Hamiltonian formalism for nonlinear Schrödinger equationsWe study the Hamiltonian formalism for second order and fourth order nonlinear Schrödinger equations. In the case of second order equation, we consider cubic and logarithmic nonlinearities. Since the…Ali Pazarci, Umut Can Turhan, Nader Ghazanfari et al.·Jul 29, 2026SaveLearn
The boundary-driven multispecies harmonic processWe introduce the multispecies version of the harmonic process on a one-dimensional chain in contact with boundary reservoirs. This process is a continuous-time Markov chain where each site can host…Francesco Casini, Rouven Frassek, Cristian Giardinà·Jul 28, 2026SaveLearn
Accurate Computation of Activated Volume in Electromagnetic HeatingIn electromagnetic heating and other applications, we need to compute the volume enclosed by an isosurface of the 3D temperature distribution that is numerically represented on a rectangular grid.…Hongyun Wang, Parthiv Seetharaman, Shannon E. Foley et al.·Jul 28, 2026SaveLearn
Mori-Zwanzig formalism: An existence proof for weak solutions of the orthogonal dynamics equationIn classical statistical physics, the Mori-Zwanzig projection operator technique is used to derive generalized Langevin equations for a random variable (observable). Standard derivations implicitly…Christoph Widder·Jul 28, 2026SaveLearn
Notes on a paper by F. Génot and B. Brogliato on the Painlevé paradoxWe reconsider the analysis of the Classical Painlevé Problem developed by F. Génot and B. Brogliato ([1] New results on Painlevé paradoxes. - European Journal of Mechanics-A/Solids, 18(4):653677,…Stefano Pasquero·Jul 28, 2026SaveLearn
A Rigorous Proof of Metric Blow-Up for Pseudospherical Metrics Associated with the Degasperis--Procesi EquationThis paper studies finite-time blow-up of pseudospherical metrics induced by solutions of the Cauchy problem for the Degasperis--Procesi equation. For initial momentum profiles satisfying suitable…Zhenhua Shi, Mingyue Guo·Jul 28, 2026SaveLearn
(1,k) CFT and RH problem with the c=-2 caseFollowing approach of Iorgov--Lisovyy--Teschner, we construct solutions of the (modified) Riemann--Hilbert problem using conformal blocks of (1,k) Virasoro models. For k>1 case, the solution of…Mikhail Bershtein, Andrei Grigorev, Anton Shchechkin·Jul 28, 2026SaveLearn
Which Saddles Contribute? The South-East Rule for Multidimensional IntegralsIn this paper, we introduce and demonstrate a simple geometric algorithm to determine which critical points, both complex as well as real, contribute to the asymptotic evaluation of multiple…Inês Aniceto, Job Feldbrugge, Christopher J. Howls·Jul 28, 2026SaveLearn
The Score Hamiltonian: Mapping Diffusion Models to Adiabatic TransportWe exhibit an exact correspondence between sampling with score-based diffusion models and adiabatic transport of ground states for a family of Schrödinger operators we call Score Hamiltonians, built…Peter Halmos, Boris Hanin·Jul 28, 2026SaveLearn
Connection Factorization in Constrained Quantum MechanicsWe investigate constrained quantum motion on curves and surfaces using connection factorization methods. We show that Laplace operators admit an exact half-connection factorization generated by…A. G. Nuramatov·Jul 28, 2026SaveLearn
Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-SpaceWe study graphene in an external magnetic field within a noncommutative (NC) framework. A gauge-invariant NC Hamiltonian is derived, and the system is analyzed using the ladder-operator formalism,…Ilyas Haouam·Jul 28, 2026SaveLearn
Quantum Wasserstein isometries of the n-qubit state space: a Wigner-type resultWe determine the isometry group of the n-qubit state space with respect to the quantum Wasserstein distance induced by the so-called symmetric transport cost for all n ∈ N. It turns…Gergely Bunth, Eszter Szabó, Dániel Virosztek·Jul 28, 2026SaveLearn
