', 'model', 'with', 'explicit', 'bounds', 'the', 'asymptotic', 'equilibration', 'for', 'the', 'multidimensional', 'case', 'of', 'more', 'than', 'one', 'gene', 'is', 'also', 'obtained', 'under', 'suitable', 'assumptions', 'on', 'the', 'equilibrium', 'stationary', 'states', 'the', 'asymptotic', 'equilibration', 'property', 'for', 'networks', 'involving', 'one', 'and', 'more', 'than', 'one', 'gene', 'is', 'investigated', 'via', 'numerical', 'simulations']] | [-0.07571845809693566, 0.0417188449199753, -0.1142301011252506, 0.13043536091271532, -0.02569546830979572, -0.16868548817268905, 0.06452321481687584, 0.3306149772272028, -0.21462863219778813, -0.21612685670455298, 0.09610983060977968, -0.26599501073360443, -0.15381956010543066, 0.2136566401138131, -0.004431749892089216, 0.09441570849853685, 0.09125028811823363, 0.010646050710273885, -0.039701625479963316, -0.2557938116463436, 0.30008758175261746, 0.06092078239796148, 0.2547237599247146, -0.01626612437988, 0.11405796064170955, -0.03392215646889018, 0.0020223130303402915, 0.0027583994977604383, -0.17753190795580545, 0.09419049259111949, 0.19477873169228263, 0.12283969546357791, 0.2999320996325763, -0.466270699497612, -0.232712728870583, 0.0987081706695173, 0.15041928539245292, 0.16390515953816218, -0.04457496249969332, -0.2477473904212787, 0.07514881163878345, -0.15223906968516865, -0.16288558948228413, -0.10374473983785887, 0.043824766163082646, 0.021140309393234635, -0.3413372429558772, 0.1182412792331052, 0.054147920951290035, 0.05703531491741452, -0.058194878861714885, -0.12894342390113864, -0.02088799948761261, 0.033017005419476365, 0.014177195270192521, -0.045019278102072666, 0.08794015417967377, -0.10030931631777563, -0.10716467637210099, 0.3106962673810321, -0.09561821200313507, -0.2720879016165761, 0.21385597580797627, -0.0778727123578047, -0.15690974805546903, 0.10456181907940698, 0.1393144433761294, 0.17174392277053718, -0.2022544142693795, 0.08002190560506571, -0.03147911907162988, 0.12847292737971092, 0.1063121968944525, -0.01132194196869587, 0.05515709540796006, 0.1780956682117506, 0.10340656288738909, 0.16344677912199806, -0.016649199483766294, -0.19875166704342967, -0.2641468199730005, -0.15216027429841203, -0.16166478985299668, 0.11851932353008239, -0.12728945283241297, -0.1827805998839502, 0.35647591201310186, 0.13324879130198694, 0.1431500847965222, 0.09796560480762487, 0.28248407901532346, 0.16342965623594008, -0.03921407675263525, 0.12070855408393104, 0.18208054600861565, 0.18075757152561484, 0.10808052503685842, -0.24716848893968882, 0.12372978388107028, 0.12937867458395916] |
1,802.02404 | Monogamy of particle statistics in tripartite systems simulating bosons
and fermions | In the quantum world correlations can take form of entanglement which is
known to be monogamous. In this work we show that another type of correlations,
indistinguishability, is also restricted by some form of monogamy. Namely, if
particles A and B simulate bosons, then A and C cannot perfectly imitate
fermions. Our main result consists in demonstrating to what extent it is
possible.
| quant-ph | in the quantum world correlations can take form of entanglement which is known to be monogamous in this work we show that another type of correlations indistinguishability is also restricted by some form of monogamy namely if particles a and b simulate bosons then a and c cannot perfectly imitate fermions our main result consists in demonstrating to what extent it is possible | [['in', 'the', 'quantum', 'world', 'correlations', 'can', 'take', 'form', 'of', 'entanglement', 'which', 'is', 'known', 'to', 'be', 'monogamous', 'in', 'this', 'work', 'we', 'show', 'that', 'another', 'type', 'of', 'correlations', 'indistinguishability', 'is', 'also', 'restricted', 'by', 'some', 'form', 'of', 'monogamy', 'namely', 'if', 'particles', 'a', 'and', 'b', 'simulate', 'bosons', 'then', 'a', 'and', 'c', 'can', 'not', 'perfectly', 'imitate', 'fermions', 'our', 'main', 'result', 'consists', 'in', 'demonstrating', 'to', 'what', 'extent', 'it', 'is', 'possible']] | [-0.08888008043868467, 0.2019596377358539, -0.115746570576448, 0.09963132133088948, -0.04378036977141164, -0.2098851478222059, 0.02792702508668299, 0.34755137778120115, -0.27321168500202475, -0.2516561211232329, 0.01844308823092433, -0.2834447432651359, -0.1625118559859402, 0.14907313583535142, -0.07703616794606205, -0.0004267760014045052, 0.04924453252897365, 0.06597261335991789, 0.0012552961734400014, -0.2955593322712957, 0.3386851421164465, -0.009804268187508569, 0.22826439538039267, 0.08412805288389791, 0.036503365547105204, -0.01588084871036699, 0.055988478155995836, 0.048958619379845913, -0.07504162819225257, 0.06077091542016433, 0.2222519547358388, 0.15498353898874484, 0.2369358868454583, -0.3683570776920533, -0.1810574459086638, 0.1448613598204247, 0.17869594422518276, 0.13251026748002914, -0.005956187829724513, -0.30186368323484203, 0.06596518439801002, -0.16898743354249746, -0.1226112785298028, -0.10031893420091365, 0.03452053818546119, -0.023525382886873558, -0.2687492990444298, 0.07309679592754037, 0.12680181142059155, -0.004551431935396977, 0.01804662406357238, -0.011571358067158144, -6.582472633454017e-05, 0.11329753338213777, -0.004184851040918147, 0.010953307522868272, 0.08215062278031837, -0.12056748773829895, -0.14562621892400784, 0.41971406689845026, -0.04080450542096514, -0.24542588513577357, 0.21421397826634347, -0.18059997962700436, -0.12713722349144518, 0.03723091145729995, 0.12352335927425884, 0.06290786893805489, -0.17450351554725785, 0.07155758517728827, -0.11670002665778156, 0.2002696783238207, 0.05488540800070041, 0.08110935823788168, 0.20994895049534534, 0.09505227597401245, 0.0381465784048487, 0.19248074506867852, -0.021284904374624602, -0.10860770944509568, -0.32873006362933666, -0.23722142711631022, -0.23648883631176432, 0.10386196944841686, -0.008477425481032697, -0.09352790196135174, 0.3607263749690901, 0.181738686573226, 0.19624651709455065, 0.026956227449772996, 0.24893614638131112, 0.06416009175336512, 0.10134148623819783, 0.0895155013204203, 0.281149771517903, 0.10201974545270787, 0.03315574434236623, -0.1733379182551289, 0.09666505331551889, 0.022680641064653173] |
1,802.02405 | Semi Concurrent vector fields in Finsler geometry | In the present paper, we introduce and investigate the notion of a semi
concurrent vector field on a Finsler manifold. We show that some special
Finsler manifolds admitting such vector fields turn out to be Riemannian. We
prove that Tachibana's characterization of Finsler manifolds admitting a
concurrent vector field leads to Riemannain metrics. We give an answer to the
question raised in \cite{DWF}: "Is any n-dimensional Finsler manifold $(M,F)$,
admitting a non-constant smooth function $f$ on $M$ such that $\frac{\partial
f}{\partial x^i}\frac{\partial g^{ij}}{\partial y^k}=0$, a Riemannian
manifold?". Various examples for conic Finsler and Riemannian spaces that admit
semi-concurrent vector field are presented. Finally, we conjectured that there
is no regular Finsler non-Riemannian metric that admits a semi-concurrent
vector field. In other words, a Finsler metric admitting a semi-concurrent
vector field is necessarily either Riemannian or conic Finslerian.
| math.DG gr-qc | in the present paper we introduce and investigate the notion of a semi concurrent vector field on a finsler manifold we show that some special finsler manifolds admitting such vector fields turn out to be riemannian we prove that tachibanas characterization of finsler manifolds admitting a concurrent vector field leads to riemannain metrics we give an answer to the question raised in citedwf is any ndimensional finsler manifold mf admitting a nonconstant smooth function f on m such that fracpartial fpartial xifracpartial gijpartial yk0 a riemannian manifold various examples for conic finsler and riemannian spaces that admit semiconcurrent vector field are presented finally we conjectured that there is no regular finsler nonriemannian metric that admits a semiconcurrent vector field in other words a finsler metric admitting a semiconcurrent vector field is necessarily either riemannian or conic finslerian | [['in', 'the', 'present', 'paper', 'we', 'introduce', 'and', 'investigate', 'the', 'notion', 'of', 'a', 'semi', 'concurrent', 'vector', 'field', 'on', 'a', 'finsler', 'manifold', 'we', 'show', 'that', 'some', 'special', 'finsler', 'manifolds', 'admitting', 'such', 'vector', 'fields', 'turn', 'out', 'to', 'be', 'riemannian', 'we', 'prove', 'that', 'tachibanas', 'characterization', 'of', 'finsler', 'manifolds', 'admitting', 'a', 'concurrent', 'vector', 'field', 'leads', 'to', 'riemannain', 'metrics', 'we', 'give', 'an', 'answer', 'to', 'the', 'question', 'raised', 'in', 'citedwf', 'is', 'any', 'ndimensional', 'finsler', 'manifold', 'mf', 'admitting', 'a', 'nonconstant', 'smooth', 'function', 'f', 'on', 'm', 'such', 'that', 'fracpartial', 'fpartial', 'xifracpartial', 'gijpartial', 'yk0', 'a', 'riemannian', 'manifold', 'various', 'examples', 'for', 'conic', 'finsler', 'and', 'riemannian', 'spaces', 'that', 'admit', 'semiconcurrent', 'vector', 'field', 'are', 'presented', 'finally', 'we', 'conjectured', 'that', 'there', 'is', 'no', 'regular', 'finsler', 'nonriemannian', 'metric', 'that', 'admits', 'a', 'semiconcurrent', 'vector', 'field', 'in', 'other', 'words', 'a', 'finsler', 'metric', 'admitting', 'a', 'semiconcurrent', 'vector', 'field', 'is', 'necessarily', 'either', 'riemannian', 'or', 'conic', 'finslerian']] | [-0.2443101150830361, 0.06690111425522252, -0.04786657504596268, 0.11415999316324649, -0.23691475591057856, -0.2092997325711291, -0.10424253657446102, 0.43371936376912124, -0.24043211308449056, -0.16960144793318416, 0.08750105140974153, -0.26860301002902404, -0.22973912014717687, 0.1582373838812628, -0.1560734020648383, -0.01770894818544162, 0.06049227803084774, 0.14716836270368236, -0.14746709477692616, -0.254442071392215, 0.5312004873747797, -0.045818055897005695, 0.18831557000874344, 0.07333123288470123, 0.23242212485550254, -0.017956504517121975, 0.04174134750836388, 0.12945626120816803, -0.19094727172639317, 0.04135760498430693, 0.2851044187943141, 0.1593856427546901, 0.23746073898633546, -0.36170156010793464, -0.23297243702549938, 0.2291001987548291, 0.07477922331732274, -0.01789026351991307, -0.07570507270407467, -0.3068988046919306, 0.09342497834145572, -0.02979471507679784, -0.14114215897544372, -0.1523023194732201, 0.01749541468399746, -0.04763016530848814, -0.21209095907926728, -0.03400351272924154, 0.17029271584981348, 0.08829523486113458, -0.12566739934228474, -0.06244042428795982, -0.035874532259626765, -0.024067427382705675, 0.023745110639724357, 0.2011573749530891, 0.09364540662235496, 0.0076276345383975595, -0.1486367316754309, 0.34497246665484976, -0.1435772319695609, -0.4167596745078988, 0.06418876711342653, -0.10303410234734077, -0.14299438470819345, 0.07340477360500672, 0.18462520376003036, 0.1989613457893332, -0.07498630167383728, 0.21152390774990304, -0.0965793019259405, 0.057073512209833345, 0.09881018249981219, -0.030590238406809724, 0.14126613317233877, 0.06216182044326243, 0.17523009852139335, 0.08404688113924666, 0.02291750352279368, -0.10013030555273872, -0.34525101553564047, -0.2700840971206851, -0.08526350307246586, 0.23440837635743347, -0.168020687362128, -0.2734749490169413, 0.3611163518913655, -0.029451902913437647, 0.16859274079924394, 0.134624152592468, 0.18823584854235928, 0.02185443735498032, 0.0008532562448332707, 0.15847528285600923, 0.20471091971800584, 0.23290288656646613, 0.04725056531782629, -0.05467782473847778, -0.07627231859475035, 0.12377597348214212] |
1,802.02406 | Nonrelativistic Limit of Dirac Theory From Effective Field Theory | In this work we analyze the low energy nonrelativistic limit of Dirac theory
in the framework of effective field theory. By integrating out the high energy
modes of Dirac field, given in terms of a combination of the two-components
Weyl spinors, we obtain a low energy effective action for the remaining
components, whose equation of motion can then be compared to the
Pauli-Schr\"odinger equation after demanding normalization of the wave
function. We then discuss the relevance of the terms in the effective action in
the context of an anisotropic dimensional analysis which is suitable for
nonrelativistic theories.
| hep-th | in this work we analyze the low energy nonrelativistic limit of dirac theory in the framework of effective field theory by integrating out the high energy modes of dirac field given in terms of a combination of the twocomponents weyl spinors we obtain a low energy effective action for the remaining components whose equation of motion can then be compared to the paulischrodinger equation after demanding normalization of the wave function we then discuss the relevance of the terms in the effective action in the context of an anisotropic dimensional analysis which is suitable for nonrelativistic theories | [['in', 'this', 'work', 'we', 'analyze', 'the', 'low', 'energy', 'nonrelativistic', 'limit', 'of', 'dirac', 'theory', 'in', 'the', 'framework', 'of', 'effective', 'field', 'theory', 'by', 'integrating', 'out', 'the', 'high', 'energy', 'modes', 'of', 'dirac', 'field', 'given', 'in', 'terms', 'of', 'a', 'combination', 'of', 'the', 'twocomponents', 'weyl', 'spinors', 'we', 'obtain', 'a', 'low', 'energy', 'effective', 'action', 'for', 'the', 'remaining', 'components', 'whose', 'equation', 'of', 'motion', 'can', 'then', 'be', 'compared', 'to', 'the', 'paulischrodinger', 'equation', 'after', 'demanding', 'normalization', 'of', 'the', 'wave', 'function', 'we', 'then', 'discuss', 'the', 'relevance', 'of', 'the', 'terms', 'in', 'the', 'effective', 'action', 'in', 'the', 'context', 'of', 'an', 'anisotropic', 'dimensional', 'analysis', 'which', 'is', 'suitable', 'for', 'nonrelativistic', 'theories']] | [-0.13252349245450795, 0.1373375422123534, -0.08653502515277144, 0.05366804537161724, -0.03983600907623, -0.07016828404643487, 0.010837249744673903, 0.29301286073996846, -0.24272298309279933, -0.30368170119130733, 0.05039474438064607, -0.2447561043765895, -0.14821553375264726, 0.1423591900540074, -0.0031103007159359063, 0.034729355629341506, 0.019442225888025823, 0.10464662872254848, -0.12284773629465975, -0.20524487538820074, 0.3683724666936035, 0.07194172624095353, 0.28136288840323687, 0.05524092674562611, 0.1357602222688189, 0.028767463359885764, 0.00180834498659698, 0.04686722913084878, -0.09084536903297778, 0.1411916358761259, 0.22248877992027813, 0.027122159046841038, 0.23365120484119223, -0.42521491571876807, -0.23989464448208048, 0.05513920503447658, 0.16357502016747735, 0.12042881729268498, -0.01359979879379887, -0.276232940365666, 0.07419632809697506, -0.18484253157890335, -0.18989638011115267, -0.09711449422403094, 0.008584436463652966, -0.008369905826126792, -0.23315563810552403, 0.111074336245476, 0.018208027183625502, 0.022952471629322804, -0.12953646744111763, -0.08582975556737907, -0.012119573281751466, 0.07036817780475027, 0.080959604253762, 0.01805027234656064, 0.07599612785810508, -0.2116605807369552, -0.06809525860991981, 0.4268352466529792, -0.13347259365483044, -0.24069268429248603, 0.14175963106315545, -0.10540084669980959, -0.11129706186847281, 0.09451535214026718, 0.1700918429636771, 0.1496688381183086, -0.16713181614261313, 0.16797470996101127, -0.002090445431471399, 0.07937049073138341, 0.0524750135205302, 0.04578888946280037, 0.22585478597848685, 0.14074615638741514, 0.024779803025312408, 0.11391471128445119, -0.05106289929604715, -0.08663569224191849, -0.36025093267335717, -0.2084157835096889, -0.16664062324220064, 0.06243319006216083, -0.11381070729652323, -0.14358601738823598, 0.4429980977870447, 0.15721027564903067, 0.17214362243593662, 0.005157713654700705, 0.2724579888175136, 0.2515619598405877, 0.03161041105895774, 0.06453079623458235, 0.25744087613768607, 0.14384623907852112, 0.06288846691628706, -0.23287599568840922, -0.09777214990679137, 0.09520442618690815] |
1,802.02407 | Management of the Correlations of Ultracold Bosons in Triple Wells | Ultracold interacting atoms are an excellent tool to study correlation
functions of many-body systems that are generally eluding detection and
manipulation. Herein, we investigate the ground state of bosons in a tilted
triple-well potential and characterize the many-body state by the eigenvalues
of its reduced one-body density matrix and Glauber correlation functions. We
unveil how the interplay between the interaction strength and the tilt can be
used to control the number of correlated wells as well as the fragmentation,
i.e. the number of macroscopic eigenvalues of the reduced one-body density
matrix.
| cond-mat.quant-gas physics.atom-ph quant-ph | ultracold interacting atoms are an excellent tool to study correlation functions of manybody systems that are generally eluding detection and manipulation herein we investigate the ground state of bosons in a tilted triplewell potential and characterize the manybody state by the eigenvalues of its reduced onebody density matrix and glauber correlation functions we unveil how the interplay between the interaction strength and the tilt can be used to control the number of correlated wells as well as the fragmentation ie the number of macroscopic eigenvalues of the reduced onebody density matrix | [['ultracold', 'interacting', 'atoms', 'are', 'an', 'excellent', 'tool', 'to', 'study', 'correlation', 'functions', 'of', 'manybody', 'systems', 'that', 'are', 'generally', 'eluding', 'detection', 'and', 'manipulation', 'herein', 'we', 'investigate', 'the', 'ground', 'state', 'of', 'bosons', 'in', 'a', 'tilted', 'triplewell', 'potential', 'and', 'characterize', 'the', 'manybody', 'state', 'by', 'the', 'eigenvalues', 'of', 'its', 'reduced', 'onebody', 'density', 'matrix', 'and', 'glauber', 'correlation', 'functions', 'we', 'unveil', 'how', 'the', 'interplay', 'between', 'the', 'interaction', 'strength', 'and', 'the', 'tilt', 'can', 'be', 'used', 'to', 'control', 'the', 'number', 'of', 'correlated', 'wells', 'as', 'well', 'as', 'the', 'fragmentation', 'ie', 'the', 'number', 'of', 'macroscopic', 'eigenvalues', 'of', 'the', 'reduced', 'onebody', 'density', 'matrix']] | [-0.13108716854968896, 0.2087518732425831, -0.06832401712353413, 0.0980414950217192, 0.05758469531333053, -0.11310958669899585, -0.00974209831034826, 0.3469417250745899, -0.27183897078426167, -0.29555836354720066, 0.02394220456455394, -0.31189932298570217, -0.1589236982258876, 0.11494960590869516, 0.07132212706754537, 0.10137235516475022, 0.03535667763879666, 0.011365425394295336, -0.10480167397175107, -0.19185064170141142, 0.32220865331160337, 0.05020619931395401, 0.23042072720856374, 0.10181727549726409, 0.03005075775557658, 0.07240839377250317, 0.05866937733326967, 0.0016556295801650038, -0.08850981191014629, 0.11244076099963142, 0.24238736562208263, 0.05586437721337591, 0.24011320100872072, -0.4696140936524658, -0.16646468748880938, 0.12455933149085267, 0.1743877224399002, 0.12912626627955462, -0.025779466748565107, -0.335955805339656, -0.024565185563495524, -0.22706152124146184, -0.17912400994388447, -0.14152093190740753, 0.031822220340453004, 0.07898958061903633, -0.25688555650413036, 0.11835694220300846, -0.03097025214842838, 0.04042223910545255, -0.06004871199979539, -0.09621209479295291, -0.03588844482930234, 0.1411070658180576, -0.009707629214972258, 0.0022058107117497987, 0.1698650457041727, -0.18555850397212084, -0.07796954459147426, 0.3655642578685349, -0.0577481242695025, -0.19490939668881205, 0.21979358431305557, -0.14760801928363496, -0.04241362983708853, 0.09770700432216892, 0.1846670781129173, 0.06384030676825525, -0.13318176793732814, 0.08409851791265492, -0.031117182555045565, 0.1761885552019761, 0.009606012132960362, 0.10377321865634767, 0.22105281947405783, 0.12042911876770822, 0.07313019554975064, 0.15420628623246307, -0.07642962239109553, -0.14348187250504782, -0.25921085300845104, -0.15159317807354875, -0.2799301011344561, 0.04444385197648144, -0.06251571170798922, -0.18236309289420535, 0.4393368980202537, 0.14452890223301537, 0.19275347379056718, 0.005670908260271772, 0.24173277872358703, 0.16690115181596152, 0.0069795616820536475, -0.007199091863675186, 0.24777050766643588, 0.2298206415943351, 0.018941391238963212, -0.31783275872182387, 0.053367807838335314, 0.04230550006748392] |
1,802.02408 | Exploiting ecology in drug pulse sequences in favour of population
reduction | A deterministic population dynamics model involving birth and death for a
two-species system, comprising a wild-type and more resistant species competing
via logistic growth, is subjected to two distinct stress environments designed
to mimic those that would typically be induced by temporal variation in the
concentration of a drug (antibiotic or chemotherapeutic) as it permeates
through the population and is progressively degraded. Different treatment
regimes, involving single or periodical doses, are evaluated in terms of the
minimal population size (a measure of the extinction probability), and the
population composition (a measure of the selection pressure for resistance or
tolerance during the treatment). We show that there exist timescales over which
the low-stress regime is as effective as the high-stress regime, due to the
competition between the two species. For multiple periodic treatments,
competition can ensure that the minimal population size is attained during the
first pulse when the high-stress regime is short, which implies that a single
short pulse can be more effective than a more protracted regime. Our results
suggest that when the duration of the high-stress environment is restricted, a
treatment with one or multiple shorter pulses can produce better outcomes than
a single long treatment. If ecological competition is to be exploited for
treatments, it is crucial to determine these timescales, and estimate for the
minimal population threshold that suffices for extinction. These parameters can
be quantified by experiment.
| physics.bio-ph | a deterministic population dynamics model involving birth and death for a twospecies system comprising a wildtype and more resistant species competing via logistic growth is subjected to two distinct stress environments designed to mimic those that would typically be induced by temporal variation in the concentration of a drug antibiotic or chemotherapeutic as it permeates through the population and is progressively degraded different treatment regimes involving single or periodical doses are evaluated in terms of the minimal population size a measure of the extinction probability and the population composition a measure of the selection pressure for resistance or tolerance during the treatment we show that there exist timescales over which the lowstress regime is as effective as the highstress regime due to the competition between the two species for multiple periodic treatments competition can ensure that the minimal population size is attained during the first pulse when the highstress regime is short which implies that a single short pulse can be more effective than a more protracted regime our results suggest that when the duration of the highstress environment is restricted a treatment with one or multiple shorter pulses can produce better outcomes than a single long treatment if ecological competition is to be exploited for treatments it is crucial to determine these timescales and estimate for the minimal population threshold that suffices for extinction these parameters can be quantified by experiment | [['a', 'deterministic', 'population', 'dynamics', 'model', 'involving', 'birth', 'and', 'death', 'for', 'a', 'twospecies', 'system', 'comprising', 'a', 'wildtype', 'and', 'more', 'resistant', 'species', 'competing', 'via', 'logistic', 'growth', 'is', 'subjected', 'to', 'two', 'distinct', 'stress', 'environments', 'designed', 'to', 'mimic', 'those', 'that', 'would', 'typically', 'be', 'induced', 'by', 'temporal', 'variation', 'in', 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1,802.02409 | Unique Quasi-Stationary Distribution, with a possibly stabilizing
extinction | We establish sufficient conditions for exponential convergence to a unique
quasi-stationary distribution in the total variation norm. These conditions
also ensure the existence and exponential ergodicity of the Q-process, the
process conditionned upon never being absorbed. The technique relies on a
coupling procedure that is related to Harris recurrence (for Markov Chains). It
applies to general continuous-time and continuous-space Markov processes. The
main novelty is that we modulate each coupling step depending both on a final
horizon of time (for survival) and on the initial distribution. By this way, we
could notably include in the convergence a dependency on the initial condition.
As an illustration, we consider a continuous-time birth-death process with
catastrophes and a diffusion process describing a (localized) population
adapting to its environment.
| math.PR | we establish sufficient conditions for exponential convergence to a unique quasistationary distribution in the total variation norm these conditions also ensure the existence and exponential ergodicity of the qprocess the process conditionned upon never being absorbed the technique relies on a coupling procedure that is related to harris recurrence for markov chains it applies to general continuoustime and continuousspace markov processes the main novelty is that we modulate each coupling step depending both on a final horizon of time for survival and on the initial distribution by this way we could notably include in the convergence a dependency on the initial condition as an illustration we consider a continuoustime birthdeath process with catastrophes and a diffusion process describing a localized population adapting to its environment | [['we', 'establish', 'sufficient', 'conditions', 'for', 'exponential', 'convergence', 'to', 'a', 'unique', 'quasistationary', 'distribution', 'in', 'the', 'total', 'variation', 'norm', 'these', 'conditions', 'also', 'ensure', 'the', 'existence', 'and', 'exponential', 'ergodicity', 'of', 'the', 'qprocess', 'the', 'process', 'conditionned', 'upon', 'never', 'being', 'absorbed', 'the', 'technique', 'relies', 'on', 'a', 'coupling', 'procedure', 'that', 'is', 'related', 'to', 'harris', 'recurrence', 'for', 'markov', 'chains', 'it', 'applies', 'to', 'general', 'continuoustime', 'and', 'continuousspace', 'markov', 'processes', 'the', 'main', 'novelty', 'is', 'that', 'we', 'modulate', 'each', 'coupling', 'step', 'depending', 'both', 'on', 'a', 'final', 'horizon', 'of', 'time', 'for', 'survival', 'and', 'on', 'the', 'initial', 'distribution', 'by', 'this', 'way', 'we', 'could', 'notably', 'include', 'in', 'the', 'convergence', 'a', 'dependency', 'on', 'the', 'initial', 'condition', 'as', 'an', 'illustration', 'we', 'consider', 'a', 'continuoustime', 'birthdeath', 'process', 'with', 'catastrophes', 'and', 'a', 'diffusion', 'process', 'describing', 'a', 'localized', 'population', 'adapting', 'to', 'its', 'environment']] | [-0.09327161283418536, 0.12380579802498687, -0.12204395813704469, 0.11800248660122452, -0.04802447219751775, -0.12688372814655305, 0.07727237616851926, 0.3833435323238373, -0.28243728425353765, -0.2250928496904671, 0.16523974631121383, -0.20479579339921475, -0.12275038379617036, 0.16407663948182016, -0.05964957352727652, 0.0691571162478067, 0.0631928459731862, 0.03403127296641469, -0.006163988132029772, -0.23272144376300274, 0.3258262706696987, 0.07099070064537227, 0.2740742699187249, 0.022413494810462, 0.14379704489931464, 0.04281771629303694, 0.011529723030980677, -0.05839962599799037, -0.1552003318859497, 0.057631088972091675, 0.1472461470235139, 0.1175628309175372, 0.31266884663747624, -0.394523640781641, -0.18860054881870747, 0.13399412305653094, 0.15321636037528516, 0.1365419397354126, -0.0360751584880054, -0.28284220848977565, 0.04278257745690644, -0.1194287164369598, -0.1528132504783571, -0.04522468415647745, 0.017580894332379103, 0.07607995130866765, -0.3385718728229403, 0.08515948465256952, 0.12335759626328945, 0.0058535377520602195, -0.06909329679701477, -0.05042227604892105, -0.0168761299289763, 0.11582055956497789, 0.055444217464188116, -0.021711257103830577, 0.14493466721475123, -0.07189548023871611, -0.11041226109117269, 0.289031492613256, -0.10602079049497842, -0.22645570325106382, 0.21999184188246726, -0.13670959575846792, -0.18822524928301573, 0.11875268453359604, 0.18135162015259265, 0.12176044335775077, -0.18541290673380717, 0.08763539495505393, -0.0020300866439938547, 0.12839480153191835, 0.03685145376622677, 0.0044810310215689245, 0.14713349594548344, 0.19885464041493833, 0.14262817437388003, 0.16424237648397685, -0.029529344681650402, -0.16774787332117558, -0.3304239101074636, -0.17238975087366998, -0.18017874155193567, 0.09289194838516414, -0.10392016730410979, -0.19904892671108246, 0.38469659674167633, 0.15949854089319707, 0.21684673788398504, 0.11645529029518366, 0.2311217190809548, 0.1741832013730891, -0.016479360565543173, 0.06038662000594195, 0.15863323910534383, 0.1524949803110212, 0.09515097015351057, -0.21886729393154383, 0.17263406248763202, 0.08520574500411748] |
1,802.0241 | Gundy-Varopoulos martingale transforms and their projection operators on
manifolds and vector bundles | This paper proves the $L^p$ boundedness of generalized first order Riesz
transforms obtained as conditional expectations of martingale transforms \`a la
Gundy-Varopoulos for quite general diffusions on manifolds and vector bundles.
Several specific examples and applications are presented: Lie groups of compact
type, the Heisenberg group, SU(2), and Riesz transforms on forms and spinors.
| math.FA math.PR | this paper proves the lp boundedness of generalized first order riesz transforms obtained as conditional expectations of martingale transforms a la gundyvaropoulos for quite general diffusions on manifolds and vector bundles several specific examples and applications are presented lie groups of compact type the heisenberg group su2 and riesz transforms on forms and spinors | [['this', 'paper', 'proves', 'the', 'lp', 'boundedness', 'of', 'generalized', 'first', 'order', 'riesz', 'transforms', 'obtained', 'as', 'conditional', 'expectations', 'of', 'martingale', 'transforms', 'a', 'la', 'gundyvaropoulos', 'for', 'quite', 'general', 'diffusions', 'on', 'manifolds', 'and', 'vector', 'bundles', 'several', 'specific', 'examples', 'and', 'applications', 'are', 'presented', 'lie', 'groups', 'of', 'compact', 'type', 'the', 'heisenberg', 'group', 'su2', 'and', 'riesz', 'transforms', 'on', 'forms', 'and', 'spinors']] | [-0.12597388514089133, 0.08433018438847524, -0.060492284929836694, 0.17759381816942105, -0.1795125005872182, -0.09705776605263071, -0.017198517780206254, 0.3913361926404935, -0.27647238745758274, -0.13475906167109059, 0.17719473945029643, -0.2702677481684764, -0.14833748834383376, 0.23588982831142, -0.1020160637760781, 0.03556056426100011, -0.00038964628189239864, 0.07891723999911744, -0.17382800997287598, -0.30048171778754246, 0.40766942494917874, -0.054461598732368145, 0.2682476729365452, -0.037753371987491846, 0.13239866778043644, 0.04032277390536553, -0.0016794331231207219, -0.09431651288221748, -0.11670292560714034, 0.18963338841051566, 0.2718441825852079, 0.00495285800886604, 0.21888923202202004, -0.41420542512018726, -0.15782468063089083, 0.14961968258655858, 0.10087884279881727, -0.051218047210911534, -0.07598435355543669, -0.4000204440979463, 0.032462665793608944, -0.11106069713615689, -0.12597233366291477, -0.19319707362578725, 0.010117793561152692, 0.07489592411757429, -0.27139278388810606, 0.07074318837620458, 0.17146288232772416, 0.07585176389954351, -0.15403797778845676, -0.19114961409897385, -0.00748732874064513, 0.004643848209800023, 0.02093768738350778, -0.016862627048537415, 0.08880624631946941, 0.006394550797336225, -0.16297326285286612, 0.37412159201109185, -0.058829666407480136, -0.26172566483289283, 0.1382450491260245, -0.16009874399399981, -0.19689706321981437, 0.02837571993751346, 0.14067548867051471, 0.16152802137833722, -0.11324768225258251, 0.17475281825798722, -0.05564633297364948, 0.03697814110596225, 0.07802253454607332, 0.04271142685210402, 0.07555832854419384, 0.06866017170250416, 0.12826534748991142, 0.12065503086437876, 0.025787163429173095, -0.12258945414269308, -0.4056461523111277, -0.24606705702542556, -0.17188210866220718, 0.09032161586548922, -0.15136970952921985, -0.1579742247924068, 0.36864114897149913, 0.025105902468533045, 0.1259511957155927, 0.14966489156743265, 0.14225217172840857, 0.1243561819867881, 0.021730902534470242, 0.014308262735007788, 0.10972942324038946, 0.28479016610895685, 0.07401758037015514, -0.07735576111612455, -0.07967860482738547, 0.23343408845786778] |
1,802.02411 | Gauge-invariant formulation of time-dependent configuration interaction
singles method | We propose a gauge-invariant formulation of the channel orbital-based
time-dependent configuration interaction singles (TDCIS) method [Phys. Rev. A
74, 043420 (2006)], one of the powerful ab initio methods to investigate
electron dynamics in atoms and molecules subject to an external laser field. In
the present formulation, we derive the equations of motion (EOMs) in the
velocity gauge using gauge-transformed orbitals, not fixed orbitals, that are
equivalent to the conventional EOMs in the length gauge using fixed orbitals.
