V
Van Vu
Researcher at Yale University
Publications - 244
Citations - 11297
Van Vu is an academic researcher from Yale University. The author has contributed to research in topics: Random matrix & Matrix (mathematics). The author has an hindex of 54, co-authored 240 publications receiving 10396 citations. Previous affiliations of Van Vu include Tel Aviv University & National University of Singapore.
Papers
More filters
Journal ArticleDOI
Random matrices: Universality of local eigenvalue statistics
Terence Tao,Van Vu +1 more
TL;DR: The universality of the local eigenvalue statistics of random matrices is studied in this article, where it is shown that these statistics are determined by the first four moments of the distribution of the entries.
Journal ArticleDOI
Spectra of random graphs with given expected degrees
Fan Chung,Linyuan Lu,Van Vu +2 more
TL;DR: In this article, it was shown that the eigenvalues of the Laplacian of a random power-law graph follow the Wigner's semicircle law, whereas the spectrum of the adjacency matrix obeys the power law.
Journal ArticleDOI
Random matrices: Universality of ESDs and the circular law
TL;DR: In this article, the authors considered the limiting distribution of the normalized ESD of a random matrix An, where the random variables aij−E(aij) are i.i.d. copies of a fixed random variable x with unit variance.
Posted Content
Random matrices: Universality of ESDs and the circular law
TL;DR: In this article, the authors consider the limiting distribution of the normalized ESD of a random matrix, where the random variables are copies of a fixed random variable with unit variance, and show that the limit distribution in question is independent of the actual choice of the variable.
Journal ArticleDOI
Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
Terence Tao,Van Vu +1 more
TL;DR: The universality of the eigenvalues of Wigner random matrices has been studied in this article, where the authors show that there is a significant bias in the Cauchy interlacing law near the edge of the spectrum, which allows one to continue ensuring the delocalization of eigenvectors.