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Multidelayed random walks: Theory and application to the neolithic transition in Europe

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

American Physical Society

Author: Fort, Joaquim
Debnarayan, Jana
Humet Coderch, Josep Maria
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
Document access: http://hdl.handle.net/2072/209781
Language: eng
Publisher: American Physical Society
Rights: Tots els drets reservats
Subject: Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Rutes aleatòries (Matemàtica)
Random walks
Title: Multidelayed random walks: Theory and application to the neolithic transition in Europe
Type: info:eu-repo/semantics/article
Repository: Recercat

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