First passage percolation on exponential of log-correlated Gaussian fields in two-dimensional lattice

First passage percolation on exponential of log-correlated Gaussian fields in two-dimensional lattice

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Jian Ding , University of Chicago
Fine Hall 214

I will discuss first passage percolation problems in two-dimensional lattice where the vertex weight is given by exponentiating log-correlated Gaussian fields. I will present some recent progress on the exponent for the weight of the geodesic including an upper bound as well as a non-universality result. This is based on joint works with Subhajit Goswami and Fuxi Zhang.