Relative stationary dynamical systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916262129434624 |
|---|---|
| author | Amrutam, Tattwamasi Klötzer, Martin Oppelmayer, Hanna |
| author_facet | Amrutam, Tattwamasi Klötzer, Martin Oppelmayer, Hanna |
| contents | Let $G$ be a locally compact second countable group equipped with an admissible non-degenerate Borel probability measure $μ$. We generalize the notion of $μ$-stationary systems to $μ$-stationary $G$-factor maps $π: (X,ν)\to (Y,η)$. For these stationary relations between dynamical systems, we provide a structure theorem, which generalizes the structure theorem of Furstenberg-Glasner. Furthermore, we show the existence and uniqueness of a relative version of the Poisson boundary in this setup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17122 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relative stationary dynamical systems Amrutam, Tattwamasi Klötzer, Martin Oppelmayer, Hanna Dynamical Systems Functional Analysis 37A50 (Primary) 22F10, 37B05, 60J50 (Secondary) Let $G$ be a locally compact second countable group equipped with an admissible non-degenerate Borel probability measure $μ$. We generalize the notion of $μ$-stationary systems to $μ$-stationary $G$-factor maps $π: (X,ν)\to (Y,η)$. For these stationary relations between dynamical systems, we provide a structure theorem, which generalizes the structure theorem of Furstenberg-Glasner. Furthermore, we show the existence and uniqueness of a relative version of the Poisson boundary in this setup. |
| title | Relative stationary dynamical systems |
| topic | Dynamical Systems Functional Analysis 37A50 (Primary) 22F10, 37B05, 60J50 (Secondary) |
| url | https://arxiv.org/abs/2405.17122 |