23 citations · 40 across the 18 of their papers we have counts for
4 papers · 1 filter
Multiple drawing multi-colour urns by stochastic approximation
Nabil Lasmar, Cécile Mailler, Olfa Selmi
A classical Pólya urn scheme is a Markov process whose evolution is encoded by a replacement matrix . At every discrete time-step, we draw a ball unifo…
A bijective study of Basketball walks
Jérémie Bettinelli, Éric Fusy, Cécile Mailler +1
The Catalan numbers count many classes of combinatorial objects. The most emblematic such objects are probably the Dyck walks and the binary trees, and, whenever another class of c…
Measure-valued Pólya processes
Cécile Mailler, Jean-François Marckert
A Pólya urn process is a Markov chain that models the evolution of an urn containing some coloured balls, the set of possible colours being for .…
Non-extensive condensation in reinforced branching processes
Steffen Dereich, Cecile Mailler, Peter Morters
We study a class of branching processes in which a population consists of immortal individuals equipped with a fitness value. Individuals produce offspring with a rate given by the…