Wiener-Wintner return-times ergodic theorem (Q1905794)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Wiener-Wintner return-times ergodic theorem |
scientific article; zbMATH DE number 836175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wiener-Wintner return-times ergodic theorem |
scientific article; zbMATH DE number 836175 |
Statements
Wiener-Wintner return-times ergodic theorem (English)
0 references
13 February 1996
0 references
The authors consider ergodic averages of the form \({1\over N} \sum e^{in\lambda} f'(S^n y). f(T^n x)\). They investigate how these averages are related to (and characterize) a new factor of the system (and its orthogonal) -- the maximal factor of the type ``Abelian group extension of a group rotation'' which satisfies a certain functional equation.
0 references
Wiener-Wintner return-times
0 references
ergodic averages
0 references
maximal factor
0 references
0 references
0.8925012
0 references
0 references
0.8661594
0 references
0.86378884
0 references
0.86238956
0 references