The complete convergence theorem for coexistent threshold voter models

DOI10.1214/aop/1022677260zbMath0974.60093OpenAlexW2108598924MaRDI QIDQ1807192

Shirin J. Handjani

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1214/aop/1022677260

zbMATH Keywords

Markov processinvariant measurelimiting distribution

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (9)

Convergence rates for subcritical threshold-one contact processes on lattices ⋮ Commutative monoid duality ⋮ Asymptotic behavior of critical infection rates for threshold-one contact processes on lattices and regular trees ⋮ A complete convergence theorem for voter model perturbations ⋮ On some threshold-one attractive interacting particle systems on homogeneous trees ⋮ Critical density points for threshold voter models on homogeneous trees ⋮ Stochastic Spatial Model of Producer-Consumer Systems on the Lattice ⋮ Voter models with heterozygosity selection ⋮ Fluid limit of threshold voter models on tori

Cites Work

• Annihilating branching processes
• Clustering in one-dimensional threshold voter models
• Coexistence in threshold voter models
• Critical attractive spin systems
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