Semi-Markov random evolutions
By: by V. Korolyuk and A. Swishchuk.
Contributors: Svishchuk, A. V.
Series: Mathematics and its applications ;; v. 308; Mathematics and its applications (Kluwer Academic Publishers) ;; v. 308.
Publisher: Kluwer Academic Publishers
Published: 1995
Place of publication: Dordrecht; Boston
Language: eng
Number of pages: 310
Subjects: Stochastic processes.; Markov processes.; Functional analysis.; Mathematical physics.
Description: The evolution of systems is a growing field of interest stimulated by many possible applications. This book is devoted to semi-Markov random evolutions (SMRE). This class of evolutions is rich enough to describe the evolutionary systems changing their characteristics under the influence of random factors. At the same time there exist efficient mathematical tools for investigating the SMRE.

The topics addressed in this book include classification, fundamental properties of the SMRE, averaging theorems, diffusion approximation and normal deviations theorems for SMRE in ergodic case and in the scheme of asymptotic phase lumping. Both analytic and stochastic methods for investigation of the limiting behaviour of SMRE are developed.

. This book includes many applications of rapidly changing semi-Markov random, media, including storage and traffic processes, branching and switching processes, stochastic differential equations, motions on Lie Groups, and harmonic oscillations.
Notes: Includes bibliographical references (p. 289-304) and index.