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Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
 
Yuri Kifer Hebrew University, Jerusalem, Israel
Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
eBook ISBN:  978-1-4704-0558-8
Product Code:  MEMO/201/944.E
List Price: $71.00
MAA Member Price: $63.90
AMS Member Price: $42.60
Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
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Large Deviations and Adiabatic Transitions for Dynamical Systems and Markov Processes in Fully Coupled Averaging
Yuri Kifer Hebrew University, Jerusalem, Israel
eBook ISBN:  978-1-4704-0558-8
Product Code:  MEMO/201/944.E
List Price: $71.00
MAA Member Price: $63.90
AMS Member Price: $42.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2012009; 129 pp
    MSC: Primary 34; Secondary 37; 60

    The work treats dynamical systems given by ordinary differential equations in the form \(\frac{dX^\varepsilon(t)}{dt}=\varepsilon B(X^\varepsilon(t),Y^\varepsilon(t))\) where fast motions \(Y^\varepsilon\) depend on the slow motion \(X^\varepsilon\) (coupled with it) and they are either given by another differential equation \(\frac{dY^\varepsilon(t)}{dt}=b(X^\varepsilon(t), Y^\varepsilon(t))\) or perturbations of an appropriate parametric family of Markov processes with freezed slow variables.

  • Table of Contents
     
     
    • Chapters
    • Preface
    • Part 1. Hyperbolic Fast Motions
    • Part 2. Markov Fast Motions
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2012009; 129 pp
MSC: Primary 34; Secondary 37; 60

The work treats dynamical systems given by ordinary differential equations in the form \(\frac{dX^\varepsilon(t)}{dt}=\varepsilon B(X^\varepsilon(t),Y^\varepsilon(t))\) where fast motions \(Y^\varepsilon\) depend on the slow motion \(X^\varepsilon\) (coupled with it) and they are either given by another differential equation \(\frac{dY^\varepsilon(t)}{dt}=b(X^\varepsilon(t), Y^\varepsilon(t))\) or perturbations of an appropriate parametric family of Markov processes with freezed slow variables.

  • Chapters
  • Preface
  • Part 1. Hyperbolic Fast Motions
  • Part 2. Markov Fast Motions
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.