activity
20172026
most citedMean Field Behavior during the Big Bang Regime for Coalescing Random Walks

9 citations · 18 across the 9 of their papers we have counts for

collaborators

10 papers

math.PR2026

Repeated averaging on expanders I: random -regular graph

Dong Yao, Lingfu Zhang

Repeated averaging on graphs is a natural prototype of local stochastic exchange, modeling consensus formation, information spreading, and wealth redistribution. Its convergence ha…

math.PR2026

Susceptible-Infected Epidemics on Evolving Graphs at Critical Infection Rate

Wenze Chen, Haojie Hou, Ruibo Ma +1

Consider an SI process on a graph where each S--I connection becomes I--I at rate . Here S and I stand for ``susceptible'' and ``infected'' respectively. The evoSI model is…

math.PR2026

A note on the cooperative two-type SIR processes on Galton-Watson trees

Ruibo Ma, Tai Heng Liu, Baghdadi Othmane +1

In the standard SIR model on a graph, infected vertices infect their neighbors at rate and recover at rate . We consider a two-type SIR process where each individual in the…

math.PR2023★ 1 cited

Determinantal point processes on spheres: multivariate linear statistics

Renjie Feng, Friedrich Götze, Dong Yao

In this paper, we will derive the first and 2nd order Wiener chaos decomposition for the multivariate linear statistics of the determinantal point processes associated with the spe…

math.PR2022

SIR Epidemics on Evolving Erdős-Rényi Graphs

Wenze Chen, Yuewen Hou, Dong Yao

In the standard SIR model, infected vertices infect their neighbors at rate independently across each edge. They also recover at rate . In this work we consider the SIR-…

math.PR2021★ 9 cited

Mean Field Behavior during the Big Bang Regime for Coalescing Random Walks

Jonathan Hermon, Shuangping Li, Dong Yao +1

In this paper we consider coalescing random walks on a general connected graph . We set up a unified framework to study the leading order of the decay rate of , the e…

math.PR2020★ 5 cited

Susceptible-Infected Epidemics on Evolving Graphs

Rick Durrett, Dong Yao

The evoSIR model is a modification of the usual SIR process on a graph in which connections are broken at rate and the connects to a randomly chosen vertex. The e…

math.PR2019

Zeros of repeated derivatives of random polynomials

Renjie Feng, Dong Yao

It has been shown that zeros of Kac polynomials of degree cluster asymptotically near the unit circle as under some assumptions. This property remains unc…

math.PR2019

The Symbiotic Contact Process

Rick Durrett, Dong Yao

We consider a contact process on with two species that interact in a symbiotic manner. Each site can either be vacant or occupied by individuals of species and/or . Mu…

math.PR2017★ 3 cited

Average nearest neighbor degrees in scale-free networks

Dong Yao, Pim van der Hoorn, Nelly Litvak

The average nearest neighbor degree (ANND) of a node of degree is widely used to measure dependencies between degrees of neighbor nodes in a network. We formally analyze ANND i…