Théorème central-limite pour la fragmentation


Seminar Données et Aléatoire Théorie & Applications

13/03/2019 - 14:00 Mr Sylvain Rubenthaler (Univ. de Nice) Salle 106 - Batiment IMAG

We are interested in a fragmentation process. We observe fragments frozen when their sizes are less than ε (ε > 0). It is known ([BM05]) that the empirical measure of these fragments converges in law, under some renormalization. In [HK11], the authors show a bound for the rate of convergence. Here, we show a central-limit theorem, under some assumptions.