A NOTE ON BADLY APPROXIMABLE LINEAR FORMS Academic Article uri icon

abstract

  • AbstractIn this paper we investigate the analogue of the classical badly approximable setup in which the distance to the nearest integer ‖⋅‖ is replaced by the sup norm |⋅|. In the case of one linear form we prove that the hybrid badly approximable set is of full Hausdorff dimension.

publication date

  • April 2011