On reflected diffusions in cones and cylinders

UDC 519.21 Let $X$ be a diffusion in a cone with oblique reflection at the boundary. We study the question whether $X$ reaches a vertex of the cone for a finite time with positive probability. We propose new probabilistic method of investigation connected with the long-term...

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Bibliographic Details
Date:2023
Main Authors: Kulyk, Oleksii, Pilipenko, Andrey, Rœlly, Sylvie
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7418
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal