Existence and properties of local times for Markov random fields

Random fields that have the “coordinatewise” Markov property are considered. The notions of an excessive function, a potential, and a continuous additive functional are introduced. Sufficient conditions for the existence of local time as a special form of continuous additive functional are formulate...

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Bibliographic Details
Date:1995
Main Authors: Mishura, Yu. S., Мишура, Ю. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5382
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal