M
Manjunath Krishnapur
Researcher at Indian Institute of Science
Publications - 43
Citations - 2814
Manjunath Krishnapur is an academic researcher from Indian Institute of Science. The author has contributed to research in topics: Random matrix & Gaussian. The author has an hindex of 19, co-authored 42 publications receiving 2569 citations. Previous affiliations of Manjunath Krishnapur include University of California, Berkeley & University of Toronto.
Papers
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Journal ArticleDOI
Determinantal Processes and Independence
TL;DR: In this paper, the authors give a probabilistic introduction to determinantal and per-manental point processes and establish analogous representations for permanental pro- cesses, with geometric variables replacing the Bernoulli variables.
MonographDOI
Zeros of Gaussian Analytic Functions and Determinantal Point Processes
TL;DR: The book examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients, which share a property of 'point-repulsion', and presents a primer on modern techniques on the interface of probability and analysis.
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
The single ring theorem
TL;DR: In this article, the authors studied the empirical measure LAn of the eigenvalues of non-normal square matrices of the form An = UnTnVn with Un;Vn independent Haar distributed on the unitary group and Tn real diagonal.