Subgaussianity and exponential integrability of real random variables: comparison of the norms

Rita Giuliano Antonini

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Annealed upper tails for the energy of a charged polymer

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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.

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On the asymptotic expansion of the Airy function

Fausto Segala (1999)

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Si prova una nuova formula di rappresentazione per la famosa funzione di Airy. Ne viene data applicazione per la determinazione di certi bounds significativi per la funzione stessa.