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

Published 4 Mar 2025 in math.CA and math.DS | (2503.02347v1)

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 \cite{HB }. Furthermore, we establish the product formula for the sofic $p$-metric mean dimension.

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Xianqiang Li

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