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arXiv · 1605.09701

Quantization for uniform distributions on stretched Sierpiński triangles

Dogan Comez·Mrinal Kanti Roychowdhury
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Abstract

In this paper, we have considered a uniform probability distribution supported by a stretched Sierpiński triangle. For this probability measure, the optimal sets of $n$-means and the $n$th quantization errors are determined for all $n\geq 2$. In addition, it is shown that the quantization coefficient for such a measure does not exist though the quantization dimension exists.

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Dogan Comez, Mrinal Kanti Roychowdhury. 2019-06-13. Quantization for uniform distributions on stretched Sierpiński triangles. https://arxiv.org/abs/1605.09701

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