Homogeneously distributed sequences and Poincaré sequences of integers of sublacunary growth

DOI10.1007/BF01605486zbMath0517.10051OpenAlexW1982833114MaRDI QIDQ1053060

Michael D. Boshernitzan

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178146

zbMATH Keywords

recurrent sequenceshomogeneously distributed sequencesPoincaré sequences of integers of sublacunary growth

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) General theory of distribution modulo (1) (11K06)

Related Items

Ensembles intersectifs et récurrence de Poincaré. (Intersective sets and Poincaré recurrence) ⋮ Some open problems on multiple ergodic averages ⋮ Equidistribution of sparse sequences on nilmanifolds ⋮ Unimodular eigenvalues, uniformly distributed sequences and linear dynamics ⋮ Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences ⋮ Random differences in Szemerédi's theorem and related results ⋮ Recurrence properties of sequences of integers ⋮ Discrépances de suites homothétiques. (Discrepancy of homothetic sequences) ⋮ Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮ On uniform distribution of polynomials and good universality ⋮ On uniformly distributed sequences of integers and Poincaré recurrence ⋮ Analytically defined uniformly dense sequences

Cites Work

• On the Set of Points of Convergence of a Lacunary Trigonometric Series and the Equidistribution Properties of Related Sequences
• Poincaré recurrence and number theory
• Well Distributed Sequences of Integers
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