Universal Weighted Averaging for Ergodic Flows
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909925220810752 |
|---|---|
| author | Ryzhikov, Valery V. |
| author_facet | Ryzhikov, Valery V. |
| contents | This paper studies homothetic and more general weighted averages for flows. Absolutely continuous convolutions of singular weights are considered, thereby strengthening Kozlov-Treshchev's result on nonuniform averages for ergodic flows. The concept of almost mixing, formulated in terms of homothetic weighted average convergences, is proposed. An example of a non-mixing almost mixing flow is given. It is proven that rigid flows are not almost mixing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Weighted Averaging for Ergodic Flows Ryzhikov, Valery V. Dynamical Systems This paper studies homothetic and more general weighted averages for flows. Absolutely continuous convolutions of singular weights are considered, thereby strengthening Kozlov-Treshchev's result on nonuniform averages for ergodic flows. The concept of almost mixing, formulated in terms of homothetic weighted average convergences, is proposed. An example of a non-mixing almost mixing flow is given. It is proven that rigid flows are not almost mixing. |
| title | Universal Weighted Averaging for Ergodic Flows |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.09229 |