On the long term behavior of some finite particle systems

DOI10.1007/BF01277982zbMath0671.60103MaRDI QIDQ1119294

Andreas Greven, J. Theodore Cox

Publication date: 1990

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

zbMATH Keywords

voter modelcontact processinfinite systems with locally interacting components

Mathematics Subject Classification ID

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

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Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation ⋮ Multiple time scale analysis of interacting diffusions ⋮ Finite and infinite systems of interacting diffusions ⋮ Multiple scale analysis of clusters in spatial branching models ⋮ Spatial populations with seed-bank: finite-systems scheme ⋮ A functional CLT for the occupation time of a state-dependent branching random walk ⋮ A hierarchical mean field model of interacting spins ⋮ Graph fission in an evolving voter model ⋮ Latent voter model on locally tree-like random graphs ⋮ Different clustering regimes in systems of hierarchically interacting diffusions ⋮ On the ergodic theory of critical branching Markov chains ⋮ Coupling in the theory of interacting systems

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