ITERATED LOGARITHM SPEED OF RETURN TIMES

DOI10.1017/S0004972717000752zbMath1378.37010OpenAlexW2763631555MaRDI QIDQ4589165

Łukasz Pawelec

Publication date: 7 November 2017

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

Full work available at URL: https://doi.org/10.1017/s0004972717000752

zbMATH Keywords

recurrencePoincaré theoremdecay of correlationsshrinking target

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (5)

A strong Borel–Cantelli lemma for recurrence ⋮ On Shrinking Targets and Self-returning Points ⋮ Estimating the Hausdorff measure using recurrence ⋮ Long hitting times for expanding systems ⋮ Dynamical Borel–Cantelli lemma for recurrence under Lipschitz twists

Cites Work

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• Dimension and measures for a curvilinear Sierpiński gasket or Apollonian packing
• Quantitative recurrence results
• On shrinking targets for piecewise expanding interval maps
• Recurrence rates for loosely Markov dynamical systems
• Hausdorff dimension of measures via Poincaré recurrence

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