Probability Seminar: Stefan Adams
- Date: 04/02/2014
- Time: 15:00
Lecturer(s):
Stefan Adams, University of Warwick
Location:
University of British Columbia
Topic:
Gibbs formalism for Random Permutations
Description:
We will introduce a whole range of problems related to random permutations whose motivation goes back to the Bose-Einstein condensation in quantum statistical mechanics. After reviewing standard probabilistic approaches we will introduce a Gibbs formalism for random bijections of the planar integer lattice. Under certain energy assumptions we show the existence of Gibbs measures and discuss possible characterisation of different phases and address the problem of finite and infinite cycles in bijections of the planar integer lattice.
Other Information:
Location: ESB 2012