Dynamical Zeta Functions for Maps of the Interval

DOI10.1090/S0273-0979-1994-00489-6zbMath0804.58043MaRDI QIDQ4299215

David Pierre Ruelle

Publication date: 12 January 1995

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

transfer operatormaps of the intervaldynamical zeta-function

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99)

Related Items (1)

A thermodynamic classification of real numbers

Cites Work

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• Zeta functions and transfer operators for piecewise monotone transformations
• Piecewise invertible dynamical systems
• Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
• Zeta-functions for expanding maps and Anosov flows
• Zeta-functions and transfer-operators for piecewise linear transformations.
• Meromorphic extension of the zeta function for Axiom A flows
• An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps

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