1 citations · 1 across the 6 of their papers we have counts for
6 papers
The Hausdorff and packing measure of some digital expansions
Daniel Ingebretson
We compute the exact Hausdorff and packing measure of sets of real numbers whose digital expansions in a given base are missing the digits beyond a given threshold.
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…
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…
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.
Hausdorff dimension of Kuperberg minimal sets
Daniel Ingebretson
In 1994, Kuperberg constructed a smooth flow on a three-manifold with no periodic orbits. It was later shown that a generic Kuperberg flow preserves a codimension one laminar minim…
Decompositions of Monomial Ideals in Real Semigroup Rings
Daniel Ingebretson, Sean Sather-Wagstaff
Irreducible decompositions of monomial ideals in polynomial rings over a field are well-understood. In this paper, we investigate decompositions in the set of monomial ideals in th…