Mathematical Physics · Mathematics & Statistics
Mathematical Physics
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408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 19
Sustained growth of quantum circuit complexity in many-body Hamiltonian dynamics
The quantum circuit complexity of an evolving many-body quantum system is believed to exhibit a sustained growth, maintained for timescales much longer than the onset of thermalization.Global zero-excitation state preparation through subsystem cooling
Preparing interacting quantum systems in low-energy or ground states is a fundamental task in quantum simulation and quantum information processing.A complete characterization of eventually entanglement breaking unital quantum channels
We obtain a complete characterization of eventually entanglement breaking (EEB) unital channels in terms of some simple commutation properties of their eigenvectors.Bi-Oriented Interlaced Matrix Multiplication and an Operator Factorisation of the Quantum Harmonic Oscillator
We introduce a bi-oriented interlaced matrix product on $2\times 2$ matrices over a unital, possibly non-associative algebra, extending a matrix mnemonic for Cayley--Dickson doubling.The Mirror Theorem: Central Incidence Saturation in Keith Recurrences
Can a mirror emerge when numbers return?Notes on a strongly aperiodic monotile in $E^3$
We provide a clearer presentation of the Chair44 monotile, a new strongly aperiodic monotile in three-dimensional Euclidean space $E^3$.More (shifted) runners, less loneliness
The shifted lonely runner conjecture was recently disproved by Blanco, Criado and Santos.Matching Rules for a Three-Dimensional Strongly Aperiodic Monotile
A recent pre-print [arXiv:2609.19214] proposed a three-dimensional (3D) strongly aperiodic monotile: a shape that tiles Euclidean space only non-periodically and which admits no symmetry of infinite…Domain-decomposed Evolutional Deep Neural Network with Random Features for Transient Pressure Diffusion with Discontinuous and High-Contrast Coefficients
Transient pressure diffusion in heterogeneous porous media becomes difficult to resolve efficiently when permeability is discontinuous and spans several orders of magnitude.Regularity of asymptotically axisymmetric solutions to the 3D Navier-Stokes equations with analytic forcing
OpenAI~\cite{OpenAIManuscript} has recently announced a proof of finite time singularity formation for the 3D Navier-Stokes equations, in the presence of a $C^\infty$-smooth body force.The Pólya--Szegő conjecture for convex polygons with many sides
For every sufficiently large N, we prove that the regular N-gon uniquely minimizes the first Dirichlet eigenvalue among convex polygons of prescribed area with at most N sides, up to rigid motions.A Strongly Aperiodic Monotile in Three Dimensions
Socolar and Taylor asked for a single, simply connected three-dimensional prototile that forces nonperiodicity by shape alone, admitting no weakly nonperiodic tiling; the Schmitt-Conway-Danzer…Adaptive hybrid coupling with operator inference, the overlapping Schwarz alternating method and reinforcement learning
Hybrid domain decomposition methods provide a flexible framework for coupling full order models (FOMs) and reduced order models (ROMs), but typically assume the model assigned to each subdomain is…Hybrid coupling with numerics-informed neural networks and the overlapping Schwarz alternating method
We develop a hybrid modeling framework for coupling pre-trained numerics-informed neural networks (NINNs) with classical full order models (FOMs) using the overlapping Schwarz alternating method.Critical and near-critical influence bounds for ferromagnetic Ising models
For a ferromagnetic Ising model on a graph of maximum degree $Δ\ge3$, we prove a bound of order $\sqrt n$ on every row of the influence matrix at the tree uniqueness threshold.Selflessness, MIF and opposition in groups acting on exotic buildings
We prove that groups acting freely and cocompactly on (possibly exotic) affine buildings of type $\tilde{A}_2$ and $\tilde C_2$ are mixed-identity free and have selfless reduced $C^*$-algebras.Two Extremal Even Unimodular Lattices of Rank $88$
In this paper, we construct two extremal positive definite even unimodular lattices of rank $88$ using a Hermitian tensor product over $\mathbb{Q}(\sqrt{-23})$, thereby extending the known existence…Improved Bounds for the Bilu-Linial Conjecture via Spectral Recovery from Mixed Determinantal Polynomials
Bilu and Linial conjectured that every finite $d$-regular graph with $d \geq 2$ admits an edge signing $σ$ whose signed adjacency matrix $A_σ$ has spectral radius at most $2\sqrt{d-1}$.Stability of non-isentropic gaseous stars
We study the linear stability of compactly supported static spherical equilibria of the non-isentropic Euler--Poisson system.Event-Time Order-Flow Memory, Operational-Time Impact, and Subordinated Market Observables
We consider two canonical market-microstructure regularities: the long-memory of trade signs and the square-root law of meta-order impact.