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

2 avg rating
( 1 ratings by Goodreads )
 
9780821836019: Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (CRM Monograph Series)
View all copies of this ISBN edition:
 
 

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 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 $(M,f,g)$.

"synopsis" may belong to another edition of this title.

Review:

David Ruelle always has something interesting to say ... and this ... book is no exception. --The Bulletin of Mathematics Books

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 24.00
US$ 27.80

Convert currency

Shipping: FREE
From United Kingdom to U.S.A.

Destination, rates & speeds

Add to Basket

Other Popular Editions of the Same Title

9780821869918: Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval (Crm Monograph Series)

Featured Edition

ISBN 10:  0821869914 ISBN 13:  9780821869918
Publisher: Amer Mathematical Society, 1994
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

David Ruelle
Published by American Mathematical Society, United States (2004)
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, United States, 2004. Paperback. Condition: New. Language: English . Brand New Book. 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 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 $(M,f,g)$. Seller Inventory # AAN9780821836019

More information about this seller | Contact this seller

Buy New
US$ 27.80
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

2.

David Ruelle
Published by American Mathematical Society, United States (2004)
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Paperback Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, United States, 2004. Paperback. Condition: New. Language: English . Brand New Book. 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 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 $(M,f,g)$. Seller Inventory # AAN9780821836019

More information about this seller | Contact this seller

Buy New
US$ 32.84
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

3.

David Ruelle
Published by American Mathematical Society, Centre de Recherches Mathematiques (2004)
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Paperback Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, Centre de Recherches Mathematiques, 2004. Paperback. Condition: New. New edition. Seller Inventory # DADAX0821836013

More information about this seller | Contact this seller

Buy New
US$ 28.86
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

4.

David Ruelle
Published by American Mathematical Society
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Paperback Quantity Available: 2
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description American Mathematical Society. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821836019

More information about this seller | Contact this seller

Buy New
US$ 24.08
Convert currency

Add to Basket

Shipping: US$ 9.12
From United Kingdom to U.S.A.
Destination, rates & speeds

5.

David Ruelle
Published by American Mathematical Society, Centre de Recherches Mathematiques (2004)
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Softcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description American Mathematical Society, Centre de Recherches Mathematiques, 2004. Condition: New. book. Seller Inventory # M0821836013

More information about this seller | Contact this seller

Buy New
US$ 35.28
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

6.

David Ruelle
Published by American Mathematical Society (2004)
ISBN 10: 0821836013 ISBN 13: 9780821836019
New Paperback Quantity Available: 2
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description American Mathematical Society, 2004. Paperback. Condition: Brand New. new edition. 62 pages. 9.75x6.75x0.25 inches. In Stock. Seller Inventory # __0821836013

More information about this seller | Contact this seller

Buy New
US$ 33.57
Convert currency

Add to Basket

Shipping: US$ 9.86
From United Kingdom to U.S.A.
Destination, rates & speeds