The Lee-Yang theorem in probability and statistical physics
Vortrag von Prof. Dr. Alexander Vandenberg-Rodes
Sprecher eingeladen von: Prof. Dr. Ashkan Nikeghbali
Datum: 25.09.13 Zeit: 17.15 - 18.15 Raum: ETH
First proved for the Ising model of magnetization, the Lee-Yang Circle Theorem is a remarkable restriction on location of zeros of the partition (generating) function, and is the starting point for a large body of research into the nature of phase transitions in many models of statistical physics. In this talk I will give a brief overview of the Lee-Yang theory, which can be nicely expressed in terms of the stability properties of linear transformations through the recent work of J. Borcea and P. Branden. I'll then discuss a nice application to the symmetric exclusion process.