The new velocity-gauge EOMs avoid the use of the length-gauge dipole operator,
which diverges at large distance, and allows to exploit computational
advantages of the velocity-gauge treatment over the length-gauge one, e.g, a
faster convergence in simulations with intense and long-wavelength lasers, and
the feasibility of exterior complex scaling as an absorbing boundary. The
reformulated TDCIS method is applied to an exactly solvable model of
one-dimensional helium atom in an intense laser field to numerically
demonstrate the gauge invariance. We also discuss the consistent method for
evaluating the time derivative of an observable, relevant e.g, in simulating
high-harmonic generation.
| physics.atom-ph | we propose a gaugeinvariant formulation of the channel orbitalbased timedependent configuration interaction singles tdcis method phys rev a 74 043420 2006 one of the powerful ab initio methods to investigate electron dynamics in atoms and molecules subject to an external laser field in the present formulation we derive the equations of motion eoms in the velocity gauge using gaugetransformed orbitals not fixed orbitals that are equivalent to the conventional eoms in the length gauge using fixed orbitals the new velocitygauge eoms avoid the use of the lengthgauge dipole operator which diverges at large distance and allows to exploit computational advantages of the velocitygauge treatment over the lengthgauge one eg a faster convergence in simulations with intense and longwavelength lasers and the feasibility of exterior complex scaling as an absorbing boundary the reformulated tdcis method is applied to an exactly solvable model of onedimensional helium atom in an intense laser field to numerically demonstrate the gauge invariance we also discuss the consistent method for evaluating the time derivative of an observable relevant eg in simulating highharmonic generation | [['we', 'propose', 'a', 'gaugeinvariant', 'formulation', 'of', 'the', 'channel', 'orbitalbased', 'timedependent', 'configuration', 'interaction', 'singles', 'tdcis', 'method', 'phys', 'rev', 'a', '74', '043420', '2006', 'one', 'of', 'the', 'powerful', 'ab', 'initio', 'methods', 'to', 'investigate', 'electron', 'dynamics', 'in', 'atoms', 'and', 'molecules', 'subject', 'to', 'an', 'external', 'laser', 'field', 'in', 'the', 'present', 'formulation', 'we', 'derive', 'the', 'equations', 'of', 'motion', 'eoms', 'in', 'the', 'velocity', 'gauge', 'using', 'gaugetransformed', 'orbitals', 'not', 'fixed', 'orbitals', 'that', 'are', 'equivalent', 'to', 'the', 'conventional', 'eoms', 'in', 'the', 'length', 'gauge', 'using', 'fixed', 'orbitals', 'the', 'new', 'velocitygauge', 'eoms', 'avoid', 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1,802.02412 | Analysis of stochastic bifurcations with phase portraits | We propose a method to obtain phase portraits for stochastic systems.
Starting from the Fokker-Planck equation, we separate the dynamics into a
convective and a diffusive part. We show that stable and unstable fixed points
of the convective field correspond to maxima and minima of the stationary
probability distribution if the probability current vanishes at these points.
Stochastic phase portraits, which are vector plots of the convective field,
therefore indicate the extrema of the stationary distribution and can be used
to identify stochastic bifurcations that change the number and stability of
these extrema. We show that limit cycles in stochastic phase portraits can
indicate ridges of the probability distribution, and we identify a novel type
of stochastic bifurcations, where the probability maximum moves to the edge of
the system through a gap between the two nullclines of the convective field.
| cond-mat.stat-mech physics.data-an | we propose a method to obtain phase portraits for stochastic systems starting from the fokkerplanck equation we separate the dynamics into a convective and a diffusive part we show that stable and unstable fixed points of the convective field correspond to maxima and minima of the stationary probability distribution if the probability current vanishes at these points stochastic phase portraits which are vector plots of the convective field therefore indicate the extrema of the stationary distribution and can be used to identify stochastic bifurcations that change the number and stability of these extrema we show that limit cycles in stochastic phase portraits can indicate ridges of the probability distribution and we identify a novel type of stochastic bifurcations where the probability maximum moves to the edge of the system through a gap between the two nullclines of the convective field | [['we', 'propose', 'a', 'method', 'to', 'obtain', 'phase', 'portraits', 'for', 'stochastic', 'systems', 'starting', 'from', 'the', 'fokkerplanck', 'equation', 'we', 'separate', 'the', 'dynamics', 'into', 'a', 'convective', 'and', 'a', 'diffusive', 'part', 'we', 'show', 'that', 'stable', 'and', 'unstable', 'fixed', 'points', 'of', 'the', 'convective', 'field', 'correspond', 'to', 'maxima', 'and', 'minima', 'of', 'the', 'stationary', 'probability', 'distribution', 'if', 'the', 'probability', 'current', 'vanishes', 'at', 'these', 'points', 'stochastic', 'phase', 'portraits', 'which', 'are', 'vector', 'plots', 'of', 'the', 'convective', 'field', 'therefore', 'indicate', 'the', 'extrema', 'of', 'the', 'stationary', 'distribution', 'and', 'can', 'be', 'used', 'to', 'identify', 'stochastic', 'bifurcations', 'that', 'change', 'the', 'number', 'and', 'stability', 'of', 'these', 'extrema', 'we', 'show', 'that', 'limit', 'cycles', 'in', 'stochastic', 'phase', 'portraits', 'can', 'indicate', 'ridges', 'of', 'the', 'probability', 'distribution', 'and', 'we', 'identify', 'a', 'novel', 'type', 'of', 'stochastic', 'bifurcations', 'where', 'the', 'probability', 'maximum', 'moves', 'to', 'the', 'edge', 'of', 'the', 'system', 'through', 'a', 'gap', 'between', 'the', 'two', 'nullclines', 'of', 'the', 'convective', 'field']] | [-0.1727785495043333, 0.1435484033884547, -0.1352449975808018, 0.07953033317545695, -0.021213072536712778, -0.07181260893786592, 0.09930047868152282, 0.3076646219406809, -0.3080883318824427, -0.2607606328890792, 0.08987098453050879, -0.26589127414460695, -0.1892859065373029, 0.15217645556799003, -0.03932693180062675, 0.04759273858009172, 0.06009705187752843, 0.038955632958095524, -0.06648638707618894, -0.16907216972405356, 0.33430476380246027, -0.032758716962832425, 0.2573346256777378, -0.031127668617825423, 0.10685751118165042, -0.05950854369272877, 0.01502070502278262, 0.04482901645824313, -0.13675910533051397, 0.04126696955312842, 0.21068488199795996, 0.09380256854263799, 0.2512606920275305, -0.4350353954093797, -0.20761860874148885, 0.1357506516788687, 0.1641962614856311, 0.1187548931812801, -0.01257089797644377, -0.27678462804428167, 0.08773358037828334, -0.0987743403696056, -0.15263513399155013, -0.0778993854764849, 0.015826849167933688, 0.11500193661610995, -0.2900578783924824, 0.08997055202988642, 0.06240288238706333, 0.03667540383924331, -0.08162143680305495, -0.08730812650423364, -0.12037624636598464, 0.13035499842039178, 0.05016511852986046, -0.001051904186273792, 0.11815698029074286, -0.11608401397243143, -0.0870278482258852, 0.3204319472424686, -0.10748732505599037, -0.1793806731567851, 0.16768145896161774, -0.1812585476320237, -0.0872981429765267, 0.18645510777964125, 0.19263605687301605, 0.13174512008471148, -0.1098766550820853, 0.016582374990684913, 0.012195245482559715, 0.11755165496475196, 0.054691426598999116, -0.020093802632098753, 0.2498777776357851, 0.138729059619696, 0.12176728039048612, 0.13510196777642705, -0.1691307006495273, -0.18723793820078885, -0.32762317040136885, -0.1476321438926139, -0.14593389895079392, 0.017205700876989534, -0.10878508688620059, -0.21668712716948774, 0.43535905977977174, 0.17301675890505847, 0.23200195436365903, 0.05264359760414144, 0.2421619566024414, 0.1949240844779914, -0.02547459260427526, 0.1295772777005498, 0.22609245306146997, 0.1254371125916285, 0.10731017815414816, -0.24715637615050323, 0.03799445531663618, 0.09841126041885997] |
1,802.02413 | Structure, magnetic and transport properties of epitaxial thin films of
equiatomic CoFeMnGe quaternary Heusler alloy | Future spintronics requires the realization of thin film of half-metallic
ferromagnets having high Curie temperature and 100\% spin polarization at the
Fermi level for potential spintronics applications. In this paper, we report
the epitaxial thin films growth of half-metallic CoFeMnGe Heusler alloy on MgO
(001) substrate using pulsed laser deposition system, along with the study of
structural, magnetic and transport properties. The magnetic property
measurements of the thin film suggest a soft ferromagnetic state at room
temperature with an in-plane magnetic anisotropy and a Curie temperature well
above the room temperature. Anisotropic magnetoresistance (AMR) ratio and
temperature dependent electrical resistivity measurements of the thin film
indicate the compound to be half-metallic in nature and therefore suitable for
the fabrications of spintronics devices.
| cond-mat.mtrl-sci | future spintronics requires the realization of thin film of halfmetallic ferromagnets having high curie temperature and 100 spin polarization at the fermi level for potential spintronics applications in this paper we report the epitaxial thin films growth of halfmetallic cofemnge heusler alloy on mgo 001 substrate using pulsed laser deposition system along with the study of structural magnetic and transport properties the magnetic property measurements of the thin film suggest a soft ferromagnetic state at room temperature with an inplane magnetic anisotropy and a curie temperature well above the room temperature anisotropic magnetoresistance amr ratio and temperature dependent electrical resistivity measurements of the thin film indicate the compound to be halfmetallic in nature and therefore suitable for the fabrications of spintronics devices | [['future', 'spintronics', 'requires', 'the', 'realization', 'of', 'thin', 'film', 'of', 'halfmetallic', 'ferromagnets', 'having', 'high', 'curie', 'temperature', 'and', '100', 'spin', 'polarization', 'at', 'the', 'fermi', 'level', 'for', 'potential', 'spintronics', 'applications', 'in', 'this', 'paper', 'we', 'report', 'the', 'epitaxial', 'thin', 'films', 'growth', 'of', 'halfmetallic', 'cofemnge', 'heusler', 'alloy', 'on', 'mgo', '001', 'substrate', 'using', 'pulsed', 'laser', 'deposition', 'system', 'along', 'with', 'the', 'study', 'of', 'structural', 'magnetic', 'and', 'transport', 'properties', 'the', 'magnetic', 'property', 'measurements', 'of', 'the', 'thin', 'film', 'suggest', 'a', 'soft', 'ferromagnetic', 'state', 'at', 'room', 'temperature', 'with', 'an', 'inplane', 'magnetic', 'anisotropy', 'and', 'a', 'curie', 'temperature', 'well', 'above', 'the', 'room', 'temperature', 'anisotropic', 'magnetoresistance', 'amr', 'ratio', 'and', 'temperature', 'dependent', 'electrical', 'resistivity', 'measurements', 'of', 'the', 'thin', 'film', 'indicate', 'the', 'compound', 'to', 'be', 'halfmetallic', 'in', 'nature', 'and', 'therefore', 'suitable', 'for', 'the', 'fabrications', 'of', 'spintronics', 'devices']] | [-0.18015394863203044, 0.2210058603361913, 0.011477728520543122, -0.09055056994346024, -0.07021191132770589, -0.14402314768873217, 0.09053827887728103, 0.4796166090210053, -0.28833596862483124, -0.32503682990319843, 0.008637915194142332, -0.32830662126383503, -0.023170955040422846, 0.26476599600874196, 0.08888522682572939, 0.05721132164390003, -0.08711500205715333, -0.13413670431814842, -0.13510640836051427, -0.1983826466920701, 0.242026740577349, 0.06326086091046984, 0.39100484839401956, 0.14560731031839574, 0.062294939756085556, -0.020633814221898417, 0.25816318432969804, 0.020110438339227488, -0.1891274657598331, -0.006109144900394372, 0.2708530745272763, -0.2637120857796332, 0.13386445889665075, -0.47956057679493075, -0.20427781390603478, -0.07888089155793683, 0.05092891923648359, 0.12331610270520896, -0.14993689008045571, -0.2299803434755684, 0.09889993881171738, -0.09637817612672148, -0.12933857281764966, -0.1256565064391937, -0.04040794344575622, -0.01783283387670632, -0.22548692046341387, 0.10286618776096046, 0.09098912841228629, 0.18754698086745483, -0.14912046811676657, -0.1871440224070487, -0.12432381597901733, -0.03725080620853446, 0.06701129282659213, 0.08428555428871139, 0.271654566161119, -0.1165182254708195, -0.0989677510349357, 0.2945852472546918, -0.04077130721397082, 0.019527027060177702, 0.11224002552542005, -0.24231601513495038, -0.050616432643256895, 0.1376340889471991, 0.1406964967643057, 0.12533980969355002, -0.16847900579845118, 0.10909047107595166, 0.07934864462461046, 0.21754557211413855, 0.05009282154823877, 0.07905706446925717, 0.3308285118257704, 0.29341023292850454, 0.014342784743047943, 0.15674621373903747, -0.14176922912463114, 0.062195072181461274, -0.15560637735415342, -0.2564226170532282, -0.24663698287538352, 0.13524629054052278, -0.14981092560268103, -0.26808902832548603, 0.3723862417319343, 0.20461101719170563, 0.11370125363680943, -0.09054552674801512, 0.2609120348751283, 0.048175479298888525, 0.0458508326868288, 0.017346933410957086, 0.24179507795459598, 0.2399921674773959, 0.24008642306045266, -0.271328257989477, 0.1897932205855277, -0.09982633542207893] |
1,802.02414 | Cosmology and Dark Matter | This lecture course covers cosmology from the particle physicist perspective.
Therefore, the emphasis will be on the evidence for the new physics in
cosmological and astrophysical data together with minimal theoretical
frameworks needed to understand and appreciate the evidence. I review the case
for non-baryonic dark matter and describe popular models which incorporate it.
In parallel, the story of dark energy will be developed, which includes
accelerated expansion of the Universe today, the Universe origin in the Big
Bang, and support for the Inflationary theory in CMBR data.
| gr-qc | this lecture course covers cosmology from the particle physicist perspective therefore the emphasis will be on the evidence for the new physics in cosmological and astrophysical data together with minimal theoretical frameworks needed to understand and appreciate the evidence i review the case for nonbaryonic dark matter and describe popular models which incorporate it in parallel the story of dark energy will be developed which includes accelerated expansion of the universe today the universe origin in the big bang and support for the inflationary theory in cmbr data | [['this', 'lecture', 'course', 'covers', 'cosmology', 'from', 'the', 'particle', 'physicist', 'perspective', 'therefore', 'the', 'emphasis', 'will', 'be', 'on', 'the', 'evidence', 'for', 'the', 'new', 'physics', 'in', 'cosmological', 'and', 'astrophysical', 'data', 'together', 'with', 'minimal', 'theoretical', 'frameworks', 'needed', 'to', 'understand', 'and', 'appreciate', 'the', 'evidence', 'i', 'review', 'the', 'case', 'for', 'nonbaryonic', 'dark', 'matter', 'and', 'describe', 'popular', 'models', 'which', 'incorporate', 'it', 'in', 'parallel', 'the', 'story', 'of', 'dark', 'energy', 'will', 'be', 'developed', 'which', 'includes', 'accelerated', 'expansion', 'of', 'the', 'universe', 'today', 'the', 'universe', 'origin', 'in', 'the', 'big', 'bang', 'and', 'support', 'for', 'the', 'inflationary', 'theory', 'in', 'cmbr', 'data']] | [-0.029637300782434813, 0.10817183715037325, -0.1555420910378664, 0.17245392274212049, -0.14541260308628393, -0.12185168666341765, -0.050361735170802356, 0.2886997602022761, -0.22120556104081598, -0.3433999382806095, 0.08627168384158392, -0.27047148740596394, -0.05621172586159611, 0.18982742550460072, -0.02794147206639702, -0.03322454300624403, 0.06790980868126181, 0.021452300896106117, 0.015645687931365417, -0.2863521445542574, 0.3309329585436816, 0.13511053984984756, 0.24747430224140937, 0.05631143071117218, 0.06449756294287826, -0.051424758559071714, -0.13482810104985468, -0.028792159208519894, -0.2048935131487352, 0.10065643684091893, 0.27041949719291963, 0.20946930772730743, 0.24178205054274507, -0.4894581240263175, -0.21833876490762288, 0.12070593725762922, 0.13313049988672984, 0.14298559758869736, -0.09334836111123547, -0.28236812802656047, 0.012826415252427316, -0.16913956368278543, -0.13632354086836462, -0.05268643537684428, -0.007986593039029023, -0.046229530168189245, -0.17458001208830287, 0.07221177297072824, -0.000398608382304453, -0.0010695718228816986, -0.058053098608401014, -0.10660733641866087, 0.08096473396290094, 0.029013585595583372, 0.11587738318220628, 0.022501586835873735, 0.11468720014884391, -0.1749860437676861, -0.09725182282272726, 0.4564898762089962, -0.09156365973599763, -0.08262219854672863, 0.15518037910276855, -0.1460940544176, -0.20667159382190387, 0.05815385039154948, 0.16096027033398225, 0.025308569295289504, -0.14482281111651735, 0.16143120785868217, 0.057523985462136225, 0.12495918760330162, 0.013272032681429251, 0.012173541720998897, 0.3636156061918221, 0.17681012184105135, -0.006137975248169492, 0.0030741755591324445, -0.026329130040143024, -0.13347585691901093, -0.3812904763458805, -0.19748569395266136, -0.15168709752139298, 0.01937214439650151, -0.07665221057289852, -0.14192354021890258, 0.37757135641930456, 0.1900912125446749, 0.14252088783541694, -0.018317588089055127, 0.2893925486661663, -0.016114420077594168, 0.013063069438265467, 0.06637011372103271, 0.2860010543425398, 0.11555474990216846, 0.1920152442550964, -0.1617971603118349, 0.016600876157595354, 0.0023081389266404917] |
1,802.02415 | Breaking the current density threshold in spin-orbit-torque magnetic
random access memory | Spin-orbit-torque magnetic random access memory (SOT-MRAM) is a promising
technology for the next generation of data storage devices. The main bottleneck
of this technology is the high reversal current density threshold. This
outstanding problem of SOT-MRAM is now solved by using a current density of
constant magnitude and varying flow direction that reduces the reversal current
density threshold by a factor of more than the Gilbert damping coefficient. The
Euler-Lagrange equation for the fastest magnetization reversal path and the
optimal current pulse are derived for an arbitrary magnetic cell. The
theoretical limit of minimal reversal current density and current density for a
GHz switching rate of the new reversal strategy for CoFeB/Ta SOT-MRAMs are
respectively of the order of $10^5$ A/cm$^2$ and $10^6$ A/cm$^2$ far below
$10^7$ A/cm$^2$ and $10^8$ A/cm$^2$ in the conventional strategy. Furthermore,
no external magnetic field is needed for a deterministic reversal in the new
strategy.
| cond-mat.mes-hall | spinorbittorque magnetic random access memory sotmram is a promising technology for the next generation of data storage devices the main bottleneck of this technology is the high reversal current density threshold this outstanding problem of sotmram is now solved by using a current density of constant magnitude and varying flow direction that reduces the reversal current density threshold by a factor of more than the gilbert damping coefficient the eulerlagrange equation for the fastest magnetization reversal path and the optimal current pulse are derived for an arbitrary magnetic cell the theoretical limit of minimal reversal current density and current density for a ghz switching rate of the new reversal strategy for cofebta sotmrams are respectively of the order of 105 acm2 and 106 acm2 far below 107 acm2 and 108 acm2 in the conventional strategy furthermore no external magnetic field is needed for a deterministic reversal in the new strategy | [['spinorbittorque', 'magnetic', 'random', 'access', 'memory', 'sotmram', 'is', 'a', 'promising', 'technology', 'for', 'the', 'next', 'generation', 'of', 'data', 'storage', 'devices', 'the', 'main', 'bottleneck', 'of', 'this', 'technology', 'is', 'the', 'high', 'reversal', 'current', 'density', 'threshold', 'this', 'outstanding', 'problem', 'of', 'sotmram', 'is', 'now', 'solved', 'by', 'using', 'a', 'current', 'density', 'of', 'constant', 'magnitude', 'and', 'varying', 'flow', 'direction', 'that', 'reduces', 'the', 'reversal', 'current', 'density', 'threshold', 'by', 'a', 'factor', 'of', 'more', 'than', 'the', 'gilbert', 'damping', 'coefficient', 'the', 'eulerlagrange', 'equation', 'for', 'the', 'fastest', 'magnetization', 'reversal', 'path', 'and', 'the', 'optimal', 'current', 'pulse', 'are', 'derived', 'for', 'an', 'arbitrary', 'magnetic', 'cell', 'the', 'theoretical', 'limit', 'of', 'minimal', 'reversal', 'current', 'density', 'and', 'current', 'density', 'for', 'a', 'ghz', 'switching', 'rate', 'of', 'the', 'new', 'reversal', 'strategy', 'for', 'cofebta', 'sotmrams', 'are', 'respectively', 'of', 'the', 'order', 'of', '105', 'acm2', 'and', '106', 'acm2', 'far', 'below', '107', 'acm2', 'and', '108', 'acm2', 'in', 'the', 'conventional', 'strategy', 'furthermore', 'no', 'external', 'magnetic', 'field', 'is', 'needed', 'for', 'a', 'deterministic', 'reversal', 'in', 'the', 'new', 'strategy']] | [-0.19935043412026318, 0.18325820999095394, 0.04251097891504733, 0.0018864556636830055, -0.050177315756328555, -0.10477497767432024, 0.09330431360676385, 0.3509484089117172, -0.24705559192162832, -0.3423533600148739, 0.1049276594257751, -0.21226266304174776, -0.05347516781169196, 0.22878128427687108, -0.005007083155839835, 0.06324021524637187, -0.03928371019358278, 0.01370723858075654, -0.05679626522066959, -0.2234937842785312, 0.20897780972276658, 0.05300522447663716, 0.3768695352611526, 0.05350821985138093, 0.11250806577744325, -0.03988416777023633, 0.05386600468382739, 0.00906975075505649, -0.13670823485271158, 0.05582587525245402, 0.20407410189603148, 0.030318927963658066, 0.24748985658731038, -0.4720116825336778, -0.18740630481117124, 0.03763985594315767, 0.11843541260158656, 0.12733337178751325, -0.06249291484368005, -0.22600866932946964, 0.157952113802101, -0.15893671061568612, -0.13006520110888378, -0.032012253587177936, 0.07297102880629792, 0.005408731967385783, -0.3132961953633884, 0.13845259831411977, 0.03332510814320721, 0.0655762543964306, -0.07686687099105513, -0.1304425483283543, -0.00458311832716201, 0.031664288327747946, 0.019399573745193497, 0.1327452470217175, 0.1910492214964134, -0.18074771982848944, -0.1553272009770942, 0.2997532600143162, -0.08184261824953254, -0.10950412865315608, 0.09527361082325646, -0.15023507349405613, -0.07149523720707769, 0.17985344728792474, 0.1021457783512196, 0.1185430165117719, -0.16818957253368633, 0.06768465081922047, 0.020076064954686834, 0.14680994319535742, 0.08033907589746402, 0.020846297607394624, 0.18078345557716372, 0.22575594910620492, 0.16077965484219509, 0.07671413539741626, -0.12301039013264688, -0.059559893622469384, -0.26267540567685793, -0.15399317965911538, -0.19086507131461203, 0.10782306226151651, -0.11331578306242396, -0.08535385345524464, 0.3996120120223687, 0.2010945053896148, 0.15075467853813163, 0.04081367558780932, 0.3546390363996561, 0.19265346323771265, 0.07625831968163534, 0.1103735184109451, 0.21716690685087503, 0.17132097588001982, 0.16496984007449558, -0.2643553574214808, 0.10460823022404173, -0.024795789457545084] |
1,802.02416 | Constraining Gluonic Quartic Gauge Coupling Operators with $gg \to
\gamma \gamma$ | Gluon-gluon to photon-photon scattering $gg \to \gamma\gamma$ offers to the
LHC experiments a uniquely powerful probe of dimension-8 operators in the
Standard Model Effective Field Theory (SMEFT) that are quadratic in both the
electromagnetic and gluonic field-strength tensors, such as would appear in the
Born-Infeld extension of the Standard Model (SM). We use 13-TeV ATLAS data on
the production of isolated photon pairs to set lower limits on the scales of
dimension-8 operators $M \gtrsim 1$~TeV, and discuss the prospective
sensitivities of possible future hadron colliders.
| hep-ph hep-ex | gluongluon to photonphoton scattering gg to gammagamma offers to the lhc experiments a uniquely powerful probe of dimension8 operators in the standard model effective field theory smeft that are quadratic in both the electromagnetic and gluonic fieldstrength tensors such as would appear in the borninfeld extension of the standard model sm we use 13tev atlas data on the production of isolated photon pairs to set lower limits on the scales of dimension8 operators m gtrsim 1tev and discuss the prospective sensitivities of possible future hadron colliders | [['gluongluon', 'to', 'photonphoton', 'scattering', 'gg', 'to', 'gammagamma', 'offers', 'to', 'the', 'lhc', 'experiments', 'a', 'uniquely', 'powerful', 'probe', 'of', 'dimension8', 'operators', 'in', 'the', 'standard', 'model', 'effective', 'field', 'theory', 'smeft', 'that', 'are', 'quadratic', 'in', 'both', 'the', 'electromagnetic', 'and', 'gluonic', 'fieldstrength', 'tensors', 'such', 'as', 'would', 'appear', 'in', 'the', 'borninfeld', 'extension', 'of', 'the', 'standard', 'model', 'sm', 'we', 'use', '13tev', 'atlas', 'data', 'on', 'the', 'production', 'of', 'isolated', 'photon', 'pairs', 'to', 'set', 'lower', 'limits', 'on', 'the', 'scales', 'of', 'dimension8', 'operators', 'm', 'gtrsim', '1tev', 'and', 'discuss', 'the', 'prospective', 'sensitivities', 'of', 'possible', 'future', 'hadron', 'colliders']] | [-0.09396381244648161, 0.21817762529217574, -0.04330445356060599, 0.1797329970353911, -0.11068307170319523, -0.13056428173860146, -0.02128466434890491, 0.3020588322867488, -0.20468999971743934, -0.27263687140048415, 0.00651166855687882, -0.35301866600030035, -0.01693196243844753, 0.19034025426358417, 0.08862127784672084, 0.09115305628497587, 0.02834608807596703, 0.03221938518135874, -0.027497344583321665, -0.253279651025497, 0.28350502996012394, 0.1033559053605639, 0.20175327256668446, 0.14495829140312624, 0.05184011491757363, 0.044953665896427145, -0.05606899123711966, -0.06499002636735175, -0.09650922098968971, 0.11450750850747492, 0.26889934884600863, 0.0964595178077214, 0.10982831201494433, -0.3835740151901751, -0.11758228272827732, 0.15253579456272515, 0.14651323453696488, 0.07042155128113146, -0.008482356840029879, -0.29892756837571777, 0.07984670625016808, -0.22483219086127573, -0.12543515466305233, -0.07608850967940377, -0.015272454893335613, -0.10365555197173773, -0.35229702688060527, 0.0484683091497065, -0.043486645304446306, 0.00901910432257018, 0.006844256157163791, -0.16768644620707734, -0.061085442733561056, -0.007353359879384381, 0.08907211927946138, 0.041218765967980374, 0.21771035899494795, -0.22661561486961015, -0.20598052600182074, 0.37206221809394135, -0.15656628544160792, -0.17413651147250866, 0.2103868159248905, -0.21818516735355695, -0.12711485030605366, 0.09975585253465227, 0.24760861992619412, 0.08863991429639417, -0.1832898596334163, 0.22842481064063302, 0.011646665843896741, 0.1022919897764358, 0.06011756074203308, 0.1268139612416975, 0.2280784173067226, 0.18339728374510658, 0.020353449573523776, 0.043516273215023236, -0.07698734394317969, -0.024352493940251553, -0.45238253527840727, -0.08586705986107158, -0.07063319173717308, 0.0699433064816498, -0.0991382277145952, -0.08824527072503643, 0.34310995224256846, 0.19212862893635796, 0.22662697643648053, 0.02193949336922446, 0.2934930142513368, 0.11297219866892827, 0.12002725053990129, 0.007952751716338965, 0.3364132914345625, 0.15892308976414593, 0.098963986789851, -0.2064860222365729, -0.07274310508550708, 0.06672273328267904] |
1,802.02417 | Parton distributions and $\cos 2\phi_h$ asymmetry induced by anomalous
photon-quark coupling | In the spectator models of the nucleon with scalar and axial-vector diquarks,
we show that the effect of Pauli coupling in photon-quark vertex to the parton
distribution functions (PDFs) of nucleon and azimuthal asymmetry in the
unpolarized semi-inclusive deep inelastic scattering (SIDIS). This anomalous
coupling gives obvious contribution to unpolarized and polarized PDFs, and also
leads to a $\cos 2\phi_h$ azimuthal asymmetry proportional to the squared Pauli
form factor, due to the helicity flip of the struck quark. After determining
the model parameters by fitting PDFs to the global fits, this new distribution
for $\cos 2\phi_h$ asymmetry is given numerically. In the framework of
transverse momentum dependence (TMD), we find that it is positive and of a few
percent in the kinematical regime of HERMES and COMPASS collaborations, in the
same order of magnitude with Cahn effect.
