3 citations · 5 across the 4 of their papers we have counts for
5 papers
Liouville quantum gravity from random matrix dynamics
Paul Bourgade, Hugo Falconet
We establish the first connection between Liouville quantum gravity and natural dynamics of random matrices. In particular, we show that if is a Brownian motion on the…
Metric growth dynamics in Liouville quantum gravity
Julien Dubédat, Hugo Falconet
We consider the metric growth in Liouville quantum gravity (LQG) for . We show that a process associated with the trace of the free field on the boundary of a filled LQ…
Volume of metric balls in Liouville quantum gravity
Morris Ang, Hugo Falconet, Xin Sun
We study the volume of metric balls in Liouville quantum gravity (LQG). For , it has been known since the early work of Kahane (1985) and Molchan (1996) that the LQG vo…
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…
Liouville metric of star-scale invariant fields: tails and Weyl scaling
Julien Dubédat, Hugo Falconet
We study the Liouville metric associated to an approximation of a log-correlated Gaussian field with short range correlation. We show that below a parameter , the left-righ…