Complete convergence theorem for a competition model

DOI10.1007/BF01193585zbMath0718.60026OpenAlexW2000003625MaRDI QIDQ2639409

A. M. Møller, Richard T. Durrett

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01193585

zbMATH Keywords

stationary distributioncomplete convergence theoremhierarchical competition model

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

The contact process in a dynamic random environment ⋮ Growth of a Population of Bacteria in a Dynamical Hostile Environment ⋮ The symbiotic contact process ⋮ Scaling limit of an adaptive contact process ⋮ Contact process on a dynamical long range percolation ⋮ Tightness for the interface of the one-dimensional contact process ⋮ Contact process in an evolving random environment ⋮ The Richardson model in a random environment ⋮ Coexistence in a competition model ⋮ Are there bushes in a forest? ⋮ Coexistence in stochastic spatial models

Cites Work

• Are there bushes in a forest?
• Oriented percolation in two dimensions
• Statistical mechanics of crabgrass
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• The critical contact process dies out
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