Coalescing random walk on unimodular graphs

DOI10.1214/18-ECP136zbMath1414.60078arXiv1701.02653MaRDI QIDQ1990029

Tom Hutchcroft, Matthew Junge, Eric Foxall

Publication date: 24 October 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02653

zbMATH Keywords

voter modelunimodular random graphcoalescing random walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks on graphs (05C81)

Related Items (3)

Non-intersection of transient branching random walks ⋮ Parking on transitive unimodular graphs ⋮ Mean field behavior during the big bang regime for coalescing random walks

Cites Work

• Site recurrence for coalescing random walk
• Ergodic theory on stationary random graphs
• Planar stochastic hyperbolic triangulations
• Recurrence or transience of random walks on random graphs generated by point processes in \(\mathbb{R}^d\)
• Collisions of random walks in reversible random graphs
• Anchored expansion, speed and the Poisson-Voronoi tessellation in symmetric spaces
• Recurrence of distributional limits of finite planar graphs
• Collisions of random walks
• Processes on unimodular random networks
• Annihilating and coalescing random walks on ? d
• Random Geometric Graphs

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