Invariant measures for Anosov maps with small holes
From MaRDI portal
Publication:4514490
DOI10.1017/S0143385700000560zbMath0963.37030MaRDI QIDQ4514490
Roberto Markarian, Serge E. Troubetzkoy, Nikolai I. Chernov
Publication date: 1 April 2001
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Related Items
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 ⋮ Dimension of generic self-affine sets with holes ⋮ Limiting distributions for countable state topological Markov chains with holes ⋮ Escape rates and physical measures for the infinite horizon Lorentz gas with holes ⋮ 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 ⋮ Stable regimes for hard disks in a channel with twisting walls ⋮ 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 ⋮ Flux-based statistical prediction of three-body outcomes ⋮ Pressure and escape rates for random subshifts of finite type ⋮ Topological and symbolic dynamics for hyperbolic systems with holes ⋮ Dispersing Billiards with Small Holes ⋮ Fractal dimensions for repellers of maps with holes ⋮ The doubling map with asymmetrical holes ⋮ Random paths and current fluctuations in nonequilibrium statistical mechanics