172 citations · 763 across the 43 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2023
Moment inequalities for sums of weakly dependent random fields
Gilles Blanchard, Alexandra Carpentier, Oleksandr Zadorozhnyi
We derive both Azuma-Hoeffding and Burkholder-type inequalities for partial sums over a rectangular grid of dimension of a random field satisfying a weak dependency assumption…
math.PR2019
Volume Doubling Condition and a Local Poincaré Inequality on Unweighted Random Geometric Graphs
Franziska Göbel, Gilles Blanchard
The aim of this paper is to establish two fundamental measure-metric properties of particular random geometric graphs. We consider -neighborhood graphs whose vertices…