Quantization coefficients for uniform distributions on the boundaries of regular polygons
Dynamical Systems
2021-02-22 v4 Metric Geometry
Abstract
In this paper, we give a general formula to determine the quantization coefficients for uniform distributions defined on the boundaries of different regular -sided polygons inscribed in a circle. The result shows that the quantization coefficient for the uniform distribution on the boundary of a regular -sided polygon inscribed in a circle is an increasing function of , and approaches to the quantization coefficient for the uniform distribution on the circle as tends to infinity.
Keywords
Cite
@article{arxiv.2008.02681,
title = {Quantization coefficients for uniform distributions on the boundaries of regular polygons},
author = {Joel Hansen and Itzamar Marquez and Mrinal K. Roychowdhury and Eduardo Torres},
journal= {arXiv preprint arXiv:2008.02681},
year = {2021}
}