A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions

DOI10.1007/BF02180206zbMath0985.37040OpenAlexW2077726946MaRDI QIDQ1285200

Publication date: 19 July 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02180206

zbMATH Keywords

Hausdorff dimension multifractal analysis dimension spectrum Markov partition equilibrium measures pointwise dimension conformal expanding maps HP spectrum

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

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