7 papers
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…
The strong convergence phenomenon
Ramon van Handel
In a seminal 2005 paper, Haagerup and Thorbjørnsen discovered that the norm of any noncommutative polynomial of independent complex Gaussian random matrices converges to that of a…
Computing extreme singular values of free operators
Emre Parmaksiz, Ramon van Handel
A recent development in random matrix theory, the intrinsic freeness principle, establishes that the spectrum of very general random matrices behaves as that of an associated free…
On Minkowski's monotonicity problem
Ramon van Handel, Shouda Wang
We address an old open question in convex geometry that dates back to the work of Minkowski: what are the equality cases of the monotonicity of mixed volumes? The problem is equiva…
Strong convergence of uniformly random permutation representations of surface groups
Michael Magee, Doron Puder, Ramon van Handel
Let be the fundamental group of a closed orientable surface of genus at least two. Consider the composition of a uniformly random element of with the $(…
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…