Annealed upper tails for the energy of a charged polymer
Amine Asselah (2011)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
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.