Three-dimensional reflected driftless random walks in troughs : new asymptotic behavior
Sanjar Aspandiiarov, Roudolf Iasnogorodski (1999)
Annales de l'I.H.P. Probabilités et statistiques
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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.
Kerbashev, Tzvetozar (1999)
Serdica Mathematical Journal
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The maximum M of a critical Bienaymé-Galton-Watson process conditioned on the total progeny N is studied. Imbedding of the process in a random walk is used. A limit theorem for the distribution of M as N → ∞ is proved. The result is trasferred to the non-critical processes. A corollary for the maximal strata of a random rooted labeled tree is obtained.
A. Plucińska (1962)
Colloquium Mathematicae
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Paavo Salminen, Pierre Vallois (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Ahmed El-Shehawy (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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