17 citations · 72 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
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…
Dimensions of sets which uniformly avoid arithmetic progressions
Jonathan M. Fraser, Kota Saito, Han Yu
We provide estimates for the dimensions of sets in which uniformly avoid finite arithmetic progressions. More precisely, we say uniformly avoids arithmetic progres…
Kakeya books and projections of Kakeya sets
Han Yu
Here we show some results related with Kakeya conjecture which says that for any integer , a set containing line segments in every dimension in has full Hau…
A Fourier analytic approach to inhomogeneous Diophantine approximation
Han Yu
In this paper, we study inhomogeneous Diophantine approximation with rational numbers of reduced form. The central object to study is the set as follows, \begin{eqnarray*}…