On a gambler's ruin problem
Mohamed A. El-Shehawey, Bakheet N. Al-Matrafi (1997)
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Mohamed A. El-Shehawey, Bakheet N. Al-Matrafi (1997)
Mathematica Slovaca
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Ahmed El-Shehawy (1992)
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J. Chavarriga, J. Giné (1998)
Extracta Mathematicae
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A. E. Gibson, B. W. Conolly (1971)
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Sanjar Aspandiiarov, Roudolf Iasnogorodski (1999)
Annales de l'I.H.P. Probabilités et statistiques
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Amine Asselah (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.