2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95938The nearest neighbor contacts between the two halves of an N-site lattice self-avoiding walk offer an unusual example of scaling random geometry: for N going to infinity they are strictly finite in number but their radius of gyration Rc is power law distributed, ~ Rc^{-τ}, where τ>1 is a novel exponent characterizing universal behavior. A continuum of diverging lengths scales is associated to the Rc distribution. A possibly super-universal τ=2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.4 pages, 5 Postscript figures, uses psfig.sty; some sentences clarifiedStatistical Mechanicstext