Roland Bauerschmidt

Abstract: Given a finite graph, the arboreal gas is the measure on forests (subgraphs without cycles) in which each edge is weighted by a parameter β>0. Equivalently this model is bond percolation conditioned to be a forest, the independent sets of...

I will show a simple method to decompose the Gaussian free field associated to a (weighted) graph or manifold into a sum of finite range Gaussian fields, which are fields that are smoother than the original field and have spatially localized...

The central limit theorem of probability theory asserts under very general assumptions that properly renormalised sums of independent and identically random variables converge to a normal distribution. It can be viewed as a global stability result...