Youming Zhou

activity

20142020

most citedOn the optimal Voronoi partitions for Ahlfors-David measures with respect to the geometric mean error

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2020★ 1 cited

On the optimal Voronoi partitions for Ahlfors-David measures with respect to the geometric mean error

Sanguo Zhu, Youming Zhou

Let $μ$ be an Ahlfors-David probability measure on $R^{q}$ with support $K$ . For every $n \geq 1$ , let $C_{n} (μ)$ denote the collection of all the $n$ -optimal sets for $μ$ with…

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.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=…

On the optimal Voronoi partitions for Ahlfors-David measures with respect to the geometric mean error

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

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

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