3 papers
math.MG2019
Approximate arithmetic structure in large sets of integers
Jonathan M. Fraser, Han Yu
We prove that if a set is `large' in the sense of Erdős, then it approximates arbitrarily long arithmetic progressions in a strong quantitative sense. More specifically, expressing…
math.CA2017
Cube packings in Euclidean spaces
Han Yu
In this paper we study some cube packing problems. In particular we are interested in compact subsets of , which contain boundaries of cubes with all side len…
math.CA2017
Cubes, side lengths and centres
Han Yu
It is known that in , a compact set which contains spheres with all radii in or with all possible centres in has full Hausdorff dime…