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math.DS2020
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,…
math.DS2020★ 1 cited
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…
math.DS2020★ 4 cited
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 .…