The error term in the prime orbit theorem for expanding semiflows

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    4 Citations (Scopus)


    We consider suspension semiflows of angle-multiplying maps on the circle and study the distributions of periods of their periodic orbits. Under generic conditions on the roof function, we give an asymptotic formula on the number of prime periodic orbits with period . The error term is bounded, at least, by for arbitrarily small ϵ>0, where and are, respectively, the topological entropy and the maximal Lyapunov exponent of the semiflow.

    Original languageEnglish
    Pages (from-to)1954-2000
    Number of pages47
    JournalErgodic Theory and Dynamical Systems
    Issue number5
    Publication statusPublished - Aug 1 2018

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)
    • Applied Mathematics


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