Blow-Up, Asymptotics, and Improbability of Collision Singularities in the n-Body ProblemWe study finite-time singularities in n-body systems with pair potentials that are homogeneous of degree -α, where 0<α<2, that are not necessarily attractive and with bounded time-dependent…Nathan Duignan, Manuel Quaschner·Sep 1, 2026SaveLearn
Two-photon quantum Rabi models - Spectral degeneracy and symmetriesThe quantum Rabi model occupies a distinguished role in the study of quantum light and matter, describing the most fundamental interactions. Elucidation of its spectral properties, along with those…Cid Reyes-Bustos, Masato Wakayama·Sep 1, 2026SaveLearn
Topological Recursion on Spectral Curves with Infinite Ramification LociRecently in the physics literature there have been a small, but growing, number of papers that have applied the Eynard-Orantin topological recursion procedure to spectral curves with ramification…Quinten Weller·Sep 1, 2026SaveLearn
Robin Laplacians with point interactions on unbounded domains: discrete spectrum and coupling asymptoticsWe investigate the discrete spectrum of finitely many point interactions for Neumann and Robin Laplacians on special unbounded and exterior C1,1 domains in dimensions two and three. The…Diego Noja, Francesco Raso Stoia·Aug 31, 2026SaveLearn
Szegő-type determinant asymptotics for generalized Hilbert matrices with edge eigenvaluesWe compute the large-N asymptotics of the determinant of the identity plus or minus a generalized Hilbert matrix. For N ∈ N and δ∈ R \-1, -2, …\, let \[…Martin Gebert, Heinrich Küttler·Aug 31, 2026SaveLearn
Exactly flat bands beyond the chiral limit in Bistritzer--MacDonald HamiltoniansThe chiral limit of the Bistritzer--MacDonald model for twisted bilayer graphene has exactly flat bands at magic angles. We show that exact flatness can persist beyond the chiral limit with nonchiral…Zhen Huang, Kevin D. Stubbs·Aug 31, 2026SaveLearn
The Dunkl two-photon/Schrödinger algebras and their applicationsThe work introduces the novel Dunkl two-photon and Dunkl-Schrödinger algebras as reflection-extended counterparts of the standard six-dimensional two-photon and Schrödinger algebras. These extensions…Francisco J. Herranz, Danilo Latini·Aug 31, 2026SaveLearn
Rotating-wave approximation for spin-boson models with structured fieldsWe derive state-dependent bounds on the difference between two quantum evolutions generated by unbounded Hamiltonians sharing a common form domain. The main technical tool is a second integration by…Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo·Aug 31, 2026SaveLearn
Boundary Quantum Knizhnik-Zamolodchikov Equations and Integrability of Quantum Field Theories with Time-Dependent Bulk and Boundary Coupling StrengthsThe generalized Bethe ansatz framework formulated in [P. R. Pasnoori, Phys. Rev. B 112, L060409 (2025)] provides a unified framework to find exact solutions to quantum many-body systems with…Parameshwar R. Pasnoori·Aug 31, 2026SaveLearn
On the equivalence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisationWe prove a correspondence between the Polchinski flow and the Connes-Kreimer approaches to perturbative renormalisation, in the sense that the first yields the same renormalisation as the latter.…Yvain Bruned, Paul Laubie, Aurélien Minguella·Aug 31, 2026SaveLearn
Interactions between rarefaction waves and dispersive shock waves in the Gerdjikov--Ivanov equation with non-convex hydrodynamicsThis paper systematically investigates admissible configurations of the interaction between a rarefaction wave (RW) and a dispersive shock wave (DSW) by constructing a two-step piecewise constant…Hua-Ying Ren, Rui Guo·Aug 30, 2026SaveLearn
Uniqueness of universal quantum dimensionsWe prove, under some assumptions, the uniqueness of universal quantum dimension formulae. We first show that the quantum dimensions of classical algebras have a specific form that can be represented…M. Y. Avetisyan, R. L. Mkrtchyan·Aug 30, 2026SaveLearn
