MA 397: Topics in Rigorous Statistical Mechanics

Credits: 3:0

We shall cover a selection of topics in probability theory coming from statistical physics models on the Euclidean lattice. A few possible examples of the models include: Ising model, O(N) model, Gaussian free field, contact process, voter model and exclusion processes.

Pre-requisites: This course will be aimed at Int-Ph.D. and PhD students working in probability theory and related areas. A course in graduate probability theory is useful, but not absolutely necessary. A student with a strong undergraduate background in probability (i.e., without measure theory) might also find this course accessible.

Suggested books and references:

  1. Frideli and Velenik, Statistical Mechanics of Lattice Systems, Cambridge University Press, 2017.
  2. Liggett, Interacting Particle Systems, Springer, 1985.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 18 May 2024