KPZ universality, particle systems and polymer models

03/10/2016 - 16:00
03/10/2016 - 17:30
Janosch Ortmann
Concordia University, Math Help Center, room 912.00 / Library Building, 1400 de Maisonneuve Blvd. West, Montréal

The Kardar-Parisi-Zhang (KPZ) universality conjecture describes the long-time behaviour of a number of mathematical models of physical processes, which differs from the Central Limit Theorem by the size of the fluctuations as well as the limiting distribution. 

Physicists have predicted that a large number of models, including interacting particle systems and polymers, belong to this class. However, mathematical proofs have turned out to be very difficult to obtain, even for special cases. Such proofs have shown deep connections with, amongst others, algebra, combinatorics and queueing theory.  I will give an overview over some aspects of recent progress in this area.  The talk is based on joint work with Neil O'Connell (Warwick), Jeremy Quastel (Toronto) and Daniel Remenik (Santiago).

Last edited by on Thu, 03/03/2016 - 15:40