83 citations · 469 across the 16 of their papers we have counts for
16 papers
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…
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…
Asymptotics of height change on toroidal Temperleyan dimer models
Julien Dubédat, Reza Gheissari
The dimer model is an exactly solvable model of planar statistical mechanics. In its critical phase, various aspects of its scaling limit are known to be described by the Gaussian…
SLE and Virasoro representations: Fusion
Julien Dubédat
We continue the study of null-vector equations in relation with partition functions of (systems of) Schramm-Loewner Evolutions (SLEs) by considering the question of fusion. Startin…
SLE and Virasoro representations: localization
Julien Dubédat
We consider some probabilistic and analytic realizations of Virasoro highest-weight representations. Specifically, we consider measures on paths connecting points marked on the bou…
Exact bosonization of the Ising model
Julien Dubédat
We present exact combinatorial versions of bosonization identities, which equate the product of two Ising correlators with a free field (bosonic) correlator. The role of the discre…