Let be Brownian motion in the plane started at the origin and let θ be the first exit time of the unit disk . Let
and set . We show that
Research of Jay Rosen was partially supported by grants from the Simons Foundation.
We thank Ofer Zeitouni for several helpful conversations.
"Tightness for thick points in two dimensions." Electron. J. Probab. 28 1 - 45, 2023. https://doi.org/10.1214/23-EJP910