Yiting Li: Rigidity of eigenvalues for beta ensemble in multi-cut regime
Time: Tue 2017-10-10 15.15 - 16.15
Location: F11, KTH
Participating: Yiting Li
Abstract: I will first talk about the background and some well known results of beta ensemble. Then I will introduce the rigidity of eigenvalues for beta ensemble in multi-cut regime, i.e., the fact that each eigenvalue in the bulk is very close to its "classical location". The probability that the distance between the eigenvalue and its classical location is larger than \(N^{-1+r}\) is exponentially small where r is an arbitrarily small positive number. The model is an generalization of the beta ensemble in one-cut regime for which the rigidity of eigenvalues was proved by Bourgade, Erdos and Yau.