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 2016Show all

2 papers · 1 filter

math.MG2016★ 1 cited

Exact convergence order of the $L_{r}$ -quantization error for Markov-type measures

Sanguo Zhu, Youming Zhou, Yongjian Sheng

Let $E$ be a graph-directed set associated with a di-graph $G$ . Let $μ$ be a Markov-type measure on $E$ . Assuming a separation condition for $E$ , we determine the exact convergence…

math.MG2016★ 8 cited

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

Sanguo Zhu

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

Exact convergence order of the Lr​-quantization error for Markov-type measures

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

Exact convergence order of the $L_{r}$ -quantization error for Markov-type measures