66 citations · 183 across the 33 of their papers we have counts for
4 papers · 1 filter
Asymptotic zero distribution of random orthogonal polynomials
Thomas Bloom, Duncan Dauvergne
We consider random polynomials of the form where the are i.i.d non-degenerate complex random variables, and the are orthonorma…
Logarithmic potential theory and large deviation
T. Bloom, N. Levenberg, F. Wielonsky
We derive a general large deviation principle for a canonical sequence of probability measures, having its origins in random matrix theory, on unbounded sets of with…
Large Deviation For Outlying Coordinates in Beta Ensembles
Thomas Bloom
For Y a subset of the complex plane,a beta ensemble is a sequence of probability measures on Y^n for n=1,2,3...depending on a real-valued continuous function Q and a real positive…
Almost Sure Convergence for Angelesco Ensembles
Thomas Bloom
Almost surely in an Angelesco ensemble,the normalized counting measure of a random point converges weak* to the equilibrium measure.This result, for orthogonal polynomial ensembles…