An exit measure construction of the total local time of super-Brownian motion
In this paper, the author studies super-Brownian motion in \(\mathbb{R}^d\) with \(d\le 3\). The author uses a renomalization of the total mass of the exit measure from the complement of a small ball centered at \(x\in \mathbb{R}^d\) to give a new construction of the total local time \(L^x\) of super-Brownian motion at \(x\). This construction is useful in the construction of a boundary local time measure whose support is the topological boundary of the range of super-Brownian motion.
scientific article; zbMATH DE number 7453061
scientific article