Markov partition in non-hyperbolic interval dynamics

DOI10.1007/BF02102040zbMath0749.58030OpenAlexW1975686418MaRDI QIDQ1814272

Edson Vargas

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02102040

zbMATH Keywords

Hausdorff dimensionMarkov partitionlimit capacitynon-hyperbolic interval dynamics

Mathematics Subject Classification ID

Topological dynamics (37B99)

Related Items

Induced maps, Markov extensions and invariant measures in one-dimensional dynamics ⋮ Yet another induction scheme for non-uniformly expanding transformations ⋮ Topological conditions for the existence of invariant measures for unimodal maps ⋮ Measure of minimal sets of polymodal maps

Cites Work

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• Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition
• Hyperbolicity, sinks and measure in one dimensional dynamics
• Sensitive dependence to initial conditions for one dimensional maps
• Bifurcations in one dimension. I. The nonwandering set
• Absolutely continuous measures for certain maps of an interval
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• A structure theorem in one dimensional dynamics
• Stable Orbits and Bifurcation of Maps of the Interval

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