2 papers
math.CA2019
Measures with specified support and arbitrary Assouad dimensions
Kathryn E. Hare, Franklin Mendivil, Leandro Zuberman
We show that if the upper Assouad dimension of the compact set is positive, then given any there is a measure with support and upper Assou…
math.CA2015
Packing and Hausdorff measures of Cantor sets associated with series
Kathryn Hare, Franklin Mendivil, Leandro Zuberman
We study a generalization of Morán's sum sets, obtaining information about the -Hausdorff and -packing measures of these sets and certain of their subsets.