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Semi-Markov Random Evolutions (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R2,971
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Semi-Markov Random Evolutions (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Mathematics and Its Applications, 308
Expected to ship within 10 - 15 working days
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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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