Universal correlations in the Abelian sandpile modelWe numerically study the bulk correlation functions in the two-dimensional Abelian sandpile model, aiming both to compare with the predictions of logarithmic conformal field theory and to extend the…Qiyu Liu, Jan-Niklas Herre, Prajit Baruah et al.·Sep 9, 2026SaveLearn
Euler-Poincare Reduction: A Geometric Treatment of the Relativistic Spinning ParticleThe heavy top is a classic example of Euler-Poincare reduction on a semidirect product group, demonstrating how an advected quantity-the direction of gravity-couples to rotational motion. While the…Burak Gul, O. Teoman Turgut·Sep 9, 2026SaveLearn
Wasserstein Stability, Couplings Across Volumes, and the 1+1/d Moment Thresholds in the Edwards--Anderson ModelWe study the quenched pressure of the nearest-neighbor Edwards--Anderson Ising model with free and periodic boundary conditions. First, we prove that the infinite-volume pressure is βd-Lipschitz in…Mauris Chueng, Hexiang Wang, Keheng Zhu·Sep 9, 2026SaveLearn
Counterexamples to GNS Conjecture 1.8We disprove both parts of Conjecture 1.8 of Gabrielov, Novikov, and Shapiro (GNS). For the Coulomb potential, a generic rational configuration of 24 unit charges in R3 has at least 18…Xiuqing Duan·Sep 9, 2026SaveLearn
Hadamard--Tetrahedral Symmetric Spacetime and Clifford-Like Factorizations of Dirac and Maxwell OperatorsA symmetric representation of Minkowski spacetime is constructed by combining a normalized fourth-order Hadamard transformation with an imaginary temporal coordinate. The resulting complex…Farhad Aghili·Sep 9, 2026SaveLearn
Bargmann-Fock Representation and Global Estimates for the Linearized Hard-Sphere Boltzmann OperatorWe study the linearized Boltzmann collision operator for three-dimensional hard spheres and reorganize the complete operator so that its angular and radial structures are explicit before any Sonine…Ilya Karlin·Sep 9, 2026SaveLearn
Fermionic quantum cellular automata in 2d are trivialFermionic quantum cellular automata (QCA) are automorphisms of local fermionic operator algebras ( Z2-graded superalgebras) that have bounded spread: they map local operators to nearby…Jeffrey Kwan, David M. Long, Jeongwan Haah·Sep 8, 2026SaveLearn
On spatial decoherence in many-body systemsWe study the dynamics of a many-body quantum system strongly interacting with a bosonic reservoir. The coupling is given by a potential operator for the system and it is linear in the field. We show…Stefano Marcantoni, Marco Merkli·Sep 8, 2026SaveLearn
The phase coordinates transformation in Moyal noncommutative framework 2-dimensional harmonic oscillator and Painlevé second equationThis work aims to explore the physical application of Moyal noncom- mutative formalism with the the presentation of new transformations which connect the old canonical coordinates to purly…Irfan Mahmood·Sep 8, 2026SaveLearn
Arithmetic triangular structures in the transfer-matrix of finite Kronig-Penney modelsThis work provides a complete analytical characterization of the transfer- matrix structure associated with the finite Kronig-Penney model consisting of one-dimensional arrays of Dirac delta…Lidia Aceto, Pietro Antonio Grassi, Helmuth Robert Malonek·Sep 8, 2026SaveLearn
Asymptotics of Ground States for Helium-Like and Bosonic Atoms in a Two-Cluster RegionWe study the asymptotic behavior of positive ground states of N-particle atomic Coulomb Hamiltonians in a two-cluster region. For the N-particle ground state ψ, its one-particle density ρ,…Yukimi Goto·Sep 8, 2026SaveLearn
Energy diffusion in a pinned harmonic chain with free boundary condition and interactions of increasing rangeWe consider a finite two-dimensional pinned harmonic chain with an interaction range that diverges with the system size and with conservative rotational noise. Under a joint scaling in which the…Yipeng Lu, Wei Wang·Sep 8, 2026SaveLearn
