The majority vote process and other consensus processes on trees

DOI10.1214/20-AAP1586zbMath1479.60190OpenAlexW3136920674MaRDI QIDQ2240812

Lawrence F. Gray, Maury Bramson

Publication date: 4 November 2021

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

Full work available at URL: https://projecteuclid.org/journals/annals-of-applied-probability/volume-31/issue-1/The-majority-vote-process-and-other-consensus-processes-on-trees/10.1214/20-AAP1586.full

zbMATH Keywords

convergence to equilibriumequilibriaconsensus processesmajority vote processes

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• A manifold of pure Gibbs states of the Ising model on a Cayley tree
• Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs
• Threshold \(\theta \geq 2\) contact processes on homogeneous trees
• Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
• Exponential decay for subcritical contact and percolation processes
• Additive set-valued Markov processes and graphical methods
• Glauber dynamics on trees: Boundary conditions and mixing time
• Glauber dynamics on trees and hyperbolic graphs
• On Pure Phases of the Ising Model on the Bethe Lattices
• The positive rates problem for attractive nearest neighbor spin systems on ?
• Proof of the Van den Berg–Kesten Conjecture
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