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20182020
most citedQuantitative distortion and the Hausdorff dimension of continued fractions

1 citations · 1 across the 2 of their papers we have counts for

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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.