8 citations · 19 across the 12 of their papers we have counts for
5 papers · 1 filter
Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets
Sanguo Zhu, Shu Zou
Let be a Bedford-McMullen carpet associated with a set of affine mappings and let be the self-affine measure associated with $\{f_{ij}\}_{(i,j)\in…
Asymptotic local uniformity of the quantization error for Ahlfors-David probability measures
Sanguo Zhu
Let be an Ahlfors-David probability measure on , namely, there exist some constants and such that \[ C_1ε^{s_0}\leqμ(B(x,ε))\leq C_2ε^{s_0…
Exact convergence order of the -quantization error for Markov-type measures
Sanguo Zhu, Youming Zhou, Yongjian Sheng
Let be a graph-directed set associated with a di-graph . Let be a Markov-type measure on . Assuming a separation condition for , we determine the exact convergence…
Asymptotic order of the quantization errors for self-affine measures on Bedford-McMullen carpets
Sanguo Zhu
Let be a Bedford-McMullen carpet determined by a set of affine mappings and a self-affine measure on associated with a probability vector $(p_{i…
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 on a class of fractal sets. Assuming the irreducibility of the corresponding…