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· 2025 · arXiv 2509.16981

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math.DS 1

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2026 1

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Continuity properties of partial entropy

math.DS · 2026-05-13 · unverdicted · novelty 8.0

Partial entropies are upper semi-continuous for C^{1+α} diffeomorphisms when Lyapunov exponent sums are continuous, implying the same property at generic ergodic measures.

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  • Continuity properties of partial entropy math.DS · 2026-05-13 · unverdicted · none · ref 37

    Partial entropies are upper semi-continuous for C^{1+α} diffeomorphisms when Lyapunov exponent sums are continuous, implying the same property at generic ergodic measures.