Dynamical zeta functions for maps of the interval
David Ruelle
Abstract
A dynamical zeta function ζ and a transfer operator L are associated with a piecewise monotone map f of the interval [0,1] and a weight function g. The analytic properties of ζ and the spectral properties of L are related by a theorem of Baladi and Keller under an assumption of ``generating partition''. It is shown here how to remove this assumption and, in particular, extend the theorem of Baladi and Keller to the case when f has negative Schwarzian derivative.
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