1 citations · 2 across the 7 of their papers we have counts for
5 papers · 1 filter
Central limit theorem for crossings in randomly embedded graphs
Santiago Arenas-Velilla, Octavio Arizmendi, J. E. Paguyo
We consider the number of crossings in a random embedding of a graph, , with vertices in convex position. We give explicit formulas for the mean and variance of the number of cr…
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…
Extremal Laws for Laplacian Random Matrices
Santiago Arenas-Velilla, Victor Pérez-Abreu
For an Laplacian random matrix with Gaussian entries it is proven that the fluctuations of the largest eigenvalue and the largest diagonal entry of a…