12 citations · 36 across the 6 of their papers we have counts for
8 papers
Random clusters in the Villain and XY models
Julien Dubédat, Hugo Falconet
In the Ising and Potts model, random cluster representations provide a geometric interpretation to spin correlations. We discuss similar constructions for the Villain and XY models…
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…
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…
Stochastic Ricci Flow on Compact Surfaces
Julien Dubédat, Hao Shen
In this paper we introduce the stochastic Ricci flow (SRF) in two spatial dimensions. The flow is symmetric with respect to a measure induced by Liouville Conformal Field Theory. U…
Tightness of Liouville first passage percolation for
Jian Ding, Julien Dubédat, Alexander Dunlap +1
We study Liouville first passage percolation metrics associated to a Gaussian free field mollified by the two-dimensional heat kernel in the bulk, and related star-scale…
An SLE loop measure
Stéphane Benoist, Julien Dubédat
There is an essentially unique way to associate to any Riemann surface a measure on its simple loops, such that the collection of measures satisfy a strong conformal invariance pro…
Double dimers, conformal loop ensembles and isomonodromic deformations
Julien Dubédat
The double-dimer model consists in superimposing two independent, identically distributed perfect matchings on a planar graph, which produces an ensemble of non-intersecting loops.…
Topics on abelian spin models and related problems
Julien Dubédat
In these notes, we discuss a selection of topics on several models of planar statistical mechanics. We consider the Ising, Potts, and more generally abelian spin models; the discre…