Sanguo Zhu

activity

20142025

most citedAsymptotic order of the quantization errors for self-affine measures on Bedford-McMullen carpets

8 citations · 19 across the 12 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

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★ 1 cited

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…