Levy Downcrossing Theorem for the Arratia Flow
We study the total number of downcrossings of a fixed strip by the trajectories of a continuum system of particles from the Arratia flow. We prove the convergence of the product of the strip width by the total number of downcrossings of the strip to the total local time for the Arratia flow. This st...
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| Datum: | 2015 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2015
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1978 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507870899994624 |
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| author | Chernega, P. P. Чернега, П. П. Чернега, П. П. |
| author_facet | Chernega, P. P. Чернега, П. П. Чернега, П. П. |
| author_sort | Chernega, P. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2019-12-05T09:47:54Z |
| description | We study the total number of downcrossings of a fixed strip by the trajectories of a continuum system of particles from the Arratia flow. We prove the convergence of the product of the strip width by the total number of downcrossings of the strip to the total local time for the Arratia flow. This statement is an analog of the well-known Levy downcrossing theorem for a Wiener process. |
| first_indexed | 2026-03-24T02:16:11Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-1978 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:16:11Z |
| publishDate | 2015 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-19782019-12-05T09:47:54Z Levy Downcrossing Theorem for the Arratia Flow Теорема Леви для потока Aрратья Chernega, P. P. Чернега, П. П. Чернега, П. П. We study the total number of downcrossings of a fixed strip by the trajectories of a continuum system of particles from the Arratia flow. We prove the convergence of the product of the strip width by the total number of downcrossings of the strip to the total local time for the Arratia flow. This statement is an analog of the well-known Levy downcrossing theorem for a Wiener process. Изучается общее число пересечений фиксированной полосы траекториями континуальной системы частиц из потока Арратья. Доказана сходимость произведения ширины полосы от общего числа пересечений полосы к общему местному времени для потока Арратья. Это утверждение является аналогом известной теоремы Леви для процесса Винера. Institute of Mathematics, NAS of Ukraine 2015-02-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/1978 Ukrains’kyi Matematychnyi Zhurnal; Vol. 67 No. 2 (2015); 261-271 Український математичний журнал; Том 67 № 2 (2015); 261-271 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1978/977 Copyright (c) 2015 Chernega P. P. |
| spellingShingle | Chernega, P. P. Чернега, П. П. Чернега, П. П. Levy Downcrossing Theorem for the Arratia Flow |
| title | Levy Downcrossing Theorem for the Arratia Flow |
| title_alt | Теорема Леви для потока Aрратья |
| title_full | Levy Downcrossing Theorem for the Arratia Flow |
| title_fullStr | Levy Downcrossing Theorem for the Arratia Flow |
| title_full_unstemmed | Levy Downcrossing Theorem for the Arratia Flow |
| title_short | Levy Downcrossing Theorem for the Arratia Flow |
| title_sort | levy downcrossing theorem for the arratia flow |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1978 |
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