Vivek Dewan

In this talk, we will give a brief introduction to the very new and active research area that is percolation of Gaussian fields. It pertains to the large-scale behaviour of sub-level sets of random smooth functions. We will focus on the 2-dimensional phase transition for fields with fast decorrelation and its many analogies with the well-known phase transition in Bernoulli percolation. We will then survey the differences in the main techniques which are used to establish these results in the two models.