2 papers
math.CA2025
Distances in sparse sets of large Hausdorff dimension
Malabika Pramanik, K S Senthil Raani
The distance set of a set consists of all non-negative numbers that represent distances between pairs of points in . This paper studies sparse (less than full-dimens…
math.CA2025
Distances in sets of positive Korányi upper density in Heisenberg Group
K S Senthil Raani, Rajesh K. Singh
We prove that any measurable set in the Heisenberg group, , of positive upper density has the property that all sufficiently large real numbers are realised as the Ko…