2 papers
math.PR2024
The Hausdorff measure of the boundary of the Brownian disk
Alexis Metz--Donnadieu
Consider the boundary of the Brownian disk as a metric space by endowing it with the (restriction of the) metric of . We show that the u…
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…