4 papers
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 $(n-…
Discrete time nonlinear filters with informative observations are stable
Ramon van Handel
The nonlinear filter associated with the discrete time signal-observation model is known to forget its initial condition as regardless of the observation s…