Metric mean dimension of irregular sets for maps with shadowing

Autor:	Foryś-Krawiec, Magdalena, Oprocha, Piotr
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We study the metric mean dimension of $\Phi$-irregular set $I_{\Phi}(f)$ 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 $I_{\Phi}(f)\cap B(Y,\varepsilon)\cap CR(f)$ are bounded from below by the respective values for class $Y$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.03503 Zobrazit plný text záznamu View this record from Arxiv