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Symbolic extension entropy: $c^r$ examples, products and flows

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  • Adapting techniques of Misiurewicz, for $1\leq r < \infty$ we give an explicit construction of $C^r$ maps with positive residual entropy. We also establish the behavior of symbolic extension entropy with respect to joinings, fiber products, products, powers and flows.
    Mathematics Subject Classification: Primary: 37B10; Secondary: 37B40, 37C40, 37C45,37C99, 37D35.

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