Positive Transfer Operators And Decay Of Correlations Hardback
by Viviane (Cnrs, Univ De Paris-sud, France) Baladi
Part of the Advanced Series in Nonlinear Dynamics series
Hardback
Description
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description.
Indeed, there often exist ergodic invariant measures with special additional features.
For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system "mixes", i.e. "forgets" its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems.
Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
Information
-
Item not Available
- Format:Hardback
- Pages:324 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:12/07/2000
- Category:
- ISBN:9789810233280
Information
-
Item not Available
- Format:Hardback
- Pages:324 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:12/07/2000
- Category:
- ISBN:9789810233280
