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Definition d’une distance entre deux mobiles se deplacant de facon aleatoire sur une droite

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Abstract

Adistance between two mobiles performing a random walk in one dimension is defined. At a given time this distance is directly related to theprobability of encounter for the mobiles. This definition is used when the motion of the mobiles is a Wiener-Levy process, first in the case of an unrestricted random walk, then if a reflecting or absorbing barrier is introduced.

Résumé

Pour le biologiste, la notion dedistance entre deux ou plusieurs éléments d’un ensemble est très utile car elle sert à mesurer laproximité, laparenté, laressemblance qui existe entre ces éléments ou parties selon le caractère auquel on s’intéresse (position géographique, situation chronologique, aptitudes, phénotypes, composition chimique etc...).

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Authors and Affiliations

  1. Laboratoire de Biométrie, Section de Biologie générale et appliquée, Faculté des Sciences de Lyon, Lyon, France

    M. Pagès

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  1. M. Pagès
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Pagès, M. Definition d’une distance entre deux mobiles se deplacant de facon aleatoire sur une droite. Bulletin of Mathematical Biophysics 32, 179–195 (1970). https://doi.org/10.1007/BF02476884

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  • DOI: https://doi.org/10.1007/BF02476884

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