The critical contact process seen from the right edge

DOI10.1007/BF01312213zbMath0694.60098MaRDI QIDQ909366

J. Theodore Cox, Rinaldo B. Schinazi, Richard T. Durrett

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

invariant measureunique invariant measuresupercritical contact processcritical contact process

Mathematics Subject Classification ID

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

Related Items (3)

Convergence in distribution for subcritical 2D oriented percolation seen from its rightmost point ⋮ The contact process as seen from a random walk ⋮ A contact process with a single inhomogeneous site.

Cites Work

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• The central limit theorem for the right edge of supercritical oriented percolation
• Edge processes of one dimensional stochastic growth models
• Oriented percolation in two dimensions
• Edge fluctuations for the one dimensional supercritical contact process
• Absence of a stationary distribution for the edge process of subcritical oriented percolation in two dimensions
• The critical contact process dies out

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