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math.CA2018
The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra
Jonathan M. Fraser, Kathryn E. Hare, Kevin G. Hare +2
We consider the Assouad spectrum, introduced by Fraser and Yu, along with a natural variant that we call the `upper Assouad spectrum'. These spectra are designed to interpolate bet…
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…