Semi-Markov Random Evolutions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1995
|
| Series: | Mathematics and Its Applications
308 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The evolution of systems in random media is a broad and fruitful field for the applications of different mathematical methods and theories. This evolution can be characterized 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 random 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 semiMarkov processes. The local characteristics of the system depend on the state of the random 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 operators describing the evolution of the system in the semi-Markov random medium |
| Physical Description: | 1 Online-Ressource (X, 310 p) |
| ISBN: | 9789401110105 9789401044394 |
| DOI: | 10.1007/978-94-011-1010-5 |
Staff View
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| 500 | |a The evolution of systems in random media is a broad and fruitful field for the applications of different mathematical methods and theories. This evolution can be characterized 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 random 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 semiMarkov processes. The local characteristics of the system depend on the state of the random 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 operators describing the evolution of the system in the semi-Markov random medium | ||
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401110105 9789401044394 |
| language | English |
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| spelling | Korolyuk, V. Verfasser aut Semi-Markov Random Evolutions by V. Korolyuk, A. Swishchuk Dordrecht Springer Netherlands 1995 1 Online-Ressource (X, 310 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 308 The evolution of systems in random media is a broad and fruitful field for the applications of different mathematical methods and theories. This evolution can be characterized 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 random 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 semiMarkov processes. The local characteristics of the system depend on the state of the random 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 operators describing the evolution of the system in the semi-Markov random medium Statistics Functional analysis Integral equations Operator theory Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Integral Equations Operator Theory Functional Analysis Systems Theory, Control Statistik Semi-Markov-Prozess (DE-588)4180965-8 gnd rswk-swf Semi-Markov-Prozess (DE-588)4180965-8 s 1\p DE-604 Swishchuk, A. Sonstige oth Mathematics and Its Applications 308 (DE-604)BV008163334 308 https://doi.org/10.1007/978-94-011-1010-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Korolyuk, V. Semi-Markov Random Evolutions Mathematics and Its Applications Statistics Functional analysis Integral equations Operator theory Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Integral Equations Operator Theory Functional Analysis Systems Theory, Control Statistik Semi-Markov-Prozess (DE-588)4180965-8 gnd |
| subject_GND | (DE-588)4180965-8 |
| title | Semi-Markov Random Evolutions |
| title_auth | Semi-Markov Random Evolutions |
| title_exact_search | Semi-Markov Random Evolutions |
| title_full | Semi-Markov Random Evolutions by V. Korolyuk, A. Swishchuk |
| title_fullStr | Semi-Markov Random Evolutions by V. Korolyuk, A. Swishchuk |
| title_full_unstemmed | Semi-Markov Random Evolutions by V. Korolyuk, A. Swishchuk |
| title_short | Semi-Markov Random Evolutions |
| title_sort | semi markov random evolutions |
| topic | Statistics Functional analysis Integral equations Operator theory Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Integral Equations Operator Theory Functional Analysis Systems Theory, Control Statistik Semi-Markov-Prozess (DE-588)4180965-8 gnd |
| topic_facet | Statistics Functional analysis Integral equations Operator theory Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Integral Equations Operator Theory Functional Analysis Systems Theory, Control Statistik Semi-Markov-Prozess |
| url | https://doi.org/10.1007/978-94-011-1010-5 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT korolyukv semimarkovrandomevolutions AT swishchuka semimarkovrandomevolutions |