
TL;DR
This paper reviews the behavior of the rightmost particle in branching random walks and explores the phenomenon of anomalous spreading speeds, linking these results to coupled reaction-diffusion equations.
Contribution
It connects recent findings on anomalous spreading speeds in branching processes with reaction-diffusion models, highlighting their relationship.
Findings
Analysis of the rightmost particle behavior in branching random walks
Discussion of anomalous spreading speeds in related models
Connection between branching processes and reaction-diffusion equations
Abstract
Results on the behaviour of the rightmost particle in the th generation in the branching random walk are reviewed and the phenomenon of anomalous spreading speeds, noticed recently in related deterministic models, is considered. The relationship between such results and certain coupled reaction-diffusion equations is indicated.
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Taxonomy
TopicsStochastic processes and statistical mechanics · stochastic dynamics and bifurcation · Theoretical and Computational Physics
