Julien Dub'edat

activity

20112022

most citedTopics on abelian spin models and related problems

12 citations · 36 across the 6 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.PR2019

Weak LQG metrics and Liouville first passage percolation

Julien Dubédat, Hugo Falconet, Ewain Gwynne +2

For $γ \in (0, 2)$ , we define a weak $γ$ -Liouville quantum gravity (LQG) metric to be a function $h \mapsto D_{h}$ which takes in an instance of the planar Gaussian free field (GFF) and…

math.PR2019★ 10 cited

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…

math.PR2019

Tightness of Liouville first passage percolation for $γ \in (0, 2)$

Jian Ding, Julien Dubédat, Alexander Dunlap +1

We study Liouville first passage percolation metrics associated to a Gaussian free field $h$ mollified by the two-dimensional heat kernel $p_{t}$ in the bulk, and related star-scale…

Weak LQG metrics and Liouville first passage percolation

Stochastic Ricci Flow on Compact Surfaces

Tightness of Liouville first passage percolation for γ∈(0,2)

Tightness of Liouville first passage percolation for $γ \in (0, 2)$