Lectures on integrable probability

2012/12/13 by Alexei Borodin, Vadim Gorin, Borodin, Alexei +1 · 1 voice
#math.PR #math-ph #math.CO

paper · pdf · doi:10.48550/arxiv.1212.3351

Abstract

These are lecture notes for a mini-course given at the St. Petersburg School in Probability and Statistical Physics in June 2012. Topics include integrable models of random growth, determinantal point processes, Schur processes and Markov dynamics on them, Macdonald processes and their application to asymptotics of directed polymers in random media.

Discussions

• out-of-left-field answer but Young tableaux and representation theory of S_n is one of the reasons why we have exact understanding of certain probabilistic models in the KPZ universality class, like e [bsky, 5 points, 1 comments]

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• Random and Integrable Models in Mathematics and Physics
• Lectures on Probability Theory
• Macdonald processes
• Lectures on random polymers
• Integrable Lattices: Random Matrices and Random Permutations