Weighted Birkhoff ergodic theorem with oscillating weights - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2019

Weighted Birkhoff ergodic theorem with oscillating weights

(1)
1

Résumé

We consider sequences of Davenport type or Gelfond type and prove that sequences of Davenport exponent larger than 1/2 are good sequences of weights for the ergodic theorem, and that the ergodic sums weighted by a sequence of strong Gelfond property are well controlled almost everywhere. We prove that for any q-multiplicative sequence, the Gelfond property implies the strong Gelfond property and that sequences realized by dynamical systems can be fully oscillating and have the Gelfond property.

Dates et versions

hal-03621998 , version 1 (28-03-2022)

Identifiants

Citer

Ai-Hua Fan. Weighted Birkhoff ergodic theorem with oscillating weights. Ergodic Theory and Dynamical Systems, 2019, 39 (5), pp.1275-1289. ⟨10.1017/etds.2017.81⟩. ⟨hal-03621998⟩
6 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More