title: Anomalous diffusion and dynamical localization in polygonal billiards.
abstract: We study numerically classical and quantum dynamics of a piecewise parabolic area preserving map on a cylinder which emerges from the bounce map of elongated triangular billiards. The classical map exhibits anomalous diffusion. Quantization of the same map results in a system with dynamical localization and pure point spectrum.
authors.affiliation: Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1111 Ljubljana, Slovenia.
authors.forename: T
authors.initials: T
authors.lastname: Prosen
authors.forename: M
authors.initials: M
authors.lastname: Znidaric