An Inhomogeneous Directed Ising Model

by Dr Arvind Ayyer (University of California, Davis)

Monday 7 Jan 2013, 16:00 → 17:00 Asia/Kolkata

A304 (Colaba Campus)

Motivated by Glauber dynamics of the Ising model, I will describe a dynamical model of spins in one dimension at zero temperature with bond disorder. I will prove exact formulas for the spectrum and density for any size. I will then specialize the model to two natural cases, where explicit formulas for the partition function can be proved.