Speaker: 

William Yessen

Institution: 

UC Irvine

Time: 

Friday, April 23, 2010 - 2:00pm

Location: 

RH 440R

We consider the classical 1D Ising model, where the coupling constants and the external magnetic field take one of two possible values at each site, according to a substitution rule. We shall introduce (briefly) the idea of a trace map corresponding to the given substitution rule and how its dynamical properties can be used to investigate the partition function and, consequently, the free energy function of the given Ising model.