| hep-ph | in the spectator models of the nucleon with scalar and axialvector diquarks we show that the effect of pauli coupling in photonquark vertex to the parton distribution functions pdfs of nucleon and azimuthal asymmetry in the unpolarized semiinclusive deep inelastic scattering sidis this anomalous coupling gives obvious contribution to unpolarized and polarized pdfs and also leads to a cos 2phi_h azimuthal asymmetry proportional to the squared pauli form factor due to the helicity flip of the struck quark after determining the model parameters by fitting pdfs to the global fits this new distribution for cos 2phi_h asymmetry is given numerically in the framework of transverse momentum dependence tmd we find that it is positive and of a few percent in the kinematical regime of hermes and compass collaborations in the same order of magnitude with cahn effect | [['in', 'the', 'spectator', 'models', 'of', 'the', 'nucleon', 'with', 'scalar', 'and', 'axialvector', 'diquarks', 'we', 'show', 'that', 'the', 'effect', 'of', 'pauli', 'coupling', 'in', 'photonquark', 'vertex', 'to', 'the', 'parton', 'distribution', 'functions', 'pdfs', 'of', 'nucleon', 'and', 'azimuthal', 'asymmetry', 'in', 'the', 'unpolarized', 'semiinclusive', 'deep', 'inelastic', 'scattering', 'sidis', 'this', 'anomalous', 'coupling', 'gives', 'obvious', 'contribution', 'to', 'unpolarized', 'and', 'polarized', 'pdfs', 'and', 'also', 'leads', 'to', 'a', 'cos', '2phi_h', 'azimuthal', 'asymmetry', 'proportional', 'to', 'the', 'squared', 'pauli', 'form', 'factor', 'due', 'to', 'the', 'helicity', 'flip', 'of', 'the', 'struck', 'quark', 'after', 'determining', 'the', 'model', 'parameters', 'by', 'fitting', 'pdfs', 'to', 'the', 'global', 'fits', 'this', 'new', 'distribution', 'for', 'cos', '2phi_h', 'asymmetry', 'is', 'given', 'numerically', 'in', 'the', 'framework', 'of', 'transverse', 'momentum', 'dependence', 'tmd', 'we', 'find', 'that', 'it', 'is', 'positive', 'and', 'of', 'a', 'few', 'percent', 'in', 'the', 'kinematical', 'regime', 'of', 'hermes', 'and', 'compass', 'collaborations', 'in', 'the', 'same', 'order', 'of', 'magnitude', 'with', 'cahn', 'effect']] | [-0.08569386197818293, 0.23784697136712551, -0.13469157627627362, 0.15010148255888672, -0.06975691225107787, -0.03312091134916855, 0.004334335124466813, 0.3681108986510195, -0.21198931105271743, -0.24394698119314429, -0.1081501564621096, -0.3294742105080046, -0.022105831737854402, 0.08271192092564039, 0.096491776399967, 0.0724468736358694, 0.02001579693812485, -0.06340149600724995, -0.07457463153345632, -0.21660975363771737, 0.3737985550419149, 0.028363473753973394, 0.25567056270601757, 0.17605767006489592, 0.10786783110595098, 0.09854163158766545, -0.05958102310389063, -0.058639184789337814, -0.11100627151948832, 0.038945473050766614, 0.1870811454684146, 0.03462526610080343, 0.10085775922086553, -0.37136807079923195, -0.08040114304383904, 0.08456906596416214, 0.16497226546278027, 0.10336029891648676, -0.010923690991952036, -0.2546867849033353, -0.010345237152854892, -0.2305798896037749, -0.1720301794647885, -0.1236141650584003, 0.03830571050490558, -0.0067462347665407365, -0.36013845433260105, 0.13306695656714124, 0.004582810407694783, 0.013958456375411828, -0.01755137082841927, -0.23706856550118566, -0.0653281358247419, 0.03869856317887885, 0.1367107288985017, 0.14862070063275223, 0.11309770169416375, -0.22936142095616155, -0.09734231644449416, 0.33944599748500726, -0.06439479766498545, -0.20747772366977738, 0.0172323125489328, -0.30195302538315416, -0.10019854693435622, 0.11501332566169274, 0.2182810881929676, 0.05116429943319437, -0.18694137140129605, 0.07941636943893955, -0.05762261168582596, 0.14219932559959209, 0.08685042632974847, 0.05314404090244432, 0.16927558342062862, 0.1497280306325559, -0.006781917585427091, 0.08410931168545555, -0.15416358277434483, -0.11048278711858565, -0.36465529240939737, -0.062453736100740134, -0.11374137898308843, 0.09597914367166423, -0.10231527876058749, -0.09515545150922802, 0.41508027359700495, 0.1327961466145994, 0.262040996305427, -0.0186968894410253, 0.343226834363474, 0.12856110173105909, 0.1284266393563717, 0.062230089995466226, 0.285540870492802, 0.20039002666161498, 0.1430039087677524, -0.2724154699104328, 0.0854537653240518, 0.013482896716463088] |
1,802.02418 | Target selection for a small low-thrust mission to near-Earth asteroids | The preliminary mission design of spacecraft missions to asteroids often
involves, in the early phases, the selection of candidate target asteroids. The
final result of such an analysis is a list of asteroids, ranked with respect to
the necessary propellant to be used, that the spacecraft could potentially
reach. In this paper we investigate the sensitivity of the produced asteroids
rank to the employed trajectory model in the specific case of a small
low-thrust propelled spacecraft beginning its journey from the Sun-Earth $L_2$
Lagrangian point and heading to a rendezvous with some near-Earth asteroid. We
consider five increasingly complex trajectory models: impulsive, Lambert,
nuclear electric propulsion, nuclear electric propulsion including the Earth's
gravity, solar electric propulsion including the Earth's gravity and we study
the final correlation between the obtained target rankings. We find that the
use of a low-thrust trajectory model is of great importance for target
selection, since the use of chemical propulsion surrogates leads to favouring
less attractive options 19\% of times, a percentage that drops to 8\% already
using a simple nuclear electric propulsion model that neglects the Earth's
gravity effects and thrust dependence on the solar distance. We also find that
for the study case considered, a small interplanetary CubeSat named M-ARGO, the
inclusion of the Earth's gravity in the considered dynamics does not affect the
target selection significantly.
| astro-ph.EP physics.space-ph | the preliminary mission design of spacecraft missions to asteroids often involves in the early phases the selection of candidate target asteroids the final result of such an analysis is a list of asteroids ranked with respect to the necessary propellant to be used that the spacecraft could potentially reach in this paper we investigate the sensitivity of the produced asteroids rank to the employed trajectory model in the specific case of a small lowthrust propelled spacecraft beginning its journey from the sunearth l_2 lagrangian point and heading to a rendezvous with some nearearth asteroid we consider five increasingly complex trajectory models impulsive lambert nuclear electric propulsion nuclear electric propulsion including the earths gravity solar electric propulsion including the earths gravity and we study the final correlation between the obtained target rankings we find that the use of a lowthrust trajectory model is of great importance for target selection since the use of chemical propulsion surrogates leads to favouring less attractive options 19 of times a percentage that drops to 8 already using a simple nuclear electric propulsion model that neglects the earths gravity effects and thrust dependence on the solar distance we also find that for the study case considered a small interplanetary cubesat named margo the inclusion of the earths gravity in the considered dynamics does not affect the target selection significantly | [['the', 'preliminary', 'mission', 'design', 'of', 'spacecraft', 'missions', 'to', 'asteroids', 'often', 'involves', 'in', 'the', 'early', 'phases', 'the', 'selection', 'of', 'candidate', 'target', 'asteroids', 'the', 'final', 'result', 'of', 'such', 'an', 'analysis', 'is', 'a', 'list', 'of', 'asteroids', 'ranked', 'with', 'respect', 'to', 'the', 'necessary', 'propellant', 'to', 'be', 'used', 'that', 'the', 'spacecraft', 'could', 'potentially', 'reach', 'in', 'this', 'paper', 'we', 'investigate', 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1,802.02419 | Algorithmic transformation of multi-loop Feynman integrals to a
canonical basis | The evaluation of multi-loop Feynman integrals is one of the main challenges
in the computation of precise theoretical predictions for the cross sections
measured at the LHC. In recent years, the method of differential equations has
proven to be a powerful tool for the computation of Feynman integrals. It has
been observed that the differential equation of Feynman integrals can in many
instances be transformed into a so-called canonical form, which significantly
simplifies its integration in terms of iterated integrals. The main result of
this thesis is an algorithm to compute rational transformations of differential
equations of Feynman integrals into a canonical form. Apart from requiring the
existence of such a rational transformation, the algorithm needs no further
assumptions about the differential equation. In particular, it is applicable to
problems depending on multiple kinematic variables and also allows for a
rational dependence on the dimensional regulator. First, the transformation law
is expanded in the dimensional regulator to derive differential equations for
the coefficients of the transformation. Using an ansatz in terms of rational
functions, these differential equations are then solved to determine the
transformation. This thesis also presents an implementation of the algorithm in
the Mathematica package CANONICA, which is the first publicly available program
to compute transformations to a canonical form for differential equations
depending on multiple variables. The main functionality and its usage are
illustrated with some simple examples. Furthermore, the package is applied to
state-of-the-art integral topologies appearing in recent multi-loop
calculations. These topologies depend on up to three variables and include
previously unknown topologies contributing to higher-order corrections to the
cross section of single top-quark production at the LHC.
| hep-ph | the evaluation of multiloop feynman integrals is one of the main challenges in the computation of precise theoretical predictions for the cross sections measured at the lhc in recent years the method of differential equations has proven to be a powerful tool for the computation of feynman integrals it has been observed that the differential equation of feynman integrals can in many instances be transformed into a socalled canonical form which significantly simplifies its integration in terms of iterated integrals the main result of this thesis is an algorithm to compute rational transformations of differential equations of feynman integrals into a canonical form apart from requiring the existence of such a rational transformation the algorithm needs no further assumptions about the differential equation in particular it is applicable to problems depending on multiple kinematic variables and also allows for a rational dependence on the dimensional regulator first the transformation law is expanded in the dimensional regulator to derive differential equations for the coefficients of the transformation using an ansatz in terms of rational functions these differential equations are then solved to determine the transformation this thesis also presents an implementation of the algorithm in the mathematica package canonica which is the first publicly available program to compute transformations to a canonical form for differential equations depending on multiple variables the main functionality and its usage are illustrated with some simple examples furthermore the package is applied to stateoftheart integral topologies appearing in recent multiloop calculations these topologies depend on up to three variables and include previously unknown topologies contributing to higherorder corrections to the cross section of single topquark production at the lhc | [['the', 'evaluation', 'of', 'multiloop', 'feynman', 'integrals', 'is', 'one', 'of', 'the', 'main', 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1,802.0242 | A group-theoretical interpretation of the word problem for free
idempotent generated semigroups | The set of idempotents of any semigroup carries the structure of a biordered
set, which contains a great deal of information concerning the idempotent
generated subsemigroup of the semigroup in question. This leads to the
construction of a free idempotent generated semigroup
$\mathsf{IG}(\mathcal{E})$ - the `free-est' semigroup with a given biordered
set $\mathcal{E}$ of idempotents. We show that when $\mathcal{E}$ is finite,
the word problem for $\mathsf{IG}(\mathcal{E})$ is equivalent to a family of
constraint satisfaction problems involving rational subsets of direct products
of pairs of maximal subgroups of $\mathsf{IG}(\mathcal{E})$. As an application,
we obtain decidability of the word problem for an important class of examples.
Also, we prove that for finite $\mathcal{E}$, $\mathsf{IG}(\mathcal{E})$ is
always a weakly abundant semigroup satisfying the congruence condition.
| math.GR | the set of idempotents of any semigroup carries the structure of a biordered set which contains a great deal of information concerning the idempotent generated subsemigroup of the semigroup in question this leads to the construction of a free idempotent generated semigroup mathsfigmathcale the freeest semigroup with a given biordered set mathcale of idempotents we show that when mathcale is finite the word problem for mathsfigmathcale is equivalent to a family of constraint satisfaction problems involving rational subsets of direct products of pairs of maximal subgroups of mathsfigmathcale as an application we obtain decidability of the word problem for an important class of examples also we prove that for finite mathcale mathsfigmathcale is always a weakly abundant semigroup satisfying the congruence condition | [['the', 'set', 'of', 'idempotents', 'of', 'any', 'semigroup', 'carries', 'the', 'structure', 'of', 'a', 'biordered', 'set', 'which', 'contains', 'a', 'great', 'deal', 'of', 'information', 'concerning', 'the', 'idempotent', 'generated', 'subsemigroup', 'of', 'the', 'semigroup', 'in', 'question', 'this', 'leads', 'to', 'the', 'construction', 'of', 'a', 'free', 'idempotent', 'generated', 'semigroup', 'mathsfigmathcale', 'the', 'freeest', 'semigroup', 'with', 'a', 'given', 'biordered', 'set', 'mathcale', 'of', 'idempotents', 'we', 'show', 'that', 'when', 'mathcale', 'is', 'finite', 'the', 'word', 'problem', 'for', 'mathsfigmathcale', 'is', 'equivalent', 'to', 'a', 'family', 'of', 'constraint', 'satisfaction', 'problems', 'involving', 'rational', 'subsets', 'of', 'direct', 'products', 'of', 'pairs', 'of', 'maximal', 'subgroups', 'of', 'mathsfigmathcale', 'as', 'an', 'application', 'we', 'obtain', 'decidability', 'of', 'the', 'word', 'problem', 'for', 'an', 'important', 'class', 'of', 'examples', 'also', 'we', 'prove', 'that', 'for', 'finite', 'mathcale', 'mathsfigmathcale', 'is', 'always', 'a', 'weakly', 'abundant', 'semigroup', 'satisfying', 'the', 'congruence', 'condition']] | [-0.15425294268229775, 0.08176778742927127, -0.026682041589293843, 0.08342693362977695, -0.11097846541953973, -0.07669623974279678, 0.028722159138280315, 0.32808232221229017, -0.41509639122330944, -0.15923704298921237, 0.10848835965402978, -0.33651657297837834, -0.051584464120717086, 0.2426743356949719, -0.1183849556279207, 0.03153671851489416, 0.1274927634253236, 0.17022435515657192, -0.0740804531234355, -0.2418301714765108, 0.4217161990024827, -0.02639264083459727, 0.2076192082267655, 0.06085617637477261, 0.1647597893087332, -0.012962771044690008, -0.026601875297078664, 0.008519988106794593, -0.13896302152331244, 0.1341432521489164, 0.3149744314872775, 0.19270586837198556, 0.30436836689718316, -0.35272853041052327, -0.11887394508115047, 0.24672341157397457, 0.09204065511080105, 0.005631890674198647, -0.05897693011778876, -0.2617921676517518, 0.17075624532732067, -0.21943153254687786, -0.09982311179907608, -0.0594940183545686, 0.1054646973921494, 0.008564608725757638, -0.3478478880600103, -0.01192826134453851, 0.17843238406714576, 0.11224992875363832, -0.06362721346287935, -0.058465087778619994, -0.04159770659863764, 0.06715048784087027, -0.006725852629785572, 9.025873862637961e-05, 0.06439271359896857, -0.09088192111596056, -0.12680366254326972, 0.4013446502417349, -0.016182228770830538, -0.2361600275136038, 0.10629976483077304, -0.13628481052391864, -0.1451242187114294, 0.13448792888421165, 0.05312695713667584, 0.14768587658951474, -0.07165274882897416, 0.20859377039211593, -0.22863975418962476, 0.12866836627521974, 0.06956239894401929, 0.04462273049837917, 0.11860009854128353, 0.13703873288848492, 0.14175664075103797, 0.21083889101162429, 0.09465305414435661, 0.015168882837164993, -0.3641443041745912, -0.16297783401110671, -0.1302733575340268, 0.11466536260679487, -0.07097538587255288, -0.2651839845906173, 0.40410993802399675, 0.11938121013414531, 0.129625030412254, 0.10269525745779676, 0.1714743817944757, 0.1017476214746096, 0.01055521234746807, 0.05252203095534986, 0.02779850734143772, 0.1992828857407651, -0.09044359217990529, -0.17639554463219176, 0.02649075753047816, 0.20541188164329358] |
1,802.02421 | Size and host-medium effects on topologically protected surface states
in bi-anisotropic 3D optical waveguides | We study the optical properties of bi-anisotropic optical waveguides with
nontrivial topological structure in wavevector space, placed in an ordinary
dielectric matrix. We derive an exact analytical description of the eigenmodes
of the systems with arbitrary parameters that allows us to investigate
topologically protected surface states (TPSS) in details. In particular, we
find that the TPSS on the waveguides would disappear (1) if their radius is
smaller than a critical radius due to the dimensional quantization of azimuthal
wavenumber, and also (2) if the permittivity of the host-medium exceeds a
critical value. Interestingly, we also find that the TPSS in the waveguides
have negative refraction for some geometries. We have found a TPSS phase
diagram that will pave the way for development of the topological waveguides
for optical interconnects and devices.
| physics.optics | we study the optical properties of bianisotropic optical waveguides with nontrivial topological structure in wavevector space placed in an ordinary dielectric matrix we derive an exact analytical description of the eigenmodes of the systems with arbitrary parameters that allows us to investigate topologically protected surface states tpss in details in particular we find that the tpss on the waveguides would disappear 1 if their radius is smaller than a critical radius due to the dimensional quantization of azimuthal wavenumber and also 2 if the permittivity of the hostmedium exceeds a critical value interestingly we also find that the tpss in the waveguides have negative refraction for some geometries we have found a tpss phase diagram that will pave the way for development of the topological waveguides for optical interconnects and devices | [['we', 'study', 'the', 'optical', 'properties', 'of', 'bianisotropic', 'optical', 'waveguides', 'with', 'nontrivial', 'topological', 'structure', 'in', 'wavevector', 'space', 'placed', 'in', 'an', 'ordinary', 'dielectric', 'matrix', 'we', 'derive', 'an', 'exact', 'analytical', 'description', 'of', 'the', 'eigenmodes', 'of', 'the', 'systems', 'with', 'arbitrary', 'parameters', 'that', 'allows', 'us', 'to', 'investigate', 'topologically', 'protected', 'surface', 'states', 'tpss', 'in', 'details', 'in', 'particular', 'we', 'find', 'that', 'the', 'tpss', 'on', 'the', 'waveguides', 'would', 'disappear', '1', 'if', 'their', 'radius', 'is', 'smaller', 'than', 'a', 'critical', 'radius', 'due', 'to', 'the', 'dimensional', 'quantization', 'of', 'azimuthal', 'wavenumber', 'and', 'also', '2', 'if', 'the', 'permittivity', 'of', 'the', 'hostmedium', 'exceeds', 'a', 'critical', 'value', 'interestingly', 'we', 'also', 'find', 'that', 'the', 'tpss', 'in', 'the', 'waveguides', 'have', 'negative', 'refraction', 'for', 'some', 'geometries', 'we', 'have', 'found', 'a', 'tpss', 'phase', 'diagram', 'that', 'will', 'pave', 'the', 'way', 'for', 'development', 'of', 'the', 'topological', 'waveguides', 'for', 'optical', 'interconnects', 'and', 'devices']] | [-0.1865337998033143, 0.16624902754936977, -0.08278372960451703, 0.0143403601161061, -0.06357825696468353, -0.13199530773787185, 0.02337420561995644, 0.43495252556525743, -0.18754160524381755, -0.24412031210958957, 0.051835974799290016, -0.2968019864111109, -0.17954472572399446, 0.21257264718879015, 0.004963231301651551, 0.05336673118603917, -0.008545517051019347, -0.00993614077496414, -0.12222349521202537, -0.17497753406910654, 0.3049114636217172, 0.01819089507827392, 0.29759173593125665, 0.08839224242748549, 0.017871034417587976, 0.004807348742794532, 0.07236049693400183, 0.029688445030702636, -0.19648765643494417, 0.09952798682005289, 0.24520230773263252, -0.022786093779051532, 0.20882849095069106, -0.4482760573665683, -0.19683693239841468, 0.06854981939809826, 0.1590260381058145, 0.13462066787939805, -0.04880249032911916, -0.24596670270324328, 0.07682266524419762, -0.13508703634680178, -0.18812926004522104, -0.09931589017729633, 0.032404014310584615, -0.008508646380988256, -0.2122179608760724, 0.05001149886028053, 0.02262735916301608, 0.01754577551395274, -0.091678538873832, -0.09895974975258398, -0.06719498407955353, 0.08431143166783911, -0.021494826590284132, -0.02958386741184558, 0.10071099546308128, -0.14366110588245926, -0.07830695245558253, 0.3758987982470829, -0.04627550000631555, -0.18291973468775932, 0.13662577918014274, -0.18110591783546484, -0.057996069353360394, 0.1158922653322896, 0.18048516733285327, 0.07517163017406486, -0.06357483880352587, 0.07397943294804113, -0.02129756050148549, 0.21909148347778962, 0.08326196778708926, 0.11959659938628857, 0.2210216652816878, 0.11923959740939048, 0.09824073288876277, 0.15672377769190532, -0.083131632153303, -0.023193898536891747, -0.281150509413475, -0.1925313035124698, -0.17423135061533404, 0.034645297586058194, -0.12988549359120394, -0.22511463702987664, 0.4010134604723694, 0.17672899715521803, 0.1707834275260281, 0.0074635025758582815, 0.2649591616175782, 0.1458943255747167, 0.09638300316515737, 0.09110345263929608, 0.3045136863269503, 0.1630939120856615, 0.08616794131946964, -0.2286578863321875, 0.00457194595812605, 0.03734996373800991] |
1,802.02422 | Revisiting the Inverted Indices for Billion-Scale Approximate Nearest
Neighbors | This work addresses the problem of billion-scale nearest neighbor search. The
state-of-the-art retrieval systems for billion-scale databases are currently
based on the inverted multi-index, the recently proposed generalization of the
inverted index structure. The multi-index provides a very fine-grained
partition of the feature space that allows extracting concise and accurate
short-lists of candidates for the search queries. In this paper, we argue that
the potential of the simple inverted index was not fully exploited in previous
works and advocate its usage both for the highly-entangled deep descriptors and
relatively disentangled SIFT descriptors. We introduce a new retrieval system
that is based on the inverted index and outperforms the multi-index by a large
margin for the same memory consumption and construction complexity. For
example, our system achieves the state-of-the-art recall rates several times
faster on the dataset of one billion deep descriptors compared to the efficient
implementation of the inverted multi-index from the FAISS library.
| cs.CV | this work addresses the problem of billionscale nearest neighbor search the stateoftheart retrieval systems for billionscale databases are currently based on the inverted multiindex the recently proposed generalization of the inverted index structure the multiindex provides a very finegrained partition of the feature space that allows extracting concise and accurate shortlists of candidates for the search queries in this paper we argue that the potential of the simple inverted index was not fully exploited in previous works and advocate its usage both for the highlyentangled deep descriptors and relatively disentangled sift descriptors we introduce a new retrieval system that is based on the inverted index and outperforms the multiindex by a large margin for the same memory consumption and construction complexity for example our system achieves the stateoftheart recall rates several times faster on the dataset of one billion deep descriptors compared to the efficient implementation of the inverted multiindex from the faiss library | [['this', 'work', 'addresses', 'the', 'problem', 'of', 'billionscale', 'nearest', 'neighbor', 'search', 'the', 'stateoftheart', 'retrieval', 'systems', 'for', 'billionscale', 'databases', 'are', 'currently', 'based', 'on', 'the', 'inverted', 'multiindex', 'the', 'recently', 'proposed', 'generalization', 'of', 'the', 'inverted', 'index', 'structure', 'the', 'multiindex', 'provides', 'a', 'very', 'finegrained', 'partition', 'of', 'the', 'feature', 'space', 'that', 'allows', 'extracting', 'concise', 'and', 'accurate', 'shortlists', 'of', 'candidates', 'for', 'the', 'search', 'queries', 'in', 'this', 'paper', 'we', 'argue', 'that', 'the', 'potential', 'of', 'the', 'simple', 'inverted', 'index', 'was', 'not', 'fully', 'exploited', 'in', 'previous', 'works', 'and', 'advocate', 'its', 'usage', 'both', 'for', 'the', 'highlyentangled', 'deep', 'descriptors', 'and', 'relatively', 'disentangled', 'sift', 'descriptors', 'we', 'introduce', 'a', 'new', 'retrieval', 'system', 'that', 'is', 'based', 'on', 'the', 'inverted', 'index', 'and', 'outperforms', 'the', 'multiindex', 'by', 'a', 'large', 'margin', 'for', 'the', 'same', 'memory', 'consumption', 'and', 'construction', 'complexity', 'for', 'example', 'our', 'system', 'achieves', 'the', 'stateoftheart', 'recall', 'rates', 'several', 'times', 'faster', 'on', 'the', 'dataset', 'of', 'one', 'billion', 'deep', 'descriptors', 'compared', 'to', 'the', 'efficient', 'implementation', 'of', 'the', 'inverted', 'multiindex', 'from', 'the', 'faiss', 'library']] | [-0.0817143975079737, -0.007821689471723391, -0.06805793473545413, 0.09113428685678072, -0.07773627337316269, -0.15337519329525046, 0.06643050912746483, 0.39935082262502863, -0.24459162896632083, -0.3227002631945463, 0.10208807164627769, -0.2811160427231875, -0.1492476158763294, 0.22331975788398126, -0.07139735234078842, 0.06539474272240231, 0.0947274035417366, 0.049773508413731085, -0.11477370229670657, -0.2631062495419393, 0.28677288091336317, 0.09030200614610553, 0.3309749062671991, -0.0032962393378476043, 0.11309306372513438, -0.009930958233580187, -0.06737938481791235, -0.02002321629707139, -0.06517482006860188, 0.22182256212327991, 0.23780093867597835, 0.17198465036095253, 0.2345252569247787, -0.3440649076304459, -0.1833135311054474, 0.07841613297894984, 0.14709183037758794, 0.08514653905687926, -0.09692260797865773, -0.2969312034411259, 0.09602494837788793, -0.1878763507725066, -0.02253146861625424, -0.14447977228238332, 0.01991861280319946, -0.020051319865727578, -0.277962345649963, 0.05128137978752349, 0.07043135993472942, 0.026398438102034277, -0.03872499529948131, -0.15064314068385776, 0.04618135038702809, 0.1272800909687898, -0.03447639739425103, 0.03406704659573734, 0.08614252812483093, -0.1481065681096856, -0.15489210198820846, 0.3970336556229015, -0.08754930740476331, -0.17106257135641167, 0.1825560533053048, -0.04054853857144133, -0.1526896206529013, 0.10173759461447064, 0.19249433142514052, 0.1542388725929059, -0.1308904934811327, 0.08089021643337962, -0.06545022566645563, 0.1968627438559983, 0.03793898588590711, 0.01877524607282664, 0.16633660348688628, 0.26770637041659323, 0.06534264146882508, 0.14416303878117884, -0.1390293572671022, -0.09158831775224731, -0.17618312983314036, -0.1591992798457323, -0.20300507883378002, -0.05348932061655456, -0.13041069072793318, -0.16128926258534193, 0.4499008452562107, 0.20827653331911894, 0.1963134890289179, 0.1091533848129866, 0.33651938582105295, 0.04381978561173423, 0.1175894508888195, 0.1031575214553189, 0.18888087961338945, -0.005820582250387154, 0.13955644547807766, -0.18748936894903104, 0.07066772656829713, 0.09608948732387614] |
1,802.02423 | On the Generalizability of Linear and Non-Linear Region of
Interest-Based Multivariate Regression Models for fMRI Data | In contrast to conventional, univariate analysis, various types of
multivariate analysis have been applied to functional magnetic resonance
imaging (fMRI) data. In this paper, we compare two contemporary approaches for
multivariate regression on task-based fMRI data: linear regression with ridge
regularization and non-linear symbolic regression using genetic programming.
The data for this project is representative of a contemporary fMRI experimental
design for visual stimuli. Linear and non-linear models were generated for 10
subjects, with another 4 withheld for validation. Model quality is evaluated by
comparing $R$ scores (Pearson product-moment correlation) in various contexts,
including single run self-fit, within-subject generalization, and
between-subject generalization. Propensity for modelling strategies to overfit
is estimated using a separate resting state scan. Results suggest that neither
method is objectively or inherently better than the other.
| stat.AP cs.CV | in contrast to conventional univariate analysis various types of multivariate analysis have been applied to functional magnetic resonance imaging fmri data in this paper we compare two contemporary approaches for multivariate regression on taskbased fmri data linear regression with ridge regularization and nonlinear symbolic regression using genetic programming the data for this project is representative of a contemporary fmri experimental design for visual stimuli linear and nonlinear models were generated for 10 subjects with another 4 withheld for validation model quality is evaluated by comparing r scores pearson productmoment correlation in various contexts including single run selffit withinsubject generalization and betweensubject generalization propensity for modelling strategies to overfit is estimated using a separate resting state scan results suggest that neither method is objectively or inherently better than the other | [['in', 'contrast', 'to', 'conventional', 'univariate', 'analysis', 'various', 'types', 'of', 'multivariate', 'analysis', 'have', 'been', 'applied', 'to', 'functional', 'magnetic', 'resonance', 'imaging', 'fmri', 'data', 'in', 'this', 'paper', 'we', 'compare', 'two', 'contemporary', 'approaches', 'for', 'multivariate', 'regression', 'on', 'taskbased', 'fmri', 'data', 'linear', 'regression', 'with', 'ridge', 'regularization', 'and', 'nonlinear', 'symbolic', 'regression', 'using', 'genetic', 'programming', 'the', 'data', 'for', 'this', 'project', 'is', 'representative', 'of', 'a', 'contemporary', 'fmri', 'experimental', 'design', 'for', 'visual', 'stimuli', 'linear', 'and', 'nonlinear', 'models', 'were', 'generated', 'for', '10', 'subjects', 'with', 'another', '4', 'withheld', 'for', 'validation', 'model', 'quality', 'is', 'evaluated', 'by', 'comparing', 'r', 'scores', 'pearson', 'productmoment', 'correlation', 'in', 'various', 'contexts', 'including', 'single', 'run', 'selffit', 'withinsubject', 'generalization', 'and', 'betweensubject', 'generalization', 'propensity', 'for', 'modelling', 'strategies', 'to', 'overfit', 'is', 'estimated', 'using', 'a', 'separate', 'resting', 'state', 'scan', 'results', 'suggest', 'that', 'neither', 'method', 'is', 'objectively', 'or', 'inherently', 'better', 'than', 'the', 'other']] | [0.021134635207999963, -0.018629172085638857, -0.09293360918672988, 0.12735799580877938, -0.11822924317675643, -0.21426640818208398, -0.019762254219131137, 0.4255826434964547, -0.24107419634674443, -0.3073478341611917, 0.1157965111096928, -0.30566156179338577, -0.17569858656543147, 0.2220152117206453, -0.06494568415655522, 0.12475414873733826, 0.10698262336518383, 0.01038780157250585, -0.053799351013367414, -0.26814286815806554, 0.2669784527752199, 0.037880917832808336, 0.3371717602994977, -0.06688709605077747, 0.07696141001451906, 0.02311180746255559, -0.08197615048629814, 0.02975999944465002, -0.06693207855488481, 0.14519451125079286, 0.350048900805092, 0.1909390979071759, 0.3534076972173352, -0.41095101740938844, -0.2443394461151911, 0.07662443107255967, 0.1015518077492743, 0.06113933456072118, -0.003431894515415479, -0.29026253759730025, 0.07851508619432934, -0.13299333705430172, 0.012219936794281239, -0.15190278551744996, -0.01645999646279961, -0.018858427612030937, -0.3525333298530313, 0.13996328471330344, -0.001093083776140702, 0.1992211282788503, -0.0828012536658207, -0.1893646187381819, 0.04273829392150219, 0.07692292062438355, 0.04722604304606648, 0.0536951410540496, 0.13526970790917403, -0.11061055756727001, -0.18792760845053635, 0.2910160552637535, -0.049715389052494174, -0.23776756654888231, 0.21990493615885498, -0.09420628325460711, -0.16400546257864335, 0.06985557690313726, 0.22528555796452565, 0.06267673545517027, -0.18031186203188554, 0.006809354229062592, -0.00818584153375923, 0.20348106155870482, 0.05630323503828549, -0.07763490344586899, 0.12246945241963658, 0.22559592487232294, -0.023192904150164395, 0.13196459532491644, -0.15086992295255186, -0.08223352749701007, -0.20696617659996264, -0.10119080852928164, -0.1763540210449719, -0.05629003149493883, -0.1162578501094913, -0.15603694220772013, 0.4097462274621648, 0.1797311611553596, 0.16190980793908238, 0.08643601095354825, 0.31332164847117383, 0.06901199939056823, 0.08720340721311004, 0.013132964944816194, 0.17342883997662284, 0.08937146104653948, 0.09506611647157115, -0.19115337211587757, 0.11662671852354833, -0.0192777037009364] |
1,802.02424 | Interview validation of the Physics Lab Inventory of Critical thinking
(PLIC) | Although an important goal of introductory physics labs is to train students
in scientific reasoning and critical thinking, currently there are no standard
tests in physics designed to assess such skills. We are in the process of
developing and validating the Physics Lab Inventory of Critical thinking
(PLIC), an assessment to probe students' critical thinking abilities in physics
lab courses. The instrument asks students to critique a set of experimental
methods and data and use them to evaluate a particular physical model (the
period of a mass on a spring). Currently, we are validating the closed-response
survey through interviews with students and present the results of 12 such
interviews here. We describe a trend that has emerged from these interviews,
with students' reasoning falling into three main patterns of behavior:
selecting all options, cuing on keywords, and critically analyzing. We have
found ways to shift students to the last and more desirable behavior. We
discuss ways in which these findings are likely relevant to the design of other
concept inventories.
