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Crabgrass, measles, and gypsy moths: An introduction to interaction particle systems

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Publication:1099894
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DOI10.1007/BF03028355zbMath0639.60095MaRDI QIDQ1099894

Richard T. Durrett

Publication date: 1988

Published in: The Mathematical Intelligencer (Search for Journal in Brave)


zbMATH Keywords

interacting particle systemsoriented percolationcomputer pictures


Mathematics Subject Classification ID

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


Related Items (4)

Spatial growth processes with long range dispersion: microscopics, mesoscopics and discrepancy in spread rate ⋮ On the long term behavior of some finite particle systems ⋮ Effect of variability in infection period on the persistence and spatial spread of infectious diseases ⋮ The convex hull of a dependent vector-valued process



Cites Work

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  • Oriented percolation in two dimensions
  • Limit theorems for the spread of epidemics and forest fires
  • Some limit theorems for percolation processes with necessary and sufficient conditions
  • Contact processes in several dimensions
  • Particle Systems, Random Media and Large Deviations


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