Measure-theoretic metric mean dimension
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909301602254848 |
|---|---|
| author | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| author_facet | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| contents | For infinite measure-theoretic entropy systems, we introduce the notion of measure-theoretic metric mean dimension of invariant measures for different types of measure-theoretic $ε$-entropies, and show that measure-theoretic metric mean dimensions of different types of measure-theoretic $ε$-entropies coincide with the packing metric mean dimension of the set of generic points of ergodic measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_12251 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Measure-theoretic metric mean dimension Yang, Rui Chen, Ercai Zhou, Xiaoyao Dynamical Systems For infinite measure-theoretic entropy systems, we introduce the notion of measure-theoretic metric mean dimension of invariant measures for different types of measure-theoretic $ε$-entropies, and show that measure-theoretic metric mean dimensions of different types of measure-theoretic $ε$-entropies coincide with the packing metric mean dimension of the set of generic points of ergodic measures. |
| title | Measure-theoretic metric mean dimension |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2203.12251 |