Metric properties of some fractal sets and applications of inverse pressure

DOI10.1017/S0305004109990326zbMath1205.37049OpenAlexW1995740892MaRDI QIDQ3559984

Eugen Mihailescu

Publication date: 17 May 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004109990326

zbMATH Keywords

holomorphic mapsfractal setsinverse pressurenon-invertivle mapsstable dimensions

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (11)

Inverse pressure for finitely generated semigroups ⋮ Equilibrium measures on saddle sets of holomorphic maps on \(\mathbb{P }^2\) ⋮ Ergodic properties for some non-expanding non-reversible systems ⋮ Variational principles for pointwise preimage entropies ⋮ Local geometry and dynamical behavior on folded basic sets ⋮ Unstable directions and fractal dimension for skew products with overlaps in fibers ⋮ On some coding and mixing properties for a class of chaotic systems ⋮ Physical measures for multivalued inverse iterates near hyperbolic repellors ⋮ Skew product Smale endomorphisms over countable shifts of finite type ⋮ On a class of stable conditional measures ⋮ Preimage entropy dimension of topological dynamical systems

Cites Work

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• Fat solenoidal attractors
• INVERSE TOPOLOGICAL PRESSURE WITH APPLICATIONS TO HOLOMORPHIC DYNAMICS OF SEVERAL COMPLEX VARIABLES
• PREIMAGE ENTROPY FOR MAPPINGS

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