## Probability Surveys

### Integrable probability: From representation theory to Macdonald processes

#### 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.

#### Article information

Source
Probab. Surveys, Volume 11 (2014), 1-58.

Dates
First available in Project Euclid: 17 March 2014

https://projecteuclid.org/euclid.ps/1395076923

Digital Object Identifier
doi:10.1214/13-PS225

Mathematical Reviews number (MathSciNet)
MR3178541

Zentralblatt MATH identifier
1295.82023

#### Citation

Borodin, Alexei; Petrov, Leonid. Integrable probability: From representation theory to Macdonald processes. Probab. Surveys 11 (2014), 1--58. doi:10.1214/13-PS225. https://projecteuclid.org/euclid.ps/1395076923

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