| Semi-Markov Random Evolutions 1995 Edition Contributor(s): Korolyuk, Vladimir S. (Author), Swishchuk, Anatoly (Author) |
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ISBN: 9401044392 ISBN-13: 9789401044394 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: December 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis |
| Dewey: 515.45 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.68" H x 6.14" W x 9.21" (1.00 lbs) 310 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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, i.e., by the semigroup of oper- ators describing the evolution of the system in the semi-Markov random medium. |