The recurrence time for irrational rotations

zbMath1179.37060MaRDI QIDQ874833

Dong Han Kim

Publication date: 10 April 2007

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1152203944

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Metric theory of continued fractions (11K50)

Related Items (3)

The first return time properties of an irrational rotation ⋮ A renormalization approach to irrational rotations ⋮ Searching for targets of nonuniform size using mixing transformations: constructive upper bounds and limit laws

Cites Work

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• Recurrence speed of multiples of an irrational number.
• On the law of logarithm of the recurrence time
• Recurrence, dimensions, and Lyapunov exponents.
• Some asymptotic properties of the entropy of a stationary ergodic data source with applications to data compression
• Entropy and data compression schemes
• A universal law of logarithm of the recurrence time
• The waiting time for irrational rotations
• Product structure of Poincaré recurrence
• On the notion of recurrence in discrete stochastic processes
• Hausdorff dimension of measures via Poincaré recurrence

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