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Computing the dimension of dynamically defined sets: ${E}_{2}$ and bounded continued fractions. (English) Zbl 0991.28009
The authors present an approach to the computation of the Hausdorff dimension of certain conformal self-similar sets. They illustrate the method by computing the Hausdorff dimension of ${E}_{2}$, a set which consists of those real numbers whose continued fraction expansions contain only the digits 1 and 2.

##### MSC:
 28A80 Fractals 28A78 Hausdorff and packing measures
##### Keywords:
Hausdorff dimension; conformal self-similar sets