Density of natural numbers and the Lévy group

DOI10.1016/0022-314X(88)90003-0zbMath0658.10065OpenAlexW1999906682MaRDI QIDQ1111606

Nobuaki Obata

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(88)90003-0

zbMATH Keywords

invariantasymptotic densityprobability measureergodicLévy grouprearrangement of uniformly distributed sequences

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Measure-preserving transformations (28D05) Density, gaps, topology (11B05) General theory of distribution modulo (1) (11K06) Probabilistic methods in group theory (20P05) Infinite automorphism groups (20B27)

Related Items (12)

A characterization of Cesàro average utility ⋮ Lévy group and density measures ⋮ May's theorem in an infinite setting ⋮ Permutations that preserve asymptotically null sets and statistical convergence ⋮ Density of sets of natural numbers and the Lévy group ⋮ A remark about the density of the orbits of the Collatz permutation ⋮ Note on a subgroup of Levy’s group ⋮ Lévy group action and invariant measures on 𝛽{ℕ} ⋮ SOME REMARKS ON PERMUTATIONS WHICH PRESERVE THE WEIGHTED DENSITY ⋮ A characterization of \((\mathcal{I,J})\)-regular matrices ⋮ Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences ⋮ A characterization of the Lévy Laplacian in terms of infinite dimensional rotation groups

Cites Work

• A general rearrangement theorem for sequences
• A note on certain permutation groups in the infinite dimensional rotation group
• Probability methods in some problems of analysis and number theory
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