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math.PR2023
A stochastic differential equation for local times of super-Brownian motion
Jean-François Le Gall, Edwin Perkins
We show that local times of super-Brownian motion, or of Brownian motion indexed by the Brownian tree, satisfy an explicit stochastic differential equation. Our proofs rely on both…
math.PR2023
Spatial Markov property in Brownian disks
Jean-François Le Gall, Armand Riera
We derive a new representation of the Brownian disk in terms of a forest of labeled trees, where labels correspond to distances from a subset of the boundary. We then use this repr…