The Pianigiani-Yorke measure for topological Markov chains

DOI10.1007/BF02774026zbMath0902.58016OpenAlexW1975817619MaRDI QIDQ1355250

Bernard Schmitt, Pierre Collet, Servet Martínez

Publication date: 6 December 1998

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

Full work available at URL: https://doi.org/10.1007/bf02774026

zbMATH Keywords

topological Markov chainRuelle-Perron-Frobenius operatorPianigiani-Yorke measure

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99)

Related Items

Escape rates for Gibbs measures ⋮ Dimension of self-affine sets with holes ⋮ Escape rates and physically relevant measures for billiards with small holes ⋮ Escape rates for special flows and their higher order asymptotics ⋮ Limiting distributions for countable state topological Markov chains with holes ⋮ Escape rates and physical measures for the infinite horizon Lorentz gas with holes ⋮ Pressure and escape rates for random subshifts of finite type ⋮ POISSON PROCESSES FOR SUBSYSTEMS OF FINITE TYPE IN SYMBOLIC DYNAMICS

Cites Work

• Existence of quasi-stationary distributions: A renewal dynamical approach
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Markov Extensions, Zeta Functions, and Fredholm Theory for Piecewise Invertible Dynamical Systems
• The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms