Date/heure
4 juin 2020
10:45 - 11:45
Oratrice ou orateur
Andreas Kyprianou
Catégorie d'évènement Séminaire Probabilités et Statistique
Résumé
We look at at a coupled system of stochastic differential equations that describe an infinite parametric family of genealogical skeletal decompositions of a general continuous state branching process (CSBP), supercritical, critical and subcritical. This puts into a common framework a number of known and new path decompositions of CSBPs, including those which involve continuum random trees, and allow us to connect the notion of Evans-O’Connell immortal particle decomposition to that of the skeletal decomposition. This is joint work with Dorka Fekete (Exeter) and Joaquin Fontbona (U. de Chile).