Diffusive clustering in an infinite system of hierarchically interacting diffusions
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Publication:1326293
DOI10.1007/BF01192837zbMath0794.60107MaRDI QIDQ1326293
Andreas Greven, Klaus Fleischmann
Publication date: 28 August 1994
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60)
Related Items
Continuum-sites stepping-stone models, coalescing exchangeable partitions and random trees, Renormalization of the voter model in equilibrium, Diffusive clustering in an infinite system of hierarchically interacting diffusions, Diffusive clustering of interacting Brownian motions on \(\mathbb Z^ 2\)., Phase transitions for the long-time behavior of interacting diffusions, Finite and infinite systems of interacting diffusions, Branching Processes -- A General Concept, Comparison of interacting diffusions and an application to their ergodic theory, Multiple scale analysis of clusters in spatial branching models, Multilevel bilinear systems of stochastic differential equations, Cluster formation in a stepping-stone model with continuous, hierarchically structured sites, Degrees of transience and recurrence and hierarchical random walks, The renormalization transformation for two-type branching models, The hierarchical Cannings process in random environment, Different clustering regimes in systems of hierarchically interacting diffusions, Multi-scale clustering for a non-Markovian spatial branching process
Cites Work
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- Occupation time limit theorems for the voter model
- Line-of-descent and genealogical processes, and their applications in population genetics models
- A phase transition for the coupled branching process. I: The ergodic theory in the range of finite second moments
- Diffusive clustering in the two dimensional voter model
- An interacting system in population genetics
- Infinite dimensional stochastic differential equations and their applications
- Convergence to genetically uniform state in stepping stone models of population genetics
- An interacting system in population genetics. II
- Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
- Diffusive clustering in an infinite system of hierarchically interacting diffusions
- Ergodic theorems for infinite systems of locally interacting diffusions
- Consolidation rates for two interacting systems in the plane
- Some problems concerning the structure of random walk paths
- Isolation by distance in a hierarchically clustered population
- Mean Field Asymptotics for the Planar Stepping Stone Model
- Ergodic theorems for coupled random walks and other systems with locally interacting components