Ya-min Yang

most citedInvariance of multifractal spectrum of uniform self-affine measures and its applications

4 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.GN2021

Finite state automata and homeomorphism of self-similar sets

Liangyi Huang, Zhiying Wen, Yamin Yang +1

The topological and metrical equivalence of fractals is an important topic in analysis. In this paper, we use a class of finite state automata, called $Σ$ -automaton, to construct p…

math.MG2020

Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers

Ya-min Yang, Yuan Zhang

Let $M_{t, v, r} (n, m)$ , $2 \leq m < n$ , be the collection of self-affine carpets with expanding matrix $\diag(n,m)$ which are totally disconnected, possessing vacant rows and wit…

math.DS2020

Tilings of convex polyhedral cones and topological properties of self-affine tiles

Ya-min Yang, Yuan Zhang

Let $a_{1}, \dots, a_{r}$ be vectors in a half-space of $R^{n}$ . We call $C = a_{1} R^{+} + \dots + a_{r} R^{+}$ a convex polyhedral con…

math.DS2020★ 1 cited

Characterization of complementing pairs of $(Z_{\geq 0})^{n}$

Hui Rao, Ya-min Yang, Yuan Zhang

Let $A, B, C$ be subsets of an abelian group $G$ . A pair $(A, B)$ is called a $C$ -pair if $A, B \subset C$ and $C$ is the direct sum of $A$ and $B$ . The $(Z_{\geq 0})$ -pairs are ch…

math.DS2020★ 4 cited

Invariance of multifractal spectrum of uniform self-affine measures and its applications