20 citations · 20 across the 5 of their papers we have counts for
4 papers · 1 filter
Monotonicity of the logarithmic energy for random matrices
Djalil Chafaï, Benjamin Dadoun, Pierre Youssef
It is well-known that the semi-circle law, which is the limiting distribution in the Wigner theorem, is the minimizer of the logarithmic energy penalized by the second moment. A ve…
Self-similar growth-fragmentations as scaling limits of Markov branching processes
Benjamin Dadoun
We provide explicit conditions, in terms of the transition kernel of its driving particle, for a Markov branching process to admit a scaling limit toward a self-similar growth-frag…
Asymptotics of self-similar growth-fragmentation processes
Benjamin Dadoun
Markovian growth-fragmentation processes introduced by Bertoin extend the pure fragmentation model by allowing the fragments to grow larger or smaller between dislocation events. W…
A statistical view on exchanges in Quickselect
Benjamin Dadoun, Ralph Neininger
In this paper we study the number of key exchanges required by Hoare's FIND algorithm (also called Quickselect) when operating on a uniformly distributed random permutation and sel…