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Critical density points for threshold voter models on homogeneous trees

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Publication:664599
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DOI10.1007/s10955-011-0405-6zbMath1235.82023OpenAlexW2064207898MaRDI QIDQ664599

Xiaofeng Xue

Publication date: 2 March 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0405-6


zbMATH Keywords

exponential ratecritical densityhomogeneous treesthreshold vote models


Mathematics Subject Classification ID

Voting theory (91B12) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)


Related Items (3)

Convergence rates for subcritical threshold-one contact processes on lattices ⋮ Asymptotic behavior of critical infection rates for threshold-one contact processes on lattices and regular trees ⋮ Fluid limit of threshold voter models on tori



Cites Work

  • Threshold \(\theta \geq 2\) contact processes on homogeneous trees
  • Clustering in one-dimensional threshold voter models
  • Coexistence in threshold voter models
  • The complete convergence theorem for coexistent threshold voter models
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