2017
Том 69
№ 7

Local time at zero for arratia flow

Chernega P. P.

Abstract

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 flow and calculate its characteristic.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 4, pp 616-633.

Citation Example: Chernega P. P. Local time at zero for arratia flow // Ukr. Mat. Zh. - 2012. - 64, № 4. - pp. 542-556.

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