A turning point principle for liquid Lane-Emden starsUpon fixing the adiabatic index, the spherically symmetric liquid Lane-Emden stars governed by the Euler-Poisson system with a "stiffened gas" equation of state p=ργ-1 form a one-parameter…King Ming Lam·Jul 27, 2026SaveLearn
Milnor metric for Morse--Smale flows from field theoryWe study the partition function of Abelian BF theory with an axial gauge fixing condition given by a Morse--Smale vector field, and we show that it recovers the Milnor metric on the determinant…Giovanni Molinari, Michele Schiavina·Jul 27, 2026SaveLearn
A doubled Gordon threshold for palindromic quasiperiodic Schrödinger operatorsWe consider one-frequency quasiperiodic Schrödinger operators \[ (Hv,α,θu)(n) = u(n+1)+u(n-1) + v(θ+nα)u(n) \] acting on 2( Z), where α Q and $v∈ C2(…Wencai Liu·Jul 27, 2026SaveLearn
Local Weyl law and length-minimising loops on hyperbolic surfacesWe study the variance of a local Weyl law over a fixed smooth energy window, when averaged over large Weil--Petersson hyperbolic surfaces. Our results are consistent with the predictions of…Daniel Meriaz·Jul 27, 2026SaveLearn
A phase transition for the hard sphere model on the hyperbolic planeThe hard sphere model is a classical model from statistical physics in which particles are represented by equal-sized spheres. Longstanding predictions from the physics literature indicate that in…Lewis Bowen, Marcus Michelen, Will Perkins·Jul 26, 2026SaveLearn
Localization of quantum systems at Liouville toriWe consider a collection of pairwise commuting quantum observables in the setting of Berezin--Toeplitz quantization of a closed Kähler manifold and assume that the Arnold--Liouville theorem applies…Ood Shabtai·Jul 26, 2026SaveLearn
Spectral topology and edge modes for one-dimensional non-Hermitian photonic crystalsThis work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form closed loops over the…Junshan Lin, Hai Zhang·Jul 26, 2026SaveLearn
On Exotic Materials in 3D Linear Elasticity with High Symmetry ClassesAn anisotropic elastic material is referred to as exotic when, under specific loadings, its mechanical response exhibits a higher degree of symmetry than that prescribed by its intrinsic material…Nicolas Auffray, Guangjin Mou, Boris Desmorat·Jul 26, 2026SaveLearn
Explicit higher order rational rogue waves of the nonlinear Schrödinger equationThe N-th order rational rogue wave of the nonlinear Schrödinger equation (NLS), which depends on 2 N-2 real parameters, has been shown to be impossible to generate by the nonlinear superposition…Robert Conte, ENS Paris-Saclay, The University of Hong Kong·Jul 25, 2026SaveLearn
P(Φ)2 Theory from many-body quantum Gibbs statesWe derive the P(Φ)2 measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding to the Φ2p2…Phan Thành Nam, Zhilin Yang, Xiangchan Zhu·Jul 25, 2026SaveLearn
Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body InteractionsWe study the high-temperature mean-field limit of grand-canonical bosonic Gibbs states on the torus with renormalized nonlocal three-body interactions. In dimensions two and three, we construct the…Hao Liang·Jul 25, 2026SaveLearn
Logarithmic regularity of spectral measures on infinite graphsWe study the regularity of spectral measures of self-adjoint operators on infinite weighted graphs in the unimodular setting. This framework encompasses operators in the group algebra of a finitely…Charles Bordenave·Jul 25, 2026SaveLearn
A Two-Parameter Memory-Weighted Velocity Operator for Time and State Variables: Foundations and Fundamental PropertiesWe introduce and analyze a memory-weighted velocity operator Vα,eta within the framework of operator theory, establishing rigorous theoretical results for systems with time-varying memory. The…Jiahao Jiang·Jul 25, 2026SaveLearn