Modul:   MAT971  Seminar über stochastische Prozesse

The Kac-Ward solution of the 2D Ising model

Talk by Prof. Dr. Daniel Ueltschi

Date: 22.11.23  Time: 17.15 - 18.45  Room: Y27H12

Onsager proposed a closed-form expression of the free energy of the Ising model in 1944. The method of Kac and Ward is particularly elegant and it has recently be made rigorous by Lis and Aizenman-Warzel. I will show how to extend it to the triangular lattice, with coupling constants of arbitrary signs.

This is ongoing work with Georgios Athanasopoulos.