Tomas Vetrik
Summary:
Extremal problems in graph theory related to distances in graphs, diameter of a graph, vertex degrees, vertex-transitive graphs and Cayley graphs will be studied in the lectures. The lecturer will introduce those concepts, and present theorems and proofs of some theorems. The theory will be illustrated by a lot of examples. The lecturer will also include research topics with applications in computer science, such as the degree-diameter problem, in his lectures.
Didier Aussel
Summary:
The aim of this course is fourfold, namely :
1. to introduce multi-leader-follower games
2. to explore the recent theoretical advances
3. to present some of the numerous applications of these optimization model
4. to present, in the case of Single-Leader-Follower games (SLMFG), the very recently tested SOS1-numerical scheme to determine, numerically, some solutions of these difficult problems.
Patrick Tchepmo Djomegni
Summary: De ce cours, nous espĂ©rons que les Ă©tudiants auront des outils minimums pour modĂ©liser la propagation des maladies Ă©pidĂ©miques, et Ă©tudier des stratĂ©gies de contrĂŽle. Les Ă©tudiants acquerront de connaissances nouvelles qui les prĂ©pareront pour leurs travaux thĂšse (mĂ©moire). LâuniversitĂ© en bĂ©nĂ©ficiera aussi Ă travers le renforcement des capacitĂ©s de ses futurs enseignants.
Etienne Pardoux
Summary: On prĂ©sente les mesures alĂ©atoires de Poisson, et comment celles-ci permettent de construire les processus de LĂ©vy, mais aussi les Ă©quations diffĂ©rentielles stochastiques Ă sauts, ainsi que les processus de branchement Ă espace dâĂ©tat 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, malariaâŠ) 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: Ramesh Gautam, Mathematical Biology Research Centre (MBRC), Nepal
Coordinators: Gourav Arora (India), Youcef Mammeri (France)
Frédérique Oggier
Summary: In this course, we taught show how lattices and codes, both independently and jointly, are used in the context of communication systems. The course was structured as follows :