The 52nd KMGS will be held on November 20, Thursday, at the Natural Science Building (E6-1) Room 1410. We invite a speaker Yoochan Han from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 한유찬 (Yoochan Han) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 이지운 (Ji Oon Lee)
[Title] Spectral Properties and Weak Detection in Stochastic Block Models
[Discipline] Probability Theory
[Abstract]
In this talk, I will introduce basic ideas from random matrix theory and explain how spectral methods are used to study random graphs. Focusing on the stochastic block model, I will present recent results showing a sharp phase transition in the extreme eigenvalues and a central limit theorem for linear spectral statistics. These results lead to a simple spectral test for detecting the presence of communities. This talk is based on the joint work with Prof. Ji Oon Lee and Dr. Wooseok Yang.
[Language] Korean