Regularity of multifractal spectra of conformal iterated function systems

DOI10.1090/S0002-9947-2010-05326-7zbMath1213.37038arXiv0902.2473OpenAlexW1969128939MaRDI QIDQ3082357

Marc Kesseböhmer, Johannes Jaerisch

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2473

zbMATH Keywords

multifractal spectraiterated function systemsthermodynamic potentialconformal iterated function systemsmultifractal regularity

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

Strong renewal theorems and Lyapunov spectra forα-Farey andα-Lüroth systems ⋮ Conformal fractals for normal subgroups of free groups ⋮ On the derivative of the \(\alpha\)-Farey-Minkowski function ⋮ Infinite non-conformal iterated function systems ⋮ Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets ⋮ Induced topological pressure for countable state Markov shifts ⋮ Multifractal analysis of Birkhoff averages for countable Markov maps ⋮ Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches ⋮ A multifractal analysis for cuspidal windings on hyperbolic surfaces ⋮ Thermodynamic formalism for transient dynamics on the real line

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