KPZ universality class and Integrable Probability
发布时间：2022年05月27日
浏览次数：3009
发布者: Wenqiong Li
主讲人： Kailun Chen (Leipzig University)
活动时间： 从 2022-06-06 15:00 到 2022-06-30 16:30
场地： 线上
Abstract:
Topics include:
1. KPZ universality class
2. Integrable probability
3. Last passage percolation and Robinson-Schensted-Knuth correspondence
4. Log-gamma polymer model and geometric lifting of RSK
5. Totally asymmetric simple exclusion process and KPZ fixed point
6. Asymmetric simple exclusion process and Bethe Ansatz
7. Higher spin six vertex model and symmetric function
8. Stochastic higher spin six vertex model and solvable models
Reference:
[1] A. Borodin and V. Gorin. Lectures on integrable probability. Probability and Statistical Physics in St. Petersburg, 2016, 91: 155-214.
[2] A. Borodin and L. Petrov. Integrable probability: From representation theory to Macdonald processes. Probability Surveys, 2014, 11: 1-58.
[3] A. Borodin and L. Petrov. Integrable probability: stochastic vertex models and symmetric functions. Stochastic Processes and Random Matrices, 2017, 104: 26-131.
Time:
6/6 6/9 6/13 6/16 6/20 6/23 6/27 6/30 15:00-16:30
腾讯会议：
会议号：418-656-2815 会议密码：511164
In this mini course, we give an introduction to the algebraic structures that underlie models in the KPZ universality class. Emphasis is placed on the symmetric function and Bethe Ansatz. We present how these representation theoretic objects are used to analyze the structure of solvable models in the KPZ universality class and lead to computation of their statistics. We also present how some solvable models in the KPZ universality class can be unified into the same algebraic framework: the higher spin six vertex model.
Topics include:
1. KPZ universality class
2. Integrable probability
3. Last passage percolation and Robinson-Schensted-Knuth correspondence
4. Log-gamma polymer model and geometric lifting of RSK
5. Totally asymmetric simple exclusion process and KPZ fixed point
6. Asymmetric simple exclusion process and Bethe Ansatz
7. Higher spin six vertex model and symmetric function
8. Stochastic higher spin six vertex model and solvable models
Reference:
[1] A. Borodin and V. Gorin. Lectures on integrable probability. Probability and Statistical Physics in St. Petersburg, 2016, 91: 155-214.
[2] A. Borodin and L. Petrov. Integrable probability: From representation theory to Macdonald processes. Probability Surveys, 2014, 11: 1-58.
[3] A. Borodin and L. Petrov. Integrable probability: stochastic vertex models and symmetric functions. Stochastic Processes and Random Matrices, 2017, 104: 26-131.
Time:
6/6 6/9 6/13 6/16 6/20 6/23 6/27 6/30 15:00-16:30
腾讯会议：
会议号：418-656-2815 会议密码：511164
