Localized large sums of random variables

Kevin Ford (1) , Gérald Tenenbaum (2)

1 Mathematics
2 IECN - Institut Élie Cartan de Nancy

We study large partial sums, localized with respect to the sums of variances, of a sequence of centered random variables. An application is given to the distribution of prime factors of typical integers.

Domaines: Théorie des nombres [math.NT]

Kevin Ford, Gérald Tenenbaum. Localized large sums of random variables. 2007. ⟨hal-00091337v2⟩