5 papers · 1 filter
On the subgaussian comparison theorem
Ramon van Handel
The aim of this expository note is to prove that any -subgaussian random vector is dominated in the convex ordering by a universal constant times a standard Gaussian vector. Thi…
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…
Matrix Concentration Inequalities and Free Probability II. Two-sided Bounds and Applications
Afonso S. Bandeira, Giorgio Cipolloni, Dominik Schröder +1
The first paper in this series introduced a new family of nonasymptotic matrix concentration inequalities that sharply capture the spectral properties of very general random matric…
A new approach to strong convergence
Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp +1
A family of random matrices is said to converge strongly to a family of bounded operators when $\|P(\bolds…
Extremal random matrices with independent entries and matrix superconcentration inequalities
Tatiana Brailovskaya, Ramon van Handel
We prove nonasymptotic matrix concentration inequalities for the spectral norm of (sub)gaussian random matrices with centered independent entries that capture fluctuations at the T…