Height fluctuations through Schur generating functions
par
Vadim Gorin(MIT)
→
Europe/Paris
salle 435 (UMPA)
salle 435
UMPA
Description
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.