Inverse Pressure Estimates and the Independence of Stable Dimension for Non-Invertible Maps

DOI10.4153/CJM-2008-029-2zbMath1158.37004arXiv0811.3227OpenAlexW2163693575MaRDI QIDQ3509518

Eugen Mihailescu, Mariusz Urbański

Publication date: 1 July 2008

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3227

zbMATH Keywords

Hausdorff dimensioninverse topological pressureNon-invertible map

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

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Inverse pressure for finitely generated semigroups ⋮ Unnamed Item ⋮ Ergodic properties for some non-expanding non-reversible systems ⋮ Variational principles for pointwise preimage entropies ⋮ Local geometry and dynamical behavior on folded basic sets ⋮ On the topological entropy of free semigroup actions ⋮ Preimage entropy and stable entropy on subsets ⋮ Unstable directions and fractal dimension for skew products with overlaps in fibers ⋮ Asymptotic distributions of preimages for endomorphisms ⋮ Hausdorff dimension of the limit set of conformal iterated function systems with overlaps ⋮ Physical measures for multivalued inverse iterates near hyperbolic repellors ⋮ On a class of stable conditional measures ⋮ Preimage entropy dimension of topological dynamical systems ⋮ On the topological entropy of a semigroup of continuous maps

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