Instituto de Investigación
en Matemáticas

Seminario
Seminario

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

Abstract:
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.