| physics.ed-ph | although an important goal of introductory physics labs is to train students in scientific reasoning and critical thinking currently there are no standard tests in physics designed to assess such skills we are in the process of developing and validating the physics lab inventory of critical thinking plic an assessment to probe students critical thinking abilities in physics lab courses the instrument asks students to critique a set of experimental methods and data and use them to evaluate a particular physical model the period of a mass on a spring currently we are validating the closedresponse survey through interviews with students and present the results of 12 such interviews here we describe a trend that has emerged from these interviews with students reasoning falling into three main patterns of behavior selecting all options cuing on keywords and critically analyzing we have found ways to shift students to the last and more desirable behavior we discuss ways in which these findings are likely relevant to the design of other concept inventories | [['although', 'an', 'important', 'goal', 'of', 'introductory', 'physics', 'labs', 'is', 'to', 'train', 'students', 'in', 'scientific', 'reasoning', 'and', 'critical', 'thinking', 'currently', 'there', 'are', 'no', 'standard', 'tests', 'in', 'physics', 'designed', 'to', 'assess', 'such', 'skills', 'we', 'are', 'in', 'the', 'process', 'of', 'developing', 'and', 'validating', 'the', 'physics', 'lab', 'inventory', 'of', 'critical', 'thinking', 'plic', 'an', 'assessment', 'to', 'probe', 'students', 'critical', 'thinking', 'abilities', 'in', 'physics', 'lab', 'courses', 'the', 'instrument', 'asks', 'students', 'to', 'critique', 'a', 'set', 'of', 'experimental', 'methods', 'and', 'data', 'and', 'use', 'them', 'to', 'evaluate', 'a', 'particular', 'physical', 'model', 'the', 'period', 'of', 'a', 'mass', 'on', 'a', 'spring', 'currently', 'we', 'are', 'validating', 'the', 'closedresponse', 'survey', 'through', 'interviews', 'with', 'students', 'and', 'present', 'the', 'results', 'of', '12', 'such', 'interviews', 'here', 'we', 'describe', 'a', 'trend', 'that', 'has', 'emerged', 'from', 'these', 'interviews', 'with', 'students', 'reasoning', 'falling', 'into', 'three', 'main', 'patterns', 'of', 'behavior', 'selecting', 'all', 'options', 'cuing', 'on', 'keywords', 'and', 'critically', 'analyzing', 'we', 'have', 'found', 'ways', 'to', 'shift', 'students', 'to', 'the', 'last', 'and', 'more', 'desirable', 'behavior', 'we', 'discuss', 'ways', 'in', 'which', 'these', 'findings', 'are', 'likely', 'relevant', 'to', 'the', 'design', 'of', 'other', 'concept', 'inventories']] | [-0.014320893249879148, 0.11031898718560808, -0.12117856238702578, 0.09565939178239768, -0.1591848571025323, -0.14757054730130004, 0.0672431095029294, 0.4131292390326659, -0.1953388417937926, -0.3967731564438769, 0.07635320722710319, -0.3259509567980699, -0.1592266091334057, 0.2292456387007232, -0.08444130802915122, 0.05887274441331448, 0.048080714813078795, 0.01491842322799303, -0.030431115069188223, -0.27962892388348426, 0.3063025161973201, 0.08577113181291636, 0.2693527689746891, 0.03690149265215344, 0.06554043487371278, -0.03357767391051831, -0.07769824456166437, -0.0048675283178454265, -0.13575624955224375, 0.13437161432479375, 0.38033320612296284, 0.21781176436395203, 0.39923751460654394, -0.4244106008028168, -0.1185536840986017, 0.02542620168995719, 0.0854855275434342, 0.07922336333251137, -0.06815421312724841, -0.30138499054148615, 0.022735623170904416, -0.1428655856122662, -0.1215490838207881, -0.08317035591642793, 0.00887097530496595, -0.006399328138199746, -0.19159736281393894, -0.028478720366755233, 0.028243541140996274, 0.16038746513160212, -0.053367498761785793, -0.17448743100145034, 0.06505641316956219, 0.2011776611311472, 0.07202457546078395, -0.01634911145637965, 0.1645795918995559, -0.18682288333673655, -0.16984731086995453, 0.41250222613148035, 0.02766059803148632, -0.130701701090272, 0.23577688203589614, -0.15534205609167526, -0.13811245160676272, 0.02425488835502793, 0.22449989777634896, 0.0496266994852617, -0.18388234000719553, -0.004246536118097581, 0.0010432684516888998, 0.1807963224474363, 0.016242121088518097, -0.04643256721222618, 0.2528079170844562, 0.20730997843202204, -0.019788681182641692, 0.06816143476940592, -0.029990435016814098, -0.11562635242063109, -0.28943491420276196, -0.1927458688622296, -0.086713822507937, 0.02322487121619772, 0.013581501307444774, -0.11483915351952116, 0.4015135716347556, 0.2387256707242202, 0.10731206960848622, 0.006207184319334503, 0.2576022999017455, 0.05056756358655028, 0.059113595897759386, 0.04640028877128359, 0.22730069182857515, 0.054449691714364146, 0.14901783730601892, -0.13060734495437437, 0.07124196571108075, -0.029710304021136835] |
1,802.02425 | Impact of Land Use on the DOM Composition in Different Seasons in a
Subtropical River Flowing through the Region Undergoing Rapid Urbanization | The dissolved organic matter (DOM) composition in river ecosystems could
reflect the human impacts on the river ecosystem, and plays an important role
in the carbon cycling process. We collected water and phytoplankton samples at
107 sites in the Dongjiang River in two seasons to assess the impact of the
sub-catchments land use structure on the DOM composition. The results showed
that (1) the forested sub-catchments had higher humic-like C1 (16.45%) and C2
(25.04%) and lower protein-like C3 (22.57%) and C4 (35.95%) than urbanized and
mixed forest-agriculture sub-catchments, while the urbanized sub-catchments
showed an inverse trend (4.54%, 15.51%, 33.97% and 45.98%, respectively). (2)
The significant variation in the proportion of C1 and C4 between the dry and
rainy seasons was recorded in both the forested and the mixed
forest-agriculture sub-catchments (p<0.01), but only C4 showed an obvious
seasonal variation in the urbanized sub-catchments (p<0.01). While the DOM
composition was mainly related to the proportion of urbanized land and forested
land year-round (p<0.01), it had stronger correlation with forested land in the
dry season and urbanized land in the rainy season. (3) No significant
correlation between the DOM composition and the agricultural land proportion
was found in either season (p>0.05). Our findings indicated that the DOM
composition was strongly dependent on the land use structure of the
sub-catchments and varied seasonally, but the seasonal variation pattern could
be disturbed by human activities in the extensively urbanized catchments.
Notably, the higher C4 proportion compared with those in temperate rivers
implied a larger amount of CO2 released from the subtropical rivers into the
atmosphere when considering bioavailability.
| q-bio.PE | the dissolved organic matter dom composition in river ecosystems could reflect the human impacts on the river ecosystem and plays an important role in the carbon cycling process we collected water and phytoplankton samples at 107 sites in the dongjiang river in two seasons to assess the impact of the subcatchments land use structure on the dom composition the results showed that 1 the forested subcatchments had higher humiclike c1 1645 and c2 2504 and lower proteinlike c3 2257 and c4 3595 than urbanized and mixed forestagriculture subcatchments while the urbanized subcatchments showed an inverse trend 454 1551 3397 and 4598 respectively 2 the significant variation in the proportion of c1 and c4 between the dry and rainy seasons was recorded in both the forested and the mixed forestagriculture subcatchments p001 but only c4 showed an obvious seasonal variation in the urbanized subcatchments p001 while the dom composition was mainly related to the proportion of urbanized land and forested land yearround p001 it had stronger correlation with forested land in the dry season and urbanized land in the rainy season 3 no significant correlation between the dom composition and the agricultural land proportion was found in either season p005 our findings indicated that the dom composition was strongly dependent on the land use structure of the subcatchments and varied seasonally but the seasonal variation pattern could be disturbed by human activities in the extensively urbanized catchments notably the higher c4 proportion compared with those in temperate rivers implied a larger amount of co2 released from the subtropical rivers into the atmosphere when considering bioavailability | [['the', 'dissolved', 'organic', 'matter', 'dom', 'composition', 'in', 'river', 'ecosystems', 'could', 'reflect', 'the', 'human', 'impacts', 'on', 'the', 'river', 'ecosystem', 'and', 'plays', 'an', 'important', 'role', 'in', 'the', 'carbon', 'cycling', 'process', 'we', 'collected', 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1,802.02426 | The linearization problem of a binary quadratic problem and its
applications | We provide several applications of the linearization problem of a binary
quadratic problem. We propose a new lower bounding strategy, called the
linearization-based scheme, that is based on a simple certificate for a
quadratic function to be non-negative on the feasible set. Each
linearization-based bound requires a set of linearizable matrices as an input.
We prove that the Generalized Gilmore-Lawler bounding scheme for binary
quadratic problems provides linearization-based bounds. Moreover, we show that
the bound obtained from the first level reformulation linearization technique
is also a type of linearization-based bound, which enables us to provide a
comparison among mentioned bounds. However, the strongest linearization-based
bound is the one that uses the full characterization of the set of linearizable
matrices. Finally, we present a polynomial-time algorithm for the linearization
problem of the quadratic shortest path problem on directed acyclic graphs. Our
algorithm gives a complete characterization of the set of linearizable matrices
for the quadratic shortest path problem.
| math.OC | we provide several applications of the linearization problem of a binary quadratic problem we propose a new lower bounding strategy called the linearizationbased scheme that is based on a simple certificate for a quadratic function to be nonnegative on the feasible set each linearizationbased bound requires a set of linearizable matrices as an input we prove that the generalized gilmorelawler bounding scheme for binary quadratic problems provides linearizationbased bounds moreover we show that the bound obtained from the first level reformulation linearization technique is also a type of linearizationbased bound which enables us to provide a comparison among mentioned bounds however the strongest linearizationbased bound is the one that uses the full characterization of the set of linearizable matrices finally we present a polynomialtime algorithm for the linearization problem of the quadratic shortest path problem on directed acyclic graphs our algorithm gives a complete characterization of the set of linearizable matrices for the quadratic shortest path problem | [['we', 'provide', 'several', 'applications', 'of', 'the', 'linearization', 'problem', 'of', 'a', 'binary', 'quadratic', 'problem', 'we', 'propose', 'a', 'new', 'lower', 'bounding', 'strategy', 'called', 'the', 'linearizationbased', 'scheme', 'that', 'is', 'based', 'on', 'a', 'simple', 'certificate', 'for', 'a', 'quadratic', 'function', 'to', 'be', 'nonnegative', 'on', 'the', 'feasible', 'set', 'each', 'linearizationbased', 'bound', 'requires', 'a', 'set', 'of', 'linearizable', 'matrices', 'as', 'an', 'input', 'we', 'prove', 'that', 'the', 'generalized', 'gilmorelawler', 'bounding', 'scheme', 'for', 'binary', 'quadratic', 'problems', 'provides', 'linearizationbased', 'bounds', 'moreover', 'we', 'show', 'that', 'the', 'bound', 'obtained', 'from', 'the', 'first', 'level', 'reformulation', 'linearization', 'technique', 'is', 'also', 'a', 'type', 'of', 'linearizationbased', 'bound', 'which', 'enables', 'us', 'to', 'provide', 'a', 'comparison', 'among', 'mentioned', 'bounds', 'however', 'the', 'strongest', 'linearizationbased', 'bound', 'is', 'the', 'one', 'that', 'uses', 'the', 'full', 'characterization', 'of', 'the', 'set', 'of', 'linearizable', 'matrices', 'finally', 'we', 'present', 'a', 'polynomialtime', 'algorithm', 'for', 'the', 'linearization', 'problem', 'of', 'the', 'quadratic', 'shortest', 'path', 'problem', 'on', 'directed', 'acyclic', 'graphs', 'our', 'algorithm', 'gives', 'a', 'complete', 'characterization', 'of', 'the', 'set', 'of', 'linearizable', 'matrices', 'for', 'the', 'quadratic', 'shortest', 'path', 'problem']] | [-0.1621555376571054, 0.0008254950987928822, -0.07518550080474085, 0.07064592309866267, -0.16034363420345846, -0.17070625921508345, 0.11962651587180936, 0.31694078520656777, -0.3029287642596337, -0.2817422525019934, 0.10260524732980113, -0.23373123340141505, -0.21442207437939942, 0.26317289819976747, -0.06937902456728551, 0.09829549147532536, 0.10638414877944459, 0.06893880382659308, -0.08799634121197204, -0.2851770105413519, 0.326159221227639, -0.0049728137681272645, 0.2020927691915765, 0.08055247221879351, 0.17629175169023278, 0.03394868071616376, 0.0169331021189021, 0.012966037396556484, -0.14667016985913506, 0.16374677691223602, 0.22711015646107113, 0.20597760550206146, 0.2837929405176487, -0.3769026431493843, -0.1284365875941988, 0.155628327286253, 0.10493269925101255, 0.1368172598087814, -0.046651739914429925, -0.21215143327702743, 0.1376822276909549, -0.12298935299548201, -0.09049349887153277, -0.035187036730349064, -0.01442893298390584, -0.02371882751228837, -0.33167217530978793, 0.016056791461522106, 0.11341231256030881, -0.0003165218632859297, -0.08204481825053406, -0.13217901890255654, 0.06170172138491836, 0.06636441668543296, -0.0677777975006626, 0.013493609466352679, 0.03079525071184318, -0.04535315920395824, -0.15743712631191534, 0.35867135577763504, -0.04580162817989894, -0.2240918822502956, 0.12654274749384525, -0.027134348501045354, -0.16551413570638174, 0.1380033703343286, 0.19075593138292718, 0.18744596565524355, -0.1535605979987826, 0.1079125781573403, -0.15558201014004552, 0.151130235592763, 0.043504665713184155, 0.030074926564852014, 0.11995988712283762, 0.14817651563013592, 0.22337279444894728, 0.21644202173159172, -0.019591894109721463, -0.0720922354226693, -0.319517519336958, -0.143472211180219, -0.2068163088749712, 0.004514955434178074, -0.13587247317609114, -0.21945699337625113, 0.39306996885599615, 0.12562721807999203, 0.19480162636878398, 0.18581107103650887, 0.2985919254223028, 0.16305559143783727, 0.01946492789265437, 0.11771011954018225, 0.18413332047669265, 0.12722557394628006, 0.0053523385222666925, -0.19730084947644708, 0.07064700923943654, 0.1829429166779543] |
1,802.02427 | MRI Tumor Segmentation with Densely Connected 3D CNN | Glioma is one of the most common and aggressive types of primary brain
tumors. The accurate segmentation of subcortical brain structures is crucial to
the study of gliomas in that it helps the monitoring of the progression of
gliomas and aids the evaluation of treatment outcomes. However, the large
amount of required human labor makes it difficult to obtain the manually
segmented Magnetic Resonance Imaging (MRI) data, limiting the use of precise
quantitative measurements in the clinical practice. In this work, we try to
address this problem by developing a 3D Convolutional Neural Network~(3D CNN)
based model to automatically segment gliomas. The major difficulty of our
segmentation model comes with the fact that the location, structure, and shape
of gliomas vary significantly among different patients. In order to accurately
classify each voxel, our model captures multi-scale contextual information by
extracting features from two scales of receptive fields. To fully exploit the
tumor structure, we propose a novel architecture that hierarchically segments
different lesion regions of the necrotic and non-enhancing tumor~(NCR/NET),
peritumoral edema~(ED) and GD-enhancing tumor~(ET). Additionally, we utilize
densely connected convolutional blocks to further boost the performance. We
train our model with a patch-wise training schema to mitigate the class
imbalance problem. The proposed method is validated on the BraTS 2017 dataset
and it achieves Dice scores of 0.72, 0.83 and 0.81 for the complete tumor,
tumor core and enhancing tumor, respectively. These results are comparable to
the reported state-of-the-art results, and our method is better than existing
3D-based methods in terms of compactness, time and space efficiency.
| eess.IV cs.CV | glioma is one of the most common and aggressive types of primary brain tumors the accurate segmentation of subcortical brain structures is crucial to the study of gliomas in that it helps the monitoring of the progression of gliomas and aids the evaluation of treatment outcomes however the large amount of required human labor makes it difficult to obtain the manually segmented magnetic resonance imaging mri data limiting the use of precise quantitative measurements in the clinical practice in this work we try to address this problem by developing a 3d convolutional neural network3d cnn based model to automatically segment gliomas the major difficulty of our segmentation model comes with the fact that the location structure and shape of gliomas vary significantly among different patients in order to accurately classify each voxel our model captures multiscale contextual information by extracting features from two scales of receptive fields to fully exploit the tumor structure we propose a novel architecture that hierarchically segments different lesion regions of the necrotic and nonenhancing tumorncrnet peritumoral edemaed and gdenhancing tumoret additionally we utilize densely connected convolutional blocks to further boost the performance we train our model with a patchwise training schema to mitigate the class imbalance problem the proposed method is validated on the brats 2017 dataset and it achieves dice scores of 072 083 and 081 for the complete tumor tumor core and enhancing tumor respectively these results are comparable to the reported stateoftheart results and our method is better than existing 3dbased methods in terms of compactness time and space efficiency | [['glioma', 'is', 'one', 'of', 'the', 'most', 'common', 'and', 'aggressive', 'types', 'of', 'primary', 'brain', 'tumors', 'the', 'accurate', 'segmentation', 'of', 'subcortical', 'brain', 'structures', 'is', 'crucial', 'to', 'the', 'study', 'of', 'gliomas', 'in', 'that', 'it', 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1,802.02428 | An elementary conjecture which implies the Goldbach conjecture | Let $p_{1}$, ..., $p_{k}$ be the first $k$ odd primes in succession. Let $n$
be an even integer such that $n > p_{k}$. We conjecture that if none of $n -
p_{1}$, ..., $n - p_{k}$ are prime, then at least one of them has a prime
factor which is greater than or equal to $p_{k}$. In this brief note, we
observe that Goldbach's conjecture follows from this conjecture.
| math.GM | let p_1 p_k be the first k odd primes in succession let n be an even integer such that n p_k we conjecture that if none of n p_1 n p_k are prime then at least one of them has a prime factor which is greater than or equal to p_k in this brief note we observe that goldbachs conjecture follows from this conjecture | [['let', 'p_1', 'p_k', 'be', 'the', 'first', 'k', 'odd', 'primes', 'in', 'succession', 'let', 'n', 'be', 'an', 'even', 'integer', 'such', 'that', 'n', 'p_k', 'we', 'conjecture', 'that', 'if', 'none', 'of', 'n', 'p_1', 'n', 'p_k', 'are', 'prime', 'then', 'at', 'least', 'one', 'of', 'them', 'has', 'a', 'prime', 'factor', 'which', 'is', 'greater', 'than', 'or', 'equal', 'to', 'p_k', 'in', 'this', 'brief', 'note', 'we', 'observe', 'that', 'goldbachs', 'conjecture', 'follows', 'from', 'this', 'conjecture']] | [-0.23299043637234718, 0.23195035357844063, -0.13257549143600045, 0.00973273865201918, -0.022357435314916074, -0.26474492097622715, -0.011243069562624441, 0.30753497866680846, -0.2955878093489446, -0.28878445630834904, -0.012824390785681317, -0.3628623838121712, -0.11554704097579815, 0.14887207798528834, -0.06860835202678572, -0.08954346185782924, 0.04041159662301652, 0.13890364054532256, -0.0010391216128482483, -0.36919016507454216, 0.26965338207082823, -0.10437745039234869, 0.07027131369977724, 0.0097654254277586, 0.027488128464028705, 0.0075835494717466645, 0.10410694513848284, -0.002340735816687811, -0.17757438452633778, 0.05940361216926249, 0.34032236495113466, 0.15953357038961258, 0.3390996855450794, -0.3989003917959053, -0.051191391477914294, 0.2823333546111826, 0.23084244636265794, -0.07258699545673153, 0.037204432039288804, -0.1061671286879573, 0.24669216660549864, -0.12920209755247924, -0.18361139339685906, -0.0293099858390633, 0.1729565224959515, -0.030229195035644807, -0.32287902785174083, -0.0021605700894724578, 0.15348050670945668, 0.13054402923444286, 0.06037617123001837, -0.27509516886493657, 0.022198461221705656, 0.0513336241383513, 0.05032112390108523, 0.09741270392987644, -0.06898516795627074, -0.013809740756187239, -0.1598302917482215, 0.3541672452702187, -0.019140667898000174, -0.1424960024887696, 0.025804968923694105, -0.281207994747092, -0.20171338692307472, 0.14703161956276745, 0.06726883720693877, 0.17817053673206829, 0.04254193705855869, 0.0914194185170345, -0.19340347923571244, 0.14770464308094233, 0.1919895013779751, -0.02333679791627219, 0.1601083747955272, 0.05409446754492819, 0.11754655442200601, 0.10681865975129767, -0.021015716989950306, 0.08458463340502931, -0.39120805433776695, -0.1666852818816551, -0.2678615801851265, 0.248861198531813, -0.12966805904579815, -0.03987041630898602, 0.25700855898321606, 0.08103809530439321, 0.19193982251454145, 0.13807574060228944, 0.25525121862301603, 0.11905853582720738, 0.000277667082627886, 0.14762997920570342, 0.017033988318871707, 0.12614317062252667, -0.11096844426356256, -0.1467827040978591, 0.01831969448903692, 0.12040417625394184] |
1,802.02429 | Maintenance of diversity in a hierarchical host-parasite model with
balancing selection and reinfection | Inspired by DNA data of the human cytomegalovirus we propose a model of a
two-type parasite population distributed over its hosts. The parasite is
capable to persist in its host till the host dies, and to reinfect other hosts.
To maintain type diversity within a host, balancing selection is assumed.
For a suitable parameter regime we show that in the limit of large host and
parasite populations the host state frequencies follow a dynamical system with
a globally stable equilibrium, guaranteeing that both types are maintained in
the parasite population for a long time on the host time scale.
| math.PR q-bio.PE | inspired by dna data of the human cytomegalovirus we propose a model of a twotype parasite population distributed over its hosts the parasite is capable to persist in its host till the host dies and to reinfect other hosts to maintain type diversity within a host balancing selection is assumed for a suitable parameter regime we show that in the limit of large host and parasite populations the host state frequencies follow a dynamical system with a globally stable equilibrium guaranteeing that both types are maintained in the parasite population for a long time on the host time scale | [['inspired', 'by', 'dna', 'data', 'of', 'the', 'human', 'cytomegalovirus', 'we', 'propose', 'a', 'model', 'of', 'a', 'twotype', 'parasite', 'population', 'distributed', 'over', 'its', 'hosts', 'the', 'parasite', 'is', 'capable', 'to', 'persist', 'in', 'its', 'host', 'till', 'the', 'host', 'dies', 'and', 'to', 'reinfect', 'other', 'hosts', 'to', 'maintain', 'type', 'diversity', 'within', 'a', 'host', 'balancing', 'selection', 'is', 'assumed', 'for', 'a', 'suitable', 'parameter', 'regime', 'we', 'show', 'that', 'in', 'the', 'limit', 'of', 'large', 'host', 'and', 'parasite', 'populations', 'the', 'host', 'state', 'frequencies', 'follow', 'a', 'dynamical', 'system', 'with', 'a', 'globally', 'stable', 'equilibrium', 'guaranteeing', 'that', 'both', 'types', 'are', 'maintained', 'in', 'the', 'parasite', 'population', 'for', 'a', 'long', 'time', 'on', 'the', 'host', 'time', 'scale']] | [-0.16450247770608073, 0.13047540789902812, -0.05915738180258565, 0.06017101285367677, -0.028289695430283594, -0.16648767812699644, 0.1478626125473341, 0.36017860517357336, -0.2555747666499681, -0.28224407128914436, 0.11046168237637653, -0.24655550859416975, -0.112114971334284, 0.14288405801940973, -0.07645892832343551, -0.0431234853429193, 0.03522128054185422, 0.0238420764581686, 0.05321585839952935, -0.2617121940158834, 0.2530043272106353, 0.03918623687191443, 0.26516867946889816, -0.044038911980360446, 0.11699055616786196, -0.014975966925666941, 0.020680191503329712, 0.007126171941483262, -0.11221916997652957, 0.03349589929219825, 0.2418551084166863, 0.13200863846342523, 0.3357685035602613, -0.38624122614661854, -0.21382135066269625, 0.1545690554241189, 0.17512947497324963, 0.14793651265496707, -0.0746303500120782, -0.2416709918679312, 0.12164930375575116, -0.1802321446996601, -0.18827765032818372, -0.0070511906906360325, 0.06826843373063538, 0.04543099964432644, -0.23441259160336822, 0.13975634363672762, -0.014259884909155186, 0.05175071388878154, -0.0942888026045767, -0.026938760694295093, -0.09790067466897796, 0.18680748353345375, 0.02780283921083078, -0.006860006687635875, 0.18564506845003126, -0.11012089907219916, -0.053543186059804876, 0.3767481655954863, -0.04822230706052535, -0.1324697171074498, 0.25899568090986724, -0.14660539110708568, -0.12574453786899797, 0.10909418778663332, 0.17906217752118606, 0.11577742643691975, -0.17381706026693186, 0.022652270741563178, -0.0038239342169930236, 0.1938977317903379, -0.02156629802122938, 0.04093398044657225, 0.27494003033886355, 0.26175935614402546, 0.06537318347266527, 0.08978349676019409, -0.0877625510458731, -0.11310185257326623, -0.1745778186472528, -0.12914831347462505, -0.14227103337532643, 0.03795843590239082, -0.07492281931112614, -0.17117040821661553, 0.42698797143318434, 0.12232721974659297, 0.2020743410667461, 0.15132788909279338, 0.2345373714107531, 0.04767263196455785, 0.12919194003886947, 0.08174572565188312, 0.20358687169929834, 0.06329760606626444, 0.06617789181076329, -0.26613401085364097, 0.14221195678104354, -0.027395416331016505] |
1,802.0243 | From Elasticity to Electromagnetism: Beyond the Mirror | The first purpose of this short but striking paper is to revisit Elasticity
(EL) and Electromagnetism (EM) by comparing the structure of these two theories
and examining with details their well known couplings, in particular
piezoelectricity and photoelasticity. Despite the strange Helmholtz and
Mach-Lippmann analogies existing between them, no classical technique may
provide a common setting. However, unexpected arguments discovered
independently by the brothers E. and F. Cosserat in 1909 for EL and by H. Weyl
in 1918 for EM are leading to construct a new differential sequence called
Spencer sequence in the framework of the formal theory of Lie pseudogroups and
to introduce it for the conformal group of space-time with 15 parameters. Then,
all the previous explicit couplings can be deduced abstractly and one must just
go to a laboratory in order to know about the coupling constants on which they
are depending, like in the Hooke or Minkowski constitutive relations existing
respectively in EL or EM separately. We finally provide a new combined
experimental and theoretical proof of the fact that any 1-form with value in
the second order jets (elations) of the conformal group of space-time can be
uniquely decomposed into the direct sum of the Ricci tensor R and the
electromagnetic field F. This result questions the mathematical foundations of
both General Relativity (GR) and Gauge Theory (GT). In particular, the Einstein
operator (6 terms) must be thus replaced by the formal adjoint of the Ricci
operator (4 terms only) in the study of gravitational waves.
| physics.gen-ph | the first purpose of this short but striking paper is to revisit elasticity el and electromagnetism em by comparing the structure of these two theories and examining with details their well known couplings in particular piezoelectricity and photoelasticity despite the strange helmholtz and machlippmann analogies existing between them no classical technique may provide a common setting however unexpected arguments discovered independently by the brothers e and f cosserat in 1909 for el and by h weyl in 1918 for em are leading to construct a new differential sequence called spencer sequence in the framework of the formal theory of lie pseudogroups and to introduce it for the conformal group of spacetime with 15 parameters then all the previous explicit couplings can be deduced abstractly and one must just go to a laboratory in order to know about the coupling constants on which they are depending like in the hooke or minkowski constitutive relations existing respectively in el or em separately we finally provide a new combined experimental and theoretical proof of the fact that any 1form with value in the second order jets elations of the conformal group of spacetime can be uniquely decomposed into the direct sum of the ricci tensor r and the electromagnetic field f this result questions the mathematical foundations of both general relativity gr and gauge theory gt in particular the einstein operator 6 terms must be thus replaced by the formal adjoint of the ricci operator 4 terms only in the study of gravitational waves | [['the', 'first', 'purpose', 'of', 'this', 'short', 'but', 'striking', 'paper', 'is', 'to', 'revisit', 'elasticity', 'el', 'and', 'electromagnetism', 'em', 'by', 'comparing', 'the', 'structure', 'of', 'these', 'two', 'theories', 'and', 'examining', 'with', 'details', 'their', 'well', 'known', 'couplings', 'in', 'particular', 'piezoelectricity', 'and', 'photoelasticity', 'despite', 'the', 'strange', 'helmholtz', 'and', 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1,802.02431 | Canonicality of Makanin-Razborov Diagrams - Counterexample | Sets of solutions to finite systems of equations in a free group, are
equivalent to sets of homomorphisms from a fixed f.p. group into a free group.
The latter can be encoded in a diagram, the construction of which is valid also
for f.g. groups. The diagram is known to be canonical for a fixed f.g. group
with a fixed generating set. In this paper we prove that the construction
depends on the chosen generating set of the given f.g. group.
| math.GR | sets of solutions to finite systems of equations in a free group are equivalent to sets of homomorphisms from a fixed fp group into a free group the latter can be encoded in a diagram the construction of which is valid also for fg groups the diagram is known to be canonical for a fixed fg group with a fixed generating set in this paper we prove that the construction depends on the chosen generating set of the given fg group | [['sets', 'of', 'solutions', 'to', 'finite', 'systems', 'of', 'equations', 'in', 'a', 'free', 'group', 'are', 'equivalent', 'to', 'sets', 'of', 'homomorphisms', 'from', 'a', 'fixed', 'fp', 'group', 'into', 'a', 'free', 'group', 'the', 'latter', 'can', 'be', 'encoded', 'in', 'a', 'diagram', 'the', 'construction', 'of', 'which', 'is', 'valid', 'also', 'for', 'fg', 'groups', 'the', 'diagram', 'is', 'known', 'to', 'be', 'canonical', 'for', 'a', 'fixed', 'fg', 'group', 'with', 'a', 'fixed', 'generating', 'set', 'in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'construction', 'depends', 'on', 'the', 'chosen', 'generating', 'set', 'of', 'the', 'given', 'fg', 'group']] | [-0.17319020780700226, 0.12440305896517304, -0.14114299399295338, 0.038967447558038486, -0.08441763730823165, -0.085075979626933, 0.06612033883460372, 0.3266003153482337, -0.28874605569850514, -0.24165659643318735, 0.09126688340638568, -0.2305257734555153, -0.10812075200410169, 0.23075198523562263, -0.09383806176943543, -0.025362640935467716, 0.03257497145943804, 0.1261611171066761, -0.11763977126885251, -0.25817627809297894, 0.3921360361079375, -0.04548070393502712, 0.22753534251019175, -0.057288206147926825, 0.12204718885276421, -0.005648167660160933, -0.012699405455754863, 0.08869119853149225, -0.12697687321732376, 0.11450659391688711, 0.2638461846904254, 0.09171738207949624, 0.23884924078061257, -0.32598610254533494, -0.18159431861181755, 0.1803791855280805, 0.13147764902469922, 0.09509769406738794, -0.0686936103437027, -0.23078703514679713, 0.17187344310729746, -0.16595130740308467, -0.11398941068047727, -0.011206397556780297, 0.041158621262666985, 0.052949140699189386, -0.2823012283094871, -0.0232444558623908, 0.021123873104375822, 0.0640272579420312, -0.06155174868871217, -0.07995336715499927, -0.05169472497899407, 0.1608596145991742, -0.03271467940893346, 0.05992172098500125, 0.08653666556203439, -0.09906333191377789, -0.05249993729600568, 0.456241793240662, -0.06801655040019089, -0.2572013931693854, 0.14396771946117098, -0.15809864670406154, -0.18098951766934293, 0.10757611301601117, 0.10201460240914682, 0.1446276257895393, -0.12884369331561488, 0.16236128744289832, -0.11992162403961022, 0.15777245950367716, 0.0459067783502425, -0.012797745709295994, 0.16238601087523555, 0.12491713471158787, 0.09390994543669584, 0.15655585074578815, 0.048160509634648026, -0.03873826082749867, -0.3881596558623844, -0.1666055382121596, -0.15807738045897382, 0.054300292671002726, -0.07774660793811451, -0.2301429849618149, 0.4123463786126655, 0.08882254435117413, 0.16578377532646243, 0.09078634118540557, 0.1909713952537672, 0.14038623410404982, 0.08788835682710748, 0.06173247636445327, 0.10000105312577, 0.1466135312055732, -0.0981025575246248, -0.17692417689070197, -0.013791328267320806, 0.16320271755821636] |
1,802.02432 | CryptoRec: Privacy-preserving Recommendation as a Service | Recommender systems rely on large datasets of historical data and entail
serious privacy risks. A server offering Recommendation as a Service to a
client might leak more information than necessary regarding its recommendation
model and dataset. At the same time, the disclosure of the client's preferences
to the server is also a matter of concern. Devising privacy-preserving
protocols using general cryptographic primitives (e.g., secure multi-party
computation or homomorphic encryption), is a typical approach to overcome
privacy concerns, but in conjunction with state-of-the-art recommender systems
often yields far-from-practical solutions.
In this paper, we tackle this problem from the direction of constructing
crypto-friendly machine learning algorithms. In particular, we propose
CryptoRec, a secure two-party computation protocol for Recommendation as a
Service, which encompasses a novel recommender system. This model possesses two
interesting properties: (1) It models user-item interactions in an item-only
latent feature space in which personalized user representations are
automatically captured by an aggregation of pre-learned item features. This
means that a server with a pre-trained model can provide recommendations for a
client whose data is not in its training set. Nevertheless, re-training the
model with the client's data still improves accuracy. (2) It only uses addition
and multiplication operations, making the model straightforwardly compatible
with homomorphic encryption schemes.
