Derrida's generalised random energy models 1 : models with finitely many hierarchies
Anton Bovier, Irina Kurkova (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Anton Bovier, Irina Kurkova (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Fraydoun Rezakhanlou (2002)
Annales de l'I.H.P. Probabilités et statistiques
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M. Fisz (1958)
Studia Mathematica
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David Pollard (2002)
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.
Renata Dziubińska, Dominik Szynal (1996)
Applicationes Mathematicae
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We introduce a concept of functional measures of skewness which can be used in a wider context than some classical measures of asymmetry. The Hotelling and Solomons theorem is generalized.
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.