28 citations · 59 across the 20 of their papers we have counts for
4 papers · 1 filter
Higher dimensional Frobenius problem: Maximal saturated cone, growth function and rigidity
Ai-hua Fan, Hui Rao, Yuan Zhang
We consider integral vectors located in a half-space of () and study the structure of the additive semi-group $X_1 \…
Higher dimensional Frobenius problem and Lipschitz equivalence of Cantor sets
Hui Rao, Yuan Zhang
The higher dimensional Frobenius problem was introduced by a preceding paper [Fan, Rao and Zhang, Higher dimensional Frobenius problem: maximal saturated cones, growth function and…
Affine embeddings and intersections of Cantor sets
De-Jun Feng, Wen Huang, Hui Rao
Let be two self-similar sets. Under mild conditions, we show that can be -embedded into if and only if it can be affinely embedded into ; further…
Self-similar subsets of the Cantor set
De-Jun Feng, Hui Rao, Yang Wang
In this paper, we study the following question raised by Mattila in 1998: what are the self-similar subsets of the middle-third Cantor set $\C$? We give criteria for a complete cla…