On random perturbation of some intersective sets.

DOI10.1016/S0019-3577(04)80006-5zbMath1065.37004OpenAlexW2009874254MaRDI QIDQ1890447

Yanyan Li

Publication date: 3 January 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(04)80006-5

zbMATH Keywords

ergodic theoremPoincaré recurrenceBanach densitymultiply intersection sets

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Metric theory of continued fractions (11K50) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (7)

On variants of the Halton sequence ⋮ Haas-Molnar continued fractions and metric Diophantine approximation ⋮ Limit theorems for sub-sums of partial quotients of continued fractions ⋮ Distribution functions for subsequences of the van der Corput sequence ⋮ On good universality and the Riemann hypothesis ⋮ On uniform distribution of polynomials and good universality ⋮ ON THE METRIC THEORY OF CONTINUED FRACTIONS IN POSITIVE CHARACTERISTIC

Cites Work

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• Ensembles intersectifs et récurrence de Poincaré. (Intersective sets and Poincaré recurrence)
• Ruzsa's problem on sets of recurrence
• Van der Corput's difference theorem
• On uniformly distributed sequences of integers and Poincaré recurrence. II
• On uniformly distributed sequences of integers and Poincaré recurrence
• On certain sets of integers and intersectivity
• Sets of Recurrence of Z^m -Actions and Properties of Sets of Differences in Z^m
• A Combinatorial Application of the Maximal Ergodic Theorem
• Subadditive mean ergodic theorems
• On difference sets of sequences of integers. I
• Estimating random polynomials by means of metric entropy methods

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