Equation of Motion for Thermodynamic Systems and Their Dynamical Equivalence with Mechanical and Electrical SystemsChanges in the internal energy of a thermodynamic system are fundamentally described by the first law of thermodynamics. However, the first law has a highly compact form that does not explicitly…E Aydiner·Sep 7, 2026SaveLearn
Classification of Conformally Covariant 2-Tensors from the Kulkarni--Nomizu Product in Dimension 4We classify all natural, conformally covariant, symmetric (0,2)-tensors of conformal weight -2 and differential order less than or equal to 4 in dimension 4, built from the metric, the Schouten…Yury N. Berdinsky·Sep 7, 2026SaveLearn
Entropic repulsion to the middle layerWe consider ∇φ height functions with even and convex interaction energy W on the lattice Zd, which are restricted to take values in the set \-S, …, S\ for some integer…Max Mihailescu, Ron Peled·Sep 7, 2026SaveLearn
Möbius Invariant Dimers and Miquel DynamicsAs is already known, there is a correspondence between circle patterns and the dimer model, which is invariant under Euclidean transformations. We establish a new correspondence that is invariant…Niklas C. Affolter, Luis Mühlhoff·Sep 7, 2026SaveLearn
Towards Heterogeneous Exascale CFD with a Single Fortran Code Base: OpenMP Target Acceleration of the High-Order Unstructured Solver UCNS3DHeterogeneous exascale systems are reshaping computational fluid dynamics, yet rewriting mature high-order solvers for accelerators can fragment code bases and weaken reproducibility. We present a…Panagiotis Tsoutsanis, Michal Uminski, Christopher Day et al.·Sep 7, 2026SaveLearn
Big Crunch on Julia and Anti-Julia Sets in the Integrable LimitThe Julia set is defined by the closure of repelling periodic points in chaotic systems. Why does this structure not appear in integrable systems? In this paper, we address this question by…Masatomi Iizawa, Satoru Saito, Yasuhito Narita et al.·Sep 7, 2026SaveLearn
Renormalization group bounds on Araki relative entropyThis paper derives a multiscale Bakry-Émery criterion for an upper bound on the Araki relative entropy of perturbations of an equilibrium state in relativistic QFT. Using stochastic positivity,…Edoardo D'Angelo·Sep 7, 2026SaveLearn
A Note on Extended States on the Bethe LatticeWe give a new proof of the existence of absolutely continuous spectrum for the weakly disordered Anderson model on the Bethe lattice. The argument follows a general cyclicity criterion for…Vojkan Jaksic, Yoram Last, Simone Warzel·Sep 7, 2026SaveLearn
Commutative Factorization of Nonlinear Second-Order Differential Equations: Theory and ApplicationsThis work presents a generalization of the commutative factorization framework for a broad class of second-order nonlinear ordinary differential equations. The main objective was to extend the…Gabriel Gonzalez·Sep 7, 2026SaveLearn
Novel computational formulas and relations for special numbers and functions: approach to analysis of Debye functionsThe first goal of this paper is to give a new family of special function related to the Debye functions. By using these function and generating function method, we derive many novel formulas and…Yilmaz Simsek·Sep 6, 2026SaveLearn
Condensation and Collapse in the Mean-Field Limit of Rotating 2D Bose Gases with Two-Body and Three-Body InteractionsWe consider a system of N interacting bosons in a rotating harmonic trap in R2, where the two-body interaction is attractive and scaled as N2αU(Nαx) with 0<α<1/12, and the…Deke Li, Yuan Li, Qingxuan Wang·Sep 6, 2026SaveLearn
Renormalization Group on Wiener Space: Spectral Theory and UniversalityWe develop a rigorous renormalization group (RG) formalism on Wiener space. We introduce an RG operator R acting on probability measures over continuous paths, whose fixed point is the…André L. P. Considera, Alexei A. Mailybaev·Sep 5, 2026SaveLearn
An Algebraic Proof of Gauge-Fixing IndependenceThis paper provides an algebraic proof of the gauge-fixing independence of perturbative asymptotic expansions in a finite-dimensional model of non-Abelian gauge theory. We develop an algebraic…Jiuhe Liu·Sep 5, 2026SaveLearn