R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Spectral Statistics of Random Graphs
Horng-Tzer Yau (Harvard University)
Abstract:
In this talk, I’ll review the recent progress in the spectral statistics for the adjacency matrix of random sparse graphs. The classes of matrices reviewed includes Erdös-Rényi graphs and d-regular graphs. In addition to eigenvalues, we will also discuss the eigenvector statistics and the quantum unique ergodicity.