46 citations · 292 across the 35 of their papers we have counts for
6 papers · 1 filter
Two perspectives of the 2D unit area quantum sphere and their equivalence
Juhan Aru, Yichao Huang, Xin Sun
2D Liouville quantum gravity (LQG) is used as a toy model for 4D quantum gravity and is the theory of world-sheet in string theory. Recently there has been growing interest in stud…
Scaling limits for the critical Fortuin-Kastelyn model on a random planar map III: finite volume case
Ewain Gwynne, Xin Sun
We prove scaling limit results for the finite-volume version of the inventory accumulation model of Sheffield (2011), which encodes a random planar map decorated by a collection of…
Brownian motion correlation in the peanosphere for
Ewain Gwynne, Nina Holden, Jason Miller +1
The peanosphere (or "mating of trees") construction of Duplantier, Miller, and Sheffield encodes certain types of -Liouville quantum gravity (LQG) surfaces () decora…
Sandpiles and unicycles on random planar maps
Xin Sun, David B. Wilson
We consider the abelian sandpile model and the uniform spanning unicycle on random planar maps. We show that the sandpile density converges to 5/2 as the maps get large. For the sp…
Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent
Ewain Gwynne, Xin Sun
We continue our study of the inventory accumulation introduced by Sheffield (2011), which encodes a random planar map decorated by a collection of loops sampled from the critical F…
Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map I: cone times
Ewain Gwynne, Cheng Mao, Xin Sun
Sheffield (2011) introduced an inventory accumulation model which encodes a random planar map decorated by a collection of loops sampled from the critical Fortuin-Kasteleyn (FK) mo…