Positive Transfer Operators and Decay of Correlations (Advanced Series in Nonlinear Dynamics, Volume 16) - Viviane Baladi (2000)
ISBN 9810233280
Subject Linear operators
Publisher World Scientific Publishing Company
Publication Date September 2000
Format Hardcover (218 x 152 mm)
Language e
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.

Personal Details
Collection Status In Collection
Index 351
Read It Yes
Links Amazon US
Barnes & Noble
Product Details
LoC Classification QA329.2.B34 2000
Dewey 510
Cover Price $71.00
No. of Pages 324