title: Numerical analysis for a discontinuous rotation of the torus.
abstract: In this paper, we study a class of piecewise rotations on the square. While few theoretical results are known about them, we numerically compute box-counting dimensions, correlation dimensions and complexity of the symbolic language produced by the system. Our results seem to confirm a conjecture that the fractal dimension of the exceptional set is two, as well as indicate that the dynamics on it is not ergodic. We also explore a relationship between the piecewise rotations and discretized rotations on lattices Z(2n).
authors.affiliation: Department of Mathematics, University of Groningen, Groningen, The Netherlands. bruin@math.rug.nl
authors.forename: H
authors.initials: H
authors.lastname: Bruin
authors.forename: A
authors.initials: A
authors.lastname: Lambert
authors.forename: G
authors.initials: G
authors.lastname: Poggiaspalla
authors.forename: S
authors.initials: S
authors.lastname: Vaienti