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arXiv · 2503.02347

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

Xianqiang Li
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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. 2025-03-04. Equivalence between sofic metric mean dimension and sofic $p$-metric mean dimension with a product formula. https://arxiv.org/abs/2503.02347

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