Comptes Rendus
no. 11
Edge oriented reinforced random walks and RWRE
[Marches aléatoires renforcées sur les arêtes orientées et marches aléatoires en milieu aléatoire]
Nathanaël Enriquez1 ; Christophe Sabot1
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.

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.

Reçu le :
Révisé le :
Publié le :
DOI : 10.1016/S1631-073X(02)02580-3

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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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/

[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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  • Omer Adelman; Nathanaël Enriquez Random walks in random environment: What a single trajectory tells, Israel Journal of Mathematics, Volume 142 (2004), pp. 205-220 | DOI:10.1007/bf02771533 | Zbl:1051.60046

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