Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 368a: Exclusion processes

Credits: 3:0

Prerequisite courses: MA261

Review of discrete and continuous time Markov chains, review of equilibrium and nonequilibrium statistical mechanics, Ising model in one dimension, Glauber dynamics, Bethe ansatz, Yang-Baxter equation, asymmetric simple exclusion processes with periodic and open boundary conditions, multispecies exclusion processes, zero range processes, Schur and Macdonald processes

Suggested books and references:

1. Rodney J. Baxter, Exactly solved models in statistical mechanics, Integrable Systems in Statistical Mechanics. May 1985, 5–63.
2. Bernard Derrida, An exactly soluble non-equilibrium system: The asymmetric simple exclusion process, Physics Reports 301 (1998), 65–83.
3. Arvind Ayyer, Exclusion processes with drift, LPS 2017 lecture notes.

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