Porcupine-like horseshoes: Transitivity, Lyapunov spectrum, and phase transitions

DOI10.4064/fm216-1-2zbMath1273.37027arXiv1011.6294OpenAlexW1989534284MaRDI QIDQ3103598

Katrin Gelfert, Lorenzo J. Dıaz

Publication date: 7 December 2011

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6294

zbMATH Keywords

phase transitionspectral gapLyapunov exponentskew-productpartial hyperbolicityhomoclinic classnon-contracting iterated function system

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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