Weaker quantization dimension results for self-similar measures
Dynamical Systems
2026-01-30 v2 Probability
Abstract
In this paper, we investigate the quantization dimension of self-similar measures, particularly when the IFS does not satisfy the separation condition, but the sub-IFS at some level satisfies the separation condition. Further, we study the approximation of the space of Borel probability measures with respect to the geometric mean error, i.e., the quantization dimension of order zero.
Cite
@article{arxiv.2601.20531,
title = {Weaker quantization dimension results for self-similar measures},
author = {Saurabh Verma and Shivam Dubey},
journal= {arXiv preprint arXiv:2601.20531},
year = {2026}
}