Tid: 10 maj 2004 kl 1515-1700
Plats : Seminarierummet 3733, Institutionen för matematik, KTH, Lindstedts väg 25, plan 7. Karta!
Föredragshållare: Kurt Johansson, Matematik, KTH.
Titel: Universality of distributions from random matrix theory
Sammanfattning: Limit distributions from random matrix theory, e.g. the limiting point processes of eigenvalues, are universal in the sense that they do not depend on the details of the random matrix. There are several results in this direction, but to prove this universality is to a large extent still an open problem.
These random matrix distributions also occur in very different contexts, namely in certain discrete probability problems related to random permutations, random growth, probability measures on partitions and random tilings. This shows that the laws coming from random matrix theory are natural limit laws not necessarily associated with random matrices in any immediate way. Convergence to these laws can still only be achieved in certain exactly solvable models, and it remains a challange to understand them more generally.