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

dc.contributor.author
Fort, Joaquim
dc.contributor.author
Debnarayan, Jana
dc.contributor.author
Humet Coderch, Josep Maria
dc.date.accessioned
2024-06-14T09:36:34Z
dc.date.available
2024-06-14T09:36:34Z
dc.date.issued
2004
dc.identifier
http://hdl.handle.net/10256/7702
dc.identifier.uri
https://hdl.handle.net/10256/7702
dc.description.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
dc.format
application/pdf
dc.language
eng
dc.publisher
American Physical Society
dc.relation
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.70.031913
dc.relation
info:eu-repo/semantics/altIdentifier/issn/1539-3755
dc.relation
info:eu-repo/semantics/altIdentifier/eissn/1550-2376
dc.rights
Tots els drets reservats
dc.rights
info:eu-repo/semantics/openAccess
dc.source
© Physical Review E, 2004, vol. 70, núm. 3, p. 031913-1 - 031913-6
dc.source
Articles publicats (D-F)
dc.subject
Neolític -- Models matemàtics
dc.subject
Neolithic period -- Mathematical models
dc.subject
Rutes aleatòries (Matemàtica)
dc.subject
Random walks
dc.title
Multidelayed random walks: Theory and application to the neolithic transition in Europe
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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