Pierre Youssef

activity

20152023

most citedLimiting spectral distribution of random self-adjoint quantum channels

1 citations · 1 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.PR2019

Matrix Poincaré inequalities and concentration

Richard Aoun, Marwa Banna, Pierre Youssef

We show that any probability measure satisfying a Matrix Poincaré inequality with respect to some reversible Markov generator satisfies an exponential matrix concentration inequali…

math.PR2019

Outliers in spectrum of sparse Wigner matrices

Konstantin Tikhomirov, Pierre Youssef

In this paper, we study the effect of sparsity on the appearance of outliers in the semi-circular law. Let $(W_{n})_{n = 1}^{\infty}$ be a sequence of random symmetric matrices such that…

math.PR2018

Circular law for sparse random regular digraphs

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2

Fix a constant $C \geq 1$ and let $d = d (n)$ satisfy $d \leq ln^{C} n$ for every large integer $n$ . Denote by $A_{n}$ the adjacency matrix of a uniform random directed $d$ -regular graph…

math.PR2015

Minimax of an n-dimensional Brownian motion

Konstantin Tikhomirov, Pierre Youssef

For some absolute constants $c$ , $n_{0}$ and any $n \geq n_{0}$ , we show that with probability close to one the convex hull of the $n$ -dimensional Brownian motion ${\rm conv}\{BM_n(t):\…