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math.PR2024
Drilling holes in the Brownian disk: The Brownian annulus
Jean-François Le Gall, Alexis Metz-Donnadieu
We give a new construction of the Brownian annulus based on removing a hull centered at the distinguished point in the free Brownian disk. We use this construction to prove that th…
math.PR2024
Peeling the Brownian half-plane
Jean-François Le Gall, Armand Riera
We establish a new spatial Markov property of the Brownian half-plane. According to this property, if one removes a hull centered at a boundary point, the remaining space equipped…