Markov extensions for dynamical systems with holes: an application to expanding maps of the interval

DOI10.1007/BF02773533zbMath1079.37031arXivmath/0404255OpenAlexW2061346571MaRDI QIDQ1781938

Mark F. Demers

Publication date: 9 June 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404255

zbMATH Keywords

towerconditionally invariant measureLasota-Yorke map

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05)

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The flat spot standard family: variation of the entrance time median ⋮ Critical values for the -transformation with a hole at ⋮ 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 ⋮ 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 ⋮ Topological and symbolic dynamics for hyperbolic systems with holes ⋮ Dispersing Billiards with Small Holes

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