Gibbs resampling properties: droplet boundaries, and non-intersecting diffusions
Nov 23, 2010, 02:00 PM - 03:30 PM | 736 Evans Hall | Happening As Scheduled
Alan Hammond, Oxford and UC Berkeley (Speaker)
When a low-temperature Ising model in a box with negative boundary conditions is conditioned on the presence of a significant excess of plus signs, this excess tends to gather together in a droplet of the plus phase, surrounded by a sea of the minus phase. Between the droplet and its surroundings is a dual contour, the droplet boundary. I will discuss the fluctuation of such...