Mean field behavior during the big bang regime for coalescing random walks

DOI10.1214/22-AOP1571zbMath1498.60316arXiv2105.11585MaRDI QIDQ2085541

Lingfu Zhang, Jonathan Hermon, Shuangping Li, Dong Yao

Publication date: 18 October 2022

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11585

zbMATH Keywords

coalescing random walksKingman's coalescent

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Continuous-time Markov processes on discrete state spaces (60J27) Coalescent processes (60J90)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Site recurrence for coalescing random walk
• Mean field conditions for coalescing random walks
• Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
• Inequalities for rare events in time-reversible Markov chains. I.
• Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\)
• Asymptotic density in a coalescing random walk model.
• Coalescing random walk on unimodular graphs
• A finitary structure theorem for vertex-transitive graphs of polynomial growth
• Some inequalities for reversible Markov chains and branching random walks via spectral optimization
• The social network model on infinite graphs
• A spectral characterization for concentration of the cover time
• Probability on Trees and Networks
• Random Graphs and Complex Networks
• Asymptotics for interacting particle systems onZ d
• Recent progress in coalescent theory
• A limit theorem for patch sizes in a selectively-neutral migration model
• On coalescence time in graphs: When is coalescing as fast as meeting?: Extended Abstract
• On the coalescence time of reversible random walks
• Coalescing Random Walks and Voting on Connected Graphs

This page was built for publication: Mean field behavior during the big bang regime for coalescing random walks