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.

published proceedings

  • Journal of Number Theory

author list (cited authors)

  • Hensley, D.

citation count

  • 38

complete list of authors

  • Hensley, Doug

publication date

  • October 1989