Abstract
Chapter 7 provides an overview of self-avoiding walks, polygons and half-space walks. The Hammersley-Welsh construction is discussed, as well as the bridge decomposition of half-space walks. Loops, hoops and their relation to lattice polygons are reviewed. The generating functions of self-avoiding walks and the pattern theorem for models of walks are also discussed. In addition, the chapter covers the pattern theorem for interacting models of self-avoiding walks. Finally, curvature and knotting in stiff lattice polygons are considered.</jats:p
