Zeta functions for certain non-hyperbolic systems and topological Markov approximations

DOI10.1017/S0143385798117972zbMath0915.58060OpenAlexW1966208406MaRDI QIDQ4236016

Michiko Yuri

Publication date: 5 July 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798117972

zbMATH Keywords

Markov systemsthermodynamic formalismsymbolic dynamicsGibbs measureMarkov approximationnon-hyperbolic systemscountable generating definite partitionsfinite range structure (FRS) conditionpiecewise invertible multidimensional mapsproduct formula of zeta functions for weighted functionsradius of convergence in terms of pressure

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Ergodic theory (37A99)

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