INVERSE TOPOLOGICAL PRESSURE WITH APPLICATIONS TO HOLOMORPHIC DYNAMICS OF SEVERAL COMPLEX VARIABLES

DOI10.1142/S0219199704001446zbMath1091.37011OpenAlexW2033713291MaRDI QIDQ5315555

Eugen Mihailescu, Mariusz Urbański

Publication date: 8 September 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199704001446

zbMATH Keywords

preimage entropyinverse topological pressureholomorphic Axiom A mapsstable Hausdorff dimension

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (8)

Inverse pressure for finitely generated semigroups ⋮ Unnamed Item ⋮ On the topological entropy of free semigroup actions ⋮ Metric properties of some fractal sets and applications of inverse pressure ⋮ Asymptotic distributions of preimages for endomorphisms ⋮ The entropy of holomorphic correspondences: exact computations and rational semigroups ⋮ Preimage entropy dimension of topological dynamical systems ⋮ On the topological entropy of a semigroup of continuous maps

Cites Work

• Unnamed Item
• Topological pressure and the variational principle for noncompact sets
• Hausdorff dimension of quasi-circles
• Hyperbolic maps on \(\mathbb{P}^2\)
• Repellers for real analytic maps
• PREIMAGE ENTROPY FOR MAPPINGS
• Applications of thermodynamic formalism in complex dynamics on \(\mathbb{P}^2\)

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