We demonstrate the efficiency and accuracy of CryptoRec on three real-world
datasets. CryptoRec allows a server with thousands of items to privately answer
a prediction query within a few seconds on a single PC, while its prediction
accuracy is still competitive with state-of-the-art recommender systems
computing over clear data.
| cs.CR | recommender systems rely on large datasets of historical data and entail serious privacy risks a server offering recommendation as a service to a client might leak more information than necessary regarding its recommendation model and dataset at the same time the disclosure of the clients preferences to the server is also a matter of concern devising privacypreserving protocols using general cryptographic primitives eg secure multiparty computation or homomorphic encryption is a typical approach to overcome privacy concerns but in conjunction with stateoftheart recommender systems often yields farfrompractical solutions in this paper we tackle this problem from the direction of constructing cryptofriendly machine learning algorithms in particular we propose cryptorec a secure twoparty computation protocol for recommendation as a service which encompasses a novel recommender system this model possesses two interesting properties 1 it models useritem interactions in an itemonly latent feature space in which personalized user representations are automatically captured by an aggregation of prelearned item features this means that a server with a pretrained model can provide recommendations for a client whose data is not in its training set nevertheless retraining the model with the clients data still improves accuracy 2 it only uses addition and multiplication operations making the model straightforwardly compatible with homomorphic encryption schemes we demonstrate the efficiency and accuracy of cryptorec on three realworld datasets cryptorec allows a server with thousands of items to privately answer a prediction query within a few seconds on a single pc while its prediction accuracy is still competitive with stateoftheart recommender systems computing over clear data | [['recommender', 'systems', 'rely', 'on', 'large', 'datasets', 'of', 'historical', 'data', 'and', 'entail', 'serious', 'privacy', 'risks', 'a', 'server', 'offering', 'recommendation', 'as', 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1,802.02433 | The Binary $\mathfrak{aff}(n|1)$-Invariant Differential Operators On
Weighted Densities On The Superspace $\mathbb{R}^{1|n}$ And
$\mathfrak{aff}(n|1)$-Relative Cohomology | We consider the $\mathfrak{aff}(n|1)-$module structure on the spaces of
differential bilinear operators acting on the superspaces of weighted
densities. We classify $\mathfrak{aff}(n|1)-$invariant binary differential
operators acting on the spaces of weighted densities. This result allows us to
compute the first $\mathfrak{aff}(n|1)-$relative differential cohomology of
$\mathcal{K}(n)$ with coefficients in the superspace of linear differential
operators acting on the superspaces of weighted densities.
| math.DG | we consider the mathfrakaffn1module structure on the spaces of differential bilinear operators acting on the superspaces of weighted densities we classify mathfrakaffn1invariant binary differential operators acting on the spaces of weighted densities this result allows us to compute the first mathfrakaffn1relative differential cohomology of mathcalkn with coefficients in the superspace of linear differential operators acting on the superspaces of weighted densities | [['we', 'consider', 'the', 'mathfrakaffn1module', 'structure', 'on', 'the', 'spaces', 'of', 'differential', 'bilinear', 'operators', 'acting', 'on', 'the', 'superspaces', 'of', 'weighted', 'densities', 'we', 'classify', 'mathfrakaffn1invariant', 'binary', 'differential', 'operators', 'acting', 'on', 'the', 'spaces', 'of', 'weighted', 'densities', 'this', 'result', 'allows', 'us', 'to', 'compute', 'the', 'first', 'mathfrakaffn1relative', 'differential', 'cohomology', 'of', 'mathcalkn', 'with', 'coefficients', 'in', 'the', 'superspace', 'of', 'linear', 'differential', 'operators', 'acting', 'on', 'the', 'superspaces', 'of', 'weighted', 'densities']] | [-0.15749772557796077, 0.07740173752194848, -0.02406427570104856, 0.07626400456627316, -0.1205137747235532, 0.0029464920918489323, -0.04339287198823074, 0.33945851002273886, -0.27641471468939866, -0.21465557742590918, 0.10277899443613493, -0.31341567301971174, -0.15116772813529805, 0.18370028154860282, -0.11014430963530622, 0.027251651542710847, -0.03556048191666346, 0.09541148970963369, -0.19320646567462846, -0.28629936884831764, 0.5308681737695788, -0.04458437920226876, 0.17346596415154636, -0.008902565495849684, 0.19778804553287296, 0.07424899958202551, -0.13154090074661734, -0.06394221275595241, -0.1425977784754901, 0.22635712879228181, 0.2551711568737338, 0.010111766048418036, 0.14508273179947945, -0.4480980964184835, -0.13862871250201916, 0.1668964905327122, 0.06336009998581019, 0.007789955386121212, 0.04489226242655824, -0.2980894885158391, -0.01947308853188337, -0.15801859467194, -0.11136597179775608, -0.1254625909536242, 0.024250965726015896, 0.06715377516530711, -0.31025995459941474, 0.05963989230001281, 0.04580727919679264, 0.031737647661618115, -0.17843479542804336, -0.10170228712678213, -0.09429579530039738, 0.09284830614442713, -0.10125240108102625, -0.05845143780080152, 0.11580672856131248, -0.05993422515417353, -0.15209598486022702, 0.32683581075277823, -0.14185685956657962, -0.30142857905091913, 0.0875575268512656, -0.21707579217337328, -0.17141199593255618, 0.031352660586607864, 0.2624483676948424, 0.2654776156012868, -0.08055114444317135, 0.17058192220805535, -0.054799317960338344, 0.08633542190916066, 0.08381398723878224, 0.036076926754723335, 0.05974210029696757, 0.0895670826049072, 0.18989735223545595, 0.12070782954708256, -0.0033634928344138735, -0.12683511375859058, -0.36435077731208554, -0.18301735322215948, -0.05961060308819187, 0.07369178932577629, -0.11180639238867524, -0.19738075459889812, 0.3809816485335087, 0.05262499538667757, 0.26512525532523107, 0.10733126699603324, 0.21297325146512996, 0.21196232617286773, 0.11764914706220915, -0.019483144523511672, 0.13419202084107132, 0.29968940916246384, 0.08164301537105749, -0.18852932020572238, -0.04493860338397067, 0.2624705804929394] |
1,802.02434 | Evolutionary Computation plus Dynamic Programming for the Bi-Objective
Travelling Thief Problem | This research proposes a novel indicator-based hybrid evolutionary approach
that combines approximate and exact algorithms. We apply it to a new
bi-criteria formulation of the travelling thief problem, which is known to the
Evolutionary Computation community as a benchmark multi-component optimisation
problem that interconnects two classical NP-hard problems: the travelling
salesman problem and the 0-1 knapsack problem. Our approach employs the exact
dynamic programming algorithm for the underlying Packing-While-Travelling (PWT)
problem as a subroutine within a bi-objective evolutionary algorithm. This
design takes advantage of the data extracted from Pareto fronts generated by
the dynamic program to achieve better solutions. Furthermore, we develop a
number of novel indicators and selection mechanisms to strengthen synergy of
the two algorithmic components of our approach. The results of computational
experiments show that the approach is capable to outperform the
state-of-the-art results for the single-objective case of the problem.
| cs.AI | this research proposes a novel indicatorbased hybrid evolutionary approach that combines approximate and exact algorithms we apply it to a new bicriteria formulation of the travelling thief problem which is known to the evolutionary computation community as a benchmark multicomponent optimisation problem that interconnects two classical nphard problems the travelling salesman problem and the 01 knapsack problem our approach employs the exact dynamic programming algorithm for the underlying packingwhiletravelling pwt problem as a subroutine within a biobjective evolutionary algorithm this design takes advantage of the data extracted from pareto fronts generated by the dynamic program to achieve better solutions furthermore we develop a number of novel indicators and selection mechanisms to strengthen synergy of the two algorithmic components of our approach the results of computational experiments show that the approach is capable to outperform the stateoftheart results for the singleobjective case of the problem | [['this', 'research', 'proposes', 'a', 'novel', 'indicatorbased', 'hybrid', 'evolutionary', 'approach', 'that', 'combines', 'approximate', 'and', 'exact', 'algorithms', 'we', 'apply', 'it', 'to', 'a', 'new', 'bicriteria', 'formulation', 'of', 'the', 'travelling', 'thief', 'problem', 'which', 'is', 'known', 'to', 'the', 'evolutionary', 'computation', 'community', 'as', 'a', 'benchmark', 'multicomponent', 'optimisation', 'problem', 'that', 'interconnects', 'two', 'classical', 'nphard', 'problems', 'the', 'travelling', 'salesman', 'problem', 'and', 'the', '01', 'knapsack', 'problem', 'our', 'approach', 'employs', 'the', 'exact', 'dynamic', 'programming', 'algorithm', 'for', 'the', 'underlying', 'packingwhiletravelling', 'pwt', 'problem', 'as', 'a', 'subroutine', 'within', 'a', 'biobjective', 'evolutionary', 'algorithm', 'this', 'design', 'takes', 'advantage', 'of', 'the', 'data', 'extracted', 'from', 'pareto', 'fronts', 'generated', 'by', 'the', 'dynamic', 'program', 'to', 'achieve', 'better', 'solutions', 'furthermore', 'we', 'develop', 'a', 'number', 'of', 'novel', 'indicators', 'and', 'selection', 'mechanisms', 'to', 'strengthen', 'synergy', 'of', 'the', 'two', 'algorithmic', 'components', 'of', 'our', 'approach', 'the', 'results', 'of', 'computational', 'experiments', 'show', 'that', 'the', 'approach', 'is', 'capable', 'to', 'outperform', 'the', 'stateoftheart', 'results', 'for', 'the', 'singleobjective', 'case', 'of', 'the', 'problem']] | [-0.08897341511674695, -0.050608498591382604, -0.12271225201519584, 0.08703546294021759, -0.13448637251097423, -0.15434741389032428, 0.08473282771419499, 0.3671365578535137, -0.3346194834350706, -0.3614414370540608, 0.08902217774453305, -0.20837164442282874, -0.22871199897588132, 0.2138478511592725, -0.0507619470743368, 0.11510018254483731, 0.10349599279013912, -0.04946805332246777, -0.048156770432231155, -0.2461804011706393, 0.26507012163275867, 0.019453433579993205, 0.2849910699964299, 0.03729952548441666, 0.14408669060249193, -0.009435067301733302, 0.00731698715883483, 0.04872978153012504, -0.1328379887821608, 0.1622582480288599, 0.30060246293726084, 0.2570706923407587, 0.3622576045328295, -0.3898154370799348, -0.2000736331337594, 0.0894109601850159, 0.1441632757302035, 0.13341499816128086, -0.04808388865012285, -0.2358026321557305, 0.09021255439611386, -0.1291920943464514, -0.09351130942260469, -0.038642683691651254, -0.039217122797886805, 0.0077909435743101305, -0.3099487569782284, 0.03374021541867796, 0.04421078066269939, -0.06276067316050192, -0.08228378171928331, -0.1596112244313101, 0.09363494861636545, 0.08083702983673323, 0.024962885134529413, 0.05025993960329911, 0.08009536126368008, -0.10765694906337551, -0.24286618346179073, 0.41387773462786126, -0.027028748218517203, -0.2020514563794111, 0.17690153138132414, 0.032541565375624006, -0.16165287835992403, 0.14143436042904542, 0.21970949869361134, 0.18398166233934202, -0.14472660110201818, 0.05771439383335581, -0.09650475699194036, 0.1412243263395438, 0.019868692101493893, -0.025685317589660417, 0.13296331028239086, 0.24944099772174458, 0.1411262485796526, 0.18812883637155164, -0.04159435163857741, -0.14586694207094558, -0.21600885035704587, -0.10958370996697747, -0.168230830623371, -0.05796688877150312, -0.09958224288333237, -0.16868276243794944, 0.40947644718616577, 0.2151244486778994, 0.11271588034094214, 0.13247879621999378, 0.35416341238570487, 0.07488496784589715, 0.012326312264414517, 0.12263087566837773, 0.19130737442112938, 0.08085920515151082, 0.11438978118724287, -0.2597667738922279, 0.05415169979686608, 0.10410908595626275] |
1,802.02435 | Mixed-state localization operators: Cohen's class and trace class
operators | We study mixed-state localization operators from the perspective of Werner's
operator convolutions which allows us to extend known results from the rank-one
case to trace class operators. The idea of localizing a signal to a domain in
phase space is approached from various directions such as bounds on the
spreading function, probability densities associated to mixed-state
localization operators, positive operator valued measures, positive
correspondence rules and variants of Tauberian theorems for operator
translates. Our results include a rigorous treatment of multiwindow-STFT
filters and a characterization of mixed-state localization operators as
positive correspondence rules. Furthermore, we provide a description of the
Cohen class in terms of Werner's convolution of operators and deduce
consequences on positive Cohen class distributions, an uncertainty principle,
uniqueness and phase retrieval for general elements of Cohen's class.
| math.FA math-ph math.MP | we study mixedstate localization operators from the perspective of werners operator convolutions which allows us to extend known results from the rankone case to trace class operators the idea of localizing a signal to a domain in phase space is approached from various directions such as bounds on the spreading function probability densities associated to mixedstate localization operators positive operator valued measures positive correspondence rules and variants of tauberian theorems for operator translates our results include a rigorous treatment of multiwindowstft filters and a characterization of mixedstate localization operators as positive correspondence rules furthermore we provide a description of the cohen class in terms of werners convolution of operators and deduce consequences on positive cohen class distributions an uncertainty principle uniqueness and phase retrieval for general elements of cohens class | [['we', 'study', 'mixedstate', 'localization', 'operators', 'from', 'the', 'perspective', 'of', 'werners', 'operator', 'convolutions', 'which', 'allows', 'us', 'to', 'extend', 'known', 'results', 'from', 'the', 'rankone', 'case', 'to', 'trace', 'class', 'operators', 'the', 'idea', 'of', 'localizing', 'a', 'signal', 'to', 'a', 'domain', 'in', 'phase', 'space', 'is', 'approached', 'from', 'various', 'directions', 'such', 'as', 'bounds', 'on', 'the', 'spreading', 'function', 'probability', 'densities', 'associated', 'to', 'mixedstate', 'localization', 'operators', 'positive', 'operator', 'valued', 'measures', 'positive', 'correspondence', 'rules', 'and', 'variants', 'of', 'tauberian', 'theorems', 'for', 'operator', 'translates', 'our', 'results', 'include', 'a', 'rigorous', 'treatment', 'of', 'multiwindowstft', 'filters', 'and', 'a', 'characterization', 'of', 'mixedstate', 'localization', 'operators', 'as', 'positive', 'correspondence', 'rules', 'furthermore', 'we', 'provide', 'a', 'description', 'of', 'the', 'cohen', 'class', 'in', 'terms', 'of', 'werners', 'convolution', 'of', 'operators', 'and', 'deduce', 'consequences', 'on', 'positive', 'cohen', 'class', 'distributions', 'an', 'uncertainty', 'principle', 'uniqueness', 'and', 'phase', 'retrieval', 'for', 'general', 'elements', 'of', 'cohens', 'class']] | [-0.09314701108211405, 0.07429424430211634, -0.06880772714106034, 0.11300589085119783, -0.08053240018207292, -0.11357340758825227, 0.08136159906866816, 0.3231058283600696, -0.272737490803783, -0.1985234769364429, 0.10363611116889836, -0.29041350079357875, -0.18303207362922588, 0.2031490532681346, -0.104057592870451, 0.07723259100647167, 0.049325073007927385, 0.03553447686699797, -0.15783663371274637, -0.14968066538373628, 0.3828959840046632, -0.005782372525770419, 0.2682477043465126, 0.0937926828529137, 0.09705424629686069, 0.054154940191367566, -0.0843799127330787, 0.006016749809920253, -0.11534808932031079, 0.14779660029899935, 0.26830274358666106, 0.14622687313763438, 0.2528700650265339, -0.3586251315509164, -0.21086726090401525, 0.16977224089006726, 0.07825354734515093, 0.07022170695681991, -0.01999488237423122, -0.35389162707431315, 0.05103570454782814, -0.17840551327942877, -0.13429665633715515, -0.12918224917768045, 0.035172983397578086, -0.0022869622208495704, -0.35027417213504397, 0.07436734811554468, 0.14193376234566518, 0.050759175034283205, -0.10758679219054115, -0.10929992653757999, 0.055407497621242446, 0.12445972032498481, 0.014240933421551603, 0.0031093565165967673, 0.0881333569996059, -0.09934391072669695, -0.16681267881347228, 0.3028778877008215, -0.07589180855614733, -0.24001647930505665, 0.16661927405051713, -0.15394234626514244, -0.13903239841190304, 0.07035093163835, 0.159621605090075, 0.17112508228467416, -0.12501514783172413, 0.12670727237849677, -0.06279325930676026, 0.09333536913212345, 0.07493159291514939, 0.11434902223558056, 0.1224703669851256, 0.051178317610896376, 0.14360703573771572, 0.17276403419456857, 0.006446802284290595, -0.11931125614467229, -0.3455196474787108, -0.16638671900434493, -0.170112059300029, 0.06928885204973811, -0.1164053100582696, -0.19647648478515245, 0.4351952850580389, 0.13215260222272643, 0.1952060652367027, 0.14357132750090443, 0.1944249167554658, 0.15298133314128734, 0.06693958052138026, -0.01891041191496937, 0.12572739274031663, 0.2256501761983445, 0.08174922009713428, -0.14484788706822163, 0.03367715475127794, 0.20379933396642197] |
1,802.02436 | Stochastic Deconvolutional Neural Network Ensemble Training on
Generative Pseudo-Adversarial Networks | The training of Generative Adversarial Networks is a difficult task mainly
due to the nature of the networks. One such issue is when the generator and
discriminator start oscillating, rather than converging to a fixed point.
Another case can be when one agent becomes more adept than the other which
results in the decrease of the other agent's ability to learn, reducing the
learning capacity of the system as a whole. Additionally, there exists the
problem of Mode Collapse which involves the generators output collapsing to a
single sample or a small set of similar samples. To train GANs a careful
selection of the architecture that is used along with a variety of other
methods to improve training. Even when applying these methods there is low
stability of training in relation to the parameters that are chosen. Stochastic
ensembling is suggested as a method for improving the stability while training
GANs.
| stat.ML cs.CV cs.LG | the training of generative adversarial networks is a difficult task mainly due to the nature of the networks one such issue is when the generator and discriminator start oscillating rather than converging to a fixed point another case can be when one agent becomes more adept than the other which results in the decrease of the other agents ability to learn reducing the learning capacity of the system as a whole additionally there exists the problem of mode collapse which involves the generators output collapsing to a single sample or a small set of similar samples to train gans a careful selection of the architecture that is used along with a variety of other methods to improve training even when applying these methods there is low stability of training in relation to the parameters that are chosen stochastic ensembling is suggested as a method for improving the stability while training gans | [['the', 'training', 'of', 'generative', 'adversarial', 'networks', 'is', 'a', 'difficult', 'task', 'mainly', 'due', 'to', 'the', 'nature', 'of', 'the', 'networks', 'one', 'such', 'issue', 'is', 'when', 'the', 'generator', 'and', 'discriminator', 'start', 'oscillating', 'rather', 'than', 'converging', 'to', 'a', 'fixed', 'point', 'another', 'case', 'can', 'be', 'when', 'one', 'agent', 'becomes', 'more', 'adept', 'than', 'the', 'other', 'which', 'results', 'in', 'the', 'decrease', 'of', 'the', 'other', 'agents', 'ability', 'to', 'learn', 'reducing', 'the', 'learning', 'capacity', 'of', 'the', 'system', 'as', 'a', 'whole', 'additionally', 'there', 'exists', 'the', 'problem', 'of', 'mode', 'collapse', 'which', 'involves', 'the', 'generators', 'output', 'collapsing', 'to', 'a', 'single', 'sample', 'or', 'a', 'small', 'set', 'of', 'similar', 'samples', 'to', 'train', 'gans', 'a', 'careful', 'selection', 'of', 'the', 'architecture', 'that', 'is', 'used', 'along', 'with', 'a', 'variety', 'of', 'other', 'methods', 'to', 'improve', 'training', 'even', 'when', 'applying', 'these', 'methods', 'there', 'is', 'low', 'stability', 'of', 'training', 'in', 'relation', 'to', 'the', 'parameters', 'that', 'are', 'chosen', 'stochastic', 'ensembling', 'is', 'suggested', 'as', 'a', 'method', 'for', 'improving', 'the', 'stability', 'while', 'training', 'gans']] | [-0.061333660254507816, 0.07145434661478495, -0.0587248771732044, 0.08350598336033992, -0.11705819034134808, -0.18899343522043516, 0.06230396174190455, 0.3885146780247917, -0.27099760234146225, -0.3167518598847831, 0.09594658555752839, -0.2633768597136665, -0.1407480245449932, 0.2001245008420742, -0.10867066940428405, 0.058851618174808905, 0.11146539609280988, 0.06696607348268592, -0.060428030697732164, -0.2915712517982238, 0.3362189908974514, 0.06039237853182813, 0.30996491987603586, -0.05056255647684416, 0.11095162779123627, -0.05196724899748451, 0.03912285951718639, 0.02224255730058776, -0.02279102439818278, 0.1317293476737382, 0.27047526442279285, 0.1669274276609699, 0.375229970188133, -0.39559833058409527, -0.22231322798927297, 0.15514189916329815, 0.13236893361202282, 0.14172235352375748, -0.028893732002166113, -0.25870979820156087, 0.13181959782474187, -0.13854731736255235, -0.05803410733266678, -0.07709792927400955, -0.015948814716165428, 0.013651803456206762, -0.3170825632486418, 0.007094845582811248, 0.10722745618850782, 0.02547120734654515, -0.0296011776478332, -0.0775982563573534, -0.04893204836415386, 0.16377385747322154, 0.08000118397438392, 0.08476435847500252, 0.12370545803476742, -0.1873870799132925, -0.09096938006067957, 0.3800754655362261, -0.026548745702151887, -0.22145419470373764, 0.21423709430941534, -0.06084970331793984, -0.11025591978852618, 0.13397585820801408, 0.18106335882923955, 0.13197121269297818, -0.12656814719707202, -0.0007421909617522226, 0.005193159457555176, 0.1733172189096214, 0.047811970339828966, -0.01218154544121777, 0.15758200646655646, 0.2499896279915501, 0.09352655413048651, 0.16123945595556252, -0.09583038390927874, -0.08742343732973079, -0.2423762409879968, -0.09872809032884901, -0.21719144706653634, 0.04391511379192207, -0.09468733996994383, -0.17515029295762793, 0.37548000452614433, 0.1790759340622493, 0.24635158099283447, 0.07575587649052555, 0.33784392638523625, 0.09262415379625422, 0.12243605197857547, 0.07871455501800477, 0.21836607301274671, 0.06153639558924744, 0.10254504200879065, -0.178759324469986, 0.11177680779877582, 0.018294208368520862] |
1,802.02437 | On the formation of neutron stars via accretion-induced collapse in
binaries | We investigate evolutionary pathways leading to neutron star formation
through the collapse of oxygen-neon white dwarf (ONe WD) stars in interacting
binaries. We consider (1) non-dynamical mass transfer where an ONe WD
approaches the Chandrasekhar mass leading to accretion-induced collapse (AIC)
and (2) dynamical timescale merger-induced collapse (MIC) between an ONe WD and
another WD. We present rates, delay times, and progenitor properties for two
different treatments of common envelope evolution. We show that AIC neutron
stars are formed via many different channels and the most dominant channel
depends on the adopted common envelope physics. Most AIC and MIC neutron stars
are born shortly after star formation, though some have delay times >10 Gyr.
The shortest delay time (25-50 Myr) AIC neutron stars have stripped-envelope,
compact, helium-burning star donors, though many prompt AIC neutron stars form
via wind-accretion from an asymptotic giant branch star. The longest delay time
AIC neutron stars, which may be observed as young milli-second pulsars among
globular clusters, have a red giant or main sequence donor at the time of NS
formation and will eventually evolve into NS + helium WD binaries. We discuss
AIC & MIC binaries as potential gravitational wave sources for LISA. Neutron
stars created via AIC undergo a LMXB phase, offering an electromagnetic
counterpart for those shortest orbital period sources that LISA could identify.
The formation of neutron stars from interacting WDs in binaries is likely to be
a key mechanism for the production of LIGO/Virgo gravitational wave sources
(NS-NS and BH-NS mergers) in globular clusters.
| astro-ph.SR astro-ph.HE | we investigate evolutionary pathways leading to neutron star formation through the collapse of oxygenneon white dwarf one wd stars in interacting binaries we consider 1 nondynamical mass transfer where an one wd approaches the chandrasekhar mass leading to accretioninduced collapse aic and 2 dynamical timescale mergerinduced collapse mic between an one wd and another wd we present rates delay times and progenitor properties for two different treatments of common envelope evolution we show that aic neutron stars are formed via many different channels and the most dominant channel depends on the adopted common envelope physics most aic and mic neutron stars are born shortly after star formation though some have delay times 10 gyr the shortest delay time 2550 myr aic neutron stars have strippedenvelope compact heliumburning star donors though many prompt aic neutron stars form via windaccretion from an asymptotic giant branch star the longest delay time aic neutron stars which may be observed as young millisecond pulsars among globular clusters have a red giant or main sequence donor at the time of ns formation and will eventually evolve into ns helium wd binaries we discuss aic mic binaries as potential gravitational wave sources for lisa neutron stars created via aic undergo a lmxb phase offering an electromagnetic counterpart for those shortest orbital period sources that lisa could identify the formation of neutron stars from interacting wds in binaries is likely to be a key mechanism for the production of ligovirgo gravitational wave sources nsns and bhns mergers in globular clusters | [['we', 'investigate', 'evolutionary', 'pathways', 'leading', 'to', 'neutron', 'star', 'formation', 'through', 'the', 'collapse', 'of', 'oxygenneon', 'white', 'dwarf', 'one', 'wd', 'stars', 'in', 'interacting', 'binaries', 'we', 'consider', '1', 'nondynamical', 'mass', 'transfer', 'where', 'an', 'one', 'wd', 'approaches', 'the', 'chandrasekhar', 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1,802.02438 | Pixel-Level Alignment of Facial Images for High Accuracy Recognition
Using Ensemble of Patches | The variation of pose, illumination and expression makes face recognition
still a challenging problem. As a pre-processing in holistic approaches, faces
are usually aligned by eyes. The proposed method tries to perform a pixel
alignment rather than eye-alignment by mapping the geometry of faces to a
reference face while keeping their own textures. The proposed geometry
alignment not only creates a meaningful correspondence among every pixel of all
faces, but also removes expression and pose variations effectively. The
geometry alignment is performed pixel-wise, i.e., every pixel of the face is
corresponded to a pixel of the reference face. In the proposed method, the
information of intensity and geometry of faces are separated properly, trained
by separate classifiers, and finally fused together to recognize human faces.
Experimental results show a great improvement using the proposed method in
comparison to eye-aligned recognition. For instance, at the false acceptance
rate of 0.001, the recognition rates are respectively improved by 24% and 33%
in Yale and AT&T datasets. In LFW dataset, which is a challenging big dataset,
improvement is 20% at FAR of 0.1.
| cs.CV | the variation of pose illumination and expression makes face recognition still a challenging problem as a preprocessing in holistic approaches faces are usually aligned by eyes the proposed method tries to perform a pixel alignment rather than eyealignment by mapping the geometry of faces to a reference face while keeping their own textures the proposed geometry alignment not only creates a meaningful correspondence among every pixel of all faces but also removes expression and pose variations effectively the geometry alignment is performed pixelwise ie every pixel of the face is corresponded to a pixel of the reference face in the proposed method the information of intensity and geometry of faces are separated properly trained by separate classifiers and finally fused together to recognize human faces experimental results show a great improvement using the proposed method in comparison to eyealigned recognition for instance at the false acceptance rate of 0001 the recognition rates are respectively improved by 24 and 33 in yale and att datasets in lfw dataset which is a challenging big dataset improvement is 20 at far of 01 | [['the', 'variation', 'of', 'pose', 'illumination', 'and', 'expression', 'makes', 'face', 'recognition', 'still', 'a', 'challenging', 'problem', 'as', 'a', 'preprocessing', 'in', 'holistic', 'approaches', 'faces', 'are', 'usually', 'aligned', 'by', 'eyes', 'the', 'proposed', 'method', 'tries', 'to', 'perform', 'a', 'pixel', 'alignment', 'rather', 'than', 'eyealignment', 'by', 'mapping', 'the', 'geometry', 'of', 'faces', 'to', 'a', 'reference', 'face', 'while', 'keeping', 'their', 'own', 'textures', 'the', 'proposed', 'geometry', 'alignment', 'not', 'only', 'creates', 'a', 'meaningful', 'correspondence', 'among', 'every', 'pixel', 'of', 'all', 'faces', 'but', 'also', 'removes', 'expression', 'and', 'pose', 'variations', 'effectively', 'the', 'geometry', 'alignment', 'is', 'performed', 'pixelwise', 'ie', 'every', 'pixel', 'of', 'the', 'face', 'is', 'corresponded', 'to', 'a', 'pixel', 'of', 'the', 'reference', 'face', 'in', 'the', 'proposed', 'method', 'the', 'information', 'of', 'intensity', 'and', 'geometry', 'of', 'faces', 'are', 'separated', 'properly', 'trained', 'by', 'separate', 'classifiers', 'and', 'finally', 'fused', 'together', 'to', 'recognize', 'human', 'faces', 'experimental', 'results', 'show', 'a', 'great', 'improvement', 'using', 'the', 'proposed', 'method', 'in', 'comparison', 'to', 'eyealigned', 'recognition', 'for', 'instance', 'at', 'the', 'false', 'acceptance', 'rate', 'of', '0001', 'the', 'recognition', 'rates', 'are', 'respectively', 'improved', 'by', '24', 'and', '33', 'in', 'yale', 'and', 'att', 'datasets', 'in', 'lfw', 'dataset', 'which', 'is', 'a', 'challenging', 'big', 'dataset', 'improvement', 'is', '20', 'at', 'far', 'of', '01']] | [-0.04821891064776547, -0.011987412368337195, -0.03245260053983984, 0.034870577010776053, -0.041971025061061124, -0.18047103514434415, 0.009300596279542097, 0.4570813517065279, -0.23506106288705983, -0.3779547984471147, 0.11622774673840346, -0.3117094449071067, -0.13890875302506298, 0.17992836352584235, -0.20686798908890308, 0.06191643431855973, 0.141157797675742, 0.06018838159651024, -0.0625488287350686, -0.2781336619571019, 0.24572107218221625, 0.03642871729987726, 0.33287357016770025, 0.040449414775037114, 0.15725799912607738, -0.030059313979405346, -0.03990449955532578, 0.03840000159891971, -0.02251612754104387, 0.17976469252869393, 0.26858699142153303, 0.1691491347135913, 0.25689153535438053, -0.37055773006358417, -0.15278809411147756, 0.04574215799972959, 0.11553671331474495, 0.11450839371904743, -0.0591875630564297, -0.3362249896529371, 0.11298386337630598, -0.10236248896677005, -0.02680884701921866, -0.06015319812760343, 0.030631937735368698, -0.0716313823179232, -0.2781556249018026, 0.06484862010199394, 0.06186450489932734, 0.09104148555923713, -0.06755334846387628, -0.12120545591002728, -0.014500938926226972, 0.21142023550398814, 0.030378042364472085, 0.08112330477635031, 0.1517826429080333, -0.20213723088761143, -0.10873677233283753, 0.41939077352623594, -0.025168957318956936, -0.24663431081643558, 0.1827569060822886, -0.11596586480063094, -0.09216814550958323, 0.17284788496352815, 0.1724919640023217, 0.11453737811122634, -0.15974507961694276, 0.020143322419673412, -0.037613984571476834, 0.1956181747033104, 0.12074297850459731, -0.03183093820855524, 0.2150929880915785, 0.20526022736108704, 0.052230171461621025, 0.1387871647936428, -0.20254293710432864, -0.041163192693081295, -0.21795072497046564, -0.09620601369664492, -0.19704365107202065, -0.051837759858878264, -0.11888397918713901, -0.1309385641198082, 0.3995436346995529, 0.20011640617655319, 0.23615891115185333, 0.06282642901825373, 0.3620506592429756, -0.0014263446334215782, 0.13562769611010306, 0.013987537134004484, 0.19913200604836614, 0.008249174808073538, 0.07633778383808859, -0.16000838980361234, 0.09831841323875268, 0.05831432894521048] |
1,802.02439 | Approximate Spacetime for Neutron Stars | An approximate realistic metric representing the spacetime of neutron stars
is obtained by perturbing the Kerr metric. This metric has five parameters,
namely the mass, spin or angular momentum, mass quadrupole, spin octupole and
mass hexadecapole. Moreover, a version of the Hartle-Thorne metric containing
these parameters is constructed by means of a series transformation between
these spacetimes and solving the Einstein field equations. The form of the
Pappas metric in Schwarzschild spherical coordinates is found. The three
relativistic multipole structures are compared.
| gr-qc | an approximate realistic metric representing the spacetime of neutron stars is obtained by perturbing the kerr metric this metric has five parameters namely the mass spin or angular momentum mass quadrupole spin octupole and mass hexadecapole moreover a version of the hartlethorne metric containing these parameters is constructed by means of a series transformation between these spacetimes and solving the einstein field equations the form of the pappas metric in schwarzschild spherical coordinates is found the three relativistic multipole structures are compared | [['an', 'approximate', 'realistic', 'metric', 'representing', 'the', 'spacetime', 'of', 'neutron', 'stars', 'is', 'obtained', 'by', 'perturbing', 'the', 'kerr', 'metric', 'this', 'metric', 'has', 'five', 'parameters', 'namely', 'the', 'mass', 'spin', 'or', 'angular', 'momentum', 'mass', 'quadrupole', 'spin', 'octupole', 'and', 'mass', 'hexadecapole', 'moreover', 'a', 'version', 'of', 'the', 'hartlethorne', 'metric', 'containing', 'these', 'parameters', 'is', 'constructed', 'by', 'means', 'of', 'a', 'series', 'transformation', 'between', 'these', 'spacetimes', 'and', 'solving', 'the', 'einstein', 'field', 'equations', 'the', 'form', 'of', 'the', 'pappas', 'metric', 'in', 'schwarzschild', 'spherical', 'coordinates', 'is', 'found', 'the', 'three', 'relativistic', 'multipole', 'structures', 'are', 'compared']] | [-0.17494795582627753, 0.12596077296372485, -0.055045985684889116, 0.0979539029464898, -0.10834234467105622, -0.06165980482928273, -0.11090121549985758, 0.32195037560787326, -0.17007002649011044, -0.3100158656470296, 0.0225710550467938, -0.2984932224357092, -0.08214036683358888, 0.1936073640060452, 0.007546832131238927, 0.03750241657991598, 0.00480037509952104, 0.09329242362334143, -0.1881109195329794, -0.1866488617503442, 0.4293937736259001, 0.06682237242234916, 0.203294507284626, -0.07000742544897082, 0.14243202323730036, -0.027399828123701054, -0.015830234513708914, 0.06751067879348539, -0.12527003314164353, 0.05033472907252428, 0.1723591083626649, 0.10555976222655396, 0.17678525759952096, -0.3413336153323876, -0.1833480184716059, 0.05803054407602403, 0.10549596720943, 0.15038067484047354, -0.06031871867002692, -0.32519102942698247, 0.019413942084988443, -0.20889996861891322, -0.18728774648568616, -0.13408167084406425, 0.0347235592482498, 0.0047750926758276255, -0.2533107829711786, 0.09647732419287466, 0.09158648116650378, 0.012564715994635552, -0.14629373378006788, -0.10785927825675505, -0.06384291675895816, 0.03528713823648215, 0.09874100667969664, 0.06831878217550494, 0.13252000706043185, -0.051985817384996975, -0.07031718772699738, 0.39858035520059854, -0.04314613168513993, -0.28445340924691864, 0.05373573665529853, -0.18401066613633457, -0.06103749226256296, 0.10307782443194854, 0.14323897061233476, 0.20697837382009843, -0.21129489285735095, 0.13069958356635009, -0.0016233634442181849, 0.15364257706238366, 0.17182012085757423, 0.020652908848871183, 0.2827696117640632, 0.09201179988818561, -0.011376318873883021, 0.09815381482107247, -0.110207773994927, -0.088311725985344, -0.25419158097242983, -0.10981004465678025, -0.18230662829094998, 0.0911496116853569, -0.23789048655826042, -0.16166576343338665, 0.36980298688214996, 0.02245672215798461, 0.14341259020857694, -0.00836941282969059, 0.2836963121620257, 0.10131061296319453, 0.05853952948506581, 0.11625894335689159, 0.34840165303094406, 0.2150333888726536, 0.06263466243541277, -0.2513134878408448, -0.058234264540327034, 0.13231191212856552] |
1,802.0244 | Tropicalized quartics and canonical embeddings for tropical curves of
genus 3 | Brodsky, Joswig, Morrison and Sturmfels showed that not all abstract tropical
curves of genus $3$ can be realized as a tropicalization of a quartic in the
euclidean plane. In this article, we focus on the interior of the maximal cones
in the moduli space and classify all curves which can be realized as a faithful
tropicalization in a tropical plane. Reflecting the algebro-geometric world, we
show that these are exactly those which are not realizably hyperelliptic.
