Semi-Markov Random Evolutions (Mathematics and Its Applications)

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9789401044394: Semi-Markov Random Evolutions (Mathematics and Its Applications)
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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.

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Text: English (translation)
Original Language: Russian

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9780792331506: Semi-Markov Random Evolutions (Mathematics and Its Applications)

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ISBN 10:  0792331508 ISBN 13:  9780792331506
Publisher: Springer, 1994
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Book Description Springer, Netherlands, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Softcover reprint of the original 1st ed. 1995. Seller Inventory # AAV9789401044394

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Book Description Springer, Netherlands, 2012. Paperback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Softcover reprint of the original 1st ed. 1995. Seller Inventory # LIE9789401044394

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Book Description Springer, Netherlands, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Softcover reprint of the original 1st ed. 1995. Seller Inventory # AAV9789401044394

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Book Description Springer. Paperback. Condition: New. 310 pages. Dimensions: 9.2in. x 6.1in. x 0.7in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9789401044394

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