On the convergence to 0 of mnξ\, mod\,1

DOI10.4064/aa165-4-2zbMath1310.11079arXiv1312.2510OpenAlexW2337222711MaRDI QIDQ2921805

Bassam Fayad, Jean-Paul Thouvenot

Publication date: 13 October 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2510

zbMATH Keywords

exceptional pointsweak mixingrigidity sequenceslimit points of Kronecker sequences

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (5)

Kazhdan constants, continuous probability measures with large Fourier coefficients and rigidity sequences ⋮ Nilsequences and multiple correlations along subsequences ⋮ Full divergence and maximal functions with cancellation ⋮ Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮ Rigidity, weak mixing, and recurrence in abelian groups

Cites Work

• Rigidity and non-recurrence along sequences
• Tower multiplexing and slow weak mixing
• On sequences $(a_n \xi )_{n \ge 1}$ converging modulo $1$

This page was built for publication: On the convergence to 0 of m_nξ\, mod\,1