Stability of the topological pressure for piecewise monotonic maps under \(C^1\)-perturbations

DOI10.1007/BF02791130zbMath0991.37019MaRDI QIDQ1808873

Peter Raith

Publication date: 4 September 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

perturbationstopological pressuremaximal entropypiecewise monotonic mapweak star-topology

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Continuity of the measure of maximal entropy for unimodal maps on the interval

Cites Work

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• Piecewise invertible dynamical systems
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Continuity of the Hausdorff dimension for piecewise monotonic maps
• Jumps of entropy in one dimension
• Invariant subsets of expanding mappings of the circle
• Entropy of piecewise monotone mappings
• Hausdorff dimension for piecewise monotonic maps
• Stability of the maximal measure for piecewise monotonic interval maps

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