46 citations · 224 across the 39 of their papers we have counts for
40 papers
Markovian Random Words, a Gaussian Random Matrix Model and Beyond
Christian Houdré, Dorian Kidonakis
After centering and scaling, the length of the longest weakly increasing subsequence of a finite-state Markov random word converges to a Brownian last-passage functional with depen…
Iterated Jackknives and Two-Sided Variance Inequalities
Olivier Bousquet, Christian Houdré
We consider the variance of a function of independent random variables and provide new inequalities which, in particular, extend previous results obtained for symmetric functio…
Normal approximation for functions of hidden Markov models
Christian Houdré, George Kerchev
The generalized perturbative approach is an all purpose variant of Stein's method used to obtain rates of normal approximation. Originally developed for functions of independent ra…
On Stein's Method for Multivariate Self-Decomposable Laws
Benjamin Arras, Christian Houdré
This work explores and develops elements of Stein's method of approximation, in the infinitely divisible setting, and its connections to functional analysis. It is mainly concerned…
On the limiting law of the length of the longest common and increasing subsequences in random words with arbitrary distributions
Clément Deslandes, Christian Houdré
Let and be two independent sequences of i.i.d. random variables, with values in a finite and totally ordered alphabet $\mathcal{A}_m:=\{1,\dots,…
Power Lower Bounds for the Central Moments of the Last Passage Time for Directed Percolation in a Thin Rectangle
Christian Houdré, Chen Xu
In directed last passage site percolation with i.i.d.~random weights with finite support over a grid, we prove that for large enough, the order of t…