Displaying similar documents to “Random weighted Sidon sets”

On the number of prime factors of summands of partitions

Cécile Dartyge, András Sárközy, Mihály Szalay (2006)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We present various results on the number of prime factors of the parts of a partition of an integer. We study the parity of this number, the extremal orders and we prove a Hardy-Ramanujan type theorem. These results show that for almost all partitions of an integer the sequence of the parts satisfies similar arithmetic properties as the sequence of natural numbers.

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.