Dynamical Zeta Functions for Maps of the Interval
Open Access
- 1 January 1994
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 30 (2) , 212-215
- https://doi.org/10.1090/s0273-0979-1994-00489-6
Abstract
A dynamical zeta function and a transfer operator are associated with a piecewise monotone map of the interval [0, 1] and a weight function . The analytic properties of and the spectral properties of 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 has negative Schwarzian derivative.Keywords
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