On the Sobolev removability of the graph of one-dimensional Brownian motion

Cillian Doherty, Jason Miller

Suppose that $B$ is a one-dimensional Brownian motion and let $\Gamma =\{(t,B_t):t\in [0,1]\}$ be the graph of $B{|}_{[0,1]}$. We characterize the Sobolev removability properties of…