Daniel Ingebretson
Published 2020-02-24Version 1
We prove a quantitative distortion theorem for iterated function systems that generate sets of continued fractions. As a consequence, we obtain upper and lower bounds on the Hausdorff dimension of any set of real or complex continued fractions. These bounds are solutions to Moran-type equations in the convergents that can be easily implemented in a computer algebra system.
Hausdorff dimension of univoque sets and Devil's staircase
Using Iterated Function Systems to Reveal Biases in the Distribution of Prime Numbers
Hausdorff dimension of Gauss--Cantor sets and two applications to classical Lagrange and Markov spectra
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