1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2020★ 1 cited
Quantitative distortion and the Hausdorff dimension of continued fractions
Daniel Ingebretson
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 Hausdo…
math.DS2019
Scaling functions for graph directed Markov systems
Daniel Ingebretson
We introduce the scaling function associated to a graph directed Markov system, and show that it is a Hölder continuous function of the dual symbolic Cantor set. With some natural…
math.DS2018
Dimension rigidity for cookie-cutter Cantor sets
Daniel Ingebretson
We show that two cookie-cutter Cantor sets with the same symbolic coding are differentiably equivalent if and only if their Hausdorff dimensions are equal.