08.02.2006 (Wednesday)

Random Planar Curves and Stochastic Loewner Evolution

Regular Seminar John Cardy (Oxford)

16:00 Brunel U.
room LC215

The random planar curves that occur, for example, as the boundaries of spin clusters in the Ising model or of percolation clusters in two dimensions have the special property of being conformally invariant in the scaling limit. I describe a new approach, called tochastic Loewner evolution (SLE), to describing the measure on such curves and to computing many of their properties.