Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.21620 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916868531421184 |
|---|---|
| author | Weiss, Benjamin |
| author_facet | Weiss, Benjamin |
| contents | For a given ergodic measure preserving transformation T of a standard measure space each finite labelled partition defines an ergodic stationary process. There is a complete metric on the space of partitions which is separable. Various generic properties of these processes will be given. For example: 1. The generic partition defines a process that is not Rosenblatt mixing. 2. If T is a K-automorphism that is not Bernoulli then the generic partition is also K but not Bernoulli. Extensions to the relative setting and to actions of amenable groups will also be discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Generic Properties of Processes Weiss, Benjamin Dynamical Systems For a given ergodic measure preserving transformation T of a standard measure space each finite labelled partition defines an ergodic stationary process. There is a complete metric on the space of partitions which is separable. Various generic properties of these processes will be given. For example: 1. The generic partition defines a process that is not Rosenblatt mixing. 2. If T is a K-automorphism that is not Bernoulli then the generic partition is also K but not Bernoulli. Extensions to the relative setting and to actions of amenable groups will also be discussed. |
| title | Some Generic Properties of Processes |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2507.21620 |