Generic expanding maps without absolutely continuous invariant \(\sigma\)-finite measure

DOI10.4310/MRL.2007.V14.N5.A1zbMath1139.28005arXivmath/0608062OpenAlexW2028961518MaRDI QIDQ2474584

Artur Avila, Jairo Bochi

Publication date: 6 March 2008

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608062

zbMATH Keywords

invariant measurecircle mappingtype III

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

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(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms ⋮ Equilibrium states and SRB-like measures of \(C^1\)-expanding maps of the circle

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