Periodic orbits and dynamical spectra (Survey)
- 1 April 1998
- journal article
- review article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 18 (2) , 255-292
- https://doi.org/10.1017/s0143385798113925
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.Keywords
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