Existence and properties of local times for Markov random fields

Authors

  • Yu. S. Mishura Київ. нац. ун-т iм. Т. Шевченка

Abstract

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 formulated, and the uniqueness of this time to within a multiplicative constant is proved.

Published

25.01.1995

Issue

Section

Research articles

How to Cite

Mishura, Yu. S. “Existence and Properties of Local Times for Markov Random Fields”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 1, Jan. 1995, pp. 56–63, https://umj.imath.kiev.ua/index.php/umj/article/view/5382.