Our approach is constructive: For any not realizably hyperelliptic curve, we
explicitly construct a realizable model of the tropical plane and a faithfully
tropicalized quartic in it. These constructions rely on modifications resp.
tropical refinements. Conversely, we prove that any realizably hyperelliptic
curve cannot be embedded in such a fashion. For that, we rely on the theory of
tropical divisors and embeddings from linear systems, and recent advances in
the realizability of sections of the tropical canonical divisor.
| math.AG math.CO | brodsky joswig morrison and sturmfels showed that not all abstract tropical curves of genus 3 can be realized as a tropicalization of a quartic in the euclidean plane in this article we focus on the interior of the maximal cones in the moduli space and classify all curves which can be realized as a faithful tropicalization in a tropical plane reflecting the algebrogeometric world we show that these are exactly those which are not realizably hyperelliptic our approach is constructive for any not realizably hyperelliptic curve we explicitly construct a realizable model of the tropical plane and a faithfully tropicalized quartic in it these constructions rely on modifications resp tropical refinements conversely we prove that any realizably hyperelliptic curve cannot be embedded in such a fashion for that we rely on the theory of tropical divisors and embeddings from linear systems and recent advances in the realizability of sections of the tropical canonical divisor | [['brodsky', 'joswig', 'morrison', 'and', 'sturmfels', 'showed', 'that', 'not', 'all', 'abstract', 'tropical', 'curves', 'of', 'genus', '3', 'can', 'be', 'realized', 'as', 'a', 'tropicalization', 'of', 'a', 'quartic', 'in', 'the', 'euclidean', 'plane', 'in', 'this', 'article', 'we', 'focus', 'on', 'the', 'interior', 'of', 'the', 'maximal', 'cones', 'in', 'the', 'moduli', 'space', 'and', 'classify', 'all', 'curves', 'which', 'can', 'be', 'realized', 'as', 'a', 'faithful', 'tropicalization', 'in', 'a', 'tropical', 'plane', 'reflecting', 'the', 'algebrogeometric', 'world', 'we', 'show', 'that', 'these', 'are', 'exactly', 'those', 'which', 'are', 'not', 'realizably', 'hyperelliptic', 'our', 'approach', 'is', 'constructive', 'for', 'any', 'not', 'realizably', 'hyperelliptic', 'curve', 'we', 'explicitly', 'construct', 'a', 'realizable', 'model', 'of', 'the', 'tropical', 'plane', 'and', 'a', 'faithfully', 'tropicalized', 'quartic', 'in', 'it', 'these', 'constructions', 'rely', 'on', 'modifications', 'resp', 'tropical', 'refinements', 'conversely', 'we', 'prove', 'that', 'any', 'realizably', 'hyperelliptic', 'curve', 'can', 'not', 'be', 'embedded', 'in', 'such', 'a', 'fashion', 'for', 'that', 'we', 'rely', 'on', 'the', 'theory', 'of', 'tropical', 'divisors', 'and', 'embeddings', 'from', 'linear', 'systems', 'and', 'recent', 'advances', 'in', 'the', 'realizability', 'of', 'sections', 'of', 'the', 'tropical', 'canonical', 'divisor']] | [-0.14800175920639547, 0.07360776590724145, -0.13642612070355925, 0.10363273480907083, -0.09669155914096102, -0.12048138715026359, -0.0033255885512898527, 0.3369521389925672, -0.3134288844141749, -0.21776886065039905, 0.1300974902914717, -0.2476699547842145, -0.23871859024549202, 0.27412807417642926, -0.19029201064859666, -0.0011301717705904477, 0.03419260721984169, 0.021378343215873164, -0.10321746484767044, -0.34033952211780893, 0.3741295262179788, -0.06914259215456343, 0.198590306469029, 0.07532346378411016, 0.08158402043665128, 0.031338948362146415, 0.030515627641861717, 0.020650384382667742, -0.11533472255086376, 0.159284144742865, 0.3424537561954029, 0.14993880723542985, 0.0975759047368962, -0.413417493636089, -0.21310675018617223, 0.22569721567204162, 0.12321849288569102, 0.07397369628081159, 0.025566074072623686, -0.1917089546144369, 0.044927875709348176, -0.11420553983940232, -0.18736228907420752, -0.09780888078178489, 0.004213589309684692, 0.0320059803765147, -0.18034614298507692, -0.06088315772733861, 0.1166184949718656, 0.1592071353638124, -0.00929635018410702, -0.10115697848640623, -0.11162990211328912, 0.01731310609367586, -0.05515076009136054, 0.07664907799673176, 0.058095392837159095, -0.08706996376145511, -0.11549178864243591, 0.3537248225582223, -0.06521556450377008, -0.2248144694123297, 0.11067620690070813, -0.14070368341260378, -0.1318623807116021, 0.11572553490949494, 0.14482223709985134, 0.17796353161815673, -0.05380162168594618, 0.17820618272601296, -0.1443307975487363, 0.09270291454609364, 0.11070959425020603, -0.07275076627190555, 0.1963919877007063, 0.07100190179602754, 0.05357316427173153, 0.08614218038461742, -0.0048598698775974974, -0.07241078844113696, -0.3588559388934124, -0.18013566047433885, -0.1171931351272149, 0.10651789143148269, -0.1041998000420262, -0.18605315567504976, 0.3918951633138462, 0.08719534905356986, 0.2203014343316036, 0.09985076825044328, 0.2498259674577463, 0.05484250886891518, 0.05052035525140743, 0.09850725016346382, 0.208839576036459, 0.1238049004046667, -0.007697988331558243, -0.12699474220224205, 0.01885712926140836, 0.1694603962343066] |
1,802.02441 | Transverse Single Spin Asymmetry in $J/\psi$ Production | We estimate transverse single spin asymmetry (TSSA) in electroproduction of
$J/\psi$ for J-Lab and EIC energies. We present estimates of TSSAs in $J/\psi$
production within generalized parton model (GPM) using recent parametrizations
of gluon Sivers function (GSF) and compare the results obtained using color
singlet model (CSM) with those obtained using color evaporation model (CEM) of
quarkonium production.
| hep-ph | we estimate transverse single spin asymmetry tssa in electroproduction of jpsi for jlab and eic energies we present estimates of tssas in jpsi production within generalized parton model gpm using recent parametrizations of gluon sivers function gsf and compare the results obtained using color singlet model csm with those obtained using color evaporation model cem of quarkonium production | [['we', 'estimate', 'transverse', 'single', 'spin', 'asymmetry', 'tssa', 'in', 'electroproduction', 'of', 'jpsi', 'for', 'jlab', 'and', 'eic', 'energies', 'we', 'present', 'estimates', 'of', 'tssas', 'in', 'jpsi', 'production', 'within', 'generalized', 'parton', 'model', 'gpm', 'using', 'recent', 'parametrizations', 'of', 'gluon', 'sivers', 'function', 'gsf', 'and', 'compare', 'the', 'results', 'obtained', 'using', 'color', 'singlet', 'model', 'csm', 'with', 'those', 'obtained', 'using', 'color', 'evaporation', 'model', 'cem', 'of', 'quarkonium', 'production']] | [0.05883183430655506, 0.20233962866919245, -0.20336296194200887, 0.17290710129550305, -0.008756170386512732, -0.08634071193378547, -0.036927828087535655, 0.40745305848018876, -0.10760136334835713, -0.17673880565140782, -0.16575915408561584, -0.32376849620827824, 0.06830380672633102, 0.141427882951042, 0.0927121391768792, 0.14215621501127065, 0.12246069588280957, -0.06934732704519711, -0.05908370828095438, -0.21303293131420326, 0.3295262992414164, 0.013575685638051223, 0.21108451175728235, 0.2239307863637805, 0.06897995773911604, 0.169651782180279, -0.05536141891056543, -0.07982436596448052, -0.17967294515431698, 0.07095911236608336, 0.232971744770425, 0.11921292181319461, 0.024429026533496278, -0.3798779906255418, -0.13122645800869012, 0.07150084629719114, 0.10365467293766038, 0.12299263628263926, -0.0903433607891202, -0.258819121176955, 0.06786225225519517, -0.35209891208094257, -0.1372652582760001, -0.08889309287167571, -0.058195393185275765, -0.017902587829478855, -0.39230645982677054, 0.13055287953466177, -0.12713083196110253, 0.012126735074381376, -0.06902889207262418, -0.31984411329352136, -0.07944695925107226, -0.06650234370267596, 0.08314003494511969, 0.192618597266746, 0.19880573196208168, -0.21573725675136365, -0.238625921180536, 0.33689738649489553, -0.07713021912836823, -0.14943446575439182, 0.0388954529530722, -0.23677200958903494, -0.12787078410900873, 0.08250031702557643, 0.24504564113208446, 0.11319075834712591, -0.22685771104719105, 0.03806045904137387, -0.029282512042896246, 0.12131747847487187, 0.11375517632956778, 0.06379726079517398, 0.1437760722373837, 0.24099046720095493, -0.12900806427130412, 0.10605423197808579, -0.143567650490601, -0.09229288982420132, -0.400363577080184, -0.0604373156293777, -0.07105973992368271, 0.0819919578217227, -0.08912960007327111, -0.04892171649583455, 0.3841445464480283, 0.10106875350827287, 0.27760225723513626, 0.007337468050034909, 0.35954593777142724, 0.11743081303249145, 0.03930745346889157, 0.06498046412036337, 0.23742372370806747, 0.22951279258243099, 0.159471258970684, -0.2528023388686365, 0.060269216093604035, 0.08932093916268184] |
1,802.02442 | Heavy flavour energy loss from AdS/CFT: A novel diffusion coefficient | Two AdS/CFT based energy loss models are used to compute the suppression and
azimuthal correlations of heavy quarks in heavy ion collisions. The model with
a velocity independent diffusion coefficient is in good agreement with B and D
meson data up to high $p_T$. The partonic azimuthal correlations we calculate
exhibit an order of magnitude difference in low momentum correlations to pQCD
calculations [arXiv:1305.3823]. We thus propose heavy flavour momentum
correlations as a distinguishing observable of weakly- and strongly-coupled
energy loss mechanisms.
| hep-ph | two adscft based energy loss models are used to compute the suppression and azimuthal correlations of heavy quarks in heavy ion collisions the model with a velocity independent diffusion coefficient is in good agreement with b and d meson data up to high p_t the partonic azimuthal correlations we calculate exhibit an order of magnitude difference in low momentum correlations to pqcd calculations arxiv13053823 we thus propose heavy flavour momentum correlations as a distinguishing observable of weakly and stronglycoupled energy loss mechanisms | [['two', 'adscft', 'based', 'energy', 'loss', 'models', 'are', 'used', 'to', 'compute', 'the', 'suppression', 'and', 'azimuthal', 'correlations', 'of', 'heavy', 'quarks', 'in', 'heavy', 'ion', 'collisions', 'the', 'model', 'with', 'a', 'velocity', 'independent', 'diffusion', 'coefficient', 'is', 'in', 'good', 'agreement', 'with', 'b', 'and', 'd', 'meson', 'data', 'up', 'to', 'high', 'p_t', 'the', 'partonic', 'azimuthal', 'correlations', 'we', 'calculate', 'exhibit', 'an', 'order', 'of', 'magnitude', 'difference', 'in', 'low', 'momentum', 'correlations', 'to', 'pqcd', 'calculations', 'arxiv13053823', 'we', 'thus', 'propose', 'heavy', 'flavour', 'momentum', 'correlations', 'as', 'a', 'distinguishing', 'observable', 'of', 'weakly', 'and', 'stronglycoupled', 'energy', 'loss', 'mechanisms']] | [-0.11708470770261353, 0.27664374782762025, -0.13723966857579387, 0.1645804381121617, 0.00730971039350455, -0.13109898981120852, -0.03876834493820314, 0.3713673579817017, -0.23899538986338878, -0.30124352005436833, -0.09704014395484356, -0.3709529826624526, 0.06494672582082359, 0.07116124398983371, 0.0610446774021343, 0.11016627171157319, 0.07717256710209229, -0.020549218825719976, -0.09284440735010085, -0.16742941886646512, 0.30215781362566313, 0.0636121280675317, 0.24834324311419034, 0.17803384786770668, 0.08717722947174614, 0.022528173292722598, -0.03024586308517574, -0.0032954092833133025, -0.12280457374858267, 0.07884441969095568, 0.2404087911736609, -0.020571160396898058, 0.1547636903224536, -0.37207855432535764, -0.15769689423204572, 0.10270051020025103, 0.16764101130243989, 0.10619080253807758, -0.06959288505935053, -0.17421996878621018, 0.04632515269389123, -0.2465202195863067, -0.1421743197493071, -0.1525328253729292, 0.005867724939260954, -0.008109978411668613, -0.3883081520735114, 0.19444317044977696, -0.025077409685853824, 0.06854721833870928, 0.0062233678490659335, -0.1438058097674339, -0.0760025930142513, 0.023951965050748838, 0.1235416470926232, 0.08464582015495793, 0.12810647757838906, -0.17763054325032612, -0.15644465014338493, 0.37836390365788963, -0.08586999440111542, -0.1866818639093343, 0.20591997457265762, -0.21388975504417845, -0.07774818717950473, 0.13175063160604533, 0.2688070456784816, 0.09289757641791194, -0.15919973557516012, 0.010686582438345929, -0.004674811468080238, 0.16626732258283697, 0.05647470201308161, 0.15044901909133818, 0.18329041538599097, 0.15181572997459658, -0.04779417648980463, 0.06894031038560278, -0.10772307091795, -0.09905079570828856, -0.3531106833230566, -0.10310419438475812, -0.1341981516553112, 0.02547685643887998, -0.14366891805925494, -0.0959729267798801, 0.37857829171152396, 0.1355502670975747, 0.3084219838090149, -0.03475574069702423, 0.307072914360712, 0.11662798963435408, 0.060561943308444534, 0.1340466280306839, 0.2724172640476882, 0.1870401593178143, 0.15503546981899827, -0.2996274859609979, 0.06149041180020661, 0.06334345289908441] |
1,802.02443 | Holomorphic polygons and the bordered Heegaard Floer homology of link complements | We describe the construction of an $\mathcal{A}_\infty$ multi-module in terms of counts of holomorphic polygons in a series Heegaard multi-diagrams. We show that this is quasi-isomorphic to the type-A bordered-sutured invariant of a link complement with a view to calculating, in the sequel, these invariants in terms of the link Floer homology of the corresponding link. | math.GT | we describe the construction of an mathcala_infty multimodule in terms of counts of holomorphic polygons in a series heegaard multidiagrams we show that this is quasiisomorphic to the typea borderedsutured invariant of a link complement with a view to calculating in the sequel these invariants in terms of the link floer homology of the corresponding link | [['we', 'describe', 'the', 'construction', 'of', 'an', 'mathcala_infty', 'multimodule', 'in', 'terms', 'of', 'counts', 'of', 'holomorphic', 'polygons', 'in', 'a', 'series', 'heegaard', 'multidiagrams', 'we', 'show', 'that', 'this', 'is', 'quasiisomorphic', 'to', 'the', 'typea', 'borderedsutured', 'invariant', 'of', 'a', 'link', 'complement', 'with', 'a', 'view', 'to', 'calculating', 'in', 'the', 'sequel', 'these', 'invariants', 'in', 'terms', 'of', 'the', 'link', 'floer', 'homology', 'of', 'the', 'corresponding', 'link']] | [-0.23698838556354695, 0.002883551426665773, -0.10979544974186203, 0.07279422401704572, -0.043681962440975684, -0.07863055566664447, 0.0033798118968578904, 0.3047824800014496, -0.3079428725621917, -0.2563854563981295, 0.06258433655497025, -0.22795207632536238, -0.2303535609421405, 0.1578070713969117, -0.19539413176138293, -0.030011263997717336, 0.0645851402882148, 0.07807278978977014, -0.12161292601085734, -0.22474108126691797, 0.3752018792724067, 0.01017464892938733, 0.17575504695149985, 0.10582349855791438, 0.08517179336737503, -0.01249325301667506, -0.08064576895399526, -0.0013038937087086113, -0.22298086463878544, 0.17226059882986275, 0.3111157150431113, 0.0010688422417098825, 0.12136464243416081, -0.34567117802798747, -0.07700856126876633, 0.14712831022387202, 0.13537962497635322, 0.005405844748020172, 0.05590691403909163, -0.240618109093471, 0.11156791160729798, -0.19684102873910558, -0.1452746515754949, -0.06464459973874248, -0.022422739897261967, 0.043792553288354116, -0.1598512033677914, -0.02175919676030224, 0.04855747906999155, 0.11596733937886629, -0.01515969429165125, -0.04302567929368128, -0.038433027648451655, 0.14898036753081462, 0.032720460801978005, 0.09389664113352245, 0.06649584382433783, -0.15061557558365166, -0.1718475722453811, 0.3665534104474566, -0.10696767190979285, -0.2679276892068711, 0.13678950450637123, -0.13913736737925897, -0.24897053209556774, 0.14623897649686446, 0.06091843086125499, 0.11372302984818816, -0.06691339156505736, 0.11396061823788015, -0.09589541202241725, 0.0662218590436334, 0.08096070360307667, -0.022133013733070004, 0.18218102927573704, 0.08858128471977332, 0.08548924203284762, 0.20565084532241928, -0.042268327310342683, -0.07529952478679744, -0.35429398878054186, -0.2815674348527947, -0.14175729547119276, 0.1026751445860348, -0.0983862756666812, -0.21565905257382176, 0.4643281471322883, 0.07745269467546181, 0.21578856257891113, 0.15845065326006574, 0.2643683654171499, 0.08014974873512984, 0.06668502733915706, 0.012030795970084992, 0.14699627362107012, 0.19455185722221027, 0.005870571918785572, -0.15709113621745596, -0.03283935473723845, 0.22165998538786716] |
1,802.02444 | What do we talk about when we speak of cosmological redshift? | From the first observations made by Slipher, our understanding and
interpretation of the cosmological redshift was evolving until reaching the
current consensus, through the expanding universe and the emergence of modern
physical cosmology within the framework of General Relativity. The redshift is
one of the most basic concepts of astronomy, and is one of the few
observational parameters that can be measured directly. To refer to the
temporal evolution of objects or cosmic structures in the universe, we often do
so indistinctly through cosmic time or cosmological redshift. But repeatedly
this connection ends up generating confusion not only among popular science
communicators but also within the professional astronomical community. In this
article, we will make a pedagogical approach to the link between cosmic time
and cosmological redshift, and we will also clarify several common
misunderstandings around this relation.
| astro-ph.CO | from the first observations made by slipher our understanding and interpretation of the cosmological redshift was evolving until reaching the current consensus through the expanding universe and the emergence of modern physical cosmology within the framework of general relativity the redshift is one of the most basic concepts of astronomy and is one of the few observational parameters that can be measured directly to refer to the temporal evolution of objects or cosmic structures in the universe we often do so indistinctly through cosmic time or cosmological redshift but repeatedly this connection ends up generating confusion not only among popular science communicators but also within the professional astronomical community in this article we will make a pedagogical approach to the link between cosmic time and cosmological redshift and we will also clarify several common misunderstandings around this relation | [['from', 'the', 'first', 'observations', 'made', 'by', 'slipher', 'our', 'understanding', 'and', 'interpretation', 'of', 'the', 'cosmological', 'redshift', 'was', 'evolving', 'until', 'reaching', 'the', 'current', 'consensus', 'through', 'the', 'expanding', 'universe', 'and', 'the', 'emergence', 'of', 'modern', 'physical', 'cosmology', 'within', 'the', 'framework', 'of', 'general', 'relativity', 'the', 'redshift', 'is', 'one', 'of', 'the', 'most', 'basic', 'concepts', 'of', 'astronomy', 'and', 'is', 'one', 'of', 'the', 'few', 'observational', 'parameters', 'that', 'can', 'be', 'measured', 'directly', 'to', 'refer', 'to', 'the', 'temporal', 'evolution', 'of', 'objects', 'or', 'cosmic', 'structures', 'in', 'the', 'universe', 'we', 'often', 'do', 'so', 'indistinctly', 'through', 'cosmic', 'time', 'or', 'cosmological', 'redshift', 'but', 'repeatedly', 'this', 'connection', 'ends', 'up', 'generating', 'confusion', 'not', 'only', 'among', 'popular', 'science', 'communicators', 'but', 'also', 'within', 'the', 'professional', 'astronomical', 'community', 'in', 'this', 'article', 'we', 'will', 'make', 'a', 'pedagogical', 'approach', 'to', 'the', 'link', 'between', 'cosmic', 'time', 'and', 'cosmological', 'redshift', 'and', 'we', 'will', 'also', 'clarify', 'several', 'common', 'misunderstandings', 'around', 'this', 'relation']] | [-0.08483016392742486, 0.11635088660092889, -0.10580354914123165, 0.10075659061144308, -0.158435702431893, -0.07219816880989009, 0.02586354499352097, 0.393360776492678, -0.25273963845203345, -0.3488374832153752, 0.09866026892036578, -0.24322448306096098, -0.10508145904843358, 0.17996135412840228, -0.03445695600796329, -0.0043872905704462764, 0.0396603672998026, 0.020324870667325846, -0.047361520062912714, -0.3039299570280465, 0.325039824663216, 0.14721556804547814, 0.22046200475238764, 0.018285188474692404, 0.09692976119539168, -0.07421384277362106, -0.1265798114557359, 0.03215987719190509, -0.14691755224713773, 0.07957922024281183, 0.2791873636196597, 0.22787854899449841, 0.3110661463663522, -0.4176447996194812, -0.2217154909917356, 0.09999272796783876, 0.1631375790862164, 0.1484080525573834, -0.033993044375455465, -0.2813825358947118, 0.022396856325044148, -0.15398641036438715, -0.1171655748916817, 0.0025764733984850454, -0.0008444042667152657, 0.005768893171014075, -0.1254865649237257, 0.08672113888989796, -0.002307790159450277, 0.012057255994042625, -0.04043857531096496, -0.05033482445667133, 0.01789287604270098, 0.14693291623742602, 0.08637743801227771, 0.05215590157330144, 0.10120804646335867, -0.14479575743662546, -0.08926751358650517, 0.4234507771046913, -0.03986976899213387, -0.08942580898229094, 0.19247714651957748, -0.1944121375774452, -0.19028332740054937, 0.0437415509444216, 0.1369855648406066, 0.06234925521024759, -0.19345958909168298, 0.0664494927323835, 0.0305015908409099, 0.17822766477795507, 0.08275445590835011, 0.032628546565504526, 0.3235667394136713, 0.15445865307634266, 0.021625629270219826, 0.022297855626886198, -0.0676506432161356, -0.08811396296959424, -0.3152261103226709, -0.1470846398598582, -0.15316681941107346, 0.08732536895737555, -0.10033239530468194, -0.15732597438382337, 0.39323873758531996, 0.2141187289102084, 0.17078348700011123, 0.0555974879383069, 0.3040056330948204, 0.008161337238878174, 0.05729237214225155, 0.06467659826444434, 0.29650875596680504, 0.1050649602725373, 0.13682307323535392, -0.1393927808663727, 0.07254895679247768, 0.005191018170528654] |
1,802.02445 | Second-order QCD effects in Higgs boson production through vector boson
fusion | We compute the factorising second-order QCD corrections to the electroweak
production of a Higgs boson through vector boson fusion. Our calculation is
fully differential in the kinematics of the Higgs boson and of the final state
jets, and uses the antenna subtraction method to handle infrared singular
configurations in the different parton-level contributions. Our results allow
us to reassess the impact of the next-to-leading order (NLO) QCD corrections to
electroweak Higgs-plus-three-jet production and of the next-to-next-to-leading
order (NNLO) QCD corrections to electroweak Higgs-plus-two-jet production. The
NNLO corrections are found to be limited in magnitude to around $\pm 5\%$ and
are uniform in several of the kinematical variables, displaying a kinematical
dependence only in the transverse momenta and rapidity separation of the two
tagging jets.
| hep-ph | we compute the factorising secondorder qcd corrections to the electroweak production of a higgs boson through vector boson fusion our calculation is fully differential in the kinematics of the higgs boson and of the final state jets and uses the antenna subtraction method to handle infrared singular configurations in the different partonlevel contributions our results allow us to reassess the impact of the nexttoleading order nlo qcd corrections to electroweak higgsplusthreejet production and of the nexttonexttoleading order nnlo qcd corrections to electroweak higgsplustwojet production the nnlo corrections are found to be limited in magnitude to around pm 5 and are uniform in several of the kinematical variables displaying a kinematical dependence only in the transverse momenta and rapidity separation of the two tagging jets | [['we', 'compute', 'the', 'factorising', 'secondorder', 'qcd', 'corrections', 'to', 'the', 'electroweak', 'production', 'of', 'a', 'higgs', 'boson', 'through', 'vector', 'boson', 'fusion', 'our', 'calculation', 'is', 'fully', 'differential', 'in', 'the', 'kinematics', 'of', 'the', 'higgs', 'boson', 'and', 'of', 'the', 'final', 'state', 'jets', 'and', 'uses', 'the', 'antenna', 'subtraction', 'method', 'to', 'handle', 'infrared', 'singular', 'configurations', 'in', 'the', 'different', 'partonlevel', 'contributions', 'our', 'results', 'allow', 'us', 'to', 'reassess', 'the', 'impact', 'of', 'the', 'nexttoleading', 'order', 'nlo', 'qcd', 'corrections', 'to', 'electroweak', 'higgsplusthreejet', 'production', 'and', 'of', 'the', 'nexttonexttoleading', 'order', 'nnlo', 'qcd', 'corrections', 'to', 'electroweak', 'higgsplustwojet', 'production', 'the', 'nnlo', 'corrections', 'are', 'found', 'to', 'be', 'limited', 'in', 'magnitude', 'to', 'around', 'pm', '5', 'and', 'are', 'uniform', 'in', 'several', 'of', 'the', 'kinematical', 'variables', 'displaying', 'a', 'kinematical', 'dependence', 'only', 'in', 'the', 'transverse', 'momenta', 'and', 'rapidity', 'separation', 'of', 'the', 'two', 'tagging', 'jets']] | [-0.07050581005989712, 0.16878828268543986, -0.14254240559406395, 0.14444180895654546, -0.07975025039517367, -0.05031389101087803, 0.008390456048741203, 0.351405232014959, -0.18122953766590502, -0.24724528191374523, -0.020266348226034066, -0.32993271173603955, 0.07210236662220149, 0.08935280366167121, 0.065805535878009, 0.15509103504620247, 0.05905595520648678, -0.014326230559849227, -0.08608301892326992, -0.2893871134147048, 0.3430336380365961, 0.020024032644988574, 0.14821481946703108, 0.14698077294761774, 0.08871600625236885, 0.026610225610831966, -0.11784766937394199, -0.07096735223150644, -0.11039541941517811, 0.07649725905360012, 0.2291196901809241, -0.008231904441643446, 0.13123360217227334, -0.29466706999867665, -0.061084692045801976, 0.07797100875893088, 0.16282726434196848, 0.16480578969950316, 0.00501494058484181, -0.29043085973893035, 0.12863360494985931, -0.2698563836270668, -0.10980132554722645, -0.1405111724285592, -0.07104161945095316, -0.07212001845607015, -0.3685603026285401, 0.045985739178131105, -0.06896051190617937, 0.0007899124237334691, 0.034497204830213526, -0.1525734018717633, -0.11299705021007017, 0.06752202023950513, 0.13998661135880613, 0.09466709083205731, 0.17798520196000206, -0.2444822982179772, -0.23622955927400102, 0.4372445267613702, -0.03420126976704866, -0.17288450111604495, 0.12592913150085044, -0.25923548056934886, -0.17079145101769294, 0.21171009017643136, 0.2642413032194409, 0.1257363538847965, -0.1810550455988736, 0.13288728003609604, 0.09374265378669332, 0.17425994751745927, 0.07375527243511598, 0.07961764611238442, 0.15933809607656155, 0.15008511943895309, -0.0415753709404256, 0.0719469044458686, -0.1051075549635914, -0.14595659952763407, -0.4784784962301005, -0.10557775915462951, -0.019916405450919123, 0.015856527719555088, -0.1322070145906764, -0.14499649803581663, 0.37636921467015244, 0.17875852761790156, 0.2681741374926489, 0.010119227417668358, 0.3814708045149436, 0.1106754674244153, 0.10847028882670232, 0.0705855596642636, 0.35829363438132844, 0.2074568544926702, 0.14924064719454064, -0.2647378407266052, -0.012476772180621008, 0.12857973262606587] |
1,802.02446 | Coupling between Spin and Charge Order Driven by Magnetic Field in
Triangular Ising System LuFe2O4+{\delta} | We present a study of the magnetic-field effect on spin correlations in the
charge ordered triangular Ising system LuFe2O4+{\delta} through single crystal
neutron diffraction. In the absence of a magnetic field, the strong diffuse
neutron scattering observed below the Neel temperature (TN = 240 K) indicates
that LuFe2O4+{\delta} shows short-range, two-dimensional (2D) correlations in
the FeO5 triangular layers, characterized by the development of a magnetic
scattering rod along the 1/3 1/3 L direction, persisting down to 5 K. We also
found that on top of the 2D correlations, a long range ferromagnetic component
associated with the propagation vector k1 = 0 sets in at around 240 K. On the
other hand, an external magnetic field applied along the c-axis effectively
favours a three-dimensional (3D) spin correlation between the FeO5 bilayers
evidenced by the increase of the intensity of satellite reflections with
propagation vector k2 = (1/3, 1/3, 3/2). This magnetic modulation is identical
to the charge ordered superstructure, highlighting the field-promoted coupling
between the spin and charge degrees of freedom. Formation of the 3D spin
correlations suppresses both the rod-type diffuse scattering and the k1
component. Simple symmetry-based arguments provide a natural explanation of the
observed phenomenon and put forward a possible charge redistribution in the
applied magnetic field.
| cond-mat.str-el cond-mat.mtrl-sci | we present a study of the magneticfield effect on spin correlations in the charge ordered triangular ising system lufe2o4delta through single crystal neutron diffraction in the absence of a magnetic field the strong diffuse neutron scattering observed below the neel temperature tn 240 k indicates that lufe2o4delta shows shortrange twodimensional 2d correlations in the feo5 triangular layers characterized by the development of a magnetic scattering rod along the 13 13 l direction persisting down to 5 k we also found that on top of the 2d correlations a long range ferromagnetic component associated with the propagation vector k1 0 sets in at around 240 k on the other hand an external magnetic field applied along the caxis effectively favours a threedimensional 3d spin correlation between the feo5 bilayers evidenced by the increase of the intensity of satellite reflections with propagation vector k2 13 13 32 this magnetic modulation is identical to the charge ordered superstructure highlighting the fieldpromoted coupling between the spin and charge degrees of freedom formation of the 3d spin correlations suppresses both the rodtype diffuse scattering and the k1 component simple symmetrybased arguments provide a natural explanation of the observed phenomenon and put forward a possible charge redistribution in the applied magnetic field | [['we', 'present', 'a', 'study', 'of', 'the', 'magneticfield', 'effect', 'on', 'spin', 'correlations', 'in', 'the', 'charge', 'ordered', 'triangular', 'ising', 'system', 'lufe2o4delta', 'through', 'single', 'crystal', 'neutron', 'diffraction', 'in', 'the', 'absence', 'of', 'a', 'magnetic', 'field', 'the', 'strong', 'diffuse', 'neutron', 'scattering', 'observed', 'below', 'the', 'neel', 'temperature', 'tn', '240', 'k', 'indicates', 'that', 'lufe2o4delta', 'shows', 'shortrange', 'twodimensional', '2d', 'correlations', 'in', 'the', 'feo5', 'triangular', 'layers', 'characterized', 'by', 'the', 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1,802.02447 | Field extensions, Derivations, and Matroids over Skew Hyperfields | We show that a field extension $K\subseteq L$ in positive characteristic $p$
and elements $x_e\in L$ for $e\in E$ gives rise to a matroid $M^\sigma$ on
ground set $E$ with coefficients in a certain skew hyperfield $L^\sigma$. This
skew hyperfield $L^\sigma$ is defined in terms of $L$ and its Frobenius action
$\sigma:x\mapsto x^p$. The matroid underlying $M^\sigma$ describes the
algebraic dependencies over $K$ among the $x_e\in L$ , and $M^\sigma$ itself
comprises, for each $m\in \mathbb{Z}^E$, the space of $K$-derivations of
$K\left(x_e^{p^{m_e}}: e\in E\right)$.
