Constructive Renormalization Group: A conference in memory of Pierluigi Falco

Probabilistic method in combinatorics using cluster expansion

10 Jun 2015, 16:30

1h

Auditorium B. Touschek, Bldg 36 (INFN - Laboratori Nazionali di Frascati <!--ID_UTENTE=509-->)

Speaker

Benedetto Scoppola (Univ. Tor Vergata Roma)

Description

We will discuss the connection between the cluster expansion and the probabilistic method, used in order to give a-priori bounds for discrete combinatorics problems. Accurate estimates of the radius of convergence of the cluster expansion, as the Fernandez-Procacci construction, allow better estimates in the related combinatorics problems. We provide concrete examples of applications of this technique.