Conditionally invariant measures for Anosov maps with small holes
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Publication:4236789
DOI10.1017/S0143385798117492zbMath0982.37011MaRDI QIDQ4236789
Roberto Markarian, Serge E. Troubetzkoy, Nikolai I. Chernov
Publication date: 19 July 2000
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Related Items (21)
Entropy, Lyapunov exponents and escape rates in open systems ⋮ Entropy continuity for interval maps with holes ⋮ Escape rates and physically relevant measures for billiards with small holes ⋮ Random subshifts of finite type ⋮ Stability of statistical properties in two-dimensional piecewise hyperbolic maps ⋮ Limiting distributions for countable state topological Markov chains with holes ⋮ Escape rates and physical measures for the infinite horizon Lorentz gas with holes ⋮ Slow and fast escape for open intermittent maps ⋮ Existence and convergence properties of physical measures for certain dynamical systems with holes ⋮ Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems ⋮ Where to place a hole to achieve a maximal escape rate ⋮ Topological properties of invariant sets for two-dimensional hyperbolic toral automorphisms ⋮ Bifurcations of stationary measures of random diffeomorphisms ⋮ Markov extensions for dynamical systems with holes: an application to expanding maps of the interval ⋮ Escape rates and singular limiting distributions for intermittent maps with holes ⋮ Pressure and escape rates for random subshifts of finite type ⋮ Topological and symbolic dynamics for hyperbolic systems with holes ⋮ Asymptotic escape rates and limiting distributions for multimodal maps ⋮ Maximal escape rate for shifts ⋮ Dispersing Billiards with Small Holes ⋮ Fractal dimensions for repellers of maps with holes
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