The theory of matroid representation over hyperfields was developed by Baker
and Bowler for commutative hyperfields. We partially extend their theory to
skew hyperfields. To prove the duality theorems we need, we use a new axiom
scheme in terms of quasi-Pl\"ucker coordinates.
| math.CO math.AG | we show that a field extension ksubseteq l in positive characteristic p and elements x_ein l for ein e gives rise to a matroid msigma on ground set e with coefficients in a certain skew hyperfield lsigma this skew hyperfield lsigma is defined in terms of l and its frobenius action sigmaxmapsto xp the matroid underlying msigma describes the algebraic dependencies over k among the x_ein l and msigma itself comprises for each min mathbbze the space of kderivations of kleftx_epm_e ein eright the theory of matroid representation over hyperfields was developed by baker and bowler for commutative hyperfields we partially extend their theory to skew hyperfields to prove the duality theorems we need we use a new axiom scheme in terms of quasiplucker coordinates | [['we', 'show', 'that', 'a', 'field', 'extension', 'ksubseteq', 'l', 'in', 'positive', 'characteristic', 'p', 'and', 'elements', 'x_ein', 'l', 'for', 'ein', 'e', 'gives', 'rise', 'to', 'a', 'matroid', 'msigma', 'on', 'ground', 'set', 'e', 'with', 'coefficients', 'in', 'a', 'certain', 'skew', 'hyperfield', 'lsigma', 'this', 'skew', 'hyperfield', 'lsigma', 'is', 'defined', 'in', 'terms', 'of', 'l', 'and', 'its', 'frobenius', 'action', 'sigmaxmapsto', 'xp', 'the', 'matroid', 'underlying', 'msigma', 'describes', 'the', 'algebraic', 'dependencies', 'over', 'k', 'among', 'the', 'x_ein', 'l', 'and', 'msigma', 'itself', 'comprises', 'for', 'each', 'min', 'mathbbze', 'the', 'space', 'of', 'kderivations', 'of', 'kleftx_epm_e', 'ein', 'eright', 'the', 'theory', 'of', 'matroid', 'representation', 'over', 'hyperfields', 'was', 'developed', 'by', 'baker', 'and', 'bowler', 'for', 'commutative', 'hyperfields', 'we', 'partially', 'extend', 'their', 'theory', 'to', 'skew', 'hyperfields', 'to', 'prove', 'the', 'duality', 'theorems', 'we', 'need', 'we', 'use', 'a', 'new', 'axiom', 'scheme', 'in', 'terms', 'of', 'quasiplucker', 'coordinates']] | [-0.21326601323633154, 0.06170453502958225, -0.08939451117776642, 0.0844979371128927, -0.11369717826158547, -0.1350341821666653, 0.023284401906238608, 0.3353104958049029, -0.3248103082580261, -0.20289855408058924, -0.0015563630185778876, -0.2508782006036259, -0.13576194795602856, 0.19181037118489092, -0.14705588069575076, -0.03890115453925153, -0.011212516431735197, 0.06820788762093452, -0.11343341275341501, -0.26548132639039645, 0.3319548829266232, -0.023483712083760124, 0.17221607173377387, 0.021182326866460054, 0.12294162163695643, 0.08956648634115527, -0.05137979013706781, 0.031222121312604323, -0.19181012662450161, 0.1190126145774237, 0.3029766981336019, 0.14923944330604916, 0.21162652330134402, -0.320040118033913, -0.1088121439261008, 0.1543428285493831, 0.08725607982347912, -0.02120109578240509, 0.05937378659694309, -0.24046681849055054, 0.1166848772559469, -0.19557009552690116, -0.12575634596061178, -0.036300275459392996, 0.13447894390445386, 0.014715862228565904, -0.2912924362361924, -0.018959636857717736, 0.1525304172445889, 0.14182263381840768, -0.05734772807706825, -0.14123335390684602, -0.023169091081031223, 0.03344038112496973, -0.04287131677366301, 0.11355337278420984, 0.06298020749914744, -0.034863599770402244, -0.11289913488998393, 0.33344124405344655, -0.07756538582149862, -0.1947411957296951, 0.1204742973560683, -0.17156023647990232, -0.13483677334190647, 0.0835126383236825, 0.08263366540108831, 0.09436085082067192, -0.037599768566568034, 0.2744583772968747, -0.16576889747213033, 0.08404092230326073, 0.08729051683898553, 0.003752512594661868, 0.15847889484822258, 0.02263860753544968, 0.07751306048536688, 0.11835343064066824, 0.013684117560436533, -0.019754335572866124, -0.3255149742111194, -0.1617302170739132, -0.09387926320345256, 0.14084911473241657, -0.10823838102000127, -0.16364561063660818, 0.336072826283797, 0.05883821957044242, 0.2063019334815812, 0.12573249780088047, 0.1929440695777043, 0.060810261905459836, 0.06139295256681248, 0.07581857939670247, 0.09918421546905494, 0.2625809273747958, 0.01726906981669397, -0.19365459845655345, 0.005667834469451076, 0.20512651485460234] |
1,802.02448 | Analytical Noise Bias Correction for Weak Lensing Shear Analysis with
ERA | Highly precise weak lensing shear measurement is required for statistical
weak gravitational lensing analysis such as cosmic shear measurement to achieve
severe constraint on the cosmological parameters. For this purpose, the
accurate shape measurement of background galaxies is absolutely important in
which any systematic error in the measurement should be carefully corrected.
One of the main systematic error comes from photon noise which is Poisson noise
of flux from the atmosphere(noise bias). We investigate how the photon noise
makes a systematic error in shear measurement within the framework of ERA
method we developed in earlier papers and gives a practical correction method.
The method is tested by simulations with real galaxy images with various
conditions and it is confirmed that it can correct $80 \sim 90\%$ of the noise
bias except for galaxies with very low signal to noise ratio.
| astro-ph.CO | highly precise weak lensing shear measurement is required for statistical weak gravitational lensing analysis such as cosmic shear measurement to achieve severe constraint on the cosmological parameters for this purpose the accurate shape measurement of background galaxies is absolutely important in which any systematic error in the measurement should be carefully corrected one of the main systematic error comes from photon noise which is poisson noise of flux from the atmospherenoise bias we investigate how the photon noise makes a systematic error in shear measurement within the framework of era method we developed in earlier papers and gives a practical correction method the method is tested by simulations with real galaxy images with various conditions and it is confirmed that it can correct 80 sim 90 of the noise bias except for galaxies with very low signal to noise ratio | [['highly', 'precise', 'weak', 'lensing', 'shear', 'measurement', 'is', 'required', 'for', 'statistical', 'weak', 'gravitational', 'lensing', 'analysis', 'such', 'as', 'cosmic', 'shear', 'measurement', 'to', 'achieve', 'severe', 'constraint', 'on', 'the', 'cosmological', 'parameters', 'for', 'this', 'purpose', 'the', 'accurate', 'shape', 'measurement', 'of', 'background', 'galaxies', 'is', 'absolutely', 'important', 'in', 'which', 'any', 'systematic', 'error', 'in', 'the', 'measurement', 'should', 'be', 'carefully', 'corrected', 'one', 'of', 'the', 'main', 'systematic', 'error', 'comes', 'from', 'photon', 'noise', 'which', 'is', 'poisson', 'noise', 'of', 'flux', 'from', 'the', 'atmospherenoise', 'bias', 'we', 'investigate', 'how', 'the', 'photon', 'noise', 'makes', 'a', 'systematic', 'error', 'in', 'shear', 'measurement', 'within', 'the', 'framework', 'of', 'era', 'method', 'we', 'developed', 'in', 'earlier', 'papers', 'and', 'gives', 'a', 'practical', 'correction', 'method', 'the', 'method', 'is', 'tested', 'by', 'simulations', 'with', 'real', 'galaxy', 'images', 'with', 'various', 'conditions', 'and', 'it', 'is', 'confirmed', 'that', 'it', 'can', 'correct', '80', 'sim', '90', 'of', 'the', 'noise', 'bias', 'except', 'for', 'galaxies', 'with', 'very', 'low', 'signal', 'to', 'noise', 'ratio']] | [-0.10125831035535326, 0.06293003405477825, -0.09866477732660531, 0.11284231782133738, -0.05045884589684738, -0.12105664131131104, 0.03120330623652545, 0.3674680487447077, -0.2072176438381078, -0.3560784679817424, 0.07510262828993632, -0.25784384601970584, -0.08528836582378625, 0.2343093773162515, -0.09113219660278007, 0.08940410465940082, 0.09381668510756341, -0.027693685743850557, -0.053540332477326, -0.2529788459349665, 0.2970298115740255, 0.15582447080946654, 0.28966744814282486, 0.0010339360074441638, 0.1116822506301105, -0.025002169905217003, -0.13027025210476822, 0.03631187674569355, -0.1280103817521096, 0.022174958091081796, 0.23371213107523106, 0.0832119695138749, 0.2523246961109769, -0.3344365436149922, -0.19301480832074186, 0.1182845190616338, 0.1127495260175532, 0.1762133068287839, -0.05831376456223401, -0.2961011588131245, 0.09942972765508504, -0.1453726328038376, -0.07227393922148098, -0.06028991345175468, -0.008911892589978982, -0.000883283917691639, -0.29301797181180267, 0.19513219164637513, 0.026962806268012243, 0.039734261378431494, -0.01374010269349213, -0.09148682647873815, 0.04205045737443398, 0.1147216820675652, 0.05480006752408398, 0.07150663882694977, 0.20037866994845782, -0.11309282990045202, -0.012019111861963925, 0.4048298245175279, -0.09351374232377722, -0.17763804178517445, 0.11738202851533676, -0.18070138910644615, -0.17984981259344507, 0.1604874261601312, 0.15179706375590332, 0.035672365034521696, -0.19307507005463215, 0.03508971591765671, 0.07940729162756273, 0.2152726492516214, 0.024662594232212405, 0.026250604883597647, 0.21228721386773122, 0.15468376091004704, 0.09501906220379064, 0.09858469078367536, -0.17775372451459387, 0.022469342460942943, -0.32794349083740587, -0.08846959926381878, -0.17290894405685178, 0.09497643833085492, -0.12868990510238984, -0.1533483032241008, 0.3582597264430399, 0.1926529782241304, 0.15925124196064316, 0.0507595374955789, 0.3887023387356199, 0.11359361629001796, 0.04075540670213832, 0.004475277374505246, 0.32966251298115196, 0.17345644147872336, 0.05538108843301671, -0.18325908844218516, 0.07020220596832391, -0.023761927036287114] |
1,802.02449 | Representation Theory of $\mathbb{Z}_2^{*n}$ | We study the representations of the group $\mathbb{Z}_2^{*n}$, the free
product of $\mathbb{Z}_2$ with itself $n$-times. We use the action of $B_n =
S_2 \wr S_n $ as algebra automorphisms on the group algebra
$\mathbb{C}(\mathbb{Z}_2^{*n})$ to find the components that contain simple
representations and to study smoothness of their GIT-quotients. In particular,
all the possible local quiver settings are studied for the component containing
the standard $n$-dimensional representation of $S_{n+1}$.
| math.RT math.AG math.GR | we study the representations of the group mathbbz_2n the free product of mathbbz_2 with itself ntimes we use the action of b_n s_2 wr s_n as algebra automorphisms on the group algebra mathbbcmathbbz_2n to find the components that contain simple representations and to study smoothness of their gitquotients in particular all the possible local quiver settings are studied for the component containing the standard ndimensional representation of s_n1 | [['we', 'study', 'the', 'representations', 'of', 'the', 'group', 'mathbbz_2n', 'the', 'free', 'product', 'of', 'mathbbz_2', 'with', 'itself', 'ntimes', 'we', 'use', 'the', 'action', 'of', 'b_n', 's_2', 'wr', 's_n', 'as', 'algebra', 'automorphisms', 'on', 'the', 'group', 'algebra', 'mathbbcmathbbz_2n', 'to', 'find', 'the', 'components', 'that', 'contain', 'simple', 'representations', 'and', 'to', 'study', 'smoothness', 'of', 'their', 'gitquotients', 'in', 'particular', 'all', 'the', 'possible', 'local', 'quiver', 'settings', 'are', 'studied', 'for', 'the', 'component', 'containing', 'the', 'standard', 'ndimensional', 'representation', 'of', 's_n1']] | [-0.15144436896792543, 0.09911172251467273, -0.046838297334902766, 0.00744029381937945, -0.09194197310760284, -0.0688022619891745, -0.04295298126317672, 0.39149409821674, -0.3253685629356708, -0.21157951590452176, 0.13078396505877765, -0.2790407058018357, -0.1398061529417008, 0.11610085649221245, -0.08728210761475919, -0.07817629267419897, 0.03807898029796223, 0.17782988335325647, -0.12874014732695477, -0.2748542871993424, 0.37752167838834116, -0.05331428594359044, 0.2380042415557068, -0.06202265324154452, 0.1005763022746863, 0.042662775465426274, -0.030730513181648593, -0.06347517551048033, -0.13076186648957908, 0.1321712467513645, 0.2285445263233981, 0.10806270051441753, 0.13782937379220306, -0.38906103038965767, -0.14613789718931736, 0.21739188863186917, 0.16567134606276654, -0.016067629749539184, -0.0278477733242395, -0.27393762072298067, 0.09745289121907372, -0.24421300936087187, -0.1194285460567074, -0.07196011506855043, 0.06613738684734302, -0.01974852037192114, -0.26090086359919895, 0.03520316422096829, 0.07159353775986985, 0.09960329009970623, -0.06583074971672091, -0.13476883382327967, -0.07236562046542097, 0.15936149210571798, 0.01601506292875578, 0.017475395737938694, 0.13282250619924335, -0.11998616260782217, -0.1261172011883846, 0.4187204376307886, -0.02601926726525399, -0.22906252639298674, 0.15468234449291407, -0.18500837101253556, -0.20013731907802954, 0.06224887162349673, 0.12715996248272263, 0.14150623164014586, -0.02826101769373488, 0.18816912913635903, -0.16080881277127052, 0.07335216447419084, 0.03847593889891434, 0.021479994308815073, 0.11709072513144407, 0.06529793728129077, 0.04013688223853051, 0.1525721023165023, 0.020500382731682552, -0.03669100747627915, -0.35742429554907246, -0.1802502502339767, -0.1235455585271815, 0.11001366574261616, -0.14161673983026457, -0.186764809275185, 0.4286838473383782, 0.10514456418745999, 0.1759671045075442, 0.08559960037914675, 0.1827465657478393, 0.062433178034444245, 0.12276726587564309, 0.05482317950687746, 0.05982659666785108, 0.21995494936578977, -0.09812822805217175, -0.19956494863631566, -0.042699933507299025, 0.18367911189613836] |
1,802.0245 | Latitudinal structure and dynamic of the photospheric magnetic field | Analysis of the structure and dynamics of the magnetic field of the Sun is
fundamental for understanding of the origin of solar activity and variability
as well as for the study of solar-terrestrial relations. Observations of the
large scale magnetic field in the photosphere taken at the Wilcox Solar
Observatory from 1976 up to 2007 have been analysed to deduce its latitudinal
and longitudinal structures, its differential rotation, and their variability
in time. This paper is dedicated to the analysis and dynamics of the
latitudinal structure of the solar magnetic field over three solar cycles 21,
22, 23. The main results discussed in this paper are the following: the large
scale latitudinal structure is antisymmetric and composed of four zones with
boundaries located at the equator, -25 and + 25 degrees, stable over 10-11
years with a time delay of about 5-6 years in near-equatorial zones. The
variability and North-South asymmetry of polarity waves running from the
equator to the poles with 2-3 - year period was studied in detail.
| astro-ph.SR physics.geo-ph physics.plasm-ph | analysis of the structure and dynamics of the magnetic field of the sun is fundamental for understanding of the origin of solar activity and variability as well as for the study of solarterrestrial relations observations of the large scale magnetic field in the photosphere taken at the wilcox solar observatory from 1976 up to 2007 have been analysed to deduce its latitudinal and longitudinal structures its differential rotation and their variability in time this paper is dedicated to the analysis and dynamics of the latitudinal structure of the solar magnetic field over three solar cycles 21 22 23 the main results discussed in this paper are the following the large scale latitudinal structure is antisymmetric and composed of four zones with boundaries located at the equator 25 and 25 degrees stable over 1011 years with a time delay of about 56 years in nearequatorial zones the variability and northsouth asymmetry of polarity waves running from the equator to the poles with 23 year period was studied in detail | [['analysis', 'of', 'the', 'structure', 'and', 'dynamics', 'of', 'the', 'magnetic', 'field', 'of', 'the', 'sun', 'is', 'fundamental', 'for', 'understanding', 'of', 'the', 'origin', 'of', 'solar', 'activity', 'and', 'variability', 'as', 'well', 'as', 'for', 'the', 'study', 'of', 'solarterrestrial', 'relations', 'observations', 'of', 'the', 'large', 'scale', 'magnetic', 'field', 'in', 'the', 'photosphere', 'taken', 'at', 'the', 'wilcox', 'solar', 'observatory', 'from', '1976', 'up', 'to', '2007', 'have', 'been', 'analysed', 'to', 'deduce', 'its', 'latitudinal', 'and', 'longitudinal', 'structures', 'its', 'differential', 'rotation', 'and', 'their', 'variability', 'in', 'time', 'this', 'paper', 'is', 'dedicated', 'to', 'the', 'analysis', 'and', 'dynamics', 'of', 'the', 'latitudinal', 'structure', 'of', 'the', 'solar', 'magnetic', 'field', 'over', 'three', 'solar', 'cycles', '21', '22', '23', 'the', 'main', 'results', 'discussed', 'in', 'this', 'paper', 'are', 'the', 'following', 'the', 'large', 'scale', 'latitudinal', 'structure', 'is', 'antisymmetric', 'and', 'composed', 'of', 'four', 'zones', 'with', 'boundaries', 'located', 'at', 'the', 'equator', '25', 'and', '25', 'degrees', 'stable', 'over', '1011', 'years', 'with', 'a', 'time', 'delay', 'of', 'about', '56', 'years', 'in', 'nearequatorial', 'zones', 'the', 'variability', 'and', 'northsouth', 'asymmetry', 'of', 'polarity', 'waves', 'running', 'from', 'the', 'equator', 'to', 'the', 'poles', 'with', '23', 'year', 'period', 'was', 'studied', 'in', 'detail']] | [-0.15278298608748064, 0.1645833344525835, -0.020594621775411985, 0.06579232358143643, -0.02643197848616789, 0.010218235603090198, 0.015351396138569163, 0.34451287185462814, -0.23584364888180667, -0.40679127875981586, 0.13929684826641842, -0.24912904086799936, -0.12127384270224, 0.20350220474869102, -0.025608243548222595, -0.02088779292049973, 0.04777592268718373, 0.01726185267658106, -0.024263380882551984, -0.21762901425522396, 0.2577609976412662, 0.09392123688407342, 0.21718036369808638, 0.017728054829474007, 0.08763437937540446, -0.06641042398266672, -0.07067317121549249, 0.008654441766252387, -0.08331925919143639, 0.0869535709165835, 0.19010220986646822, 0.0882336569969387, 0.21145561134714322, -0.4322073400696917, -0.18632411626943698, 0.01427449241358166, 0.11610933620804212, 0.017652960167089032, 0.010336407801722609, -0.24665780597188997, 0.06138024079666052, -0.10186555518192195, -0.17360235371909635, 0.046316068939631805, 0.10323822324599383, 0.012741778640442394, -0.20562009375031007, 0.08703833840055657, 0.02875312695271402, 0.19943949973787226, -0.11357948866844665, -0.10574531584833971, -0.06768165793896298, 0.1673282087126392, 0.12953760151313395, 0.06515985831183138, 0.11009473919070192, -0.07656308014009569, -0.09240365668665618, 0.38353009403328453, -0.09752559308738758, -0.043103434169010836, 0.179951796171649, -0.27241955478564794, -0.13447453729098752, 0.17558430712753242, 0.20778554485185027, 0.10247044083994947, -0.1422290713869318, 0.05690009867872244, -0.033775321507294266, 0.15051062266796916, 0.10514232511576709, 0.007897504976773191, 0.25409526623427936, 0.16809583249102747, 0.04454464905679093, 0.06709797897894446, -0.2270143643393004, -0.1097667150593008, -0.24424008341018288, -0.11244372161135766, -0.06266912365598339, 0.05507537644284423, -0.08141147251652521, -0.1184240894979753, 0.48228173105910954, 0.12982981005626199, 0.19377176919286804, -0.010499979901526655, 0.26783422843020943, 0.08109401752257586, 0.09071219792713237, 0.11302698981515798, 0.3119569496650781, 0.21054512939852948, 0.2135912479314443, -0.22800590734862322, 0.02240640989926067, 0.0205867263374828] |
1,802.02451 | A Novel Supergeometric Generalization of Grassmannians | A new generalization of Grassmannians to supergeometry, different from the
well known supergrassmannian, is introduced. These are constructed by gluing a
finite number of copies of a \nu\- domain, i.e. a superdomain with an odd
involution, say \nu\, on their structure sheaf considered as a sheaf of
C^\infty_{R^m}-modules.
| math.DG | a new generalization of grassmannians to supergeometry different from the well known supergrassmannian is introduced these are constructed by gluing a finite number of copies of a nu domain ie a superdomain with an odd involution say nu on their structure sheaf considered as a sheaf of cinfty_rmmodules | [['a', 'new', 'generalization', 'of', 'grassmannians', 'to', 'supergeometry', 'different', 'from', 'the', 'well', 'known', 'supergrassmannian', 'is', 'introduced', 'these', 'are', 'constructed', 'by', 'gluing', 'a', 'finite', 'number', 'of', 'copies', 'of', 'a', 'nu', 'domain', 'ie', 'a', 'superdomain', 'with', 'an', 'odd', 'involution', 'say', 'nu', 'on', 'their', 'structure', 'sheaf', 'considered', 'as', 'a', 'sheaf', 'of', 'cinfty_rmmodules']] | [-0.17911494634252914, 0.12433406410700433, -0.05538532038793919, 0.04750500644923762, -0.11634213734972984, -0.14889952652354507, -0.012816802697612885, 0.28468019856100385, -0.3335631745372047, -0.23993987921177054, 0.07980066450669411, -0.2148292045643989, -0.12502873665157785, 0.17012276956217087, -0.13746833810929526, 0.004333555282271923, -0.0006531354713630169, 0.11385098206711576, -0.06392751336890332, -0.23428514456634034, 0.40919355364476745, -0.02190469411459375, 0.22475838064255707, -0.010702863474317054, 0.12378460237201541, -0.010703373571580395, -0.049885778747340466, 0.021116570133636606, -0.12896871105074248, 0.10128433189969113, 0.2655915361928179, 0.054659581862072995, 0.19743284270504213, -0.3612757660052244, -0.14917951947117739, 0.15347940118319572, 0.1409006171978693, 0.014867987563001348, 0.0061725281585166426, -0.3027489486526936, 0.08430871215866918, -0.1940499775587244, -0.126911474203572, -0.08235007846490183, 0.05959685345953132, 0.021052981350333132, -0.26159167733226724, -0.05480812280934225, 0.0667435079639619, 0.11596254665222504, -0.03379678541913311, -0.166465616051821, -0.09912039632314538, 0.07103951054407244, -0.004007089699796857, 0.08948996043863132, 0.06977600570609595, -0.0873019383189843, -0.17664357587853644, 0.37199451195749833, -0.045152329270074024, -0.2883143410720724, 0.1380151969559015, -0.11171746116250436, -0.12712053772299847, 0.10195516783030743, 0.04842591656253059, 0.17284748402047664, -0.03640271059579236, 0.13374253558589422, -0.13157671917863983, 0.07427329490793512, 0.11936734132270546, 0.02849909736517262, 0.1747380815287854, 0.13586848192139866, 0.06351489434018731, 0.14381271937584622, -0.0012339003275128756, -0.025334691430660004, -0.37365077313114986, -0.17163264495816002, -0.1535105269323004, 0.1879308920036605, -0.0677947145292258, -0.20551044852571917, 0.3678657836577994, -0.0013073307283698245, 0.27048119042623553, 0.09643866553744103, 0.2327701617676289, 0.03271255907453993, 0.08639563270844519, 0.01266087233361372, 0.09095155352607687, 0.21115748614488922, -0.029748010478834522, -0.12217832511622816, -0.03774736199448717, 0.1693436512822642] |
1,802.02452 | Some Properties of Fibonacci-Sum Set-Graphs | In this paper we study some properties of Fibonacci-sum set-graphs. The
aforesaid graphs are an extension of the notion of Fibonacci-sum graphs to the
notion of set-graphs. The colouring of Fibonacci-sum graphs is also discussed.
A number of challenging research problems are posed in the conclusion.
| math.GM | in this paper we study some properties of fibonaccisum setgraphs the aforesaid graphs are an extension of the notion of fibonaccisum graphs to the notion of setgraphs the colouring of fibonaccisum graphs is also discussed a number of challenging research problems are posed in the conclusion | [['in', 'this', 'paper', 'we', 'study', 'some', 'properties', 'of', 'fibonaccisum', 'setgraphs', 'the', 'aforesaid', 'graphs', 'are', 'an', 'extension', 'of', 'the', 'notion', 'of', 'fibonaccisum', 'graphs', 'to', 'the', 'notion', 'of', 'setgraphs', 'the', 'colouring', 'of', 'fibonaccisum', 'graphs', 'is', 'also', 'discussed', 'a', 'number', 'of', 'challenging', 'research', 'problems', 'are', 'posed', 'in', 'the', 'conclusion']] | [-0.1978493581017297, 0.07880906421854414, -0.031777406182221093, 0.05493762147734347, -0.12582618245126112, -0.04148699398881391, -0.012822009924212065, 0.37289261745046015, -0.2711668706944455, -0.3220687418285271, 0.10773660716823423, -0.29466650973114633, -0.1824304960495995, 0.16298718981282867, -0.19057784834370503, 0.04461155777149226, 0.07405020340609, 0.05348087615414482, 0.0017337614123749993, -0.27468953403117863, 0.3530460553162772, 0.02968787524909915, 0.19444414270717814, 0.15507539803081233, 0.01790456702608777, -0.017172537713676043, -0.0406680252281544, 0.09424910795591447, -0.19311972546553158, 0.13964073823602952, 0.25706627033650875, 0.1828409385179048, 0.3002106212079525, -0.32185845281523856, -0.14362087504148646, 0.17825737674518125, 0.08144528540256231, 0.06433012032800395, -0.01343330485827249, -0.24054501608581, 0.11292565982464862, -0.1265377780503553, -0.14168288514180027, 0.017071864891635334, 0.04314074527634227, 0.015875943971838315, -0.18242345406147448, -0.01895515327708816, 0.15416300847478534, 0.07867592243153763, 0.0006806530341829942, -0.11686828534078339, 0.02766944648212065, 0.06166508695637078, 0.03258646034088958, -0.014833090072700186, 0.0011859372278432484, -0.15747206880326342, -0.19171856031955584, 0.3950148511516011, 0.05040780477144796, -0.187503985017943, 0.115234750808905, -0.09754069060411143, -0.252671868884531, 0.023732543872345403, 0.15488072201285674, 0.19139914012149625, -0.13795521555711393, 0.12093216640388836, -0.1619997728216138, 0.03986420925787609, 0.09471826309986088, 0.05847252787941176, 0.10763598812501067, 0.17942604082434074, 0.09508830879855415, 0.23917686880525688, 0.04995282540988663, -0.062346637026285345, -0.2931866898484852, -0.15220369844009046, -0.16296452700929798, 0.02016961592775972, -0.1024024710059166, -0.22541082865032164, 0.42847005330005905, 0.19284137342449115, 0.17056118743494153, 0.08002243780166558, 0.2045066989350902, 0.05175808201665464, -0.012191789953604988, 0.09060621544030374, 0.15610114577461703, 0.2335390858757107, 0.04750866414574177, -0.17114401528733256, 0.05389333395388625, 0.09887716748609977] |
1,802.02453 | A Posteriori Error Estimates for Non-Stationary Non-Linear
Convection-Diffusion Equations | Motivated by stochastic convection-diffusion problems we derive a posteriori
error estimates for non-stationary non-linear convection-diffusion equations
acting as a deterministic paradigm. The problem considered here neither fits
into the standard linear framework due to its non-linearity nor into the
standard non-linear framework due to the lacking differentiability of the
non-linearity. Particular attention is paid to the interplay of the various
parameters controlling the relative sizes of diffusion, convection, reaction,
and non-linearity (noise).
| math.NA | motivated by stochastic convectiondiffusion problems we derive a posteriori error estimates for nonstationary nonlinear convectiondiffusion equations acting as a deterministic paradigm the problem considered here neither fits into the standard linear framework due to its nonlinearity nor into the standard nonlinear framework due to the lacking differentiability of the nonlinearity particular attention is paid to the interplay of the various parameters controlling the relative sizes of diffusion convection reaction and nonlinearity noise | [['motivated', 'by', 'stochastic', 'convectiondiffusion', 'problems', 'we', 'derive', 'a', 'posteriori', 'error', 'estimates', 'for', 'nonstationary', 'nonlinear', 'convectiondiffusion', 'equations', 'acting', 'as', 'a', 'deterministic', 'paradigm', 'the', 'problem', 'considered', 'here', 'neither', 'fits', 'into', 'the', 'standard', 'linear', 'framework', 'due', 'to', 'its', 'nonlinearity', 'nor', 'into', 'the', 'standard', 'nonlinear', 'framework', 'due', 'to', 'the', 'lacking', 'differentiability', 'of', 'the', 'nonlinearity', 'particular', 'attention', 'is', 'paid', 'to', 'the', 'interplay', 'of', 'the', 'various', 'parameters', 'controlling', 'the', 'relative', 'sizes', 'of', 'diffusion', 'convection', 'reaction', 'and', 'nonlinearity', 'noise']] | [-0.06094244476278416, 0.03670203009258128, -0.016862275515854383, 0.09016082462848216, -0.13029852297364009, -0.1729866229967835, 0.02117887540306482, 0.2936659721243713, -0.3449437551737194, -0.24958356312062177, 0.12739801353179953, -0.21952889000789988, -0.16207348071556124, 0.2084882058649479, -0.08619295136304572, 0.13015882188321687, 0.016306098240117233, -0.06097955184264316, -0.04573341393067191, -0.1866398320869646, 0.3242926642091738, 0.02904339326131675, 0.26755738686188124, 0.018008747888315055, 0.13985434818702439, -0.04443781767945944, -0.06344814476970997, 0.00762023099943892, -0.14576782642850755, 0.11451420895981654, 0.19616318217271733, 0.036644387857652165, 0.37700669151834315, -0.4615861175504203, -0.2983055734981058, 0.1292746896053561, 0.0994186274114731, 0.12828891292317873, -0.05317539286463418, -0.2946848929083596, 0.005812658042284763, -0.12397390248305681, -0.11382264270246702, -0.050547879415615976, 0.006962437596586015, 0.03901006933948439, -0.32723595828024876, 0.12242158883923872, 0.13291989345503274, 0.006073474974578453, -0.09448561232905679, -0.07963662333269086, -0.0381049537956844, 0.07285950653668907, 0.05664009379041898, -0.0394437879630358, 0.09628674919561793, -0.141255306545645, -0.06496373275230224, 0.43229336391151363, -0.07389480218343022, -0.304022793761558, 0.14600640315459007, -0.06888651664161848, -0.06100890944233268, 0.1330504014557745, 0.2519978135306802, 0.10495430019525681, -0.1957660484670972, 0.1338848458181019, 0.03889469729943408, 0.17714348300230792, 0.030350911456884608, 0.018801686205228582, 0.08862151986815864, 0.20130051633330165, 0.08438330353237689, 0.11875083164260206, -0.05508661910749248, -0.1703472676066061, -0.3114535515455322, -0.06925849051266494, -0.14267016579267672, 0.054221477158029704, -0.10363578469110103, -0.19330210375806522, 0.3780951737296871, 0.13301108547279406, 0.15829246301048747, 0.0408079934034807, 0.30294530353017357, 0.21195560053294887, 0.0050889366474520005, 0.040107072974529326, 0.2539631992371546, 0.23431890194317223, 0.11608900973159406, -0.29230165924915735, 0.10668276790400139, 0.09179335154799952] |
1,802.02454 | Markov spectrum near Freiman's isolated points in $M\setminus L$ | Freiman proved in 1968 that the Lagrange and Markov spectra do not coincide
by exhibiting a countable infinite collection $\mathcal{F}$ of isolated points
of the Markov spectrum which do not belong the Lagrange spectrum.