Multiple Nonlinear Waves by (Quantum) Neural Networks: Checking the AI supremacyTo test the potential of so-called quantum physics-informed neural network (QPINN) technology for solving evolutionary partial differential equations, we consider the problem of multiple wave…Luigi Martina, Riccardo Caricato, Riccardo Della Torre·Aug 30, 2026SaveLearn
Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional SpaceIn the whole space of low spatial dimensions, namely d ≤ 2, we study the minimizers of an energy functional with an attractive cubic nonlinearity and a repulsive quintic nonlinearity, which…Thi Anh Thu Doan, Dinh-Thi Nguyen·Aug 30, 2026SaveLearn
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the two-dimensional caseWe consider a homogeneous Bose gas composed of N identical bosons occupying an infinite two-dimensional space. This gas exhibits both an attractive two-body interaction and a repulsive three-body…Dinh-Thi Nguyen·Aug 30, 2026SaveLearn
Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional caseWe investigate the behavior of a homogeneous one-dimensional Bose gas composed of N identical bosons experiencing attractive two-body and repulsive three-body interactions. Utilizing intermediate…Dinh-Thi Nguyen·Aug 30, 2026SaveLearn
A Morse-Family Integrator for Hamilton--Jacobi Dynamics Across CausticsWe develop a geometric framework for implicit discrete Hamiltonian systems based on discrete Morse families, Lagrangian relations, and discrete analogues of Tulczyjew's triple. The main idea is…F. Jiménez Alburquerque, M. Leok, C. Sardón et al.·Aug 30, 2026SaveLearn
Kubo Formulas and Bulk-Edge Correspondence for Curved BoundariesStrong topological insulators are classified by integer invariants which admit different real-space expressions. Inspired by recent work studying these invariants for spaces with curved boundaries,…Aren Martinian, Tom Stoiber·Aug 30, 2026SaveLearn
Fock-Space Formulation of the Boltzmann Collision Operator for Maxwell MoleculesWe develop a representation-independent symmetric-Fock formulation of the nonlinear Boltzmann collision operator for Maxwell molecules. Starting from the standard velocity-space operator, we give a…Ilya Karlin·Aug 29, 2026SaveLearn
Alternative-mean trace divergences: geometry, data processing, and barycentersLet f:(0,∞)(0,∞) be a nontrivial normalized operator monotone function and set s=f'(1). We introduce the alternative-mean trace functional f(A,B) :=(A∇s B)…Trung Dung Vuong, Hiroki Shudo, Hiroyuki Osaka·Aug 29, 2026SaveLearn
Simultaneous Reconstructions of (x,t) -Dependent Coefficients and Initial Conditions of Parabolic EquationsThis is the first publication, in which an inverse problem of the simultaneous reconstruction of an unknown (x,t) - dependent coefficient and an unknown initial condition in a general linear…Michael V. Klibanov·Aug 29, 2026SaveLearn
Sharp Logarithmic Quantum Dynamics for Quasiperiodic Schrödinger OperatorsDynamical localization requires all position moments of a quantum wavepacket to remain bounded in time, but for quasiperiodic Schrödinger operators such bounds are generally not uniform in phase. In…Wencai Liu, Xueyin Wang·Aug 29, 2026SaveLearn
Simulating passive scalar advection in rough Kraichnan flowsWe present a systematic Eulerian study of passive scalar advection in rough two-dimensional Kraichnan flows, covering the full range of velocity roughness exponent h∈(0,1). The…Long Li, André L. P. Considera, Simon Thalabard·Aug 29, 2026SaveLearn
Pseudorandomness and DiffractionPseudorandom structures are structures that behave like random ones, without necessarily being random themselves. It is a prominent, and evidently very difficult, conjecture that V(n) = λ…David Damanik, Nicolae Strungaru·Aug 28, 2026SaveLearn
The Z2-Index of a Pair of Pure States and the Topology of Interacting 1D SuperconductorsWe define a relative Z2-index N(ω1,ω2) for locally-comparable, parity-invariant pure states on a unital C*-algebra. We prove that the index is well-defined,…Anna Mazhar, Jacob Shapiro·Aug 28, 2026SaveLearn