Equilibrium measures, prehistories distributions and fractal dimensions for endomorphisms

DOI10.3934/DCDS.2012.32.2485zbMath1266.37014OpenAlexW2319936723MaRDI QIDQ432600

Eugen Mihailescu

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2485

zbMATH Keywords

complex dynamicsequilibrium measures1-sided bernoullicityattractor with overlapsfractal dimension of folded setshyperbolic non-invertible mapsinverse pressurerepeller with overlapsSRB and inverse SRB measures

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

Geometry of measures in random systems with complete connections ⋮ Inverse pressure for finitely generated semigroups ⋮ Preimage pressure on subsets and multifractal analysis ⋮ Preimage entropy and stable entropy on subsets ⋮ The weak specification property and distributional chaos ⋮ Volume lemmas and large deviations for partially hyperbolic endomorphisms ⋮ Minimal sets and \(\omega\)-chaos in expansive systems with weak specification property ⋮ A 5D hyperchaotic Sprott B system with coexisting hidden attractors ⋮ Skew product Smale endomorphisms over countable shifts of finite type ⋮ Smale endomorphisms over graph-directed Markov systems

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