Geometry of limit sets for expansive Markov systems

DOI10.1090/S0002-9947-08-04759-4zbMath1171.37021arXiv0705.1040OpenAlexW2019233935MaRDI QIDQ3623383

Katrin Gelfert, Michał Rams

Publication date: 17 April 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1040

zbMATH Keywords

Hausdorff dimensioniterated function systemsthermodynamical formalismexceptional minimal setsnon-uniformly hyperbolic systems

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Dynamical systems involving maps of the interval (37E05) Hausdorff and packing measures (28A78)

Related Items

Multifractal analysis of dimension spectrum in non-uniformly hyperbolic systems ⋮ Higher dimensional multifractal analysis of non-uniformly hyperbolic systems ⋮ The Lyapunov spectrum as the Newton-Raphson method for countable Markov interval maps ⋮ HAUSDORFF DIMENSION OF THE IRREGULAR SET IN NON-UNIFORMLY HYPERBOLIC SYSTEMS ⋮ Multifractal analysis of weak Gibbs measures for non-uniformly expanding C¹ maps ⋮ Multifractal analysis in non-uniformly hyperbolic interval maps

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