33 citations · 40 across the 10 of their papers we have counts for
10 papers
On the chemical distance exponent for the two-sided level-set of the 2D Gaussian free field
Yifan Gao, Fuxi Zhang
In this paper we introduce the two-sided level-set for the two-dimensional discrete Gaussian free field. Then we investigate the chemical distance for the two-sided level-set perco…
A large sample property in approximating the superposition of i.i.d. point processes
Tianshu Cong, Aihua Xia, Fuxi Zhang
One of the main differences between the central limit theorem and the Poisson law of small numbers is that the former possesses the large sample property (LSP), i.e., the error of…
Heat kernel for Liouville Brownian motion and Liouville graph distance
Jian Ding, Ofer Zeitouni, Fuxi Zhang
We show the existence of the scaling exponent of the graph distance associated with subcritical two-dimensional Liouville quantum gravi…
On the Liouville heat kernel for k-coarse MBRW and nonuniversality
Jian Ding, Ofer Zeitouni, Fuxi Zhang
We study the Liouville heat kernel (in the phase) associated with a class of logarithmically correlated Gaussian fields on the two dimensional torus. We show that for each $\…
Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures
Jian Ding, Fuxi Zhang
Let be a discrete Gaussian free field in a two-dimensional box of side length with Dirichlet boundary conditions. We study the Liouville first passag…
Non-universality for first passage percolation on the exponential of log-correlated Gaussian fields
Jian Ding, Fuxi Zhang
We consider first passage percolation (FPP) where the vertex weight is given by the exponential of two-dimensional log-correlated Gaussian fields. Our work is motivated by understa…