46 citations · 292 across the 35 of their papers we have counts for
5 papers · 1 filter
Induced graphs of uniform spanning forests
Russell Lyons, Yuval Peres, Xin Sun
Given a subgraph of a graph , the induced graph of is the largest subgraph of whose vertex set is the same as that of . Our paper concerns the induced graphs of t…
Percolation on triangulations: a bijective path to Liouville quantum gravity
Olivier Bernardi, Nina Holden, Xin Sun
We set the foundation for a series of works aimed at proving strong relations between uniform random planar maps and Liouville quantum gravity (LQG). Our method relies on a bijecti…
Negative moments for Gaussian multiplicative chaos on fractal sets
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
The objective of this note is to study the probability that the total mass of a sub-critical Gaussian multiplicative chaos (GMC) with arbitrary base measure is small. When …
Natural parametrization of percolation interface and pivotal points
Nina Holden, Xinyi Li, Xin Sun
We prove that the interface of critical site percolation on the triangular lattice converges to SLE in its natural parametrization, where the discrete interface is parametrized…
Minkowski content of Brownian cut points
Nina Holden, Gregory F. Lawler, Xinyi Li +1
Let , , be a Brownian motion in , . We say that is a cut point for if for some such that and $W (t…