TokaGrad: End-to-end differentiable tokamak simulator for L-to-H full scenario optimizationAs fusion energy moves from theoretical feasibility toward commercialization, design of new reactor concepts, autonomous tokamak control, and high-performance scenario optimization are becoming…Jaemin Seo·Jul 10, 2026SaveLearn
Asymptotic stability of solutions to the good Boussinesq equation in dispersive wave regionThis work studies the asymptotic stability of solutions to the good Boussinesq equation in dispersive wave region when the reflection coefficients associated with the initial data belong to weighted…Yingmin Yang·Jul 10, 2026SaveLearn
Superintegrable 2D systems in magnetic fields with a parabolic type integralWe consider the problem on the existence of two dimensional superintegrable systems in the presence of a magnetic field in the two dimensional Euclidean space. We assume the existence of two…Tatiana Ekelchik, Antonella Marchesiello·Jul 10, 2026SaveLearn
Conformally flat factorization homology in Ind-Hilbert spaces and Conformal field theoryWe introduce a metric-dependent geometric variant of factorization homology in conformally flat Riemannian geometry for d ≥ 2. Its coefficients are symmetric monoidal functors from a disk…Yuto Moriwaki·Jul 10, 2026SaveLearn
Numerical computation of the density of states of aperiodic multiscale Schrödinger operatorsComputing the electronic structure of incommensurate materials is a central challenge in condensed matter physics, requiring efficient ways to approximate spectral quantities such as the density of…Eric Cancès, Daniel Massatt, Long Meng et al.·Jul 10, 2026SaveLearn
The Classification of 3+1d Symmetry Enriched Topological OrderWe use a 2-categorical version of (de-)equivariantization to classify (3+1)d topological orders with a finite G-symmetry. In particular, we argue that (3+1)d fermionic topological order with…Thibault D. Décoppet, Matthew Yu·Jul 10, 2026SaveLearn
Renormalization flows for 1D mixed states and a quantum Goursat lemmaRenormalization provides a framework for relating microscopic models of physical systems to effective descriptions at larger length scales. This procedure is studied for the boundary states of…Léo Le-Nestour, David Pérez-García, Alberto Ruiz-de-Alarcón·Jul 9, 2026SaveLearn
Quantum filtering and propagation of chaos for open quantum systems, with applications to quantum feedback control and quantum mean-field gamesThe theory of quantum filtering (of quantum continuous measurements) was developed by V.P. Belavkin about 40 years ago. Since then it attracted attention of numerous investigators including…Vassili N. Kolokoltsov·Jul 9, 2026SaveLearn
Multifractality of Semiclassical Measures on Star GraphsWe study eigenfunctions of quantum star graphs in the large edge number limit through the edge-mass distributions associated with their semiclassical measures. For generic edge lengths, we show that…Marius Nietschmann·Jul 9, 2026SaveLearn
The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge FieldsA limiting case is worked out in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of perturbative quantum field…Claudio Dappiaggi, Felix Finster, Niky Kamran et al.·Jul 9, 2026SaveLearn
Approximate eigenfunctions for some aperiodic crystalsIn this paper, we consider Hamiltonians for aperiodic crystals of the form align* H:=T(-i∇x+ A(x, x))+V(x, x), x∈ Rd…Long Meng·Jul 9, 2026SaveLearn
Wigner symmetries single out symmetric Wasserstein distances in all finite dimensionsWe study the quantum Wasserstein distances introduced by De Palma and Trevisan associated with quadratic cost operators generated by families of self-adjoint observables. We first show that an…Gergely Bunth·Jul 9, 2026SaveLearn
The Periodic Table and the Group SO(4,4): II. Double SO(4,2)-towerA group-theoretic interpretation of the periodic system of elements is given within the framework of the weight diagram of the Lie algebra so(4,4) of the fourth rank, where the four…V. V. Varlamov·Jul 9, 2026SaveLearn
