Dynamical systems
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- Mean-Field Oscillator Ising Machines: Gradient Flows and Classification of Limit Solutions
- Counting the number of 1m-preperiodic 𝒪K-points of a discrete dynamical system with applications from arithmetic statistics, VII
- Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
- Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
- Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
- Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
- A Lipschitz refinement of the Bebutov-Kakutani dynamical embedding theorem for connected Lie group actions
- Uniform Exponential Attractors for Non-Autonomous Dynamical Systems and an Application to the damped hyperbolic equation with sub-quintic growth
- Odd order cases of Chowla's averages over arbitrary rectangles
- Strict Hausdorff-dimension drop for Quartic Salem Bernoulli convolutions
- Threshold Geometry, Bifurcation, and Data-Driven Analysis of a Vaccination-Treatment Model for Hepatitis B
- A strict amplitude lower bound for the van der Pol equation and extensions to symmetric Liénard systems
- Dynamic Bifurcation of Nonautonomous Evolution Equations: Invariant Manifold Methods
- Relative (τ), Expanders, and Decay of Correlations for certain Expanding Maps
- On the Finiteness of Anosov flows on $3$-manifolds via Contact Geometry
- Surfaces with nonpositive magnetic curvature
- Pointwise Hölder continuity of Lyapunov exponents of random matrix products
- Limit theorems for random matrix products with a simple top Lyapunov exponent
- Global asymptotic stability of homogeneous polynomial vector fields is undecidable
- Bilevel optimization for data-driven learning of Koopman embeddings using kernel-based autoencoders
- Prevalence of sparsity for negatively curved metrics
- A minimal model for rate-induced tipping to extinction
- Drilling veering triangulations with applications to pseudo-Anosov flows
- Generalized linear cellular automata in groups and difference Galois theory II
- Invariant sets and spectral rigidity of Hamiltonian diffeomorphisms