The Periodic Ising Model

The Ising model is one of the most studied models of modern physics. Since its introduction in 1925 by E. Ising, more than a thousand research papers have been published on the subject. The model has had great success in shedding light on the existence of phase transitions at a finite temperature. The simplicity of the model made it possible to obtain exact mathematical results in the thermodynamic limit of statistical mechanics. In this talk I will introduce the Periodic Ising model and give a brief review of its history and some of its applications. Then I will describe some recent results connected to the correlation functions of the model.