论锥体和圆柱体中的反射扩散

Pub Date : 2024-04-22 DOI:10.1007/s11253-024-02288-w

Oleksii Kulyk, Andrey Pilipenko, Sylvie Roelly

{"title":"论锥体和圆柱体中的反射扩散","authors":"Oleksii Kulyk, Andrey Pilipenko, Sylvie Roelly","doi":"10.1007/s11253-024-02288-w","DOIUrl":null,"url":null,"abstract":"Let X be a diffusion in a cone with oblique reflection at the boundary. We study the question whether X reaches the vertex of the cone for a finite time with positive probability. We propose a new probabilistic method of investigation connected with the long-term behavior of the diffusion reflected in a cylinder.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Reflected Diffusions in Cones and Cylinders\",\"authors\":\"Oleksii Kulyk, Andrey Pilipenko, Sylvie Roelly\",\"doi\":\"10.1007/s11253-024-02288-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let X be a diffusion in a cone with oblique reflection at the boundary. We study the question whether X reaches the vertex of the cone for a finite time with positive probability. We propose a new probabilistic method of investigation connected with the long-term behavior of the diffusion reflected in a cylinder.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11253-024-02288-w\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11253-024-02288-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

假设 X 是锥体中的扩散，边界处有斜反射。我们研究的问题是 X 是否在有限时间内以正概率到达圆锥的顶点。我们提出了一种新的概率研究方法，它与圆柱体中反射扩散的长期行为有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

On Reflected Diffusions in Cones and Cylinders

Let X be a diffusion in a cone with oblique reflection at the boundary. We study the question whether X reaches the vertex of the cone for a finite time with positive probability. We propose a new probabilistic method of investigation connected with the long-term behavior of the diffusion reflected in a cylinder.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助