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- W1983722791 abstract "Nous considérons une version discrète du modèle parabolique d’Anderson. Ceci nous permet, par exemple, d’étudier un polymère dirigé en dimension $1+d$ qui interagit avec un potentiel constant dans la direction déterministe et i.i.d. dans l’hyperplan orthogonal. Le potentiel en chaque site est une variable aléatoire positive dont la queue décroît polynomialement. Nous prouvons que, lorsque la taille du système tend vers l’infini, l’extrémité du polymère se localise presque surement en un site unique, que nous caractérisons et qui s’éloigne balistiquement de l’origine. Nous donnons également une caractérisation du comportement typique des trajectoires de ce modèle." @default.
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- W1983722791 date "2012-11-01" @default.
- W1983722791 modified "2023-09-25" @default.
- W1983722791 title "The discrete-time parabolic Anderson model with heavy-tailed potential" @default.
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- W1983722791 doi "https://doi.org/10.1214/11-aihp465" @default.
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