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Periodic orbits and dynamical spectra (Survey)

Published online by Cambridge University Press:  01 April 1998

VIVIANE BALADI
Affiliation:
Section de Mathématiques, Université de Genève, 1211 Geneva 24, Switzerland (e-mail: [email protected])

Abstract

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.

Type
Review Article
Copyright
1998 Cambridge University Press

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