Lectures on Dynamics of Stochastic Systems

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Lectures on Dynamics of Stochastic Systems by Valery I. Klyatskin, Elsevier Science
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Author: Valery I. Klyatskin ISBN: 9780123849670
Publisher: Elsevier Science Publication: September 9, 2010
Imprint: Elsevier Language: English
Author: Valery I. Klyatskin
ISBN: 9780123849670
Publisher: Elsevier Science
Publication: September 9, 2010
Imprint: Elsevier
Language: English

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data.

This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena.

  • A comprehensive update of Dynamics of Stochastic Systems
  • Develops mathematical tools of stochastic analysis and applies them to a wide range of physical models of particles, fluids and waves
  • Includes problems for the reader to solve
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Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data.

This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena.

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