Basic concepts, exact results, and asymptotic approximations

著者

• Kli︠a︡t︠s︡kin, Valeriĭ Isaakovich
• Vinogradov, A.

書誌事項

Basic concepts, exact results, and asymptotic approximations

Valery I. Klyatskin ; translated from Russian by A. Vinogradov

（Understanding complex systems / founding editor, J.A. Scott Kelso, . Stochastic equations : theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics ; v. 1）（Springer complexity）

Springer, c2015

注記

Includes bibliographical references (p. [407]-413) and index

内容説明・目次

内容説明

This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.

目次

Dynamical description of stochastic systems.- Random quantities, processes, and fields.- Stochastic equations.- Asymptotic methods for analyzing stochastic equations.

「Nielsen BookData」 より

• NII書誌ID(NCID): BB16545089
• ISBN:
  • 9783319075860
• LCCN: 2014941222
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cham
• ページ数/冊数: xix, 418 p.
• 大きさ: 25 cm
• 分類:
  • DC23 : 530.15923
• 件名:
  • LCSH : Stochastic processes
  • LCSH : Mathematical physics
• 親書誌ID:
  • BA68419035
  • BA69338085