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Stochastic Properties of Dynamical Systems
 
Françoise Pène UBO, UFR Sciences et Techniques Département de Mathématics, Brest, France
A publication of the Société Mathématique de France
Lecture Notes on the Gaussian Free Field
Hardcover ISBN:  978-2-85629-967-8
Product Code:  COSP/30
List Price: $81.00
AMS Member Price: $64.80
Please note AMS points can not be used for this product
Lecture Notes on the Gaussian Free Field
Click above image for expanded view
Stochastic Properties of Dynamical Systems
Françoise Pène UBO, UFR Sciences et Techniques Département de Mathématics, Brest, France
A publication of the Société Mathématique de France
Hardcover ISBN:  978-2-85629-967-8
Product Code:  COSP/30
List Price: $81.00
AMS Member Price: $64.80
Please note AMS points can not be used for this product
  • Book Details
     
     
    Cours Spécialisés
    Volume: 302023; 276 pp
    MSC: Primary 37; 60; 47

    This book provides an introduction to the study of the stochastic properties of probability preserving dynamical systems. The material is suitable for master's students who have completed their first year. The definitions and results are illustrated by examples and corrected exercises. The book presents the notions of Poincaré's recurrence, of ergodicity, of mixing and also sheds light on existing links between dynamical systems and Markov chains. The final objective of this book is to present three methods for establishing central limit theorems in the context of chaotic dynamical systems: a first method based on martingale approximations, a second method based on perturbation of quasi-compact linear operators, and a third method based on decorrelation estimates.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and researchers.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 302023; 276 pp
MSC: Primary 37; 60; 47

This book provides an introduction to the study of the stochastic properties of probability preserving dynamical systems. The material is suitable for master's students who have completed their first year. The definitions and results are illustrated by examples and corrected exercises. The book presents the notions of Poincaré's recurrence, of ergodicity, of mixing and also sheds light on existing links between dynamical systems and Markov chains. The final objective of this book is to present three methods for establishing central limit theorems in the context of chaotic dynamical systems: a first method based on martingale approximations, a second method based on perturbation of quasi-compact linear operators, and a third method based on decorrelation estimates.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and researchers.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.