Local time at zero for arratia flow

We study the Arratia flow $x(u,t)$. We prove that $x(\cdot,t)$ is a Markov process whose phase space is a certain subset $K$ of the Skorokhod space. We introduce the notion of total local time at zero for the Arratia flow. We prove that it is an additive, nonnegative, continuous functional of the f...

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Bibliographic Details
Date:2012
Main Authors: Chernega, P. P., Чернега, П. П.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2594
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal