Description: Semi-markov Random Evolutions, Paperback by Korolyuk, Vladimir S.; Swishchuk, Anatoly, ISBN 9401044392, ISBN-13 9789401044394, Like New Used, Free shipping in the US The evolution of systems in random media is a broad and fruitful field for the applica tions of different mathematical methods and theories. This evolution can be character ized by a semigroup property. In the abstract form, this property is given by a semigroup of operators in a normed vector (Banach) space. In the practically boundless variety of mathematical models of the evolutionary systems, we have chosen the semi-Markov ran dom evolutions as an object of our consideration. The definition of the evolutions of this type is based on rather simple initial assumptions. The random medium is described by the Markov renewal processes or by the semi Markov processes. The local characteristics of the system depend on the state of the ran dom medium. At the same time, the evolution of the system does not affect the medium. Hence, the semi-Markov random evolutions are described by two processes, namely, by the switching Markov renewal process, which describes the changes of the state of the external random medium, and by the switched process, ., by the semigroup of oper ators describing the evolution of the system in the semi-Markov random medium.
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Book Title: Semi-markov Random Evolutions
Number of Pages: X, 310 Pages
Language: English
Publication Name: Semi-Markov Random Evolutions
Publisher: Springer Netherlands
Publication Year: 2012
Subject: Functional Analysis, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, Physics / Mathematical & Computational, Mathematical Analysis
Type: Textbook
Item Weight: 18.3 Oz
Author: Vladimir S. Korolyuk, Anatoly Swishchuk
Subject Area: Mathematics, Science
Item Length: 9.4 in
Item Width: 6.3 in
Series: Mathematics and Its Applications Ser.
Format: Trade Paperback
