Spatial epidemics: Critical behavior in one dimension

DOI10.1007/s00440-008-0151-0zbMath1181.92073arXivmath/0701698OpenAlexW2098992998MaRDI QIDQ2391167

Steven P. Lalley

Publication date: 24 July 2009

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

Full work available at URL: https://arxiv.org/abs/math/0701698

zbMATH Keywords

Dawson-Watanabe processBranching random walkCritical scaling

Mathematics Subject Classification ID

Epidemiology (92D30) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square, Occupation densities of ensembles of branching random walks, Occupation statistics of critical branching random walks in two or higher dimensions, A phase diagram for a stochastic reaction diffusion system, A phase transition for measure-valued SIR epidemic processes, Spatial epidemics and local times for critical branching random walks in dimensions 2 and 3, Critical scaling for an anisotropic percolation system on \(\mathbb{Z}^2\), On the maximal displacement of near-critical branching random walks, On the maximal displacement of critical branching random walk

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