Sanguo Zhu

collaborators

3 papers

math.FA2019

On the asymptotic quantization error for the doubling measures on Moran sets

Sanguo Zhu

We study the quantization errors for the doubling probability measures $μ$ which are supported on a class of Moran sets $E \subset R^{q}$ . For each $n \geq 1$ , let $α_{n}$ be an…

math.MG2019

Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets

Sanguo Zhu, Shu Zou

Let $E$ be a Bedford-McMullen carpet associated with a set of affine mappings ${f_{ij}}_{(i, j) \in G}$ and let $μ$ be the self-affine measure associated with $\{f_{ij}\}_{(i,j)\in…

math.FA2018

Asymptotic uniformity of the quantization error for Moran measures on $R^{1}$

Sanguo Zhu

Let $E$ be a Moran set on $R^{1}$ associated with a closed interval $J$ and two sequences $(n_{k})_{k = 1}^{\infty}$ and $(C_{k} = (c_{k, j})_{j = 1}^{n_{k}})_{k \geq 1}$ . Let $μ$ …

On the asymptotic quantization error for the doubling measures on Moran sets

Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets

Asymptotic uniformity of the quantization error for Moran measures on R1

Asymptotic uniformity of the quantization error for Moran measures on $R^{1}$