Existence and properties of local times for Markov random fields
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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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5382 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511611619377152 |
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| author | Mishura, Yu. S. Мишура, Ю. С. Мишура, Ю. С. |
| author_facet | Mishura, Yu. S. Мишура, Ю. С. Мишура, Ю. С. |
| author_sort | Mishura, Yu. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | 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. |
| first_indexed | 2026-03-24T03:15:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5382 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:39Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/23/f5797e9496256bc8d72537fbf1576b23.pdf |
| spelling | umjimathkievua-article-53822020-03-19T08:58:17Z Existence and properties of local times for Markov random fields Существование и свойства локальных времен для марковских случайных полей Mishura, Yu. S. Мишура, Ю. С. Мишура, Ю. С. 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. Розглянуто випадкові поля, які мають покоординатну марковську властивість. Введено поняття ексцесивної функції, потенціалу та неперервного адитивного функціоналу (НАФ). Сформульовано достатні умови існування та доведено єдиність з точністю до мультиплікативної сталої локального часу як НАФ спеціального вигляду. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5382 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 56–63 Український математичний журнал; Том 47 № 1 (1995); 56–63 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5382/7455 https://umj.imath.kiev.ua/index.php/umj/article/view/5382/7456 Copyright (c) 1995 Mishura Yu. S. |
| spellingShingle | Mishura, Yu. S. Мишура, Ю. С. Мишура, Ю. С. Existence and properties of local times for Markov random fields |
| title | Existence and properties of local times for Markov random fields |
| title_alt | Существование и свойства локальных времен для марковских случайных полей |
| title_full | Existence and properties of local times for Markov random fields |
| title_fullStr | Existence and properties of local times for Markov random fields |
| title_full_unstemmed | Existence and properties of local times for Markov random fields |
| title_short | Existence and properties of local times for Markov random fields |
| title_sort | existence and properties of local times for markov random fields |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5382 |
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