On uniformly distributed sequences of integers and Poincaré recurrence

DOI10.1016/S0019-3577(97)87567-2zbMath0922.11064MaRDI QIDQ1279768

K. Appert

Publication date: 1 June 1999

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

zbMATH Keywords

Poincaré recurrenceHartmann-uniformly distributed sequences

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) General theory of distribution modulo (1) (11K06)

Related Items (6)

On random perturbation of some intersective sets. ⋮ On uniform distribution of polynomials and good universality ⋮ On asymptotic distribution on the \({\mathbf a}\)-adic integers ⋮ On uniformly distributed sequences of integers and Poincaré recurrence III ⋮ On uniformly distributed sequences of integers and Poincaré recurrence. II ⋮ MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS

Cites Work

• Homogeneously distributed sequences and Poincaré sequences of integers of sublacunary growth
• Ensembles intersectifs et récurrence de Poincaré. (Intersective sets and Poincaré recurrence)
• Van der Corput's difference theorem
• Uniform Distribution of Sequences of Integers
• On certain solutions of the diophantine equation x-y = p(z)
• Entire Functions and Uniform Distribution Modulo 1
• Uniform Distribution in Locally Compact Abelian Groups
• Generalized Summing Sequences and the Mean Ergodic Theorem
• Sur la répartition modulo I des suites f(p)
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