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math.PR2022
On the links between Stein transforms and concentration inequalities for dependent random variables
Santiago Arenas-Velilla, Emilien Joly
In this paper, we explore some links between transforms derived by Stein's method and concentration inequalities. In particular, we show that the stochastic domination of the zero…
math.PR2022★ 1 cited
Extreme eigenvalues of Laplacian random matrices with Gaussian entries
Andrew Campbell, Kyle Luh, Sean O'Rourke +2
A Laplacian matrix is a real symmetric matrix whose row and column sums are zero. We investigate the limiting distribution of the largest eigenvalues of a Laplacian random matrix w…
math.PR2022
Convergence Rate for The Number of Crossing in a Random Labelled Tree
Santiago Arenas-Velilla, Octavio Arizmendi
We consider the number of crossings in a random labelled tree with vertices in convex position. We give a new proof of the fact that this quantity is asymptotically Gaussian with m…