Edge oriented reinforced random walks and RWRE

Nathanaël Enriquez; Christophe Sabot

doi:10.1016/S1631-073X(02)02580-3

Edge oriented reinforced random walks and RWRE

Nathanaël Enriquez ¹; Christophe Sabot ¹

¹ Laboratoire de probabilités de Paris 6, 4, place Jussieu, 75252 Paris cedex 05, France

Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 941-946.

Abstract
Résumé

The aim of this text is to present, in a general framework, a precise and explicit correspondance between a class of edge oriented reinforced random walks and random walks in random environment.

Le but de cet article est de présenter, dans un cadre général, une correspondance précise et explicite entre une classe de marches aléatoires renforcées sur les arêtes orientées et les marches aléatoires en milieu aléatoire.

Received: 2002-08-16
Revised: 2002-10-04
Published online: 2002-10-29

DOI: 10.1016/S1631-073X(02)02580-3

Author's affiliations:

Nathanaël Enriquez ¹; Christophe Sabot ¹

¹ Laboratoire de probabilités de Paris 6, 4, place Jussieu, 75252 Paris cedex 05, France

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     author = {Nathana\"el Enriquez and Christophe Sabot},
     title = {Edge oriented reinforced random walks and {RWRE}},
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     pages = {941--946},
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     number = {11},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02580-3},
     language = {en},
}

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Nathanaël Enriquez; Christophe Sabot. Edge oriented reinforced random walks and RWRE. Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 941-946. doi : 10.1016/S1631-073X(02)02580-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02580-3/

References
Cited by

[1] W. Feller An Introduction to Probability Theory and its Applications, Vol. II, Wiley, New York, NY, 1950

[2] T.H. Hildebrandt; I.J. Schoenberg On linear functional operators and the moment problem for a finite interval in one or several dimensions, Ann. Math. (2), Volume 34 (1933), pp. 317-328

[3] R. Pemantle Phase transition in reinforced random walk and RWRE on trees, Ann. Probab, Volume 16 (1988) no. 3, pp. 1229-1241

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