Instituto de Investigación
en Matemáticas


Grandes desviaciones y Teoremas de Szegö-Verblunsky

Fabrice Gamboa (Université Paul Sabatier, Toulouse)

Fecha: 19/09/2017 12:00
Lugar: Sala de Grados I, Facultad de Ciencias
Grupo: G.I.R. Probabilidad y Estadística Matemática

In this talk, we will discuss some of our recent results concerning the proof of sum rules that uses large deviations properties of spectral measures built on random matrices. Roughly speaking, a sum rule is an identity relating the Kullback information to a function of coefficients involved in the construction of orthogonal polynomials. One of the most famous sum rules is the Szegö-Verblunsky Theorem.