17 citations · 90 across the 22 of their papers we have counts for
4 papers · 1 filter
Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets
Steen Pedersen, Jason D. Phillips
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.
On Intersections of Cantor Sets: Self-Similarity
Steen Pedersen, Jason D. Phillips
Let C be a Cantor set. For a real number t let C+t be the translate of C by t, We say two real numbers s,t are equivalent if the intersection of C and C+s is a translate of the int…
On Intersections of Cantor Sets: Hausdorff Measure
Steen Pedersen, Jason D. Phillips
We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff di…
Intersections of certain deleted digits sets
Steen Pedersen, Jason Phillips
We consider some properties of the intersection of deleted digits Cantor sets with their translates. We investigate conditions on the set of digits such that, for any t between zer…