= Radial Schramm–Loewner evolution
{title2=$\operatorname{radial\ SLE}_\kappa$}
= Radial SLE
{synonym}
Radial <SLE> grows from a boundary point to an interior target. In the unit disc from $1$ to $0$, its conformal-radius parameterization satisfies
$$
\partial_tg_t(z)=g_t(z)\frac{e^{i\sqrt\kappa\beta_t}+g_t(z)}{e^{i\sqrt\kappa\beta_t}-g_t(z)},\qquad g_t'(0)=e^t.
$$
The target remains in the remaining simply connected component; the time parameter records its decreasing <conformal radius>.
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