Mean Diameter, Regularity and Diam-Mean Equicontinuity
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915577238388736 |
|---|---|
| author | Hauser, Till |
| author_facet | Hauser, Till |
| contents | In the context of (not necessarily minimal) actions, we consider the mean diameter and use it to characterize regular factor maps. Building on this characterization, we prove that an action is diam-mean equicontinuous if and only if it is a regular extension of its maximal equicontinuous factor. Furthermore, we establish the existence of a maximal diam-mean equicontinuous factor and discuss stability properties of regular factor maps. For this, we work in the context of actions of locally compact and $σ$-compact amenable groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mean Diameter, Regularity and Diam-Mean Equicontinuity Hauser, Till Dynamical Systems 37B05 (Primary) 37B25, 37A05 (Secondary) In the context of (not necessarily minimal) actions, we consider the mean diameter and use it to characterize regular factor maps. Building on this characterization, we prove that an action is diam-mean equicontinuous if and only if it is a regular extension of its maximal equicontinuous factor. Furthermore, we establish the existence of a maximal diam-mean equicontinuous factor and discuss stability properties of regular factor maps. For this, we work in the context of actions of locally compact and $σ$-compact amenable groups. |
| title | Mean Diameter, Regularity and Diam-Mean Equicontinuity |
| topic | Dynamical Systems 37B05 (Primary) 37B25, 37A05 (Secondary) |
| url | https://arxiv.org/abs/2510.22484 |