[Seminario] INVITACION SEMINARIO Conjunto Núcleo MESCD y Modelamiento Estocástico, jueves 24 a las 16:30 hrs.

Maria Ines mrivera en dim.uchile.cl
Jue Nov 17 14:23:55 CLST 2016


Estimados Académicos y Alumnos,

Se les invita para el próximo  Jueves 24 de Noviembre a las 16:30 hrs, 
al Seminario  Conjunto Núcleo MESCD y Modelamiento Estocástico, que 
tendrá lugar en la sala de Seminarios John Von Neumann CMM.

*Seminario Conjunto Núcleo MESCD y Modelamiento Estocástico

Expositor:

  Karl Liechty
(DePaul University)

Título:
Propagation of critical behavior for unitary invariant plus GUE random 
matrices

Abstract:*

It is a well known and celebrated fact that the eigenvalues of random 
Hermitian matrices from a unitary invariant ensemble form a 
determinantal point process with correlation kernel given in terms of a 
system of orthogonal polynomials on the real line. It is a much more 
recent result that the eigenvalues of the sum of such a random matrix 
with a matrix from the Gaussian unitary ensemble (GUE) also forms a 
determinantal point process, with the kernel given in terms of the 
Weierstrass transform of the original kernel. I’ll talk about the case 
in which the limiting distribution of eigenvalues is critical in the 
sense that there is a non-generic scaling limit for the correlation 
kernel, and discuss the effect of a Gaussian perturbation on the 
limiting critical kernel. This is joint work with Tom Claeys, Arno 
Kuijlaars, and Dong Wang.

Jueves 24 de Noviembre del 2016 a las 16:30 hrs, Sala de Seminarios John 
Von Neumann CMM Beauchef  851, Torre Norte, Piso 7.

Esperando contar con su presencia, les  saluda,

Ma. Inés Rivera

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