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

Abstract

We construct superprocesses with dependent spatial motion (SDSMs) in Euclidean spaces and show that, even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on Rd\R^d, their local times exist when d3d\le3. A Tanaka formula is also derived

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