TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET

Yu Pei (), Ercai Chen () and Kui Yao
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Yu Pei: Army Engineering University of PLA, Nanjing 211101, P. R. China
Ercai Chen: Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China
Kui Yao: Army Engineering University of PLA, Nanjing 211101, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-10

Abstract: This paper investigates the multifractal structure due to the recurrence under the nth Bowen metric on the dynamical system. It is shown that the set with the given lower and upper recurrence rates can have the full topological pressure, if the system (X,d,T) with specification property is non-minimal, and T is positively expansive.

Keywords: Topological Pressure; Poincaré Recurrence; Specification Property; Moran Fractal (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502042

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