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Metric Mean Dimension in Shadowing Systems by kyryloxz is a document available to read on EtoBox.
This paper investigates the metric mean dimension of Φ-irregular sets in dynamical systems exhibiting the shadowing property. It establishes that for systems with a chain recurrent class, the topological entropy and metric mean dimensions of specific subsets of irregular sets are bounded below by those of the class itself. The main theorem provides conditions under which these bounds hold, while also leaving open questions regarding the equality of certain dimensions.
- Author
- kyryloxz
- Language
- EN