Critical Points of Line Restrictions of Signed Point-Charge PotentialsLet α>0 and restrict a finite inverse-power potential with arbitrary real coefficients to a line. Combine terms having the same projected centre and squared height (a, b2), delete…Xiuqing Duan·Aug 28, 2026SaveLearn
Augmented Star Products and their ApplicationsIn this paper, we introduce a generalized framework for star products that preserve associativity while not necessarily obeying the canonical commutation relations. Within this framework, we…Naoya Miyazaki·Aug 28, 2026SaveLearn
Non-Closing Double-Commutator Flows and the Small-Coupling Limit of Spin-Boson ModelsSpin-boson models are paradigmatic examples of open quantum systems and serve as the theoretical paradigm for current quantum computers based on single-ion trap technology. Despite their ubiquity, a…Jean-Bernard Bru, Nathan Metraud, Walter de Siqueira Pedra·Aug 28, 2026SaveLearn
Lattice Green's function of the hyperkagome lattice: modular uniformization at level 30 from an orthogonal differential Galois groupThe lattice Green's functions of the cubic lattices are classical: each is a symmetric square of a second-order operator, with a closed form in complete elliptic integrals. The hyperkagome…Bryan Nasr, Jean-Marie Maillard·Aug 28, 2026SaveLearn
Reducing the domain of discrete multi-time determinantal point processesWe consider a class of discrete multi-time determinantal point processes whose correlation kernels admit a double-contour integral form, containing Schur processes as simple examples. We show that…Tom Claeys, Felix Gideonse·Aug 28, 2026SaveLearn
Explicit Bound States and Threshold Resonances for Two Identical Fermions on a One-Dimensional LatticeWe study a two-particle lattice Schrödinger operator describing two identical fermions on the one-dimensional lattice Z with nearest-neighbor interaction of strength λ∈ R. Using…Sobir S. Ulashov, Shakhobiddin I. Khamidov·Aug 28, 2026SaveLearn
Holomorphy of the ground state and energy for bosonic quadratic HamiltoniansWe study the holomorphy of the ground state and its energy with respect to the coupling constant for bosonic quadratic Hamiltonians. We prove general theorems establishing this holomorphy, thereby…Kota Imura, Shinnosuke Izumi, Yasumichi Matsuzawa et al.·Aug 28, 2026SaveLearn
Difference equations of average entropiesExact cumulants of entanglement entropies of random state ensembles have traditionally been studied within the random matrix framework. In this work, we propose an alternative approach based on the…Youyi Huang, Linfeng Wei, Lu Wei et al.·Aug 28, 2026SaveLearn
Fractional Hall Conductance of Laughlin States from a Topological IndexWe provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof uses a recently…Sven Bachmann, Severin Schraven, Jacob Shapiro et al.·Aug 27, 2026SaveLearn
Spectral properties of aperiodic metric and discrete graphsIn this thesis, we study the spectral properties of dynamically defined aperiodic metric and discrete graphs. Our goal is to determine to what extent spectral properties of discrete one-dimensional…Gilad Sofer·Aug 27, 2026SaveLearn
Euler Topological Metals in 1DWe give a rigorous one-dimensional formulation of Kane's transport proposal for probing the Euler characteristic of a Fermi sea. For a clean, translation-invariant continuum Hamiltonian with…Yichen Hu, Jacob Shapiro·Aug 27, 2026SaveLearn
2-Morita Theory of E2-Algebras and Module CategoriesBuilding on our previous work on 2-Morita equivalence for E2-algebras using topological pictures, we develop a systematic framework for Morita equivalence of topological orders in different…Rongge Xu, Holiverse Yang·Aug 27, 2026SaveLearn
Multiscale Loop Vertex Expansion for Cumulants, the ϕ42 ModelWe consider the ϕ42 model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of constructive field…Vincent Rivasseau·Aug 27, 2026SaveLearn
Quasi-polynomiality and N-point functions of single connected leaky completed Hurwitz numbersIn this paper, we study the structures of single connected k-leaky (r+1)-completed Hurwitz numbers. We first prove that, for fixed genus, after extracting an explicit product of Pochhammer type…Chongyu Wang, Chenglang Yang·Aug 27, 2026SaveLearn
Coupled stochastic variational principles for multiscale surface gravity waves -- Part I: theoretical frameworkThis paper develops a comprehensive stochastic variational framework for surface gravity waves. Starting from Luke's variational principle for irrotational, incompressible free-surface flow, we…Etienne Mémin, Arnaud Debussche·Aug 27, 2026SaveLearn
The Sharp Spectral Transition for Almost Mathieu Operators via Alternating ResonancesWe prove that for any given frequency resonance exponent and phase resonance exponent, there exist a frequency and a phase exactly realizing these values such that the Almost Mathieu operator…Jiawei He, Xueyin Wang·Aug 27, 2026SaveLearn
Dynamical classical-field limit of Bosonic Gibbs states: Renormalized Hartree NLS correlations in 2D and 3DIn this paper we derive the time-dependent correlation functions of the renormalized Hartree NLS equation on the torus Td, d=2,3, from the corresponding bosonic many-body Gibbs dynamics.…Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu·Aug 27, 2026SaveLearn
Quantum cellular automata and invertible phases of matterWe introduce and study (fermionic and bosonic) invertible quasi-local algebras over uniformly locally finite metric spaces X with infinite-dimensional local von Neumann algebras. We show that the…Corey Jones, Nikita Sopenko, Ryan Thorngren·Aug 26, 2026SaveLearn
A closure criterion for electromagnetic curves on the sphere in a uniform ambient fieldWe consider the motion of a charged test particle confined to the round unit sphere in a uniform ambient magnetic field. We use an extension of Noether's theorem for systems with magnetic forces…C S López-Monsalvo·Aug 26, 2026SaveLearn
Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical EnsembleWe consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of particles in the…Andreas Deuchert, Xuanyu Li·Aug 26, 2026SaveLearn
Plasticity as Directional Stationarity: Yielding, Flow, and Hardening from One FunctionalTraditional plasticity theory is commonly organized through an elastic law, a yield condition, a flow rule, hardening relations, and loading--unloading conditions. This paper formulates these…Huilong Ren·Aug 26, 2026SaveLearn
Lower bounds on the spatial decay of the ground state of the Pauli-Fierz modelLower bounds on the pointwise spatial decay of the ground state of the Pauli-Fierz model in non-relativistic quantum electrodynamics are studied. Two models are considered: the full Pauli-Fierz model…Fumio Hiroshima, Yuki Tsujimoto·Aug 26, 2026SaveLearn
Threshold spectral transition for a fermion-boson pair on the one-dimensional latticeWe study a two-particle lattice Schrödinger operator describing a fermion-boson pair on the one-dimensional lattice Z with zero-range on-site interaction of strength μ∈ R and…Sobir S. Ulashov, Shakhobiddin I. Khamidov·Aug 26, 2026SaveLearn
Free-Energy Asymptotics of the Two-Dimensional Quantum Heisenberg FerromagnetWe prove the leading low-temperature free-energy asymptotics of the nearest-neighbour quantum Heisenberg ferromagnet on Z2. For every fixed S∈\12,1,32,…\, the free…Andreas Klippel·Aug 26, 2026SaveLearn
Bound State Analysis of Rank-One Delta Interactions Supported by Deformed HyperspheresWe study rank-one delta interactions supported by small normal deformations of an \(n\)-dimensional hypersphere \(SRn⊂Rn+1\). The interaction is defined by the normalized surface…Hilal Demirdöğen, Fatih Erman, Merve Nur Sayar·Aug 25, 2026SaveLearn