Date | 2017-04-20 |
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Speaker | 서성미 |

Dept. | 서울대 |

Room | 27-116 |

Time | 16:00-17:00 |

In this talk, I will introduce the distribution of eigenvalues of random normal matrix ensembles. Under the influence of an external potential, the eigenvalues tend to accumulate on a compact set and follow the equilibrium distribution. I will discuss the existence and universality of the microscopic densities of eigenvalues near a bulk singularity, an isolated point in the interior at which the equilibrium density vanishes. I will describe how the ward’s identity can be used to prove the universality and how we get the asymptotics for the Bergman function of some Fock-Sobolev spaces. This is joint work with Yacin Ameur.

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