On the thermal relaxation of a dense gas described by the modified Enskog equation in a closed system in contact with a heat bathThe thermal relaxation of a dense gas described by the modified Enskog equation is studied for a closed system in contact with a heat bath. As in the case of the Boltzmann equation, the Helmholtz…Shigeru Takata·May 19, 2023SaveLearn
Non-Linear Operator-valued Elliptic Flows with Application to Quantum Field TheoryDifferential equations on spaces of operators are very little developed in Mathematics, being in general very challenging. Here, we study a novel system of such (non-linear) differential equations.…Jean-Bernard Bru, Nathan Metraud·May 18, 2023SaveLearn
Fully nonlinear gravitational instabilities for expanding spherical symmetric Newtonian universes with inhomogeneous density and pressureNobel Prize laureate P.J.E. Peebles [24] has emphasized the importance and difficulties of studying the large scale clustering of matter in cosmology. Nonlinear gravitational instability plays a…Chao Liu·May 18, 2023SaveLearn
Nodal decompositions of a symmetric matrixAnalyzing nodal domains is a way to discern the structure of eigenvectors of operators on a graph. We give a new definition extending the concept of nodal domains to arbitrary signed graphs, and…Theo McKenzie, John Urschel·May 17, 2023SaveLearn
Asymptotic equivalence of a subclass of WCLT non degenerate GKSL generatorWe prove the assymptotic equivalence of a sequence of block diagonal matrices with Toeplitz blocks. The blocks are the principal submatrices of an originating Toeplitz sequence with generating symbol…Jorge R. Bolaños-Servín·May 17, 2023SaveLearn
Quantum, classical symmetries and action-angle variables by factorization of superintegrable systemsThe purpose of this work is to present a method based on the factorizations used in one dimensional quantum mechanics in order to find the symmetries of quantum and classical superintegrable systems…Şengül Kuru, Javier Negro, Sergio Salamanca·May 17, 2023SaveLearn
Point particle E-modelsWe show that the same algebraic data that permit to construct the Lax pair and the r-matrix of an integrable non-linear σ-model in 1+1 dimensions can be also used for the construction of…Ctirad Klimcik·May 16, 2023SaveLearn
Lie symmetry classification for the 1+1 and 1+2 generalized Zoomeron equationsWe present a complete algebraic classification of the Lie symmetries for generalized Zoomeron equations. For the generalized 1+1 and 2+1 Zoomeron equations we solve the Lie symmetry conditions in…Andronikos Paliathanasis, P. G. L. Leach·May 16, 2023SaveLearn
Diffraction measures and patterns of the complex dimensions of self-similar fractal strings. I. The lattice caseWe give a generalization of Lagarias' formula for diffraction by ideal crystals, and we apply it to the lattice case, in preparation for addressing the problem of quasicrystals and complex dimensions…Michel L. Lapidus, Machiel van Frankenhuijsen, Edward K. Voskanian·May 15, 2023SaveLearn
Coefficients of almost-degenerate density matrix perturbation theory for eigenvalue problemsWe investigate almost-degenerate perturbation theory of eigenvalue problems, using spectral projectors, also named density matrices. When several eigenvalues are close to each other, the coefficients…Charles Arnal, Louis Garrigue·May 15, 2023SaveLearn
Eigenvalues of truncated unitary matrices: disk counting statisticsLet T be an n× n truncation of an (n+α)× (n+α) Haar distributed unitary matrix. We consider the disk counting statistics of the eigenvalues of T. We prove that as $n +…Yacin Ameur, Christophe Charlier, Philippe Moreillon·May 15, 2023SaveLearn
Renormalization of Higher Currents of the sine-Gordon Model in pAQFTIn this paper we show that the higher currents of the sine-Gordon model are super-renormalizable by power counting in the framework of pAQFT. First we obtain closed recursive formulas for the higher…Fabrizio Zanello·May 15, 2023SaveLearn
