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Periodic number for Anosov maps

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Abstract

LetX be a compact metric space and letf: X→X be an Anosov map,i.e., an expansive selfmap with the pseudoorbit tracing property (abbr. POTP) (see Lemma 1). IfNn(f) denotes the number of fixed points off n which we name here then-periodic number then we prove in the case asn tends to infinity thatn M≤Nn(f)≤Hn, whereM andH are two positive integers.

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Authors and Affiliations

  1. Department of Computer Science, Zhongshan University, 510275, Guangzhou, China

    Sun Wenxiang

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  1. Sun Wenxiang
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Wenxiang, S. Periodic number for Anosov maps. Acta Mathematica Sinica 13, 169–174 (1997). https://doi.org/10.1007/BF02559955

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  • DOI: https://doi.org/10.1007/BF02559955

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