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  • Title: Multidelayed random walks: theory and application to the neolithic transition in Europe.
    Author: Fort J, Jana D, Humet J.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2004 Sep; 70(3 Pt 1):031913. PubMed ID: 15524555.
    Abstract:
    We present a model in which particles (or individuals of a biological population) disperse with a rest time between consecutive motions (or migrations) which may take several possible values from a discrete set. Particles (or individuals) may also react (or reproduce). We derive a new equation for the effective rest time T of the random walk. Application to the neolithic transition in Europe makes it possible to derive more realistic theoretical values for its wavefront speed than those following from the single-delayed framework presented previously [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)]. The new results are consistent with the archaeological observations of this important historical process.
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