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POSITIVE TRANSFER OPERATORS AND DECAY OF CORRELATIONS: 16 (ADVANCED SERIES IN NONLINEAR DYNAMICS) - Tapa dura

Baladi Viviane

 
9789810233280: POSITIVE TRANSFER OPERATORS AND DECAY OF CORRELATIONS: 16 (ADVANCED SERIES IN NONLINEAR DYNAMICS)
Tapa dura
ISBN 10: 9810233280 ISBN 13: 9789810233280
Editorial: World Scientific, 2000

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

Reseña del editor

Aimed at mathematicians and mathematical physicists, this text demonstrates how the powerful technology of transfer operators, imported from statistical physics, has been used 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 also explained.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific
Año de publicación
2000
Idioma
Inglés
ISBN 10 
9810233280
ISBN 13 
9789810233280
Encuadernación
Tapa dura
Número de páginas
326
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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Alemania