Speaker: Prof. Marc Sedjro (German Research Chair, AIMS South Africa) Abstract: In this talk, we introduce several models of the so-called forward-forward Mean-Field Games (MFGs). The forward-forward models arise in the study of numerical schemes to approximate stationary MFGs. We establish a link between these models and a class of hyperbolic conservation laws. Furthermore, we investigate the
Speaker: Prof. Dr. Stefan Ankirchner (Professor of Stochastic Analysis, Institute of Mathematics, Friedrich-Schiller-University, Germany) Abstract: In this talk we will see that every one-dimensional continuous regular strong Markov process can be approximated with coin tossing Markov chains. In particular, it is possible to approximate an SDE with an irregular diffusion coefficient with such Markov chains. We also discuss the numerical approximation
Abstract: We will study the superhedging price (and superhedging strategies) of European and American options in non-linear incomplete market models with default, with a particular focus on the case of the American options which is more involved. We will provide a dual representation of the seller’s (superhedging) price for the American option in terms of
“Today, the African Institute for Mathematical Sciences (AIMS) celebrates the International Day of Mathematics . Hitherto celebrated as Pi Day. The IDM is important to us especially as it strongly supports our vision and mission. To all the students, alumni, visiting lecturers, tutors, researchers, partners and friends of the AIMS Global Network, may your contributions
Celebrating the International Day of Women AIMS’ commitment to scientific excellence, goes hand in hand with its commitment to promoting gender equity and inclusion. We believe that female researchers must equally be in the driver’s seat to contribute to a more sustainable approach to Africa’s and the world’s challenges. This is an strictly virtual event
Celebrating female participation in STEM related fields The IDWGS, which falls on the 11th of February each year, is a day set aside by UNESCO and UN Women in collaboration with institutions and civil society partners to promote women and girls in science.AIMS Ghana has fully championed female participation in STEM related fields. The center
Abstract: In this talk, we study a class of reflected backward stochastic differential equations (BSDEs) of mean-field type, where the mean-field interaction in terms of the expected value E[Y ] of the Y-component of the solution enters both the driver and the lower obstacle. We consider the case where the lower obstacle is a deterministic
Abstract: We study option prices in financial markets where the risky asset prices are modelled by jump diffusions. For simplicity, we put the risk-free asset price equal to 1. Such markets are typically incomplete, and therefore there are in general infinitely many arbitrage-free option prices in these markets. We consider in particular European options with
Abstract: Graphs are everywhere in mathematics if only we know how to identify these structures. The theory of graphs and the theory of knots have enjoyed a symbiotic relationship since the inception of knot theory. In this talk, we give a formal definition of a graph followed by a few examples. We also give a