Equivalence between sofic metric mean dimension and sofic p-metric mean dimension with a product formula

2025/03/04 by X. Li, Li, Xianqiang
Mathematics · Computer Science · Decision Sciences · #Fixed Point Theorems Analysis #Graph Labeling and Dimension Problems #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.2503.02347

Abstract

In this paper, we prove the equivalence between sofic p-metric mean dimension and sofic metric mean dimension. This answers a question of Hayes in \citeHB . Furthermore, we establish the product formula for the sofic p-metric mean dimension.

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