Boundary-intersection threshold for SLE (source code)

= Boundary-intersection threshold for SLE
{title2=$\kappa>4$}

Chordal $\operatorname{SLE}_\kappa$ intersects the domain boundary away from its endpoints exactly when $\kappa>4$. The centered image of a boundary point is a Bessel process of dimension $1+4/\kappa$, which hits zero exactly below dimension two.