Escape rates and physical measures for the infinite horizon Lorentz gas with holes
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Publication:5406308
DOI10.1080/14689367.2013.814946zbMath1330.37037OpenAlexW2065382861MaRDI QIDQ5406308
Publication date: 1 April 2014
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689367.2013.814946
open systemstransfer operatorescape ratesdispersing billiardsconditionally invariant measuresurvivor set
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Related Items (4)
Projective cones for sequential dispersing billiards ⋮ Limiting distributions for countable state topological Markov chains with holes ⋮ Slow and fast escape for open intermittent maps ⋮ Escape rates and singular limiting distributions for intermittent maps with holes
Cites Work
- Spectral analysis of the transfer operator for the Lorentz gas
- Escape rates and physically relevant measures for billiards with small holes
- The Pianigiani-Yorke measure for topological Markov chains
- Markov extensions for dynamical systems with holes: an application to expanding maps of the interval
- Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
- Entropy, Lyapunov exponents and escape rates in open systems
- Stability of statistical properties in two-dimensional piecewise hyperbolic maps
- Existence and convergence properties of physical measures for certain dynamical systems with holes
- Conditionally invariant measures for Anosov maps with small holes
- The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
- Ergodic properties of Anosov maps with rectangular holes
- Anosov maps with rectangular holes. Nonergodic cases
- Invariant measures for Anosov maps with small holes
- Open Billiards: Invariant and Conditionally Iinvariant Probabilities on Cantor Sets
- Spectral analysis of hyperbolic systems with singularities
- Escape rates and conditionally invariant measures
- Markov extensions and conditionally invariant measures for certain logistic maps with small holes
- Markov partitions for two-dimensional hyperbolic billiards
- Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
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