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Periodic orbits and dynamical spectra (Survey)

Published online by Cambridge University Press:  01 April 1998

VIVIANE BALADI
VIVIANE BALADI
Affiliation:
Section de Mathématiques, Université de Genève, 1211 Geneva 24, Switzerland (e-mail: Viviane.Baladi@math.unige.ch)
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Abstract

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Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined generalized Fredholm determinants are presented. Analytic properties of the zeta functions or determinants are related to statistical properties of the dynamics via spectral properties of dynamical transfer operators, acting on Banach spaces of observables.

Information

Type
Review Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 2 , April 1998 , pp. 255 - 292
Copyright
1998 Cambridge University Press