Stability Estimates for Some Parabolic Inverse Problems With the Final Overdetermination via a New Carleman EstimateThis paper is about Holder and Lipschitz stability estimates and uniqueness theorems for some coefficient inverse problems and associated inverse source problems for a general linear parabolic…Michael V. Klibanov·Jan 23, 2023SaveLearn
Decay of Entropy and Information for multidimensional Kac modelsWe study the approach to equilibrium of systems of gas particles in terms of relative entropy. The systems are modeled by the Kac master equation in arbitrary dimensions. First, we study the Kac…Lukas Hauger·Jan 23, 2023SaveLearn
An evolution model for polygonal tessellations as models for crack networks and other natural patternsWe introduce and study a general framework for modeling the evolution of crack networks. The evolution steps are triggered by exponential clocks corresponding to local micro-events, and thus reflect…Péter Bálint, Gábor Domokos, Krisztina Regős·Jan 23, 2023SaveLearn
Power spectra and autocovariances of level spacings beyond the Dyson conjectureIntroduced in the early days of random matrix theory, the autocovariances δ Ijk= cov(sj, sj+k) of level spacings \sj\ accommodate a detailed information on correlations between…Roman Riser, Peng Tian, Eugene Kanzieper·Jan 23, 2023SaveLearn
Generalized virial theorem for contact Hamiltonian systemsWe formulate and study a generalized virial theorem for contact Hamiltonian systems. Such systems describe mechanical systems in the presence of simple dissipative forces such as Rayleigh friction,…Aritra Ghosh·Jan 23, 2023SaveLearn
Hooke and Coulomn Energy of Tripod SpidersTripod spiders are the simplest examples of arachnoid mechanisms. Their workspaces and configuration spaces are well known. For Hooke potential, we give a complete description of the Morse theory and…Giorgi Khimshiashvili, Dirk Siersma·Jan 23, 2023SaveLearn
Koenigs Theorem and Superintegrable Liouville MetricsIn a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.Galliano Valent·Jan 22, 2023SaveLearn
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type modelsThree geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, and one utilizing an…William Barham, Philip J. Morrison, Eric Sonnendrücker·Jan 20, 2023SaveLearn
Spectral Asymptotics of Elliptic Operators on ManifoldsThe study of spectral properties of natural geometric elliptic partial differential operators acting on smooth sections of vector bundles over Riemannian manifolds is a central theme in global…Ivan G. Avramidi·Jan 20, 2023SaveLearn
Symmetries in non-relativistic quantum electrodynamicsWe define symmetries in non-relativistic quantum electrodynamics, which have the physical interpretation of rotation, parity and time reversal symmetry. We collect transformation properties related…David Hasler, Markus Lange·Jan 20, 2023SaveLearn
On Poincar\'e-Birkhoff-Witt basis of quantum general linear superalgebraWe give a detailed derivation of the commutation relations for the Poincar\'e--Birkhoff--Witt generators of the quantum superalgebra Uq(glM|N).A. V. Razumov·Jan 20, 2023SaveLearn
Continuum Kinematics with Incompatible-Compatible DecompositionAbstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric…Vladimir Goldshtein, Paolo Maria Mariano, Domenico Mucci et al.·Jan 20, 2023SaveLearn
Generalized Lie Symmetries and Almost Regular Lagrangians: A Link Between Symmetry and DynamicsThe generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the evolution of dynamical systems is determined. It is found that if the action has a generalized Lie…Achilles D. Speliotopoulos·Jan 20, 2023SaveLearn
A critical survey of twisted spectral triples beyond the Standard ModelWe review the applications of twisted spectral triples to the Standard Model. The initial motivation was to generate a scalar field, required to stabilise the electroweak vacuum and fit the Higgs…Manuele Filaci, Pierre Martinetti·Jan 19, 2023SaveLearn
Almost optimal upper bound for the ground state energy of a dilute Fermi gas via cluster expansionWe prove an upper bound on the energy density of the dilute spin-12 Fermi gas capturing the leading correction to the kinetic energy 8π a _ with an error of…Asbjørn Bækgaard Lauritsen·Jan 19, 2023SaveLearn
A metriplectic formulation of polarized radiative transferWe present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of…Vincent Bosboom, Michael Kraus, Matthias Schlottbom·Jan 18, 2023SaveLearn
Integral representation of superoscillations via complex Borel measures and their convergenceIn the last decade there has been a growing interest in superoscillations in various fields of mathematics, physics and engineering. However, while in applications as optics the local oscillatory…Jussi Behrndt, Fabrizio Colombo, Peter Schlosser et al.·Jan 18, 2023SaveLearn
Kittel's molecular zipper model on Cayley treesKittel's 1D model represents a natural DNA with two strands as a (molecular) zipper, which may separated as the temperature is varied. We define multidimensional version of this model on a Cayley…U. A. Rozikov·Jan 18, 2023SaveLearn
A continuum limit for dense spatial networksMany physical systems -- such as optical waveguide lattices and dense neuronal or vascular networks -- can be modeled by metric graphs, where slender "wires" (edges) support wave or diffusion…Sidney Holden, Geoffrey Vasil·Jan 17, 2023SaveLearn
A generalized index theory for non-Hamiltonian systemMorse index theory provides an elegant and useful tool for describing several aspects of a Lagrangian system in terms of its variational properties. In the classical framework it provides an equality…Alessandro Portaluri, Li Wu, Ran Yang·Jan 17, 2023SaveLearn
On Araki's extension of the Jordan-Wigner transformationIn his seminal paper [1], Araki introduced an elegant extension of the Jordan-Wigner transformation which establishes a precise connection between quantum spin systems and Fermi lattice gases in one…Walter H. Aschbacher·Jan 17, 2023SaveLearn
Reflection Structures and Spin Statistics in Low DimensionsWe give a complete classification of topological field theories with reflection structure and spin-statistics in one and two spacetime dimensions. Our answers can be naturally expressed in terms of…Lukas Müller, Luuk Stehouwer·Jan 17, 2023SaveLearn
Statistical Topology -- Distribution and Density Correlations of Winding Numbers in Chiral SystemsStatistical Topology emerged since topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic…Thomas Guhr·Jan 16, 2023SaveLearn
Open Quadratic Fermion Systems and Algebras of Affine TransformationsWe study evolution of open quadratic fermion systems in the framework of the quantum Markovian semigroup approach. We show that the algebra concerning commutators of Liouvillians for systems of…Hiroshi Tamura·Jan 15, 2023SaveLearn
Knots from the random matrix theory with a replicaA classical knot is described by a one-stroke trajectory with entanglements of a string. The replica method appears as a powerful tool in statistical mechanics for a polymer or self-avoiding walk. We…Shinobu Hikami·Jan 15, 2023SaveLearn