Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation

DOI10.1007/BF01200205zbMath0794.60101OpenAlexW1974508794MaRDI QIDQ1326253

Andreas Greven, Donald A. Dawson

Publication date: 28 August 1994

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

Full work available at URL: https://doi.org/10.1007/bf01200205

zbMATH Keywords

dynamical systemfixed-pointstability propertylocally interacting componentsspace-time scale behaviour

Mathematics Subject Classification ID

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

Related Items

Renormalization of the voter model in equilibrium ⋮ Diffusive clustering in an infinite system of hierarchically interacting diffusions ⋮ Multiple time scale analysis of interacting diffusions ⋮ Phase transitions for the long-time behavior of interacting diffusions ⋮ On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusions. II: The non-compact case ⋮ Finite and infinite systems of interacting diffusions ⋮ Multilevel bilinear systems of stochastic differential equations ⋮ A hierarchical mean field model of interacting spins ⋮ Transience and recurrence of random walks on percolation clusters in an ultrametric space ⋮ Survival of contact processes on the hierarchical group ⋮ The renormalization transformation for two-type branching models ⋮ Random systems in ultrametric spaces ⋮ A conversation with Don Dawson ⋮ Coupling in the theory of interacting systems

Cites Work

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