Tanaka formula and local time for a class of interacting branching measure-valued diffusions

preprint2022arXivOpen access

Abstract

We construct superprocesses with dependent spatial motion (SDSMs) in Euclidean spaces RdR^d with d≥1d\ge1 and show that,even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on RdR^d, their local times exist when d≤3d\le3. A Tanaka formula of the local time is also derived.

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