5 citations · 11 across the 7 of their papers we have counts for
4 papers · 1 filter
Statistical estimation of a growth-fragmentation model observed on a genealogical tree
Marie Doumic, Marc Hoffmann, Nathalie Krell +1
We model the growth of a cell population by a piecewise deterministic Markov branching tree. Each cell splits into two offsprings at a division rate that depends on its size…
Energy efficiency of consecutive fragmentation processes
Joaquin Fontbona, Nathalie Krell, Servet Martinez
We present a first study on the energy required to reduce a unit mass fragment by consecutively using several devices, as it happens in the mining industry. Two devices are conside…
Martingales and Rates of Presence in Homogeneous Fragmentations
Nathalie Krell, Alain Rouault
The main focus of this work is the asymptotic behavior of mass-conservative homogeneous fragmentations. Considering the logarithm of masses makes the situation reminiscent of branc…
Self-similar branching Markov chains
Nathalie Krell
The main purpose of this work is to study self-similar branching Markov chains. First we will construct such a process. Then we will establish certain Limit Theorems using the theo…