Un théorème de disjonction de systèmes dynamiques et une généralisation du théorème ergodique de Wiener—Wintner

DOI10.1017/S014338570000571XzbMath0688.28008OpenAlexW2124197166MaRDI QIDQ4206969

Emmanuel Lesigne

Publication date: 1990

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338570000571x

zbMATH Keywords

measure-preserving systemWiener-Wintner theoremisometric extensionsindividual ergodic theoremdisjointness of dynamical systems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items

Automatic sequences as good weights for ergodic theorems ⋮ van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups ⋮ On the rate of convergence of weighted oscillating ergodic averages ⋮ Maximal pronilfactors and a topological Wiener-Wintner theorem ⋮ Topological Wiener-Wintner ergodic theorem with polynomial weights ⋮ A canonical structure theorem for finite joining-rank maps ⋮ Divergence of weighted square averages in \(L^1\) ⋮ Extension of Wiener-Wintner double recurrence theorem to polynomials ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ Convergence of weighted polynomial multiple ergodic averages ⋮ Furstenberg systems of Hardy field sequences and applications

Cites Work

• Unnamed Item
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Strict Ergodicity and Transformation of the Torus
• Harmonic Analysis and Ergodic Theory