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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval: No. 4 (CRM Monograph Series) - Hardcover
Inhaltsangabe
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. The second part is a detailed study of the zeta functions associated with piecewise monotone maps of the interval $[0,1]$. In particular, Ruelle 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. He also proves a theorem expressing the largest eigenvalue of the transfer operator in terms of the ergodic properties of $(M,f,g)$. This series is published by the AMS for the Centre de Recherches Math\'ematiques. This book is intended for researchers in mathematics and mathematical physics.
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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. The second part is a detailed study of the zeta functions associated with piecewise monotone maps of the interval $[0,1]$. In particular, Ruelle 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. He also proves a theorem expressing the largest eigenvalue of the transfer operator in terms of the ergodic properties of $(M,f,g)$. This series is published by the AMS for the Centre de Recherches Math\'ematiques. This book is intended for researchers in mathematics and mathematical physics.
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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval
Verlag:
American Mathematical Society, 1994
ISBN 10: 0821869914
ISBN 13: 9780821869918
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Hardcover
Anbieter: Michener & Rutledge Booksellers, Inc., Baldwin City, KS, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good+. Text clean and tight; no dust jacket; Crm Monograph, Vol 4; 0.5 x 10.5 x 7.5 Inches; 62 pages. Bestandsnummer des Verkäufers 210389
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Beispielbild für diese ISBN
Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (Crm Monograph Series)
Verlag:
Amer Mathematical Society, 1994
ISBN 10: 0821869914
ISBN 13: 9780821869918
Gebraucht
Hardcover
Anbieter: DFTP Holdings, DAYTON, OH, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. - BOOK IN GREAT CONDITION - -Used Texts May Have Used Book Stickers on the Cover. Used texts may NOT contain supplemental materials such as CD's, info-trac, access codes, etc. Satisfaction Guaranteed! Bestandsnummer des Verkäufers 2023558
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