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2014 Integrable probability: From representation theory to Macdonald processes
Alexei Borodin, Leonid Petrov
Probab. Surveys 11(none): 1-58 (2014). DOI: 10.1214/13-PS225

Abstract

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 Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer’s partition function.

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Alexei Borodin. Leonid Petrov. "Integrable probability: From representation theory to Macdonald processes." Probab. Surveys 11 1 - 58, 2014. https://doi.org/10.1214/13-PS225

Information

Published: 2014
First available in Project Euclid: 17 March 2014

zbMATH: 1295.82023
MathSciNet: MR3178541
Digital Object Identifier: 10.1214/13-PS225

Rights: Copyright © 2014 The Institute of Mathematical Statistics and the Bernoulli Society

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