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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4 papers · 1 filter

math.FA2024★ 1 cited

Asymptotic order of the quantization error for a class of self-similar measures with overlaps

Sanguo Zhu

Let ${f_{i}}_{i = 1}^{N}$ be a set of equi-contractive similitudes on $R^{1}$ satisfying the finite-type condition. We study the asymptotic quantization error for self-similar m…

math.FA2022★ 1 cited

Asymptotics of the quantization errors for some Markov-type measures with complete overlaps

Sanguo Zhu

Let $G$ be a directed graph with vertices $1, 2, \dots, 2 N$ . Let $T = (T_{i, j})_{(i, j) \in G}$ be a family of contractive similitudes. For every $1\leq i\l…

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.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 $μ$ …

Asymptotic order of the quantization error for a class of self-similar measures with overlaps

Asymptotics of the quantization errors for some Markov-type measures with complete overlaps

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

Asymptotic uniformity of the quantization error for Moran measures on R1

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