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Quenched scaling limits of trap models

Landim, Claudio; Jara, Milton; Quadros Teixeira, Augusto (2011), Quenched scaling limits of trap models, Annals of Probability, 39, 1, p. 176-223. http://dx.doi.org/10.1214/10-AOP554

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00362731/en/
Date
2011
Journal name
Annals of Probability
Volume
39
Number
1
Publisher
Institute of Mathematical Statistics
Pages
176-223
Publication identifier
http://dx.doi.org/10.1214/10-AOP554
Metadata
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Author(s)
Landim, Claudio
Jara, Milton
Quadros Teixeira, Augusto
Abstract (EN)
Fix a strictly positive measure $W$ on the $d$-dimensional torus $\bb T^d$. For an integer $N\ge 1$, denote by $W^N_x$, $x=(x_1, \dots, x_d)$, $0\le x_i 1$, if $W$ is a finite discrete measure, $W=\sum_{i\ge 1} w_i \delta_{x_i}$, we prove that the random walk which jumps from $x/N$ uniformly to one of its neighbors at rate $(W^N_x)^{-1}$ has a metastable behavior, as defined in \cite{bl1}, described by the $K$-process introduced in \cite{fm1}.
Subjects / Keywords
hydrodynamique; Marches aléatoires; Environnement aléatoire

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