Outliers in the spectrum of iid matrices with bounded rank perturbations
By Terence Tao. 2010
175 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/d19ea41eb7b51f5e8ae81ece431b45df82ad8f7c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
In Mathematical Physics
- Charles Bordenave
- Djalil CHAFAÏ
- Pietro Caputo
- M. Capitaine
- F. Augeri
- Alice Guionnet
- Nicholas A. Cook
- Van H. Vu
In Statistics and Probability
- Charles Bordenave
- Djalil CHAFAÏ
- Pietro Caputo
- M. Capitaine
- Nicholas A. Cook
- F. Augeri
- Alice Guionnet
- Terence Tao
Citations in the corpus
- Linking Connectivity, Dynamics, and Computations in Low-Rank Recurrent Neural Networks. (2017, unknown): “We can then apply results from random matrix theory (Tao, 2013) which predict that, in the large N limit, the eigenspectra of the random and the structured parts do not interact, but sum together.”
- Spectrum of Markov Generators on Sparse Random Graphs (2012, methodology): “We will rely on a method that has already been successfully used in random matrix models with finite rank perturbations, for example in [5, 40].”
- Around the circular law (2011, background): “Yet another model related to projections in which each row has a zero sum is studied in [142].”
- Outlier Eigenvalues for Deformed I.I.D. Random Matrices (2014, background): “It generalizes Tao [51, Theorem 1.7] where A′N = 0.”