Quantization for uniform distributions on stretched Sierpi\'nski triangles
Dynamical Systems
2019-06-17 v4
Abstract
In this paper, we have considered a uniform probability distribution supported by a stretched Sierpi\'nski triangle. For this probability measure, the optimal sets of -means and the th quantization errors are determined for all . In addition, it is shown that the quantization coefficient for such a measure does not exist though the quantization dimension exists.
Keywords
Cite
@article{arxiv.1605.09701,
title = {Quantization for uniform distributions on stretched Sierpi\'nski triangles},
author = {Dogan Comez and Mrinal Kanti Roychowdhury},
journal= {arXiv preprint arXiv:1605.09701},
year = {2019}
}