Friday, June 7, 2013
The lecture will be an introduction to the natural generalization of one-dimensional Brownian motion, when the time-parameter becomes two-dimensional. Known in the literature as the Free Gaussian Field, this object models (for instance) the natural fluctuations of a random surface away from its deterministic flat limit. This presentation will give an informal description of its properties, in particular somewhat surprising “topographic maps” and geometric features that Scott Sheffield, Jason Miller, Hao Wu and the speaker present in their recent work..
Little mathematical background is needed.