Corner Quantization of 4D BF TheoryThis note studies the quantized corner structure of four-dimensional BF theory, classifies the associated free and physical corner algebras and constructs possible representations. In the abelian…Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino et al.·Jul 9, 2026SaveLearn
Existence and Uniqueness of Irregular Vectors of Integer and Half-Integer Ranks for the Virasoro AlgebraAlthough irregular vectors for the Virasoro algebra are widely used in modern mathematical physics, a rigorous existence and uniqueness theorem in arbitrary rank has not been available in the…Hajime Nagoya·Jul 9, 2026SaveLearn
Localised Davies generators for (pseudo)differential operatorsA classical Davies generator provides a Lindbladian for which the Gibbs state is stationary. Its construction involves precise knowledge of the Bohr spectrum or equivalently state evolution for all…Jeffrey Galkowski, Maciej Zworski·Jul 9, 2026SaveLearn
The Dry Ten Martini Problem for Sturmian HamiltoniansThe dry ten Martini problem for Sturmian Hamiltonians is solved. Concretely, we prove that all the predicted spectral gaps "are there" for all the Schrödinger operators with Sturmian…Ram Band, Siegfried Beckus, Raphael Loewy·Jul 9, 2026SaveLearn
An edge-bicolored graph approach to the Ising model on random regular graphsWe give an exact solution of the ferromagnetic Ising model on a random regular graph ensemble via analytic combinatorics. Expressing the partition function as the generating function of labeled…Michael Borinsky, Shiyue Ren, Maximilian Wiesmann·Jul 8, 2026SaveLearn
Kime-Representation Formulations of Three Open Problems in the Foundations of Classical Mechanics: Uncertainty, Invariant Entropy, and Directional Degrees of FreedomWe give mathematically self-contained formulations, in the complex-time (kime) representation, of three open problems from the foundations of classical mechanics: (I) the extension of the classical…Ivo D. Dinov·Jul 8, 2026SaveLearn
Error bounds for the truncated Baker--Campbell--Hausdorff and Zassenhaus formulas in unitary problemsThe Baker--Campbell--Hausdorff (BCH) formula plays a critical role in many branches of mathematics and physics. It expresses the logarithm of the product of exponentials of non-commuting operators as…A. Arnal, F. Casas, J. L. Ruiz-Benito·Jul 8, 2026SaveLearn
Invariant Measures for Soliton Systems Generated by Mealy AutomataWe study invariant measures for soliton systems described by Mealy automata. Motivated by recently introduced soliton models associated with 2-letter, 3-state Mealy automata, we formulate the time…Takahiro Kanazawa, Yutaro Nakabayashi·Jul 8, 2026SaveLearn
Chiral Long-Range Order in three Euclidean Lattice Gross-Neveu ModelsWe prove the existence of Long-Range Order in a class of two-dimensional Euclidean lattice Gross-Neveu models with an even number of fermion flavors, covering three standard lattice discretizations,…Simone Fabbri, Leonardo Goller·Jul 8, 2026SaveLearn
Stability and robustness of mathematical quasicrystals under statistical convergenceIn this work we address the stability and robustness of uniformly discrete point sets in Euclidean spaces. Firstly, we prove that if a sequence of point configurations contained in Rd is…Rodolfo Viera·Jul 8, 2026SaveLearn
Thermal boundary conditions in fractional superdiffusion of energyWe study heat conduction in a one-dimensional finite, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at possibly distinct temperatures placed…Tomasz Komorowski, Stefano Olla·Jul 8, 2026SaveLearn
Global time-analytic strong solutions for a class of 3-wave kinetic equationsWe study a class of 3-wave kinetic equations arising in wave turbulence theory, with regularized kernels. For radial, nonnegative initial data, we construct an exact global-in-time strong solution…Nguyen Gia Hien, Gigliola Staffilani, Minh-Binh Tran·Jul 7, 2026SaveLearn