In this paper, we describe the structure of the elements of the Markov
spectrum in the largest interval $(c_{\infty}, C_{\infty})$ containing
$\mathcal{F}$ and avoiding the Lagrange spectrum. In particular, we compute the
smallest known element $f$ of $M\setminus L$, and we show that the Hausdorff
dimension of the portion of the Markov spectrum between $c_{\infty}$ and
$C_{\infty}$ is $> 0.2628$.
| math.DS math.NT | freiman proved in 1968 that the lagrange and markov spectra do not coincide by exhibiting a countable infinite collection mathcalf of isolated points of the markov spectrum which do not belong the lagrange spectrum in this paper we describe the structure of the elements of the markov spectrum in the largest interval c_infty c_infty containing mathcalf and avoiding the lagrange spectrum in particular we compute the smallest known element f of msetminus l and we show that the hausdorff dimension of the portion of the markov spectrum between c_infty and c_infty is 02628 | [['freiman', 'proved', 'in', '1968', 'that', 'the', 'lagrange', 'and', 'markov', 'spectra', 'do', 'not', 'coincide', 'by', 'exhibiting', 'a', 'countable', 'infinite', 'collection', 'mathcalf', 'of', 'isolated', 'points', 'of', 'the', 'markov', 'spectrum', 'which', 'do', 'not', 'belong', 'the', 'lagrange', 'spectrum', 'in', 'this', 'paper', 'we', 'describe', 'the', 'structure', 'of', 'the', 'elements', 'of', 'the', 'markov', 'spectrum', 'in', 'the', 'largest', 'interval', 'c_infty', 'c_infty', 'containing', 'mathcalf', 'and', 'avoiding', 'the', 'lagrange', 'spectrum', 'in', 'particular', 'we', 'compute', 'the', 'smallest', 'known', 'element', 'f', 'of', 'msetminus', 'l', 'and', 'we', 'show', 'that', 'the', 'hausdorff', 'dimension', 'of', 'the', 'portion', 'of', 'the', 'markov', 'spectrum', 'between', 'c_infty', 'and', 'c_infty', 'is', '02628']] | [-0.16618656904598617, 0.12707690504359323, -0.03515907182641651, 0.0560086306852653, -0.05897077895528839, -0.07176629618397387, 0.03521823331475784, 0.3640702468059633, -0.31679092614871, -0.21206481472346123, 0.09814352898747133, -0.28383992280325165, -0.0764177218079567, 0.13613114715364014, -0.06126459218237711, 0.010093585572378841, 0.03415783783977689, 0.13034810721388645, -0.03954589336543628, -0.16575259993450067, 0.35732065081474895, 0.006240072457686714, 0.20631343960438087, -0.00764030165484418, 0.08643477512321071, -0.0007938146565878844, -0.024424885045332106, -0.002103884552564958, -0.1809193255013151, 0.09942802811122459, 0.25001302573060535, 0.12000117348962584, 0.23071009480222332, -0.31388567592543754, -0.17629801743390525, 0.24858452926475919, 0.14770064217483866, -0.004077414350594272, 0.036520807578673826, -0.24529554556204897, 0.13656673118796037, -0.1792833300221347, -0.15916348397023167, -0.004514511492427277, 0.03507974517086278, 0.03138308156200725, -0.23860342930002726, 0.018789219804128388, 0.152409872951229, 0.09544663778101296, -0.04265491853711074, -0.10932319089972778, -0.1136455750092864, 0.10575028646954983, -0.005309987188134666, -0.04092420987865847, 0.028861653697474496, -0.01928044623523222, -0.0994958170062012, 0.3545654439114277, -0.09373085946856957, -0.17872284209031775, 0.157261249103138, -0.22218168052621995, -0.20436080577580826, 0.16712652847332798, 0.08872606991992696, 0.1663917983001422, -0.07996743581442507, 0.2587116988370721, -0.10381627550510608, 0.14725633034401614, 0.096491042744753, 0.03694004106649157, 0.1294674329920267, 0.052223321112409314, 0.11005877776820537, 0.14054048134256963, -0.03863385348813608, -0.06389096292221676, -0.34252309519797564, -0.1533276287474386, -0.2368560290778987, 0.07164690538300657, -0.0642919455618223, -0.2707663001087697, 0.38139261145387654, 0.11910535896743607, 0.19711592564683245, 0.0846110368261377, 0.16596434274485902, 0.10671086656941992, 0.02360634257733498, 0.1213611900533104, 0.15392300781146015, 0.16696749380840312, 0.028083633864298463, -0.20214404442357709, 0.007651995113321945, 0.17379161713482894] |
1,802.02455 | Explaining a changeover from normal to super diffusion in time-dependent
billiards | The changeover from normal to super diffusion in time dependent billiards is
explained analytically. The unlimited energy growth for an ensemble of bouncing
particles in time dependent billiards is obtained by means of a two dimensional
mapping of the first and second moments of the velocity distribution function.
We prove that for low initial velocities the mean velocity of the ensemble
grows with exponent ~1/2 of the number of collisions with the border, therefore
exhibiting normal diffusion. Eventually, this regime changes to a faster growth
characterized by an exponent ~1 corresponding to super diffusion. For larger
initial velocities, the temporary symmetry in the diffusion of velocities
explains an initial plateau of the average velocity.
| nlin.CD | the changeover from normal to super diffusion in time dependent billiards is explained analytically the unlimited energy growth for an ensemble of bouncing particles in time dependent billiards is obtained by means of a two dimensional mapping of the first and second moments of the velocity distribution function we prove that for low initial velocities the mean velocity of the ensemble grows with exponent 12 of the number of collisions with the border therefore exhibiting normal diffusion eventually this regime changes to a faster growth characterized by an exponent 1 corresponding to super diffusion for larger initial velocities the temporary symmetry in the diffusion of velocities explains an initial plateau of the average velocity | [['the', 'changeover', 'from', 'normal', 'to', 'super', 'diffusion', 'in', 'time', 'dependent', 'billiards', 'is', 'explained', 'analytically', 'the', 'unlimited', 'energy', 'growth', 'for', 'an', 'ensemble', 'of', 'bouncing', 'particles', 'in', 'time', 'dependent', 'billiards', 'is', 'obtained', 'by', 'means', 'of', 'a', 'two', 'dimensional', 'mapping', 'of', 'the', 'first', 'and', 'second', 'moments', 'of', 'the', 'velocity', 'distribution', 'function', 'we', 'prove', 'that', 'for', 'low', 'initial', 'velocities', 'the', 'mean', 'velocity', 'of', 'the', 'ensemble', 'grows', 'with', 'exponent', '12', 'of', 'the', 'number', 'of', 'collisions', 'with', 'the', 'border', 'therefore', 'exhibiting', 'normal', 'diffusion', 'eventually', 'this', 'regime', 'changes', 'to', 'a', 'faster', 'growth', 'characterized', 'by', 'an', 'exponent', '1', 'corresponding', 'to', 'super', 'diffusion', 'for', 'larger', 'initial', 'velocities', 'the', 'temporary', 'symmetry', 'in', 'the', 'diffusion', 'of', 'velocities', 'explains', 'an', 'initial', 'plateau', 'of', 'the', 'average', 'velocity']] | [-0.1478046621678483, 0.2300425864077784, -0.10425483287932973, 0.03158973087250304, 0.003934922959990473, -0.09401122874400594, -0.010073038888278237, 0.32641443824232147, -0.3042196790900147, -0.2703317429945935, 0.07068937041147269, -0.2516243039710006, -0.0642386518435128, 0.17950228172795554, -0.010572249102487899, 0.040600829953817946, 0.005065952272464831, 0.06293312975066599, -0.0733077522967697, -0.2212125722915261, 0.3143339342102735, 0.06807196128852012, 0.27159301898229804, -0.016911263520198287, 0.11813227955676746, -0.01555025066338937, 0.005085094243680176, 0.03971420097565115, -0.16310429632932555, 0.08324893712855747, 0.12856735903238714, 0.033509849756547624, 0.25272941993745535, -0.3942610207095481, -0.20122394364392548, 0.07774490033880922, 0.19677769308582993, 0.11438025787815843, -0.0497528327038724, -0.2562420887733695, 0.031674490922963934, -0.14818365298407643, -0.24766649522312117, 0.01687132696245323, 0.09379322970645469, 0.055944056073489616, -0.28264077373763974, 0.198848015792145, 0.05486652788526395, 0.07456115789490898, -0.08834035911907752, -0.08326097685239163, -0.04004807880540427, 0.10060152255729854, 0.05509785310427935, -0.022857727527847153, 0.11049786247895099, -0.15696076463670275, -0.06759819624079555, 0.34218116911749047, -0.10330550309695434, -0.14695659955440646, 0.17941457721845885, -0.23158933486168584, -0.05298327258788049, 0.19681303447373866, 0.1723800745645636, 0.10856970018511147, -0.10240551888975397, 0.029868063277701782, 0.012561142317983404, 0.14502730343915654, 0.08668910218566134, -0.02889528208036433, 0.1595551159085804, 0.14972165921343522, 0.09630871169971661, 0.12117192041937654, -0.11936652925061553, -0.12372422791821391, -0.3038922791091496, -0.17560926153275527, -0.22655941596614165, 0.07679994024434372, -0.14796703752717963, -0.17027039232810862, 0.35707690253886476, 0.0939828137874301, 0.2776554180962736, 0.08248451368458438, 0.2333098255391968, 0.167845623314446, 0.04111538133829048, 0.11355598905458719, 0.2228417631336733, 0.11279648592850815, 0.11320922925471932, -0.2783963939590122, 0.08725678290060737, 0.052868025160390526] |
1,802.02456 | Ordinary $GL_2(F)$-representations in characteristic two via affine
Deligne-Lusztig constructions | The group $\GL_2$ over a local field with (residue) characteristic $2$
possesses much more smooth supercuspidal $\ell$-adic representations, than over
a local field of residue characteristic $> 2$. One way to construct these
representations is via the theory of types of Bushnell-Kutzko. We construct
many of them in the cohomology of certain extended affine Deligne-Lusztig
varieties attached to $\GL_2$ and wildly ramified maximal tori in it. Then we
compare our construction with the type-theoretic one. The corresponding
extended affine Deligne-Lusztig varieties were introduced in a preceding
article. Also in the present case they turn out to be zero-dimensional.
| math.AG math.RT | the group gl_2 over a local field with residue characteristic 2 possesses much more smooth supercuspidal elladic representations than over a local field of residue characteristic 2 one way to construct these representations is via the theory of types of bushnellkutzko we construct many of them in the cohomology of certain extended affine delignelusztig varieties attached to gl_2 and wildly ramified maximal tori in it then we compare our construction with the typetheoretic one the corresponding extended affine delignelusztig varieties were introduced in a preceding article also in the present case they turn out to be zerodimensional | [['the', 'group', 'gl_2', 'over', 'a', 'local', 'field', 'with', 'residue', 'characteristic', '2', 'possesses', 'much', 'more', 'smooth', 'supercuspidal', 'elladic', 'representations', 'than', 'over', 'a', 'local', 'field', 'of', 'residue', 'characteristic', '2', 'one', 'way', 'to', 'construct', 'these', 'representations', 'is', 'via', 'the', 'theory', 'of', 'types', 'of', 'bushnellkutzko', 'we', 'construct', 'many', 'of', 'them', 'in', 'the', 'cohomology', 'of', 'certain', 'extended', 'affine', 'delignelusztig', 'varieties', 'attached', 'to', 'gl_2', 'and', 'wildly', 'ramified', 'maximal', 'tori', 'in', 'it', 'then', 'we', 'compare', 'our', 'construction', 'with', 'the', 'typetheoretic', 'one', 'the', 'corresponding', 'extended', 'affine', 'delignelusztig', 'varieties', 'were', 'introduced', 'in', 'a', 'preceding', 'article', 'also', 'in', 'the', 'present', 'case', 'they', 'turn', 'out', 'to', 'be', 'zerodimensional']] | [-0.16279249992485628, 0.03788697031523418, -0.16932027638390584, 0.0737080842066921, -0.09877525628592397, -0.15176729902567476, -0.06480670778786514, 0.3217091954975706, -0.3490730373227258, -0.1929973342465525, 0.07301461314494462, -0.19073824987977206, -0.15933943278943524, 0.23626381986457662, -0.1309512679359501, -0.06659201672300696, -0.038332512578206884, 0.14099174089845, -0.09558277999257342, -0.37899046355724025, 0.40428212348890213, -0.050851747139174605, 0.21857844267194113, -0.036568090535661915, 0.06542768536769238, 0.028946935463235856, -0.026888023437836122, -0.03832009117378248, -0.11386780228619416, 0.18057816025330542, 0.38582416427484956, 0.03283614483805969, 0.19713262612115323, -0.4174422114972294, -0.16240740542692497, 0.23739754550696648, 0.14957895409315825, 0.06735784857121017, 0.022254752198482632, -0.2713601990463692, 0.11995414772656621, -0.21187549071463266, -0.1770731879628657, -0.0726605288530748, 0.0415120569091367, 0.0339460494092752, -0.20505088281136044, -0.024745144948366906, 0.06719593058061815, 0.18987844331362813, -0.09194504711104884, -0.0955418950455628, -0.025197114615422702, 0.04002581313540487, 0.009717735229060054, 0.06391630084589892, 0.1376965242694852, -0.12067254114963268, -0.09540574327975358, 0.3451571868367724, -0.0762976121006488, -0.2031020087612428, 0.17992841347946412, -0.16945904043032645, -0.14541405313120215, 0.1744791279239676, 0.0800260154856849, 0.16043505918465018, -0.01577156431704145, 0.14383214128806168, -0.14038805749276942, 0.05210612080367186, 0.10817880551186726, -0.016620813036030253, 0.1597144003266219, 0.04535591773227932, 0.05333010892602183, 0.1377138949477008, -0.018192637421625194, -0.05486079133547766, -0.34934629037131354, -0.18966769397807232, -0.02507686338953904, 0.14038023330540078, -0.07725748211879298, -0.14997500447633186, 0.47484854518522307, 0.11347274319988858, 0.18787454647256888, 0.1502026298188979, 0.1865030563719686, 0.05394453024035608, 0.11128995114380551, 0.03688359734381443, 0.1022103464701357, 0.22555948671231948, -0.06251832840186496, -0.10892285589253549, -0.059186997343354, 0.17415494648451657] |
1,802.02457 | Asymptotically Locally Euclidean/Kaluza-Klein Stationary Vacuum Black
Holes in 5 Dimensions | We produce new examples, both explicit and analytical, of bi-axisymmetric
stationary vacuum black holes in 5 dimensions. A novel feature of these
solutions is that they are asymptotically locally Euclidean in which spatial
cross-sections at infinity have lens space $L(p,q)$ topology, or asymptotically
Kaluza-Klein so that spatial cross-sections at infinity are topologically
$S^1\times S^2$. These are nondegenerate black holes of cohomogeneity 2, with
any number of horizon components, where the horizon cross-section topology is
any one of the three admissible types: $S^3$, $S^1\times S^2$, or $L(p,q)$.
Uniqueness of these solutions is also established. Our method is to solve the
relevant harmonic map problem with prescribed singularities, having target
symmetric space $SL(3,\mathbb{R})/SO(3)$. In addition, we analyze the
possibility of conical singularities and find a large family for which
geometric regularity is guaranteed.
| hep-th gr-qc math.DG | we produce new examples both explicit and analytical of biaxisymmetric stationary vacuum black holes in 5 dimensions a novel feature of these solutions is that they are asymptotically locally euclidean in which spatial crosssections at infinity have lens space lpq topology or asymptotically kaluzaklein so that spatial crosssections at infinity are topologically s1times s2 these are nondegenerate black holes of cohomogeneity 2 with any number of horizon components where the horizon crosssection topology is any one of the three admissible types s3 s1times s2 or lpq uniqueness of these solutions is also established our method is to solve the relevant harmonic map problem with prescribed singularities having target symmetric space sl3mathbbrso3 in addition we analyze the possibility of conical singularities and find a large family for which geometric regularity is guaranteed | [['we', 'produce', 'new', 'examples', 'both', 'explicit', 'and', 'analytical', 'of', 'biaxisymmetric', 'stationary', 'vacuum', 'black', 'holes', 'in', '5', 'dimensions', 'a', 'novel', 'feature', 'of', 'these', 'solutions', 'is', 'that', 'they', 'are', 'asymptotically', 'locally', 'euclidean', 'in', 'which', 'spatial', 'crosssections', 'at', 'infinity', 'have', 'lens', 'space', 'lpq', 'topology', 'or', 'asymptotically', 'kaluzaklein', 'so', 'that', 'spatial', 'crosssections', 'at', 'infinity', 'are', 'topologically', 's1times', 's2', 'these', 'are', 'nondegenerate', 'black', 'holes', 'of', 'cohomogeneity', '2', 'with', 'any', 'number', 'of', 'horizon', 'components', 'where', 'the', 'horizon', 'crosssection', 'topology', 'is', 'any', 'one', 'of', 'the', 'three', 'admissible', 'types', 's3', 's1times', 's2', 'or', 'lpq', 'uniqueness', 'of', 'these', 'solutions', 'is', 'also', 'established', 'our', 'method', 'is', 'to', 'solve', 'the', 'relevant', 'harmonic', 'map', 'problem', 'with', 'prescribed', 'singularities', 'having', 'target', 'symmetric', 'space', 'sl3mathbbrso3', 'in', 'addition', 'we', 'analyze', 'the', 'possibility', 'of', 'conical', 'singularities', 'and', 'find', 'a', 'large', 'family', 'for', 'which', 'geometric', 'regularity', 'is', 'guaranteed']] | [-0.17833730835780387, 0.10211785368351195, -0.053202343813165, 0.11503373916200468, -0.09224170735212513, -0.18170108489038153, -0.05605054142678739, 0.3683801456034638, -0.1953318431859708, -0.23978437014094744, 0.14816084681949684, -0.32340995034999176, -0.12493808035745875, 0.14359782022630213, -0.06732315257305407, 0.05873560868932347, 0.019748702997213784, 0.07511072519825387, -0.10009013606637063, -0.2773085923879656, 0.41287141879451755, -0.03720546619724909, 0.23906457458288616, 0.033135504987026845, 0.14170768995545377, -0.04522604125423912, 0.016137652407499842, 0.05624243080969687, -0.1831678089492231, 0.08939663729122094, 0.25823906044838313, 0.08772182400793349, 0.16020613931517563, -0.3956471431204153, -0.20720439930339807, 0.15925036172048396, 0.17403245259090575, 0.1035256902278465, -0.04599782299136615, -0.2694047191358022, 0.11811401359808013, -0.14036166525396113, -0.20256371138873333, -0.08095918918554565, 0.03277273473280077, 0.013777588138655397, -0.2170963722515766, 0.04510446331967628, 0.07463543309709271, -0.02433786292396884, -0.0924021738105034, -0.03885303063758912, -0.08655131183998332, 0.08991680240244355, 0.09493486534356217, 0.04887768462342956, 0.08451043186488895, -0.06485969767344134, -0.1235426863911384, 0.30739291047967104, -0.020389423108453514, -0.31216140543572773, 0.18561846002374727, -0.19499988784615435, -0.11587704701939214, 0.19349206507362368, 0.1407642476900502, 0.21467697059554366, -0.09037714247513591, 0.18118451401424232, -0.0411689410106997, 0.11799399319677152, 0.15738723428123666, 0.06598791218440951, 0.251084444879995, 0.08621378694456568, 0.1315327394563853, 0.11597399483612589, -0.07273658538478932, -0.08382656092876355, -0.3824860685085522, -0.15846284343114564, -0.13294312315424264, 0.12742437622758723, -0.19142667249441395, -0.19639617149213343, 0.32478281399519504, 0.02292201952041902, 0.20299746600896804, 0.08031440488212095, 0.24191918464686113, 0.049668914749543006, 0.009400231965003492, 0.11781162097481371, 0.2481705570479727, 0.06427553244291019, 0.026864957988603423, -0.1412944257355345, -0.07547699327346023, 0.14412377022192566] |
1,802.02458 | Group theoretical formulation of free fall and projectile motion | In this work we formulate the group theoretical description of free fall and
projectile motion. We show that the kinematic equations for constant
acceleration form a one parameter group acting on a phase space. We define the
group elements $\phi_t$ by their action on the points in the phase space. We
also generalize this approach to projectile motion. We evaluate the group
orbits regarding their relations to the physical orbits of particles and
unphysical solutions. We note that the group theoretical formulation does not
apply to more general cases involving a time dependent acceleration. This
method improves our understanding of the constant acceleration problem with its
global approach. It is especially beneficial for students who want to pursue a
career in theoretical physics.
| physics.gen-ph | in this work we formulate the group theoretical description of free fall and projectile motion we show that the kinematic equations for constant acceleration form a one parameter group acting on a phase space we define the group elements phi_t by their action on the points in the phase space we also generalize this approach to projectile motion we evaluate the group orbits regarding their relations to the physical orbits of particles and unphysical solutions we note that the group theoretical formulation does not apply to more general cases involving a time dependent acceleration this method improves our understanding of the constant acceleration problem with its global approach it is especially beneficial for students who want to pursue a career in theoretical physics | [['in', 'this', 'work', 'we', 'formulate', 'the', 'group', 'theoretical', 'description', 'of', 'free', 'fall', 'and', 'projectile', 'motion', 'we', 'show', 'that', 'the', 'kinematic', 'equations', 'for', 'constant', 'acceleration', 'form', 'a', 'one', 'parameter', 'group', 'acting', 'on', 'a', 'phase', 'space', 'we', 'define', 'the', 'group', 'elements', 'phi_t', 'by', 'their', 'action', 'on', 'the', 'points', 'in', 'the', 'phase', 'space', 'we', 'also', 'generalize', 'this', 'approach', 'to', 'projectile', 'motion', 'we', 'evaluate', 'the', 'group', 'orbits', 'regarding', 'their', 'relations', 'to', 'the', 'physical', 'orbits', 'of', 'particles', 'and', 'unphysical', 'solutions', 'we', 'note', 'that', 'the', 'group', 'theoretical', 'formulation', 'does', 'not', 'apply', 'to', 'more', 'general', 'cases', 'involving', 'a', 'time', 'dependent', 'acceleration', 'this', 'method', 'improves', 'our', 'understanding', 'of', 'the', 'constant', 'acceleration', 'problem', 'with', 'its', 'global', 'approach', 'it', 'is', 'especially', 'beneficial', 'for', 'students', 'who', 'want', 'to', 'pursue', 'a', 'career', 'in', 'theoretical', 'physics']] | [-0.11535830338716477, 0.11712743640248853, -0.15808548225559355, 0.06367944183047648, -0.1440380346806099, -0.08492536236706182, 0.0841092054118834, 0.3881861883389756, -0.2532430091092923, -0.29085940425094914, 0.038729141539197445, -0.23998623886864964, -0.149676512116642, 0.19190240444660914, -0.10167378236395799, 0.007475538913262781, 0.07199965381608685, 0.054548872470083394, -0.08328423034248313, -0.25119369638690014, 0.33355562614534445, 0.033987799807020075, 0.2275022430349202, 0.030264238995401475, 0.11031368686401141, 0.027050458977559234, -0.02267922061245616, 0.015189104617536763, -0.1628819438663162, 0.11800457318256632, 0.2141294528662068, 0.09673272772139407, 0.27625823312446596, -0.40315332819472965, -0.2096135163285989, 0.10504632770666868, 0.14074613813810596, 0.11866758039175737, -0.05729017869772378, -0.2683319420349307, 0.029701375504728497, -0.17930843934749927, -0.16428164740654308, -0.08872848106699625, 0.036908243408017766, -0.013908172900811202, -0.22599484478464213, 0.05476415583393461, 0.0652923543134901, 0.03407941708659253, -0.10932402817505919, -0.0802266923095501, 0.056369924963247484, 0.15531151165487245, 0.09024894584682051, 0.027887197317388968, 0.14427445510144882, -0.10818379474523415, -0.08341619770640765, 0.4444365961462017, -0.03308828159356565, -0.24735383357761836, 0.19307957174695603, -0.192392128432639, -0.1597571179831052, 0.07605689832546968, 0.20810583017281886, 0.1522282472039323, -0.10760037574114475, 0.10162427927068306, -0.049128128912269586, 0.12156413377043072, 0.0345604707055339, -0.015510212957037507, 0.13767853810838082, 0.1348095345973393, 0.0739427616136391, 0.060991103230877135, -0.014548793278456613, -0.0981221594507011, -0.338519164520066, -0.1790128201927717, -0.10165294319981845, 0.021132771117064717, -0.0623683532682433, -0.13618651932726303, 0.3939595415381851, 0.19601491539338245, 0.17888359688752428, 0.0641646156411919, 0.2651017169577895, 0.08774288482225795, 0.015080630222744331, 0.09380401791701835, 0.2262011652441347, 0.10879719791729457, 0.07098170114696269, -0.24281193250487368, 0.024359358077096504, 0.12383302421085687] |
1,802.02459 | Vortex Solution of the Gravitational Field Equation of a Twisted Skyrme
Strings | We construct non-linear sigma model plus Skyrme term (Skyrme model) with a
twist in the gravitational field. To simplify the solution, first we examine
non-linear sigma model without Skyrme term, in particular with a twist, which
comprises a vortex solution with an added dependence on a twist term $mkz$,
where $z$ is the vertical coordinate. We find that vortex solution for
non-linear sigma model with a twist is similar with vortex solution without a
twist. The work is still progress.
| gr-qc | we construct nonlinear sigma model plus skyrme term skyrme model with a twist in the gravitational field to simplify the solution first we examine nonlinear sigma model without skyrme term in particular with a twist which comprises a vortex solution with an added dependence on a twist term mkz where z is the vertical coordinate we find that vortex solution for nonlinear sigma model with a twist is similar with vortex solution without a twist the work is still progress | [['we', 'construct', 'nonlinear', 'sigma', 'model', 'plus', 'skyrme', 'term', 'skyrme', 'model', 'with', 'a', 'twist', 'in', 'the', 'gravitational', 'field', 'to', 'simplify', 'the', 'solution', 'first', 'we', 'examine', 'nonlinear', 'sigma', 'model', 'without', 'skyrme', 'term', 'in', 'particular', 'with', 'a', 'twist', 'which', 'comprises', 'a', 'vortex', 'solution', 'with', 'an', 'added', 'dependence', 'on', 'a', 'twist', 'term', 'mkz', 'where', 'z', 'is', 'the', 'vertical', 'coordinate', 'we', 'find', 'that', 'vortex', 'solution', 'for', 'nonlinear', 'sigma', 'model', 'with', 'a', 'twist', 'is', 'similar', 'with', 'vortex', 'solution', 'without', 'a', 'twist', 'the', 'work', 'is', 'still', 'progress']] | [-0.14471345152705908, 0.06679419658194093, -0.06830998318037018, 0.044708435861684846, -0.12330817286274395, -0.16774847152410075, -0.043012741929851474, 0.33256935044191777, -0.22886756597436034, -0.25648861604277046, 0.029968202189775184, -0.2729550354881212, -0.15815497073344886, 0.1045192962163128, 0.011816395448295224, 0.023699001898057757, 0.026994270947761835, 0.07610569873359055, -0.09218779687944334, -0.1880900066869799, 0.3369773412588984, 0.0013824291992932558, 0.22069147477159276, 0.0062212354969233274, 0.13206239804276265, -0.016254334745462985, 0.016382750554475932, 0.037735158916621006, -0.19048994444647177, 0.07248696404640213, 0.11537021746626124, -0.04593508891412057, 0.2186882444191724, -0.4508473480818793, -0.23623193468083628, 0.07094677612767555, 0.10593102743150666, 0.19679295716778142, -0.037089195098087654, -0.2278013450501021, 0.07256353941047564, -0.23810644960030913, -0.1936584361930727, -0.0923643070156686, 0.036144794007122984, 0.009260299243032932, -0.30439012343995275, 0.07721607284620405, 0.05967357917688787, 0.023109841649420558, -0.10732270410226193, -0.08196223579579964, -0.05022903728531673, 0.006804737227503211, 0.1203981827449752, 0.1853141496772878, 0.07170176915824414, -0.2504271054407582, -0.07472729033324868, 0.36705049194861206, -0.1348043673671782, -0.31222272089507896, 0.04384764135465957, -0.10543623705161735, -0.13882596996845678, 0.1318503097514622, 0.1325232209637761, 0.07604877422563731, -0.1264696473022923, 0.14392318235477433, -0.09477892044815235, 0.24765248171170243, 0.055325518874451515, -0.05959936678991653, 0.18750318695092574, 0.19697263449488672, 0.0835958897951059, 0.16719578941119834, -0.10969702675065492, -0.12743515719193965, -0.3912545529427007, -0.09028610704699531, -0.07131963305873797, 0.07271424154751002, -0.0633832352090394, -0.20715750301023944, 0.3934095069998875, 0.06585027155233547, 0.19260005603027822, 0.05708745798910968, 0.24410976723302155, 0.14455024995986604, 0.13655148575780912, 0.06918952174601145, 0.23587906963657587, 0.13074808112578468, 0.0832527762875543, -0.22972784791490994, -0.037192747031804176, 0.15566819310188293] |
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