16 citations · 28 across the 12 of their papers we have counts for
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KPZ formulas for the Liouville quantum gravity metric
Ewain Gwynne, Joshua Pfeffer
Let , let be the planar Gaussian free field, and let be the associated -Liouville quantum gravity (LQG) metric. We prove that for any random Borel set $X \…
Weak LQG metrics and Liouville first passage percolation
Julien Dubédat, Hugo Falconet, Ewain Gwynne +2
For , we define a weak -Liouville quantum gravity (LQG) metric to be a function which takes in an instance of the planar Gaussian free field (GFF) and…
Bounds for distances and geodesic dimension in Liouville first passage percolation
Ewain Gwynne, Joshua Pfeffer
For , Liouville first passage percolation (LFPP) is the random metric on obtained by weighting each vertex by …
Liouville quantum gravity with matter central charge in : a probabilistic approach
Ewain Gwynne, Nina Holden, Joshua Pfeffer +1
There is a substantial literature concerning Liouville quantum gravity (LQG) in two dimensions with conformal matter field of central charge ${\mathbf{c}}_{\mathrm M}\in(-\infty,1]…
External diffusion limited aggregation on a spanning-tree-weighted random planar map
Ewain Gwynne, Joshua Pfeffer
Let be the infinite spanning-tree-weighted random planar map, which is the local limit of finite random planar maps sampled with probability proportional to the number of spann…