Critical exponents for a reversible nearest particle system on the binary tree.

DOI10.1214/AOP/1019160124zbMath1044.60097OpenAlexW1999946482MaRDI QIDQ1872515

Amber L. Puha

Publication date: 6 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1019160124

zbMATH Keywords

critical exponentsphase transitiontreesgrowth modelsreversible flows

Mathematics Subject Classification ID

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

Related Items (1)

Monotonicity of conditional distributions and growth models on trees.

Cites Work

• Applications of the Dirichlet principle to finite reversible nearest particle systems
• On the survival probability of generalized nearest-particle systems
• Critical phenomena for Spitzer's reversible nearest particle systems
• A reversible nearest particle system on the homogeneous tree
• The triangle condition for contact processes on homogeneous trees
• Critical exponents for the contact process under the triangle condition
• A new proof that for the contact process on homogeneous trees local survival implies complete convergence
• Monotonicity of conditional distributions and growth models on trees.
• The contact process on a tree: Behavior near the first phase transition
• Stochastic time evolution of one dimensional infinite particle systems
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