Recurrence rates for loosely Markov dynamical systems

DOI10.1017/S1446788700017468zbMath1122.37019MaRDI QIDQ3435403

Mariusz Urbański

Publication date: 26 April 2007

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

Full work available at URL: http://www.austms.org.au/Publ/JAustMS/V82P1/contents.html

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (3)

ITERATED LOGARITHM SPEED OF RETURN TIMES ⋮ Thin annuli property and exponential distribution of return times for weakly Markov systems ⋮ AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS

Cites Work

• Hausdorff measures versus equilibrium states of conformal infinite iterated function systems
• Lectures on hyperbolic geometry
• Quantitative recurrence results
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
• Convergence of the transfer operator for rational maps
• Product structure of Poincaré recurrence
• Dimensions and Measures in Infinite Iterated Function Systems
• Ergodic theory of equilibrium states for rational maps
• Hausdorff dimension of measures via Poincaré recurrence
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