title: Spectral properties and anomalous transport in a polygonal billiard.
abstract: We analyze a class of polygonal billiards, whose behavior is conjectured to exhibit a variety of interesting dynamical features. Correlation functions are numerically investigated, and in a subclass of billiard tables they give indications about a singular continuous spectral measure. By lifting billiard dynamics we are also able to study transport properties: the (normal or anomalous) diffusive behavior is theoretically connected to a scaling index of the spectral measure; the proposed identity is shown to agree with numerical simulations. (c) 2000 American Institute of Physics.
authors.affiliation: Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Universita dell'Insubria-Polo di Como, Via Lucini 3, I-22100 Como, ItalyIstituto Nazionale di Fisica della Materia, Unita di Milano and I.N.F.N.
authors.forename: Roberto
authors.initials: R
authors.lastname: Artuso
authors.forename: Italo
authors.initials: I
authors.lastname: Guarneri
authors.forename: Laura
authors.initials: L
authors.lastname: Rebuzzini