Ibrahima Drame
Summary:
Ibrahima Drame
Summary:
Etienne Pardoux
Summary: On présente les mesures aléatoires de Poisson, et comment celles-ci permettent de construire les processus de Lévy, mais aussi les équations différentielles stochastiques à sauts, ainsi que les processus de branchement à espace d’état continu
Ibrahima Drame
Summary: Galton Watson process :
- without immigration
- with immigration
- multitype (with a finite number of types)
Continuous time branching process :
- with exponential lifetime distributions, i.e markovian branching process
Ibrahima Drame
Summary: In this course, we will study Galton- Watson processes, which are the simplest prototype of branching processes and are characterized by the fact that time is discrete and represents successive generations. On the other hand, we will consider branching processes in continuous time, that is, populations that reproduce and die at random times, continuously over time.
Etienne Pardoux
Summary: I will treat conditional expectation, uniform integrability tightness, and convergence in law. The exact content will depend upon how reactive the students are. I will give them exercises along the way.
Coordinator: Ténan Yeo (Université Félix Houphouët Boigny, Abidjan, Côte d'Ivoire)
Coordinators: Armel Fabrice Evrard YODE (yode.fabrice@ufhb.edu.ci) & Anne-Françoise YAO, Université Clermont Auvergne et École Polytechnique Paris, France (anne.yao@uca.fr).