Product structure of Poincaré recurrence

DOI10.1017/S0143385702000020zbMath0999.37003OpenAlexW2160556647MaRDI QIDQ4533419

Benoît Saussol, Luis Barreira

Publication date: 11 June 2002

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702000020

zbMATH Keywords

Hausdorff dimensionhyperbolic measurespointwise dimensionrepellersrecurrence ratelocally maximal hyperbolic sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems with hyperbolic orbits and sets (37D05) Ergodic theory (37A99) Dimension theory of smooth dynamical systems (37C45)

Related Items (11)

Diophantine properties of iets and general systems: quantitative proximality and connectivity ⋮ The recurrence time for irrational rotations ⋮ Quantitative Poincaré recurrence in continued fraction dynamical system ⋮ A Survey on the Dimension Theory in Dynamical Diophantine Approximation ⋮ The first return time properties of an irrational rotation ⋮ The multifractal spectra of certain planar recurrence sets in the continued fraction dynamical system ⋮ The spectrum of Poincaré recurrence ⋮ On the recurrence rates of continued fractions ⋮ On the hitting depth in the dynamical system of continued fractions ⋮ Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces ⋮ Recurrence rates for loosely Markov dynamical systems

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