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Zero entropy versus infinite entropy

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  • We construct a pair of equivalent flows with fixed points, such that one has infinite topological entropy and the other has zero topological entropy.
    Mathematics Subject Classification: 37C15, 34C28, 37A10.


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  • [1]

    T. Ohno, A weak equivalence and topological entropy, Publ. RIMS, Kyoto Univ., 16 (1980), 289-298.doi: 10.2977/prims/1195187508.


    W. Sun and E. Vargas, Entropy of flows, revisited, Bol. Soc. Bra. Mat., 30 (1999), 313-333.doi: 10.1007/BF01239009.


    W. Sun, T. Young and Y. Zhou, Topological entropies of equivalent smooth flows, Trans. Amer. Math. Soc., 361 (2009), 3071-3082.doi: 10.1090/S0002-9947-08-04743-0.


    R. Thomas, Topological entropy of fixed-point free flows, Trans. Amer. Math. Soc., 319 (1985), 601-618.doi: 10.2307/2001256.


    P. Walters, "An Introduction to Ergodic Theory," Springer-Verlag, 1982.

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