The Hausdorff dimensions of some continued fraction cantor sets Academic Article uri icon

abstract

  • We give a new method for finding the Hausdorff dimension of the sets En consisting of the real numbers which have all their continued fraction partial quotients ≤n. In particular, we show that dim E2 ∈ (.53128049, .53128051). © 1989.

author list (cited authors)

  • Hensley, D.

citation count

  • 35

publication date

  • October 1989