

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


Coulomb gas approach to conformal field theory and lattice models of 2D statistical physics
By Stanislav Smirnov
By Nizar Demni
Appears in collection : French Japanese Conference on Probability and Interactions
This talk is concerned with selected probabilistic aspects of Dunkl operators. In the first part, I'll revisit Cepa and Lepingle study of particles on the real line then I'll show how it extends to radial Dunkl processes associated to reduced root sytems. In the second part, I'll talk about the reflected Brownian motion in Weyl chambers. In this respect, I'll exhibit its construction using folding operators and provide the Tanaka-type formula it satisfies. The last part is devoted to the mysterious occurrence of simple Hurwitz numbers in the expression of the Dunkl interwining operator and in particular in the generalized Bessel function (HCIZ integral).