Loop-Erased Random Walk

Loop-Erased Random Walk

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Greg Lawler, University of Chicago
Fine Hall 214

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