9 citations · 11 across the 9 of their papers we have counts for
9 papers
Critical first passage percolation on random graphs
Shankar Bhamidi, Rick Durrett, Xiangying Huang
In 1999, Zhang proved that, for first passage percolation on the square lattice with i.i.d. non-negative edge weights, if the probability that the passage time distr…
Co-evolving dynamic networks
Sayan Banerjee, Shankar Bhamidi, Xiangying Huang
We propose a general class of co-evolving tree network models driven by local exploration where new vertices attach to the current network via randomly sampling a vertex and then e…
Degree centrality and root finding in growing random networks
Sayan Banerjee, Xiangying Huang
We consider growing random networks where, at each time, a new vertex attaches itself to a collection of existing vertices via a fixed number …
A stochastic spatial model for the sterile insect control strategy
Xiangying Huang, Rick Durrett
In the system we study, 1's and 0's represent occupied and vacant sites in the contact process with births at rate and deaths at rate 1. 's are sterile individuals that do…
Motion by mean curvature in interacting particle systems
Xiangying Huang, Rick Durrett
There are a number of situations in which rescaled interacting particle systems have been shown to converge to a reaction diffusion equation (RDE) with a bistable reaction term. Th…
Exponential growth and continuous phase transitions for the contact process on trees
Xiangying Huang
We study the supercritical contact process on Galton-Watson trees and periodic trees. We prove that if the contact process survives weakly then it dominates a supercritical Crump-M…
The Contact Process on Periodic Trees
Xiangying Huang, Rick Durrett
A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that on homogeneous trees the critical values and for global and loc…
The Contact Process on Random Graphs and Galton-Watson Trees
Xiangying Huang, Rick Durrett
The key to our investigation is an improved (and in a sense sharp) understanding of the survival time of the contact process on star graphs. Using these results, we show that for t…
The Contact Process on Periodic Trees
Yufeng Jiang, Remy Kassem, Grayson York +4
A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that the critical values and for global and local survival were diff…