

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 la collection : 5th Workshop Probability and Evolution / 5ème rencontre Probabilités et évolution
Consider a diploid population living in one spatial dimension. Suppose a particular gene appears in two forms (alleles) A and a, and that individuals carrying AA have a higher fitness than aa individuals, while Aa individuals have a lower fitness than both AA and aa individuals. We can prove that on a suitable timescale, the genealogy of a sample of A alleles taken from near the wavefront converges to a Kingman coalescent as the population density goes to infinity. Joint work with Alison Etheridge.