Integration on q-Cosymplectic ManifoldsThis paper presents a unified framework for studying dynamics and integration on q-cosymplectic manifolds. After outlining the geometric foundations of q-cosymplectic structures, we derive new…M. Leok, C. Sardón, X. Zhao·Sep 20, 2025SaveLearn
p-adic dynamical systems for p-adic λ-models on the Cayley treesWe review and propose to use of associated dynamical system to explore the phase transition phenomena in p-adic statistical mechanics setting, by means of the renormalization techniques. Main focus…Farrukh Mukhamedov, Otabek Khakimov·Sep 19, 2025SaveLearn
An easier way to compute 2-cocycles coming from a reduction for semidirect productsFor Hamiltonian actions of semidirect products G=F H, we study 2-cocycles arising from residual Hamiltonian actions of F on Hamiltonian reductions for H. The motivation comes from the…Viacheslav Goncharov·Sep 19, 2025SaveLearn
Classical first passage problems for p-adic stochastic processesIn this paper we present a comprehensive analysis of the solution of the classical problem of finding the distribution density of a random variable - the first passage time to a given domain by the…A. Kh. Bikulov, A. P. Zubarev·Sep 19, 2025SaveLearn
Counting Degrees of Freedom: A Method Applicable from Scalars to f(Q) Gravity and BeyondWe present a clear, step-by-step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan,…Lavinia Heisenberg·Sep 19, 2025SaveLearn
Spontaneous stochasticity in the Armstrong-Vicol passive scalarSpontaneous stochasticity refers to the emergence of intrinsic randomness in deterministic systems under singular limits, a phenomenon conjectured to be fundamental in turbulence. Armstrong and Vicol…Wandrille Ruffenach, Eric Simonnet, Nicolas Valade·Sep 19, 2025SaveLearn
Twist fields in many-body physicsThe notion of twist fields has played a fundamental role in many-body physics. It is used to construct the so-called disorder parameter for the study of phase transitions in the classical Ising model…Benjamin Doyon·Sep 18, 2025SaveLearn
Scattering for time periodic Hamiltonians on graphsWe develop a scattering theory for time-periodic Hamiltonians on discrete graphs, including long-range potentials with zero average for the period, and show the existence and completeness of wave…Hiroshi Isozaki, Evgeny, L. Korotyaev·Sep 18, 2025SaveLearn
Is a Dissipative System Always a Gradient System or a Gradient Like System?We find that to the dynamics of a given dissipative system a p=1 differential form can be associated with a general decomposition into a potential term and a non-potential residual part. If the…Rafael Rangel·Sep 17, 2025SaveLearn
Adiabatic Klein-Gordon Dynamics for the Renormalized Nelson ModelWe study the renormalized Nelson model in a semiclassical regime where the field becomes classical while the particle remains quantum. The degree of classicality is measured by a small parameter…Morris Brooks, David Mitrouskas·Sep 17, 2025SaveLearn
GUE-corners process in two-periodic Aztec diamondsLinks between uniform Aztec diamonds and random matrices are numerous in the literature. In particular johansson2006eigenvalues,Forrester established that, under correct rescaling, the…Nicolas Robert, Philippe Ruelle·Sep 17, 2025SaveLearn
Full counting statistics for twisted XXX spin chainsFull counting statistics for an arbitrary spin operator is considered for the twisted XXX spin one-half chain. We use the quantum inverse scattering formalism and the modified algebraic Bethe ansatz…S. Belliard, A. Hutsalyuk·Sep 17, 2025SaveLearn
Three-dimensional ghost-free representations of the Pais-Uhlenbeck model from Tri-HamiltoniansWe present a detailed analysis of the sixth-order Pais-Uhlenbeck oscillator and construct three-dimensional ghost-free representations through a Tri-Hamiltonian framework. We identify a…Alexander Felski, Andreas Fring, Bethan Turner·Sep 17, 2025SaveLearn
Metastable transition times of the 1D dynamical sine-Gordon modelWe study the dynamics of a stochastic heat equation with γ(β u) nonlinearity on one-dimensional torus. We show an Eyring--Kramers law for the jump rate between potential wells in the…Petri Laarne·Sep 17, 2025SaveLearn
The Laplacian with complex magnetic fieldsWe study the two-dimensional magnetic Laplacian when the magnetic field is allowed to be complex-valued. Under the assumption that the imaginary part of the magnetic potential is relatively…David Krejcirik, Tho Nguyen Duc, Nicolas Raymond·Sep 17, 2025SaveLearn
DGLA Actions: An Application in GRThis note serves two purposes: 1) define actions by differential graded Lie algebras, and 2) apply such differential graded Lie symmetry in general relativity (GR) to constrain the spacetime geometry…Ryan Grady·Sep 16, 2025SaveLearn
Higher Abelian Quantum Double ModelsThis paper develops a rigorous C*-algebraic framework for higher abelian quantum double models, generalizing Kitaev's construction to simplicial complexes of arbitrary finite dimension and…Jorge Acuña Flores, Giuseppe De Nittis, Javier Lorca Espiro·Sep 16, 2025SaveLearn
Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing statesWe consider dissipative Schroedinger operators of the form H=-+V(x) on L2( R3), with V(x) a complex, bounded and decaying potential with a non-positive imaginary part. We prove a…A. Alexander, J. Faupin, S. Richard·Sep 16, 2025SaveLearn
Topological Levinson's theorem and corrections at thresholds: the full picture in a quasi-1D exampleVarious threshold effects are investigated on a discrete quasi-1D scattering system. In particular, one of these effects is to add corrections to Levinson's theorem. We explain how these corrections…T. T. Nguyen, D. Parra, S. Richard·Sep 16, 2025SaveLearn
Projective limits in Euclidean quantum field theory, I: Free scalar fieldsWe present two constructions of projective systems of measures associated to discretizations of free scalar Euclidean quantum fields. The first one is obtained using only purely combinatorial data…Svetoslav Zahariev·Sep 15, 2025SaveLearn
A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants IIIn this article, we continue the development of the Riemann-Hilbert formalism for studying the asymptotics of Toeplitz+Hankel determinants with non-identical symbols, which we initiated in GI.…Roozbeh Gharakhloo, Alexander Its·Sep 15, 2025SaveLearn
Canonical and Canonoid transformations for Hamiltonian systems on locally conformal symplectic manifoldsThis paper is focused on the development of the notions of canonical and canonoid transformations within the framework of Hamiltonian Mechanics on locally conformal symplectic manifolds. Both,…Rafael Azuaje, Xuefeng Zhao·Sep 15, 2025SaveLearn
On enumeration of l-hypermapsThe l-hypermaps, l2, which generalize (dual of) ribbon graphs (l=2 case), are interesting enumerative objects. In this paper, based on a theorem of Carlet--van de Leur--Posthuma--Shadrin and…Zhengfei Huang, Di Yang·Sep 15, 2025SaveLearn
Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limitsWe continue the work of Belliard, Pimenta and Slavnov (2024) studying the modified rational six vertex model. We find another formula of the partition function for the inhomogeneous model, in terms…Matthieu Cornillault, Samuel Belliard·Sep 15, 2025SaveLearn
Reconstructing wind fields from gravitational data on gas giants: An investigation of mathematical methodsThe atmospheric structure of gas giants, especially those of Jupiter and Saturn, has been an object of scientific studies for a long time. The measurement of the gravitational fields by the Juno…Tim-Jonas Peter, Volker Michel, Franz-Theo Suttmeier et al.·Sep 15, 2025SaveLearn