81 citations · 673 across the 80 of their papers we have counts for
66 papers · 1 filter
Uniqueness of the critical long-range percolation metrics
Jian Ding, Zherui Fan, Lu-Jing Huang
In this work, we study the random metric for the critical long-range percolation on . A recent work by Bäumler [3] implies the subsequential scaling limit, and our ma…
One-arm exponent of critical level-set for metric graph Gaussian free field in high dimensions
Zhenhao Cai, Jian Ding
In this paper, we study the critical level-set of Gaussian free field (GFF) on the metric graph . We prove that the one-arm probability (i.e. the prob…
A polynomial-time approximation scheme for the maximal overlap of two independent Erdős-Rényi graphs
Jian Ding, Hang Du, Shuyang Gong
For two independent Erdős-Rényi graphs , we study the maximal overlap (i.e., the number of common edges) of these two graphs over all possible vertex correspondence…
Long range order for three-dimensional random field Ising model throughout the entire low temperature regime
Jian Ding, Yu Liu, Aoteng Xia
For , we study the Ising model on with random field given by where 's are independent normal variables with mean 0 and vari…
Shotgun threshold for sparse Erdős-Rényi graphs
Jian Ding, Yiyang Jiang, Heng Ma
In the shotgun assembly problem for a graph, we are given the empirical profile for rooted neighborhoods of depth (up to isomorphism) for some and we wish to recover…
Shotgun assembly threshold for lattice labeling model
Jian Ding, Haoyu Liu
We study the shotgun assembly problem for the lattice labeling model, where i.i.d. uniform labels are assigned to each vertex in a -dimensional box of side length . We wish t…