Abstract
In this project we propose the study of a ferromagnetic Ising model with a periodical external field. In particular, we consider the external field forming a chess-board, and alternately in each cell we put the value $h_1$ or $-h_2$, where $h_1, h_2> 0$.We address two particular mathematical questions, usually studied in the areas of probability and statistical mechanics: (1) characteriza…