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4 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…
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…