The relative growth rate for partial quotients

Abstract

We look at the rate of growth of the partial quotients of the infinite continued fraction expansion of an irrational number relative to the rate of approximation of the number by its convergents. In non-generic cases the Hausdorff dimension of some exceptional sets is computed.

4 pages

References in corpus (2)

• Ubiquity and a general logarithm law for geodesics
• Geodesic cusp excursions and metric diophantine approximation