Globally coupled Anosov diffeomorphisms: statistical properties
DOI10.1007/s00220-022-04631-3zbMath1530.37044arXiv2208.02517OpenAlexW4313989907MaRDI QIDQ6155614
Fanni M. Sélley, Wael Bahsoun, Carlangelo Liverani
Publication date: 5 June 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.02517
Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-consistent mappings and systems of interacting particles
- On Landau damping
- Heterogeneously coupled maps: hub dynamics and emergence across connectivity layers
- Chemical oscillations, waves, and turbulence
- Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension
- Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties
- Map lattices coupled by collisions
- Stochastically stable globally coupled maps with bistable thermodynamic limit
- Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps
- Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps
- Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
- Linear response for a family of self-consistent transfer operators
- Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties
- Synchronization versus stability of the invariant distribution for a class of globally coupled maps
- Stochastic stability of Pollicott–Ruelle resonances
- Banach spaces adapted to Anosov systems
- On the McKean-Vlasov Limit for Interacting Diffusions
- Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
- Spacetime chaos in coupled map lattices
- Ruelle Perron Frobenius spectrum for Anosov maps
- Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations
This page was built for publication: Globally coupled Anosov diffeomorphisms: statistical properties
