Random walks with interacting coordinates

Random walks with interacting coordinates is an interesting generalisation of random walks in multiple dimensions. The study of random walks is one of the cornerstones of probability theory. Allowing interaction between coordinates is am important aspect of the study. Bootstrap random walks allow for a strong dependence between the coordinates. This thesis examines the long-term behaviours of the bootstrap random walks and shows that the strong dependence vanished in the long run under certain conditions.