Существование и свойства локальных времен для марковских случайных полей
Random fields that have the “coordinatewise” Markov property are considered. The notions of an excessive function, a potential, and a continuous additive functional are introduced. Sufficient conditions for the existence of local time as a special form of continuous additive functional are formulate...
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| Date: | 1995 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут математики НАН України
1995
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156955 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Существование и свойства локальных времен для марковских случайных полей / А.С. Мишура // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 56–63. — Бібліогр.: 4 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | Random fields that have the “coordinatewise” Markov property are considered. The notions of an excessive function, a potential, and a continuous additive functional are introduced. Sufficient conditions for the existence of local time as a special form of continuous additive functional are formulated, and the uniqueness of this time to within a multiplicative constant is proved. |
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