SEMI-MARKOV RANDOM EVOLUTIONS Korolyuk & Swishchuk Mathematics BOOK

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Item specifics

Condition
Like New
A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“See below.”
ISBN
9780792331506
Category

About this product

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
0792331508
ISBN-13
9780792331506
eBay Product ID (ePID)
330930

Product Key Features

Number of Pages
X, 310 Pages
Language
English
Publication Name
Semi-Markov Random Evolutions
Subject
Functional Analysis, Probability & Statistics / Stochastic Processes, Probability & Statistics / General, Physics / Mathematical & Computational, Mathematical Analysis
Publication Year
1994
Type
Textbook
Author
Vladimir S. Korolyuk, A. Swishchuk
Subject Area
Mathematics, Science
Series
Mathematics and Its Applications Ser.
Format
Hardcover

Dimensions

Item Weight
23 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
94-031168
Dewey Edition
20
Series Volume Number
308
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
519.2/3
Table Of Content
1. Markov Renewal Processes.- 2. Phase Merging of Semi-Markov Processes.- 3. Semi-Markov Random Evolutions.- 4. Algorithms of Phase Averaging for Semi-Markov Random Evolutions.- 5. Compactness of Semi-Markov Random Evolutions in the Averaging Scheme.- 6. Limiting Representations for Semi-Markov Random Evolutions in the Averaging Scheme.- 7. Compactness of Semi-Markov Random Evolutions in the Diffusion Approximation.- 8. Stochastic Integral Limiting Representations of Semi-Markov Random Evolutions in the Diffusion Approximation.- 9. Application of the Limit Theorems to Semi-Markov Random Evolutions in the Averaging Scheme.- 10. Application of the Diffusion Approximation of Semi-Markov Random Evolutions to Stochastic Systems in Random Media.- 11. Double Approximation of Random Evolutions.- References.- Notation.
Synopsis
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., 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.
LC Classification Number
QA276-280

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