## 3-Day Sale | Save $10. Get the code » # Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval ## by David Ruelle Write The First Customer Review ##### Browse related Subjects + Browse All Subjects Consider a space$M$, a map$f: M\to M$, and a function$g: M \to {\Bbb C $. The formal power series$\zeta(z) = \exp \sum infty_{m=1 \frac{z {m \sum_{x \in \roman{Fix \, f \prod m-1 _{k=0 g (f x)\$ yields an example of a dynamical zeta function. Such functions have unexpected analytic properties and interesting relations to the theory of dynamical systems, statistical mechanics, and the spectral theory of certain operators (transfer operators). The first part of this monograph presents a general introduction to this subject ...

 1994, American Mathematical Society(RI) ISBN-13: 9780821869918 Hardcover