Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field RevisitedFollowing the work of Deift and Zhou (DOI:10.1007/978-1-4615-2474-815), we analyze the long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic…Noah Hout, Kenta Miyahara, Dustin Newland et al.·Jun 23, 2026SaveLearn
On the Berry-Keating OperatorWe review here two different viewpoints on the Berry-Keating operator HBK, whose connection to the Riemann hypothesis remains an intriguing and not yet fully understood question, despite…Fabio Bagarello, Sergiusz Kużel·Jun 23, 2026SaveLearn
Morse momentum wavefunctions and rational functionsWe revisit the bound states of the Morse potential in the momentum representation. After the ground-state factor is extracted, the remaining factors are finite rational functions of the momentum…Luc Vinet, Alexei Zhedanov·Jun 23, 2026SaveLearn
Typical geometry of self-repelling polymers in a constant force fieldWe study a general class of self-repelling polymers on Z2, including the simple random walk, the self-avoiding walk and the repulsive Domb-Joyce model, in the presence of a constant force…Kamil Khettabi, Yvan Velenik·Jun 23, 2026SaveLearn
A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low TemperaturesIn this work, a convergent low-temperature cluster expansion of the one-dimensional long-range ferromagnetic Ising model with polynomial decay α∈ (1,2] is developed; that is, J(r)=r-α. As an…Rodrigo Bissacot, Henrique Corsini·Jun 23, 2026SaveLearn
Degeneration limits of Virasoro vertex operators and Painlevé tau functionsWe construct degeneration limits of vertex operators for the Virasoro algebra. Our method relies on the rearranged expansion of compositions of vertex operators together with their integral…Hajime Nagoya, Haruki Nakagawa·Jun 23, 2026SaveLearn
Global observables in statistical mechanicsWe present a canonical construction of global observables -- sometimes referred to in the literature as macroscopic observables or observables at infinity -- in statistical mechanics, providing a…C. J. F. van de Ven·Jun 23, 2026SaveLearn
Fusion in the periodic Temperley-Lieb algebra: general definition of a bifunctorThe periodic Temperley-Lieb category consists of connectivity diagrams drawn on a ring with N and N' nodes on the outer and inner boundary, respectively. We consider families of modules,…Yacine Ikhlef, Alexi Morin-Duchesne·Jun 23, 2026SaveLearn
Weyl orbit particlesThe mass spectrum of affine Toda theory is known to be expressible in terms of a suitable eigenvector of the relevant Cartan matrix. The particles correspond in a precise manner to the Coxeter…Martin T. Luu·Jun 22, 2026SaveLearn
Position-Space Renormalization and Half-Space Truncations in ϕ44In this paper, we study half-space observables in the massive Euclidean ϕ44 theory. We prove that the renormalized correlators can be multiplied by half-space truncations without requiring any…Majdouline Borji·Jun 22, 2026SaveLearn
Which Waveguide Network Realizes a Prescribed Transmission Profile? An Exact Forward ConstructionWe introduce an analytically invertible framework for wavefront construction based on the scattering properties of periodic waveguide networks governed by a gauge-shifted Helmholtz operator. By…Tristan M. Lawrie·Jun 22, 2026SaveLearn
Cantor Spectrum via a Reducibility-Duality Bridge for the Mosaic Almost Mathieu OperatorWe study the mosaic Almost Mathieu operator, a quasiperiodic model that naturally admits a singular strip-Jacobi representation. By establishing a duality framework and extending the correspondence…Jiawei He, Yuan Shan, Yongjian Wang·Jun 22, 2026SaveLearn
Jacobi exceptional orthogonal polynomials for extended Scarf I potentials with position-dependent massWe show that the Scarf I potential problem in a position-dependent mass background of the type m(α;x) = (1 + α x)-2, 0<α<1, can be solved by using a point canonical transformation mapping…Christiane Quesne·Jun 22, 2026SaveLearn
Statistical Physics of Planar Carroll SystemsIn this article, we define and study the statistical physics of planar Carrollian systems. While it has been shown recently that, for general dimensions, the Carroll limit of Poincaré statistical…Fei Huang, Loïc Marsot·Jun 22, 2026SaveLearn
Compatible Lie conformal bialgebrasWe introduce and study compatible Lie conformal bialgebras as conformal counterparts of compatible Lie bialgebras. Such a structure consists of two compatible Lie conformal brackets and two…Lamei Yuan, Jiansen Zhao·Jun 22, 2026SaveLearn
Why Hadamard states?In quantum field theory on curved spacetime, and in locally-covariant quantum field theory, the Hadamard condition is often presented as a necessary condition on 'physically reasonable'…Eleanor March·Jun 22, 2026SaveLearn
Classical Symmetry TFTs for Continuous Symmetries via Higher Symplectic GeometryWe propose a shifted-symplectic formulation of a classical continuous analogue of the symmetry TFT paradigm. Let G be an algebraic or Lie group acting by topological defects on an n-dimensional…Hao Xu·Jun 22, 2026SaveLearn
Lorentz-boosted diffusion: initial value formulation and exact solutionsIt is well known that the diffusion equation, when treated as a stand-alone partial differential equation, exhibits exponential instabilities in boosted frames, which render the corresponding…Lorenzo Gavassino·Jun 22, 2026SaveLearn
On the analog of the Kolmogorov-Arnold superposition representation for continuous functions of several p-adic variablesIt is shown that any continuous function depending on several p-adic variables, each of which is defined on Zp, can be represented as a superposition of continuous functions of one…Alexander P. Zubarev·Jun 22, 2026SaveLearn
Localized oscillation of an Euler--Bernoulli beam with time-varying parameters on a visco-elastic foundation: asymptotics, adiabatic invariant, and equivalent Hamiltonian systemWe consider localized oscillation of an Euler--Bernoulli beam on a visco-elastic foundation coupled to a damped discrete oscillator. All parameters of the system independently vary in time in a slow…Ekaterina V. Shishkina, Serge N. Gavrilov, Yulia A. Mochalova·Jun 21, 2026SaveLearn
Singular barriers and quartic integrability breaking in the TTW systemWe study the competition between resonance-induced integrability breaking and centrifugal confinement in a symmetric quartic deformation of the classical k=1 Tremblay--Turbiner--Winternitz (TTW)…Adrian M. Escobar Ruiz, Miguel E. Gómez Quintanar, Lidia Jiménez-Lara et al.·Jun 21, 2026SaveLearn
Stability of oscillations in the spatially extended May-Leonard modelThe May-Leonard model for three competing species, symmetric with respect to cyclic permutation of the variables and extended by diffusive terms, is considered. Exact time-periodic solutions of the…Idan Sorin, Alexander Nepomnyashchy, Vladimir Volpert·Jun 21, 2026SaveLearn
Level lines of the Gaussian free field and c=1 degenerate conformal blocksWe consider Gaussian free field (GFF) on simply connected domains with piecewise constant Dirichlet boundary data. We show that the crossing probabilities for its level lines are determined by…Alex Karrila, Eveliina Peltola, Lukas Schoug·Jun 20, 2026SaveLearn
Electromagnetic Characterization of Magnetic Bar: Case of Square Cross-Section ShapeThis paper presents a complete two-dimensional theoretical model for the electromagnetic behavior of square-section solid magnetic bars under sinusoidal loading. Through the application of…Taha El Hajji, Bruno Ricardo Marques, Lars Sjöberg·Jun 20, 2026SaveLearn
The asymmetric five vertex model on a rectangleWe derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard non-intersecting…Jan de Gier, Richard Kenyon, Michael Wheeler et al.·Jun 20, 2026SaveLearn