Асимптотическое поведение одного класса стохастических полугрупп в схеме Бернулли
The family of subalgebras that describe the space of complex-valued 2×2 matrices is selected. In this space, the stochastic semigroup Yn=XnXn−1...X1, n = 1,∞, is considered, where {Xi, і = 1,∞} are independent equally distributed random matrices taking two values. For the stochastic semigroup Yn, wh...
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| Published in: | Український математичний журнал |
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| Date: | 1993 |
| Main Author: | |
| Format: | Article |
| Language: | Russian |
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Інститут математики НАН України
1993
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156428 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Асимптотическое поведение одного класса стохастических полугрупп в схеме Бернулли / А.С. Чани // Український математичний журнал. — 1993. — Т. 45, № 11. — С. 1580–1584. — Бібліогр.: 3 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The family of subalgebras that describe the space of complex-valued 2×2 matrices is selected. In this space, the stochastic semigroup Yn=XnXn−1...X1, n = 1,∞, is considered, where {Xi, і = 1,∞} are independent equally distributed random matrices taking two values. For the stochastic semigroup Yn, whose phase space belongs to one of the subalgebras, the index of exponential growth is calculated explicitly.
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| ISSN: | 1027-3190 |