28 citations · 59 across the 20 of their papers we have counts for
9 papers · 1 filter
Ergodicity for -adic continued fraction algorithms
Hui Rao, Shin-ichi Yasutomi
Following Schweiger's generalization of multidimensional continued fraction algorithms, we consider a very large family of -adic multidimensional continued fraction algorithms,…
Characterization of complementing pairs of
Hui Rao, Ya-min Yang, Yuan Zhang
Let be subsets of an abelian group . A pair is called a -pair if and is the direct sum of and . The -pairs are ch…
Invariance of multifractal spectrum of uniform self-affine measures and its applications
Hui Rao, Ya-min Yang, Yuan Zhang
We study the bi-Lipschitz classification of Bedford-McMullen carpets which are totally disconnected. Let be a such carpet and let be the uniform Bernoulli measure on .…
Space-filling curves of self-similar sets (III): Skeletons
Hui Rao, Shu-Qin Zhang
Skeleton is a new notion designed for constructing space-filling curves of self-similar sets. It is shown in [Dai, Rao and Zhang, Space-filling curves of self-similar sets (II): Ed…
Lipschitz invariance of walk dimension on connected self-similar sets
Hui Rao, Qingsong Gu
Walk dimension is an important conception in analysis of fractals. In this paper we prove that the walk dimension of a connected compact set possessing an Alfors regular measure is…
Lipschitz equivalence of fractals and finite state automaton
Hui Rao, Yunjie Zhu
The study of Lipschitz equivalence of fractals is a very active topic in recent years. Most of the studies in literature concern totally disconnected fractals. In this paper, using…
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…