Lifting measures to inducing schemes

DOI10.1017/S0143385707000806zbMath1154.37302arXiv0711.0626MaRDI QIDQ5387246

Samuel Senti, Ya. B. Pesin, Ke Zhang

Publication date: 8 May 2008

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

Full work available at URL: https://arxiv.org/abs/0711.0626

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants (28D20)

Related Items

Yet another induction scheme for non-uniformly expanding transformations ⋮ Symbolic dynamics for one dimensional maps with nonuniform expansion ⋮ Natural extensions for piecewise affine maps via Hofbauer towers ⋮ Inducing schemes with finite weighted complexity ⋮ Geometry of expanding absolutely continuous invariant measures and the liftability problem ⋮ Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability ⋮ Expanding measures ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Symbolic dynamics for surface diffeomorphisms with positive entropy ⋮ Thermodynamics of towers of hyperbolic type ⋮ SRB measures and Young towers for surface diffeomorphisms

Cites Work

• Unnamed Item
• Lifting measures to Markov extensions
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II
• Markov extensions for multi-dimensional dynamical systems
• Induced maps, Markov extensions and invariant measures in one-dimensional dynamics
• Invariant measures for general(ized) induced transformations
• Markov extensions and lifting measures for complex polynomials

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