Deformations and q-convolutions. Old and new resultsThis paper is the survey of some of our results related to q-deformations of the Fock spaces and related to q-convolutions for probability measures on the real line R. The main idea is…Marek Bozejko, Wojciech Bozejko·Nov 10, 2023SaveLearn
Beris-Edwards Models on Evolving Surfaces: A Lagrange-D'Alembert ApproachUsing the Lagrange-D'Alembert principle we develop thermodynamically consistent surface Beris-Edwards models. These models couple viscous inextensible surface flow with a Landau-de Gennes-Helfrich…Ingo Nitschke, Axel Voigt·Nov 10, 2023SaveLearn
Z2 classification of FTR symmetric differential operators and obstruction to Anderson localizationThis paper concerns the Z2 classification of Fermionic Time-Reversal (FTR) symmetric partial differential Hamiltonians on the Euclidean plane. We consider the setting of two insulators…Guillaume Bal, Zhongjian Wang·Nov 10, 2023SaveLearn
Quasi-Gramian Solution of a Noncommutative Extension of the Higher-Order Nonlinear Schr\"odinger EquationThe nonlinear Schr\"oodinger (NLS) equation, which incorporates higher-order dispersive terms, is widely employed in the theoretical analysis of various physical phenomena. In this study, we…H. W. A. Riaz, J. Lin·Nov 10, 2023SaveLearn
Discrete Dynamics and SupergeometryWe formulate a geometric measurement theory of dynamical classical systems possessing both continuous and discrete degrees of freedom. The approach is covariant with respect to choices of clocks and…Subhobrata Chatterjee, Andrew Waldron, Cem Yetişmişoğlu·Nov 9, 2023SaveLearn
A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein CondensateIn the Bogoliubov-Fr\"ohlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of…Benjamin Hinrichs, Jonas Lampart·Nov 9, 2023SaveLearn
The uniform structure of g 4We obtain a uniform decomposition into Casimir eigenspaces (most of which are irreducible) of the fourth power of the adjoint representation g 4 for all simple Lie algebras. We…Maneh Avetisyan, Alexey Isaev, Sergey Krivonos et al.·Nov 9, 2023SaveLearn
Investigation of the dynamics of transverse oscillations of a vertical rod under gravity, friction, and thermal expansionThe paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal expansion of the…E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva et al.·Nov 9, 2023SaveLearn
Origin of Symmetry Breaking in the Grasshopper ModelThe planar grasshopper problem, originally introduced in (Goulko & Kent 2017 Proc. R. Soc. A 473, 20170494), is a striking example of a model with long-range isotropic interactions whose ground…David Llamas, Jaron Kent-Dobias, Kun Chen et al.·Nov 8, 2023SaveLearn
A crossed module representation of a 2-group constructed from the 3-loop group 3 GThe quantization of chiral fermions on a 3-manifold in an external gauge potential is known to lead to an abelian extension of the gauge group. In this article we concentrate on the case of $3…Jouko Mickelsson·Nov 8, 2023SaveLearn
Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motionsAll non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions G4(N). The potentials of the…V. V. Obukhov, S. V. Chervon, D. V. Kartashov·Nov 8, 2023SaveLearn
Stochastic quantization of two-dimensional P() Quantum Field TheoryWe give a simple and self-contained construction of of the P() Euclidean Quantum Field Theory in the plane and verify the Osterwalder-Schrader axioms: translational and rotational invariance,…Paweł Duch, Wojciech Dybalski, Azam Jahandideh·Nov 7, 2023SaveLearn
Baxter Q-operator for the hyperbolic Calogero--Moser systemWe introduce a Q-operator Qz for the hyperbolic Calogero--Moser system as a one-parameter family of explicit integral operators. We establish the standard properties of a Q-operator,…Martin Hallnäs·Nov 7, 2023SaveLearn
Superized Leznov-Saveliev equations as the zero-curvature condition on a reduced connectionThe equations of open 2-dimensional Toda lattice (TL) correspond to Leznov-Saveliev equations (LSE) interpreted as zero-curvature Yang-Mills equations on the variety of O(3)-orbits on the Minkowski…Dimitry Leites·Nov 7, 2023SaveLearn
A midsurface elasticity model for a thin, nonlinear, gradient elastic plateIn this paper, we derive a dynamic surface elasticity model for the two-dimensional midsurface of a thin, three-dimensional, homogeneous, isotropic, nonlinear gradient elastic plate of thickness h.…C. Rodriguez·Nov 7, 2023SaveLearn
The steady state of the boundary-driven multiparticle asymmetric diffusion modelWe consider the multiparticle asymmetric diffusion model (MADM) introduced by Sasamoto and Wadati with integrability preserving reservoirs at the boundaries. In contrast to the open asymmetric simple…Rouven Frassek, István M. Szécsényi·Nov 6, 2023SaveLearn
λ-Griffiths polynomials: Bispectrality and biorthogonalityWe introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter λ. These λ-Griffiths polynomials are bivariate, bispectral and biorthogonal. For…N. Crampe, L. Frappat, J. Gaboriaud et al.·Nov 6, 2023SaveLearn
Generalized integrals and point interactionsFirst we recall a method of computing scalar products of eigenfunctions of a Sturm-Liouville operator. This method is then applied to Macdonald and Gegenbauer functions, which are eigenfunctions of…Jan Dereziński, Christian Gaß, Błażej Ruba·Nov 6, 2023SaveLearn
Properties of the Biot-Savart operator acting on surface currentsWe investigate properties of the image and kernel of the Biot-Savart operator in the context of stellarator designs for plasma fusion. We first show that for any given coil winding surface (CWS) the…Wadim Gerner·Nov 6, 2023SaveLearn
Oscillator Algebra of Chiral OscillatorFor the chiral oscillator described by a second order and degenerate Lagrangian with special Euclidean group of symmetries, we show, by cotangent bundle Hamiltonian reduction, that reduced equations…H. Gümral·Nov 5, 2023SaveLearn
Two types of Witten zeta functionsWe define two types of Witten's zeta functions according to Cartan's classification of compact symmetric spaces. The type II is the original Witten zeta function constructed by means of irreducible…Andrey Levin, Mikhail Olshanetsky·Nov 5, 2023SaveLearn
Non-local relativistic δ-shell interactionsIn this paper, new self-adjoint realizations of the Dirac operator in dimension two and three are introduced. It is shown that they may be associated with the formal expression…Lukáš Heriban, Matěj Tušek·Nov 5, 2023SaveLearn
Implicit Nonholonomic Mechanics with CollisionsIn this paper, variational techniques are used to analyze the dynamics of nonholonomic mechanical systems with impacts. Implicit nonholonomic smooth Lagrangian and Hamiltonian systems are extended to…Álvaro Rodríguez Abella, Leonardo Colombo·Nov 5, 2023SaveLearn
Topological defectsThis is a survey article for the Encyclopedia of Mathematical Physics, 2nd Edition. Topological defects are described in the context of the 2-dimensional Ising model on the lattice, in 2-dimensional…Nils Carqueville, Michele Del Zotto, Ingo Runkel·Nov 4, 2023SaveLearn
Solutions of the tt*-equations constructed from the SU(2)k-fusion ring, and Smyth potentialsCecotti and Vafa introduced the tt*-equation (topological-antitopological fusion equation), whose solutions describe massive deformations of supersymmetric conformal field theories. We describe some…Tadashi Udagawa·Nov 4, 2023SaveLearn