title: Peculiar scaling of self-avoiding walk contacts.
abstract: The 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-->infinity they are strictly finite in number but their radius of gyration R(c) is power law distributed proportional to R(-tau)(c), where tau>1 is a novel exponent characterizing universal behavior. A continuum of diverging length scales is associated with the R(c) distribution. A possibly superuniversal tau = 2 is also expected for the contacts of a self-avoiding or random walk with a confining wall.
authors.affiliation: INFM-Dipartimento di Fisica, Università di Padova, I-35131 Padova, Italy. baiesi@pd.infn.it
authors.forename: M
authors.initials: M
authors.lastname: Baiesi
authors.forename: E
authors.initials: E
authors.lastname: Orlandini
authors.forename: A L
authors.initials: AL
authors.lastname: Stella