Periodic number for Anosov maps |
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Authors: | Sun Wenxiang |
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Institution: | (1) Department of Computer Science, Zhongshan University, 510275 Guangzhou, China |
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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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Keywords: | Specification property POTP Anosov map |
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