Weak LQG metrics and Liouville first passage percolation

Julien Dubédat, Hugo Falconet, Ewain Gwynne +2

For $\gamma \in (0,2)$, we define a weak $\gamma$-Liouville quantum gravity (LQG) metric to be a function $h\mapsto D_h$ which takes in an instance of the planar Gaussian free field (GFF) and…