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Mean topological dimension of induced amenable group actions

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arxiv 2308.03270 v1 pith:PRVQVENB submitted 2023-08-07 math.DS

Ruxi Shi , Guohua Zhang This is my paper · ORCID
classification math.DS
keywords actionsamenablebs22groupaffirmativelyanswersauthorburguet
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In this paper we generalize [BS22, Main Theorem] from actions of a single transformation to amenable group actions, which answers affirmatively the question raised in [BS22] by Burguet and the first-named author of the paper.

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  1. Local entropy theory, combinatorics, and local theory of Banach spaces

    math.DS 2025-07 accept novelty 8.0 of 10

    For amenable group actions, IE-tuples of the induced measure system equal the closed convex hull of IE-tuples of the original system, with partial analogues for IN and IT tuples and a sharp n ≤ C log m embedding bound...

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