46 citations · 292 across the 35 of their papers we have counts for
Showing 2017 · math.PRShow all
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math.PR2017
A mating-of-trees approach for graph distances in random planar maps
Ewain Gwynne, Nina Holden, Xin Sun
We introduce a general technique for proving estimates for certain random planar maps which belong to the -Liouville quantum gravity (LQG) universality class for . T…
math.PR2017★ 1 cited
Occupation measure of random walks and wired spanning forests in balls of Cayley graphs
Russell Lyons, Yuval Peres, Xin Sun +1
We show that for finite-range, symmetric random walks on general transient Cayley graphs, the expected occupation time of any given ball of radius is .. We also stu…
math.PR2017★ 24 cited
Schnyder woods, SLE(16), and Liouville quantum gravity
Yiting Li, Xin Sun, Samuel S. Watson
In 1990, Schnyder used a 3-spanning-tree decomposition of a simple triangulation, now known as the Schnyder wood, to give a fundamental grid-embedding algorithm for planar maps. In…