Super-Brownian limits of voter model clusters
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Publication:1872213
zbMath1029.60078MaRDI QIDQ1872213
Maury Bramson, J. Theodore Cox, Jean-François Le Gall
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Spatial Moran models. II: Cancer initiation in spatially structured tissue ⋮ Rescaled voter models converge to super-Brownian motion. ⋮ Asymptotic behavior of a stochastic combustion growth process ⋮ The survival probability and \(r\)-point functions in high dimensions ⋮ On the range of lattice models in high dimensions ⋮ The Markov property of local times of Brownian motion indexed by the Brownian tree ⋮ Hitting probability of a distant point for the voter model started with a single 1 ⋮ Historical lattice trees ⋮ Rescaled Lotka-Volterra models converge to super-stable processes ⋮ Large deviations under a viewpoint of metric geometry: measure-valued process cases ⋮ Intermittency on catalysts: voter model ⋮ The \(q\)-voter model on the torus ⋮ Spatial Moran models I. stochastic tunneling in the neutral case ⋮ Large void zones and occupation times for coalescing random walks ⋮ Rescaled Lotka-Volterra models converge to super-Brownian motion
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