## Autumn Sale | Save $12. Get the code » # Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval ## by David Ruelle Write The First Customer Review ##### Browse related Subjects + Browse All Subjects Consider a space$M$, a map$f:M\to M$, and a function$g:M \to {\mathbb C}$. The formal power series$\zeta (z) = \exp \sum ^\infty_{m=1} \frac {z^m} {m} \sum_{x \in \mathrm {Fix}\,f^m} \prod ^{m-1}_{k=0} g (f^kx)\$ 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 ...

 2004, American Mathematical Society, Providence ISBN-13: 9780821836019 New edition Paperback 1994, American Mathematical Society(RI) ISBN-13: 9780821869918 Hardcover