Abstract
Chapter 5 is an overview of Dyck, Motzkin and partially directed path models of polymer entropy. Adsorbing paths, the Temperley method and factorisation methods are discussed, including the Bethe ansatz and models of random walks in the square lattice. The chapter also discusses solution of directed path models by the kernel method. In addition, staircase polygons and directed path models in layered environments and in wedges are reviewed.</jats:p
