1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.MG2019★ 1 cited
Regularity dimensions: quantifying doubling and uniform perfectness
Douglas C. Howroyd
We study the upper and lower regularity dimensions in relation to the notions of doubling and uniformly perfect. These two regularity properties are closely related which is quanti…
math.MG2018
On the Hausdorff dimension of microsets
Jonathan M. Fraser, Douglas C. Howroyd, Antti Käenmäki +1
We investigate how the Hausdorff dimensions of microsets are related to the dimensions of the original set. It is known that the maximal dimension of a microset is the Assouad dime…
math.MG2018
Dimension growth for iterated sumsets
Jonathan M. Fraser, Douglas C. Howroyd, Han Yu
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee that a set satisfies $\overline{\dim}_\text{B} F+F > \ov…