Existence and convergence properties of physical measures for certain dynamical systems with holes

DOI10.1017/S0143385709000200zbMath1202.37058arXiv0705.4271WikidataQ59184816 ScholiaQ59184816MaRDI QIDQ3569984

Henk Bruin, Mark F. Demers, Ian Melbourne

Publication date: 22 June 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4271

zbMATH Keywords

Young towerCollet-Eckmann mapsequilibrium principleescape rate formulaexpanding maps of the interval

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Related Items

Entropy, Lyapunov exponents and escape rates in open systems ⋮ Entropy continuity for interval maps with holes ⋮ Equilibrium states, pressure and escape for multimodal maps with holes ⋮ Escape rates and physically relevant measures for billiards with small holes ⋮ Memory loss for nonequilibrium open dynamical systems ⋮ 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 ⋮ Slow and fast escape for open intermittent maps ⋮ Where to place a hole to achieve a maximal escape rate ⋮ Escape rates and singular limiting distributions for intermittent maps with holes ⋮ Pressure and escape rates for random subshifts of finite type ⋮ The \(k\)-transformation on an interval with a hole ⋮ Topological and symbolic dynamics for hyperbolic systems with holes ⋮ Asymptotic escape rates and limiting distributions for multimodal maps ⋮ Exceptional sets in homogeneous spaces and Hausdorff dimension ⋮ Dispersing Billiards with Small Holes

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