Showing math.CAShow all
2 papers · 1 filter
math.CA2016
Arithmetic properties of sparse subsets of
Paul Potgieter
Arithmetic progressions of length may be found in compact subsets of the reals that satisfy certain Fourier -- as well as Hausdorff -- dimensional requirements. It has been sho…
math.CA2013
Nonstandard Hausdorff dimension in and an application to the Kakeya conjecture in
Paul Potgieter
Through the use of a nonstandard version of Frostman's lemma, the notion of Hausdorff dimension is formulated in nonstandard euclidean space of arbitrary dimension. This allows for…