Integrable Stochastic Particle Systems and Macdonald Processes
| Special Lecture | |
| Topic: | Integrable Stochastic Particle Systems and Macdonald Processes |
| Speaker: | Alexei Borodin |
| Affiliation: | Massachusetts Institute of Technology |
| Date: | Thursday, April 25 |
| Time/Room: | 2:00pm - 3:00pm/S-101 |
A large class of one dimensional stochastic particle systems are predicted to share the same universal long-time/large-scale behavior. By studying certain integrable models within this (Kardar-Parisi-Zhang) universality class we access what should be universal statistics and phenomena. In this talk we focus on two different integrable exclusion processes: q-TASEP and ASEP. Using them as a prompt, we will describe the theory of Macdonald processes which unites integrability in various areas of probability including directed polymers, interacting particle systems, growth processes, and random matrix theory.