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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
Microscopic densities near bulk singularities in the random normal matrix model
Speaker
서성미   (서울대 )
Date
2017-04-20 16:00:00
Host
SNU
Place
129-406
Abstract



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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