

Lecture 3: What is the Universal Scaling Limit of Random Interface Growth, and What Does It Tell Us?
De Ivan Corwin


Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics
De Stanislav Smirnov
Apparaît dans les collections : Les probabilités de demain 2016, Mathematics of Epidemics
Antibody affinity maturation is a key process in adaptive immunity: it’s a mechanism which allows B-cells to produce high affinity antibodies against a specific antigen. Besides the biological motivations, the analysis of this learning process brought us to build a mathematical model which could be relevant to model other evolutionary systems, but also gossip or virus propagation. Our aim is to propose and analyze a mathematical model of the division-mutation-selection process of B-cells during an immune response. In particular, we investigate how the combination of various mutation models influences the typical time-scales characterizing the efficiency of the state space exploration. Our method is based on the complementarity between probabilistic tools and numerical simulations.