Positive Transfer Operators And Decay Of Correlations

Positive Transfer Operators And Decay Of Correlations

Viviane Baladi

Format: Print Book

ISBN: 9789810233280

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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.

Format: Hardcover
No of Pages: 324
Imprint: World Scientific
Publication date: 20000712
Series: Advanced Series In Nonlinear Dynamics

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