Correlation Functions in the Finite Toom Model

Abstract

This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1q-Toom model and prove some known results about the density of 1’s and other correlation functions. In Chapter 3, we state and prove the three conjectures (posed in [1]) on the density of 1’s and correlations at a block of sites at the end of the system. Finally, in Chapter 4, we state the conjecture on the nonequilibrium partition function (posed in [1]) and prove some partial results