Extrema of the planar Gaussian Free Field: convergence of the maximum using hidden tree structures

Wednesday, October 15, 2014 -
2:00pm to 3:00pm
In a recent work, Bramson, Ding and the speaker proved that the maximum of the Gaussian free field in a discrete box of side $N$, centered around its mean, converges in distribution to a shifted Gumbel. The proof uses branching random walks, modified branching random walks, and a modification of the classical second moment method. Underlying the proof is a hidden rough tree structure. I will explain the terms in the abstract, the structure of the proof, and will sketch applications to other related problems.
Speaker: 
Ofer Zeitouni
New York University and Weizmann Institute
Event Location: 
Fine Hall 322