RECURRENCE PROPERTIES OF SEQUENCES OF INTEGERS

Fan Ai-Hua (1) , Dominique Schneider (2)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352
2 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

In order to study the recurrence of sequences of integers, we investigate their L2-exactness and Θ-Hartman property (Θ being a set of rational numbers). Two classes of sequences of integers are well studied, which are return times relative to a weakly mixing system and Bernoulli random sequences.

Domaines: Mathématiques [math]

Fan Ai-Hua, Dominique Schneider. RECURRENCE PROPERTIES OF SEQUENCES OF INTEGERS. 2022. ⟨hal-03672933⟩