A note on the quantization error for in-homogeneous self-similar measures
Metric Geometry
2016-09-01 v1
Abstract
We further study the asymptotics of quantization errors for two classes of in-homogeneous self-similar measures . We give a new sufficient condition for the upper quantization coefficient for to be finite. This, together with our previous work, leads to a necessary and sufficient condition for the upper and lower quantization coefficient of to be both positive and finite. Furthermore, we determine (estimate) the convergence order of the quantization error in case that the quantization coefficient is infinite.
Keywords
Cite
@article{arxiv.1608.08732,
title = {A note on the quantization error for in-homogeneous self-similar measures},
author = {Sanguo Zhu},
journal= {arXiv preprint arXiv:1608.08732},
year = {2016}
}