28 citations · 59 across the 20 of their papers we have counts for
5 papers · 1 filter
A dimension drop phenomenon of fractal cubes
Liangyi Huang, Hui Rao
Let E be a metric space. We introduce a notion of connectedness index of E, which is the Hausdor? dimension of the union of non-trivial connected components of E. We show that the…
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 .…
Dissecting a square into congruent polygons
Hui Rao, Lei Ren, Yang Wang
We study the dissection of a square into congruent convex polygons. Yuan \emph{et al.} [Dissecting the square into five congruent parts, Discrete Math. \textbf{339} (2016) 288-298]…