Integrable probability: From representation theory to Macdonald processes

These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q, t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdon...

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Bibliographic Details
Main Authors: Borodin, Alexei, Petrov, Leonid
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Institute of Mathematical Statistics 2015
Online Access:http://hdl.handle.net/1721.1/92802
https://orcid.org/0000-0002-2913-5238