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· 2023

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math.DS 1

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Entropies of compact subsets and supported measures

math.DS · 2026-08-10 · conditional · novelty 7.0

For a compact subset K of a topological dynamical system, upper capacity entropy of K is zero exactly when the induced measure system on M(K) has zero entropy, otherwise the latter is infinite; packing entropies vanish together; but Bowen entropy of M(K) can be infinite while Bowen entropy of K is…

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  • Entropies of compact subsets and supported measures math.DS · 2026-08-10 · conditional · none · ref 7

    For a compact subset K of a topological dynamical system, upper capacity entropy of K is zero exactly when the induced measure system on M(K) has zero entropy, otherwise the latter is infinite; packing entropies vanish together; but Bowen entropy of M(K) can be infinite while Bowen entropy of K is…