A mathematical analysis of the adiabatic Dyson equation from time-dependent density functional theoryIn this article, we analyze the Dyson equation for the density-density response function (DDRF) that plays a central role in linear response time-dependent density functional theory (LR-TDDFT).…Thiago Carvalho Corso·May 15, 2023SaveLearn
Loop Vertex Representation for Cumulants, Part I: Bounds on Free Energy with SourcesIn this paper we construct cumulants for stable random matrix models with single trace interactions of arbitrarily high even order. We obtain explicit and convergent expansions for it and we prove…Vincent Rivasseau·May 15, 2023SaveLearn
A multipoint perturbation formula for eigenvalue problemsStandard perturbation theory of eigenvalue problems consists of obtaining approximations of eigenmodes in the neighborhood of an operator where the corresponding eigenmode is known. Nevertheless, if…Geneviève Dusson, Louis Garrigue, Benjamin Stamm·May 14, 2023SaveLearn
N=2 supersymmetric structures on classical W-algebrasWe describe an N=2 supersymmetric Poisson vertex algebra structure of N=1 (resp. N=0) classical W-algebra associated with sl(n+1|n) and the odd (resp. even) principal nilpotent…Eric Ragoucy, Arim Song, Uhi Rinn Suh·May 14, 2023SaveLearn
Eckart equations, Maxwellian iteration and Relativistic Causal Theories of Divergence typeWe consider a general causal relativistic theory of divergence type in the framework of Rational Extended Thermodynamics (RET) for a compressible, possibly dense, gas. We require that the system…Tommaso Ruggeri·May 14, 2023SaveLearn
A C*-Algebraic Approach to Parametrized Quantum Spin Systems and Their Phases in One Spatial DimensionThis thesis investigates parametrized quantum spin systems in the thermodynamic limit from a C*-algebraic point of view. Our main physical result is the construction of a phase invariant for…Daniel D. Spiegel·May 13, 2023SaveLearn
Integration on minimal Z22-superspace and emergence of spaceWe investigate the possibilities of integration on the minimal Z22-superspace. Two definitions are taken from the works by Poncin and Schouten and we examine their generalizations. It is…N. Aizawa, Ren Ito·May 13, 2023SaveLearn
Effective Action in Free ProbabilityRecent works have explored relations between classical and quantum statistical physics on the one hand and Voiculescu's theory of free probability on the other. Motivated by these results, the…Kurusch Ebrahimi-Fard, Frederic Patras·May 12, 2023SaveLearn
Hydrodynamic traffic flow models including random accidents: A kinetic derivationWe present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential…Felisia Angela Chiarello, Simone Göttlich, Thomas Schilliger et al.·May 11, 2023SaveLearn
Conservation laws of mean field games equationsMean field games equations are examined for conservation laws. The system of mean field games equations consists of two partial differential equations: the Hamilton-Jacobi-Bellman equation for the…Roman Kozlov·May 11, 2023SaveLearn
Partial separability and symplectic-Haantjes manifoldsA theory of partial separability for classical Hamiltonian systems is proposed in the context of Haantjes geometry. As a general result, we show that the knowledge of a non-semisimple…Daniel Reyes, Piergiulio Tempesta, Giorgio Tondo·May 11, 2023SaveLearn
Integrability propagation for a Boltzmann system describing polyatomic gas mixturesThis paper explores the Lp Lebesgue's integrability propagation, p∈(1,∞], of a system of space homogeneous Boltzmann equations modelling a multi-component mixture of polyatomic gases…Ricardo Alonso, Milana Pavić-Čolić·May 11, 2023SaveLearn
Renormalized Bogoliubov Theory for the Nelson ModelWe consider the time evolution of the renormalized Nelson model, which describes N bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles N 1 with…Marco Falconi, Jonas Lampart, Nikolai Leopold et al.·May 11, 2023SaveLearn