Palestra: Probabilistic model for integer partitions
Palestrante: Stella Brassesco (Instituto Venezolano de Investigaciones Científicas)

Data: 9 de março de 2020 (segunda-feira)
Hora: 15:30 h

Resumo: A family of independent random variables can be associated to the sequence p(n), which counts the number of partitions of a natural number n. The sum of those variables, suitably normalized, can be seen to converge to a Gaussian random variable, which suggests a method to obtain detailed asymptotics for p(n) an n goes to infinity. Moreover, the representation is useful to deduce asymptotic properties when the uniform distribution is considered on the set of partitions of n.

The problem is related with questions arising in several contexts.