Metric mean dimension of irregular sets for maps with shadowing
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911746936012800 |
|---|---|
| author | Foryś-Krawiec, Magdalena Oprocha, Piotr |
| author_facet | Foryś-Krawiec, Magdalena Oprocha, Piotr |
| contents | We study the metric mean dimension of $Φ$-irregular set $I_Φ(f)$ in dynamical systems with the shadowing property. In particular we prove that for dynamical systems with shadowing containing a chain recurrent class $Y$, the values of topological entropy together with the values of lower and upper metric mean dimension of the set $I_Φ(f)\cap B(Y,\varepsilon)\cap CR(f)$ are bounded from below by the respective values for class $Y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03503 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Metric mean dimension of irregular sets for maps with shadowing Foryś-Krawiec, Magdalena Oprocha, Piotr Dynamical Systems We study the metric mean dimension of $Φ$-irregular set $I_Φ(f)$ in dynamical systems with the shadowing property. In particular we prove that for dynamical systems with shadowing containing a chain recurrent class $Y$, the values of topological entropy together with the values of lower and upper metric mean dimension of the set $I_Φ(f)\cap B(Y,\varepsilon)\cap CR(f)$ are bounded from below by the respective values for class $Y$. |
| title | Metric mean dimension of irregular sets for maps with shadowing |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2211.03503 |