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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Instituto Nacional de Matemática Pura e Aplicada
2021
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