Fredrik Johansson Viklund: Dimension Spectrum for SLE Boundary Collisions
Fredrik Johansson Viklund, Columbia University
Tid: On 2012-10-17 kl 13.15 - 14.15
Plats: Room 3721, Lindstedtsvägen 25, 7th floor, Department of Mathematics, KTH
SLE(\kappa) curves appear as canonical scaling limits of interfaces in several two-dimensional discrete models from statistical physics. These curves are random fractals and their properties depend on the parameter \kappa. When \kappa > 4, the SLE(\kappa) curve almost surely hits the boundary of its domain of definition in a random set of dimension 2-8/\kappa. As will be explained in the talk, this randomset has a natural almost sure multifractal structure indexed by the ``angle'' at which the curve meets the boundary.
The talk is based on joint work with T. Alberts (Caltech) and I. Binder (Toronto).