Existence of absolutely continuous invariant measures for \(C^1\) expanding circle maps

DOI10.1007/S10883-024-09710-3MaRDI QIDQ6652730

Author name not available (Why is that?)

Publication date: 13 December 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

invariant measureslow regularityexpanding maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• Title not available (Why is that?)
• A genericC¹map has no absolutely continuous invariant probability measure
• Un exemple de transformation dilatante et C¹ par morceaux de l'intervalle, sans probabilité absolument continue invariante
• Most expanding maps have no absolutely continuous invariant measure
• Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative
• On Ruelle-Perron-Frobenius operators. I: Ruelle theorem

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