Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (CRM Monograph Series)

Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (CRM Monograph Series)

by David Ruelle (Author)

Synopsis

With a general introduction to the subject, this title presents a detailed study of the zeta functions associated with piecewise monotone maps of the interval $[0,1]$. In particular, it gives a proof of a generalized form of the Baladi-Keller theorem relating the poles of $\zeta (z)$ and the eigenvalues of the transfer operator.

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More Information

Format: Paperback
Pages: 62
Edition: New edition
Publisher: American Mathematical Society
Published: 05 Oct 2006

ISBN 10: 0821836013
ISBN 13: 9780821836019