Two-sided SLE8=3 and the Infinite Self-Avoiding Polygon (2008)
Gregory F. Lawler, Joan R. Lind
Abstract In this paper we construct two-sided SLE8=3 and describe why it is a model of the infinite self-avoiding polygon. 1 Introduction The Schramm-Loewner evolution, SLE^, as introudced in [9], is...
A Sharp Condition for the Loewner Equation to Generate Slits (2003)
D. Marshall and S. Rohde have recently shown that there exists $C_0 >0$ so that the Loewner equation generates slits whenever the driving term is H\"older continuous with exponent 1/2 and norm less...