[Seminario] INVITACION SEMINARIO Conjunto Núcleo MESCD y Modelamiento Estocástico, jueves 24 a las 16:30 hrs.
Maria Ines
mrivera en dim.uchile.cl
Mar Nov 22 11:18:17 CLST 2016
Estimados Académicos y Alumnos,
Se les invita para este 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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