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
Didier Jean CAUCAL
Summary: In this automaticity course we will teach the recognition of infinite words by automata. We will study the complexity of these infinite words and the non-algebraicity of the irrational numbers they represent. We will discuss its extension via battery-powered automata.
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
Patrick Tchepmo Djomegni
Summary: In this course, students will be introduced to the mathematical modeling of infectious diseases. Basic knowledge on certain diseases (tuberculosis, HIV/AIDS, hepatitis, malaria…) will be provided. Only deterministic mathematical models will be studied. Since the models are expressed in the form of ordinary differential equations, most of them cannot be solved explicitly. The qualitative characteristics of the solutions will be studied.
Coordinator: Mustafa Topkara (Mimar Sinan Fine Arts University, Turkey)
Coordinator: Bengier Ülgen Kılıç - University at Buffalo, USA
Coordinator: Rajesh Kumar (BITS, India)
Coordinator: Balazs Szendroi (University of Vienna, Austria)
Coordinator: Abdoul Salam Diallo (Université Alioune Diop de Bambey, Senegal)
Coordinator: Charline UWILINGIYIMANA (INES-Ruhengeri-Institute of Applied Sciences, Rwanda)