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

math.DS · 2025-07-04 · accept · novelty 8.0

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 for ℓ_q^n inside ℓ_∞^m.

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  • Local entropy theory, combinatorics, and local theory of Banach spaces math.DS · 2025-07-04 · accept · none · ref 5

    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 for ℓ_q^n inside ℓ_∞^m.