73 citations · 304 across the 61 of their papers we have counts for
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Uniqueness of the critical and supercritical Liouville quantum gravity metrics
Jian Ding, Ewain Gwynne
We show that for each , there is a unique metric associated with Liouville quantum gravity (LQG) with matter central charge ${\mathbf c}_{\mathr…
Introduction to the Liouville quantum gravity metric
Jian Ding, Julien Dubedat, Ewain Gwynne
Liouville quantum gravity (LQG) is a one-parameter family of models of random fractal surfaces which first appeared in the physics literature in the 1980s. Recent works have constr…
The critical Liouville quantum gravity metric induces the Euclidean topology
Jian Ding, Ewain Gwynne
We show that every possible metric associated with critical () Liouville quantum gravity (LQG) induces the same topology on the plane as the Euclidean metric. More precisely,…
Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity
Jian Ding, Ewain Gwynne
Liouville first passage percolation (LFPP) with parameter is the family of random distance functions on the plane obtained by integrating along…
Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric
Jian Ding, Ewain Gwynne
Let be the planar Gaussian free field and let be a supercritical Liouville quantum gravity (LQG) metric associated with . Such metrics arise as subsequential scaling l…