Generalization of one problem of stochastic geometry and related measure-valued processes
We prove a functional limit theorem for the measure of a domain in which the values of a time-dependent random field do not exceed a given level. We illustrate this theorem by a geometric model.
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4441 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510571462393856 |
|---|---|
| author | Yurachkovskii, A. P. Юрачківський, А. П. |
| author_facet | Yurachkovskii, A. P. Юрачківський, А. П. |
| author_sort | Yurachkovskii, A. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:29:03Z |
| description | We prove a functional limit theorem for the measure of a domain in which the values of a time-dependent random field do not exceed a given level. We illustrate this theorem by a geometric model. |
| first_indexed | 2026-03-24T02:59:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4441 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:59:07Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a0/ab4ca8fb050bae84e68a5582cc33d5a0.pdf |
| spelling | umjimathkievua-article-44412020-03-18T20:29:03Z Generalization of one problem of stochastic geometry and related measure-valued processes Узатальнення однієї задачі стохастичної геометрії та пов'язані з ним мірозначні процеси Yurachkovskii, A. P. Юрачківський, А. П. We prove a functional limit theorem for the measure of a domain in which the values of a time-dependent random field do not exceed a given level. We illustrate this theorem by a geometric model. Доведемо функціональну граничну теорему для міри області, в якій значення залежного від часу випадкового поля не перевищують заданого рівня. Теорему проілюстровано па геометричній моделі. Institute of Mathematics, NAS of Ukraine 2000-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4441 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 4 (2000); 524-534 Український математичний журнал; Том 52 № 4 (2000); 524-534 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4441/5586 https://umj.imath.kiev.ua/index.php/umj/article/view/4441/5587 Copyright (c) 2000 Yurachkovskii A. P. |
| spellingShingle | Yurachkovskii, A. P. Юрачківський, А. П. Generalization of one problem of stochastic geometry and related measure-valued processes |
| title | Generalization of one problem of stochastic geometry and related measure-valued processes |
| title_alt | Узатальнення однієї задачі стохастичної геометрії та пов'язані з ним мірозначні процеси |
| title_full | Generalization of one problem of stochastic geometry and related measure-valued processes |
| title_fullStr | Generalization of one problem of stochastic geometry and related measure-valued processes |
| title_full_unstemmed | Generalization of one problem of stochastic geometry and related measure-valued processes |
| title_short | Generalization of one problem of stochastic geometry and related measure-valued processes |
| title_sort | generalization of one problem of stochastic geometry and related measure-valued processes |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4441 |
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