Abundant rich phase transitions in step-skew products

DOI10.1088/0951-7715/27/9/2255zbMath1350.37037arXiv1303.0581OpenAlexW2082119604MaRDI QIDQ2924845

Katrin Gelfert, Michał Rams, Lorenzo J. Dıaz

Publication date: 17 October 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0581

zbMATH Keywords

phase transitionsLyapunov exponentsthermodynamic formalismtransitivitypartially hyperbolic dynamics

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Phase transitions (general) in equilibrium statistical mechanics (82B26) 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)

Related Items (12)

Generation of spines in porcupine-like horseshoes ⋮ Dominated Pesin theory: convex sum of hyperbolic measures ⋮ Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products ⋮ Nonhyperbolic step skew-products: ergodic approximation ⋮ Sensitive dependence of geometric Gibbs states at positive temperature ⋮ Thermodynamical and spectral phase transition for local diffeomorphisms in the circle ⋮ High-order phase transitions in the quadratic family ⋮ Bernoulli property of equilibrium states for certain partially hyperbolic diffeomorphisms ⋮ Topological pressure for conservative C ¹ -diffeomorphisms with no dominated splitting ⋮ Equilibrium measures for some partially hyperbolic systems ⋮ The structure of the space of ergodic measures of transitive partially hyperbolic sets ⋮ Porcupine-Like Horseshoes: Topological and Ergodic Aspects

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