32 citations · 49 across the 4 of their papers we have counts for
4 papers
Pathwise asymptotic behavior of random determinants in the uniform Gram and Wishart ensembles
Alain Rouault
This paper concentrates on asymptotic properties of determinants of some random symmetric matrices. If B_{n,r} is a n x r rectangular matrix and B_{n,r}' its transpose, we study de…
Connecting Yule Process, Bisection and Binary Search Tree via Martingales
B. Chauvin, A. Rouault
We present new links between some remarkable martingales found in the study of the Binary Search Tree, or of the Bisection Problem, looking at them on the probability space of a co…
Asymptotical behaviour of the presence probability in branching random walks and fragmentations
Jean Bertoin, Alain Rouault
For a subcritical Galton-Watson process , it is well known that under an condition, the quotient has a finite positive limit. There is an analo…
Discretization methods for homogeneous fragmentations
Jean Bertoin, Alain Rouault
Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogs of a certai…