The <Conformal Markov property of SLE> says that, conditionally on $(K_s)_{s\leq t}$, the future hulls
$$
\widetilde K_s=(g_t-U_t)(K_{t+s}\setminus K_t)
$$
have the law of a fresh SLE in $(\mathbb H,0,\infty)$ and are independent of the past, with the usual interpretation of mapping out the old hull.

Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 203 / 3 / b / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/iii/paper-203/3/b/solution