Recurrence and return times of the Sierpinski carpet

DOI10.1007/BF02183155zbMath0837.60099MaRDI QIDQ1906429

Dominique Simpelaere

Publication date: 20 March 1996

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

zbMATH Keywords

thermodynamic formalismrecurrencefractalPoisson lawreturn times

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Some mathematical problems in the theory of quantum chaos
• Corrigendum to D. Simpelaere: Multifractal decomposition of the Sierpinski carpet.
• The Hausdorff dimension of general Sierpiński carpets
• Entropy and large deviation
• Poisson limit law for Markov chains
• Poisson law for Axiom A diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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