Random perturbations of Axiom A basic sets

DOI10.1023/A:1023280407906zbMath0922.58043OpenAlexW1483596341MaRDI QIDQ1284780

Pei-Dong Liu

Publication date: 14 October 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023280407906

zbMATH Keywords

SRB measurerandom dynamical systemAxiom A basic set

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99) Stability theory for smooth dynamical systems (37C75) Dynamical systems with hyperbolic behavior (37D99)

Related Items (20)

Invariance entropy for a class of partially hyperbolic sets ⋮ SHADOWING PROPERTIES OF RANDOM HYPERBOLIC SETS ⋮ Ergodic hyperbolic attractors of endomorphisms ⋮ The multifractal analysis of Birkhoff averages for conformal repellers under random perturbations ⋮ Equilibrium states for random lattice models of hyperbolic type ⋮ Topological quasi-stability of partially hyperbolic diffeomorphisms under random perturbations ⋮ Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems ⋮ Lyapunov exponents for continuous random transformations ⋮ Openness for Anosov families ⋮ Local unstable entropy and local unstable pressure for random partially hyperbolic dynamical systems ⋮ Takens theorem for random dynamical systems ⋮ Invariance entropy of hyperbolic control sets ⋮ Stability of Hausdorff dimension of Axiom A attractors under random perturbations ⋮ THE HAUSDORFF DIMENSION OF HORSESHOES UNDER RANDOM PERTURBATIONS ⋮ Dimension of hyperbolic measures of random diffeomorphisms ⋮ Maximizing entropy measures for random dynamical systems ⋮ PERIODICITY AND SHARKOVSKY'S THEOREM FOR RANDOM DYNAMICAL SYSTEMS ⋮ Structural stability and a characterization of Anosov families ⋮ Stochastic stability of generalized SRB measures of Axiom A basic sets ⋮ On the structure of uniformly hyperbolic chain control sets

This page was built for publication: Random perturbations of Axiom A basic sets