Regularity of absolutely continuous invariant measures for piecewise expanding unimodal maps

DOI10.1088/0951-7715/29/9/2775zbMath1402.37053arXiv1504.04214OpenAlexW3103790978MaRDI QIDQ2821962

Dmitry Dolgopyat, Fabián Contreras

Publication date: 26 September 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04214

zbMATH Keywords

Hausdorff dimensiondensity functionSRB measurefunctions of bounded variationpiecewise expanding unimodal maps

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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