1 citations · 2 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Crossings in Randomly Embedded Graphs
Santiago Arenas-Velilla, Octavio Arizmendi
We consider the number of crossings in a graph which is embedded randomly on a convex set of points. We give an estimate to the normal distribution in Kolmogorov distance which imp…