Continuity of zero-hitting times of Bessel processes and welding homeomorphisms of SLE$_κ$

We consider a family of Bessel Processes that depend on the starting point $x$ and dimension $\delta$, but are driven by the same Brownian motion. Our main result is that almost surely the first time a process hits $0$ is jointly continuous in $x$ and $\delta$, provided $\delta\le 0$. As an applicat...

Полное описание

Библиографические подробности
Главные авторы: Beliaev, D, Margarint, V, Shekhar, A
Формат: Journal article
Язык:English
Опубликовано: Instituto Nacional de Matemática Pura e Aplicada 2021