DYNAMICAL ZETA-FUNCTIONS FOR MAPS OF THE INTERVAL

A dynamical zeta function zeta and a transfer operator L are associate d with a piecewise monotone map f of the interval [0, 1] and a weight function g. The analytic properties of zeta and the spectral propertie s of L are related by a theorem of Baladi and Keller under an assumpti on of ''generating partition''. It is shown here how to remove this as sumption and, in particular, extend the theorem of Baladi and Keller t o the case when f has negative Schwarzian derivative.