Height fluctuations through Schur generating functions

par Vadim Gorin (MIT)

jeudi 9 févr. 2017, 16:00 → 17:00 Europe/Paris

salle 435 (UMPA)

For a large number of stochastic systems of 2d statistical mechanics and asymptotic representation theory the smoothed global fluctuations remain finite as the size of the system grows. Their asymptotic is governed by (typically log-correlated) Gaussian fields. I will present a new approach for studying such fluctuations through Schur generating functions of the underlying measures. The approach produces in a unified way the asymptotic theorems for many systems, including random domino and lozenge tilings, non-intersecting random walks, decompositions of tensor products, quantum random walks on irreducible representations.