Sanguo Zhu

most citedConvergence order of the geometric mean errors for Markov-type measures

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

collaborators

5 papers

math.MG2016

A note on the quantization error for in-homogeneous self-similar measures

Sanguo Zhu

We further study the asymptotics of quantization errors for two classes of in-homogeneous self-similar measures $μ$ . We give a new sufficient condition for the upper quantization c…

math.MG2014★ 4 cited

Convergence order of the geometric mean errors for Markov-type measures

Sanguo Zhu

We study the quantization problem with respect to the geometric mean error for Markov-type measures $μ$ on a class of fractal sets. Assuming the irreducibility of the corresponding…

math.DS2014

Asymptotics of the geometric mean error for in-homogeneous self-similar measures

Sanguo Zhu, Youming Zhou, Yongjian Sheng

Let $(f_{i})_{i = 1}^{N}$ be a family of contractive similitudes on $R^{q}$ satisfying the open set condition. Let $(p_{i})_{i = 0}^{N}$ be a probability vector with $p_{i} > 0$ for all $i=…

math.MG2014

Asymptotic quantization errors for in-homogeneous self-similar measures supported on self-similar sets

Sanguo Zhu

We study the quantization for a class of in-homogeneous self-similar measures $μ$ supported on self-similar sets. Assuming the open set condition for the corresponding iterated fun…

math.FA2014

The quantization for in-homogeneous self-similar measures with in-homogeneous open set condition

Sanguo Zhu

Let $(g_{i})_{i = 1}^{M}$ be a family of contractive similitudes satisfying the open set condition. Let $ν$ be a self-similar measure associated with $(g_{i})_{i = 1}^{M}$ . We study the quanti…