The Rohde--Schramm theorem, via the Gaussian free field

Nathanael Berestycki, Henry Jackson

The Rohde--Schramm theorem states that Schramm--Loewner Evolution with parameter $\kappa$ (or SLE${}_{\kappa }$ for short) exists as a random curve, almost surely, if $\kappa \ne 8$. Here we give a ne…