Loop-Erased Random Walk

-
Greg Lawler, University of Chicago

I will discuss recent work with Christian Benes and Fredrik听Viklund on the convergence of听 the Green's听function of planar loop-erased random walk and the relationship to the convergence to the听Schramm-Loewner evolution in the natural parametrization听(Minkowski content). I will not assume that people know what听the words in the last sentence mean --- I will describe the result听and its importance.