Measure-theoretic degrees and topological pressure for non-expanding transformations

DOI10.1016/J.JFA.2014.07.026zbMath1318.37007OpenAlexW2073558021MaRDI QIDQ457601

Eugen Mihailescu, Mariusz Urbański

Publication date: 29 September 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.07.026

zbMATH Keywords

topological pressurehyperbolic endomorphismJacobian of ergodic measuremeasure-theoretic asymptotic degreesaddle invariant set

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Infinite-dimensional dissipative dynamical systems (37Lxx) Dynamical systems with hyperbolic behavior (37Dxx)

Related Items (7)

Entropy dimension of shifts of finite type on free groups ⋮ Random countable iterated function systems with overlaps and applications ⋮ A formula for the entropy of the convolution of Gibbs probabilities on the circle ⋮ Preimage pressure on subsets and multifractal analysis ⋮ Preimage entropy and stable entropy on subsets ⋮ Skew product Smale endomorphisms over countable shifts of finite type ⋮ Smale endomorphisms over graph-directed Markov systems

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