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Mathematical Physics papers — page 23

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On determinantal formulas for hermitian random matrices
In this paper, we give a direct proof of determinantal formulas for connected k-point functions for hermitian matrix models. We also give a new proof of KP integrability for them. From the…
Di Yang, Jiayi Zhao, Jian ZhouJun 10, 2026
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Kohn-Sham models for encapsulated two-dimensional materials
We study Kohn-Sham Density Functional Theory (DFT) models describing the electronic structure of two-dimensional materials placed in a three-dimensional environment, encapsulated between two parallel…
Éric Cancès, David Gontier, Solal Perrin-RousselJun 10, 2026
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Foundations of Noncommutative Carrollian Geometry via Lie-Rinehart Pairs
Carrollian manifolds offer an intrinsic geometric framework for the physics in the ultra-relativistic limit. The recently introduced Carrollian Lie algebroids are generalised to the setting of…
Andrew James BruceJun 10, 2026
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Random matrices
We provide a self-contained introduction to random matrices. While some applications are mentioned, our main emphasis is on three different approaches to random matrix models: the Coulomb gas method…
Bertrand Eynard, Taro Kimura, Sylvain RibaultJun 10, 2026
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Thermodynamic coefficients in third-order relativistic fluid dynamics
We developed the third-order hydrodynamic equations using relativistic extended thermodynamics of gases with 14 independent fields. The resulting fluid equations are based on the relativity…
Teboho Abram Moloi, Azwinndini MurongaJun 9, 2026
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The Yang-Baxter Equation for the Chiral Potts Model and Integrable Parafermions
A new type of Yang-Baxter equation (YBE) for R-operators depending on three spectral parameters is constructed from the star-triangle relation for the chiral Potts model. As the ZN symmetric…
Zhao ZhangJun 9, 2026
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Nonlinear Anisotropic Visco-Anelasticity
We formulate a nonlinear geometric theory of visco-anelasticity that unifies viscoelastic and anelastic responses within a single thermodynamic framework. At each material point, the total…
Souhayl Sadik, Arash YavariJun 9, 2026
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Weighted least action principle for Maxwell equations
The Fermat principle of least time determines the path of a single ray of light given its initial and final positions and the medium electromagnetic properties. However, a single ray is not a…
Jacob Rubinstein, Gershon WolanskyJun 9, 2026
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Contact Tulczyjew Geometry for Continuous and Discrete Dissipative Dynamics on Skew Algebroids
We develop a contact Tulczyjew formalism for dissipative dynamics on skew algebroids. Starting from the Tulczyjew morphism of an skew algebroid, we identify its contact extension in a local…
Leonardo Colombo, Manuel de LeónJun 9, 2026
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Affine Supertrusses and Superbraces
Brzeziński's trusses are ``ring-like'' algebraic structures in which the addition is replaced with an abelian heap operation and the binary product satisfies a natural distributivity rule…
Andrew James BruceJun 9, 2026
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On the Leading Order Term of the Lattice Yang-Mills Free Energy
In Cha1, the leading order term of the free energy of U(N) lattice Yang-Mills theory in Λn=\0,…,n\d⊂ Zd was determined, for every N≥ 1 and d≥ 2.…
Christian BrenneckeJun 9, 2026
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Finitely Correlated States Driven by Topological Dynamics
Let (Ω, ¶) be a standard probability space and let :Ω Ω be a measure preserving ergodic homeomorphism. Let A be a C*-algebra with a unit and let…
Eric B. Roon, Jeffrey H. SchenkerJun 9, 2026
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Lie Superheaps and their Groupification
We introduce the notion of a Lie superheaps as a generalisation of Lie supergroups. We show that the well-known `groupification' and `heapification' functors generalise to the ambience of…
Andrew James BruceJun 9, 2026
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Okamoto's symmetry on the representation space of the sixth Painlevé equation
The sixth Painlevé equation (PVI) admits dual isomonodromy representations of type 2-dimensional Fuchsian and 3-dimensional Birkhoff. Taking the multiplicative middle convolution of a Teichmüller…
Davide Dal MartelloJun 9, 2026
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Classical Heun observables and elliptic solvability
We introduce a classical analog of the algebraic Heun operator associated with a classical Leonard pair. Given two observables X and Y satisfying the classical counterpart of the Askey--Wilson…
Luc Vinet, Alexei ZhedanovJun 9, 2026
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Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model
We study a quasi-product state associated with the one-dimensional hard-core Gibbs measure. After coding the model by the topological Markov chain, we construct the standard path AF-algebra of…
Farrukh Mukhamedov, Yuri SuhovJun 8, 2026
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No-Go Theorem for BEC in the Nelson and Pauli--Fierz Models
We construct KMS states for the Nelson model, the spinless Pauli--Fierz model, and the Pauli--Fierz model with spin by functional integral representations, and study point-source models after removal…
Yoshitsugu SekineJun 8, 2026
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On an n-Dimensional Travel Time Tomography Problem
In their seminal works Herglotz (1905) and Wiechert and Zoeppritz (1907) have solved the so-called Travel Time Tomography Problem (TTTP) in the 1-D case. However, the question about stability…
Michael V. KlibanovJun 8, 2026
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Symmetry Regularization of 1D Generalized Coulomb Problems
For the 1D generalized Coulomb problems--a family that includes the quantizations of the 1D generalized Kepler problems of Ma-Meng-Xiao MMX2025--we construct two explicit unitary intertwiners…
Zhanqiang Bai, Junwei Ma, Guowu MengJun 8, 2026
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BV pushforward as a quasi-isomorphism
Given a BV theory on a space of fields split into two subspaces ("infrared" and "ultraviolet"), one has the BV pushforward map P*, sending observables to observables of the…
Alberto S. Cattaneo, Pavel MnevJun 8, 2026
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Two Approximate Solutions of the Ornstein-Zernike (OZ) Integral Equation
This thesis explores the evolution of liquid-state theories based on the Ornstein-Zernike (OZ) equation, summarizing the foundational methods developed by Baxter, Lebowitz, Wertheim, and others. A…
Jianzhong WuJun 8, 2026
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A short proof of confinement in three-dimensional lattice gauge theories with a central U(1)
Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional U(1) lattice gauge theory with Villain action was…
Sourav ChatterjeeJun 8, 2026
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Spectral fluctuations and crossovers in multilayer network
We investigate spectral fluctuations in multilayer networks within the random matrix theory (RMT) framework to characterize universal and non-universal features. The adjacency matrix of a multilayer…
Himanshu Shekhar, Ashutosh Dheer, Santosh Kumar et al.Jun 8, 2026
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Clapeyron-type theorems in nonlinear elasticity
Clapeyron's Theorem of classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the…
Yury Grabovsky, Lev TruskinovskyJun 7, 2026
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Elastodynamics from a variational standpoint: integral equalities and inequalities
As it is well known, solutions of equations of nonlinear elastodynamics, representing extremals of the action functional, can form shocks. We adapt the classical approach of Emmy Noether to such…
Yury Grabovsky, Lev TruskinovskyJun 7, 2026
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