Large deviations and applications in homogeneous dynamics arXiv:2610.32814 Pesin's entropy formula on attractors with continuous invariant spli... arXiv:2610.32820

Energy Discontinuity of the Lyapunov Exponent for Quasiperiodic Schr... arXiv:2610.32623 Bistability with equal and independent removal in small bimolecular ... arXiv:2610.32739 Finiteness of Dziobek central configurations in the Newtonian five-b... arXiv:2610.32751

On the homeomorphism group of the Cantor set: monotone and measure p... arXiv:2610.32424 Partial rigidity and q-additive functions arXiv:2610.32445 The convergence-divergence criterion for the Ma\~n\'e cohomology lem... arXiv:2610.32484

Flexibility of topological entropy and factor persistence in the C^0... arXiv:2610.31939 Spectrum of the basilica group and the associated real and complex 2... arXiv:2610.31961 Global injectivity and real Jacobian conjecture in \mathbb{R}^n arXiv:2610.32391

Higher-order asymptotic formulae for periodic orbits of 3-dimensiona... arXiv:2610.31823 A generalization of Gordon's Theorem to arbitrary winding number arXiv:2610.31872 Effective Multiplicative Ergodic Theorems for Banach Space Cocycles arXiv:2610.31921

Polytopal substitutions and conformal dimension arXiv:2610.31530

Open dynamics with a moving hole: inhomogeneous IFS and exponential ... arXiv:2610.31128 Typical periodic optimization and freezing phase transition: Dini po... arXiv:2610.31327 Random Survivor Sets with Moving Holes in Bedford-McMullen Carpets arXiv:2610.31440

The Keller-Segel Model for Chemotaxis on Metapopulation Graphs and G... arXiv:2610.31049 Wandering exposed Julia components of rational maps arXiv:2610.31055 Ledrappier-Young entropy formula for C^1 diffeomorphisms with domina... arXiv:2610.31086

Pluripotency and Anosov Dynamics arXiv:2610.30636 On C^2 circle diffeomorphisms with rotation numbers of constant type arXiv:2610.30750 Reflection symmetry in the equal-mass 1+N coorbital problem for 5\le... arXiv:2610.31036

When Language Models Misinterpret Uncertainty in Earth System Mechan... arXiv:2610.30501 Return Time Sets of Minimal Points for Countable Group Actions arXiv:2610.30554 Collinear motions in constant curvature spaces, and coplanar motions... arXiv:2610.30567

Partial Breakdown of Integrability in Nearly Integrable Systems arXiv:2610.30354 New criteria for upper bounds on the number of limit cycles in Li\'e... arXiv:2610.30417 A smooth Riemannian metric on an arbitrary product of spheres with B... arXiv:2610.30464

Almost Every Pair of Interval Exchange Transformations Does Not Gene... arXiv:2610.29993 The Dynamics of RMSProp Beyond the Stability Threshold arXiv:2610.30078

Linear Stability of Double-Double Orbits in the Equal-Mass Four-Body... arXiv:2610.29620 Solutions of x^\alpha+y^\alpha=1 in \lambda-Cantor sets arXiv:2610.29793 Strong Positive Recurrence for Strongly Entropy Expanding Maps arXiv:2610.29814

The minimal period solution of Hamiltonian systems with even potentials arXiv:2610.29496 Finite-to-One Maps into Band-Limited Function Spaces and Cubical Shi... arXiv:2610.29509 Continuity of Furstenberg entropy on Bowen Poisson bundles arXiv:2610.29561

On the gradient conjecture at infinity: Finite spherical length for ... arXiv:2610.29211 Bistable Dynamics and Complete Classifications of A Seasonal Competi... arXiv:2610.29233 Frequency Structure of AMM Liquidity Pools: A Multiresolution Analys... arXiv:2610.29485

Low-Dimensional Reduction of Mean-Field Coupled Dynamical Systems wi... arXiv:2610.28715 Embeddings of Relative Dimension Groups for Zero-Dimensional Dynamic... arXiv:2610.28813 Neural Vector Field Transformations: Learning the Flow of Autonomous... arXiv:2610.29039

Real-analytic standard families and rotational invariant curves arXiv:2610.28449 Generic finiteness of solutions to parametrized systems of generaliz... arXiv:2610.28588 Measures of maximal entropy for meromorphic maps on compact K\"ahler... arXiv:2610.28617

Stability and instability for particle dynamics in magnetic fields arXiv:2610.27893 Finiteness of planar central configurations of five bodies with posi... arXiv:2610.28168 Strictly convex ergodic billiards arXiv:2610.28247

Ergodicity of the geodesic flow on surfaces of nonpositive curvature arXiv:2610.27697 Absolute winning properties of exceptional sets for rational maps arXiv:2610.27796 Beta-expansions induced by general Parry polynomials and sharp itera... arXiv:2610.27844

Canard points in planar mass-action networks: a flux criterion, a du... arXiv:2610.27188 Connected \omega-limit sets of Cournot maps: periodic orbits, realiz... arXiv:2610.27229 Multiplicity of closed geodesics on odd-dimensional bumpy Finsler co... arXiv:2610.27685