Surface Growth Driven by an Optimality CriterionWe propose a variational framework for accretive surface growth driven by an optimality principle. Rather than prescribing a kinetic law, the configuration at each time step is obtained, within a…Rohan Abeyaratne, Roberto Paroni, Marco Picchi Scardaoni·May 13, 2026SaveLearn
Gibbons-Tsarev type systems and Eventual identitiesWe show that non-diagonalisable reductions of the dKP equation associated with regular non-semisimple F-manifolds cannot exist. The proof is based on the derivation and study of a generalised…Alessandro Arsie, Paolo Lorenzoni, Sara Perletti et al.·May 13, 2026SaveLearn
On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gasThis paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime t λ-2 where λ 1 is the strength of the interaction potential. We prove that if the…Peter S. Madsen, Phan Thành Nam, Herbert Spohn et al.·May 13, 2026SaveLearn
A Guide to Applications of k-Contact Geometry in Dissipative Field EquationsWe study the practical scope of the k-contact Hamilton--De Donder--Weyl formalism as a geometric framework for dissipative field equations. In particular, our work focuses on canonical k-contact…J. de Lucas, J. Lange, M. Krych·May 13, 2026SaveLearn
Unitary invariance of Connes spectral distances of quantum statesIn this paper, we study the properties of Connes spectral distances between quantum states under unitary transformations. We mainly focus on spectral triples with matrix algebras acting on finite…Ji-Hong Wang, Bing-Sheng Lin, Zhi-Kang You·May 13, 2026SaveLearn
Intertwining Markov Processes via Matrix Product OperatorsDuality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement duality…Rouven Frassek, Jan de Gier, Jimin Li et al.·May 13, 2026SaveLearn
Bispectrality and the ad conditionsAt the beginning of the study of the bispectral problem, see [18], the ad-conditions played a crucial role in finding non-classical instances. The connection with the ad-conditions has reappeared in…F. Alberto Grunbaum·May 13, 2026SaveLearn
Resonant scattering for tunable quantum walks on graphs with tailsWe study the resonant scattering for discrete time quantum walks on graphs with some tails. In our arguments, we reduce the study of resonances to the perturbation of eigenvalues of a finite rank…Kenta Higuchi, Ryuta Ishikawa, Hisashi Morioka et al.·May 13, 2026SaveLearn
Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous SpacesWe provide a method for formulating superintegrable magnetic geodesic flows on reductive homogeneous spaces M=G/A, with G a compact semisimple Lie group and A a closed subgroup of G. In the…Kai Jiang, Guorui Ma, Ian Marquette et al.·May 13, 2026SaveLearn
Large N factorization of families of tensor trace-invariantsIt was recently proven that, in contrast to their matrix analogues, the moments of a real Gaussian tensor of size N do not in general factorize over their connected components in the asymptotic large…Sylvain Carrozza, Johann Chevrier, Luca Lionni·May 12, 2026SaveLearn
An analytical approach to calculating stationary PDFs for reflected random walks with an application to BESS-based ramp-rate controlA Wiener-Hopf-type integral equation for the stationary PDF of a reflected random walk is derived rigorously based on modern probability theory, and an application to battery energy storage systems…Carlos Colchero, Diego Jiménez-Arreguín, Álvaro Herrera et al.·May 12, 2026SaveLearn
Quasi-Sierpinski Structure for Uniform Load DistributionLand reclamation methods, indispensable for the proper development of modern coastal cities, are ecologically destructive. We present a fractal structure, similar to a Sierpinski triangle, which…Javier Rodríguez-Cuadrado, Jesús San Martín·May 12, 2026SaveLearn
A self-adjoint Fourier-type model for the iQuad wavefront sensorAdvanced adaptive optics (AO) systems can use Fourier-type wavefront sensing to correct optical distortions encountered in ground-based telescopes, AO-assisted retinal imaging, and free-space optical…Victoria Laidlaw, Olivier Fauvarque, Alfred Miksch et al.·May 12, 2026SaveLearn
A Feynman-Kac Formula for the Subcritical Ultraviolet-Renormalized Spin Boson ModelWe prove a Feynman-Kac formula (FKF) for the self-energy renormalized spin boson Hamiltonian, describing a two-state quantum system linearly coupled to a bosonic quantum field. Similar to recent FKFs…Daniel M. Fröhlich, Benjamin Hinrichs·May 12, 2026SaveLearn
Vacuum and thermal fluctuations of a scalar field with point interactionsWe investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by…Davide Fermi, Marco Gurgoglione·May 11, 2026SaveLearn
A Simplicial Approach to Higher Geometric QuantizationThis paper develops a unified framework for observables in n-plectic geometry, extending the Linfty-algebra of Hamiltonian (n-1)-forms to Hamiltonian forms of all degrees via a degree-shifting…Qian Zhang·May 11, 2026SaveLearn
Local topological order, Haag duality, and reflection positivityIn our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for abstract quantum spin systems which allow one to access topological order via a boundary algebra…Pieter Naaijkens, David Penneys, Daniel Wallick·May 11, 2026SaveLearn
Generalized i-boson model and boxed BUC plane partitionsThis paper is devoted to investigating the relation between the generalized i-boson model and boxed BUC plane partitions. The representation of the generalized i-boson algebra and the actions of the…Shengyu Zhang, Denghui Li, Zhaowen Yan·May 11, 2026SaveLearn
A Bundle-Theoretic Formulation of Phonons in Crystalline PhasesPhonons are usually introduced by choosing a local displacement field. This paper keeps that local description, but identifies the global geometric object represented by it. The aim is not to change…Aleksey Prots·May 10, 2026SaveLearn
On Conservative Statistical Riemann SurfacesWe establish a correspondence between information geometry and gauge theory. First, we define an important class of statistical manifolds, that is normalized and satisfies a conservation field…Hanwen Liu·May 9, 2026SaveLearn
An exact spacetime polymer gas for finite-temperature ZN homological quantum codeWe study finite-temperature P-form ZN homological codes via an exact finite-Trotter quantum-to-classical map to a (d+1)-dimensional spacetime model with electric and magnetic…Nafiz Ishtiaque, Shanto Chakroborty·May 9, 2026SaveLearn
Scaling Symmetries and Conformal Relative Equilibria on Poisson Manifolds, with Applications to Lie--Poisson SystemsWe investigate conformal relative equilibria for Hamiltonian systems on exact Poisson manifolds equipped with scaling symmetries. By introducing conformally Poisson actions and conformal momentum…Manuele Santoprete·May 9, 2026SaveLearn
Quantum Relative Entropy and the Mean-Field LimitWe develop a quantum relative entropy method for the mean-field limit of quantum many-body systems. For closed systems governed by the von Neumann equation, we prove a quantitative stability estimate…Gaoyue Guo, Hao Liang, Zhenfu Wang·May 9, 2026SaveLearn
Dispersive decay bounds for the SSH model on the half-lineWe study the Schr\"odinger flow for the SSH model, a class of self-adjoint discrete dimer lattice Hamiltonians on the half-line. Using oscillatory integral techniques, we prove dispersive time-decay…Remy Kassem, Amir Sagiv, Michael I. Weinstein·May 8, 2026SaveLearn
Hamiltonian formulation of the supersymmetric KdV equationWe studied the constrained Hamiltonian formulation of a supersymmetric Korteweg-de Vries (KdV) equation, which is observed to be a constrained system similar to its classical version. We found a…Ali Pazarci, Nadir Ghazanfari, Ilmar Gahramanov·May 8, 2026SaveLearn