4 papers · 1 filter
A new approach to strong convergence II. The classical ensembles
Chi-Fang Chen, Jorge Garza-Vargas, Ramon van Handel
The first paper in this series introduced a new approach to strong convergence of random matrices that is based primarily on soft arguments. This method was applied to achieve a re…
Strong convergence: a short survey
Ramon van Handel
A family of random matrices is said to converge strongly to a limiting family of operators if the operator norm of every noncommutative polynomial of the matrices converges to that…
Matrix Chaos Inequalities and Chaos of Combinatorial Type
Afonso S. Bandeira, Kevin Lucca, Petar NiziÄ-Nikolac +1
Matrix concentration inequalities and their recently discovered sharp counterparts provide powerful tools to bound the spectrum of random matrices whose entries are linear function…
Universality and sharp matrix concentration inequalities
Tatiana Brailovskaya, Ramon van Handel
We show that, under mild assumptions, the spectrum of a sum of independent random matrices is close to that of the Gaussian random matrix whose entries have the same mean and covar…