School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
5-2020
Abstract
The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of finite number of contractive infinitesimal similitudes in a complete metric space. This generalizes the known results on quantization dimension of self-similar measures in the Euclidean space to a complete metric space. In the last part, continuity of quantization dimension is discussed.
Recommended Citation
Roychowdhury, Mrinal K., and S. Verma. 2020. “A Study on Quantization Dimension in Complete Metric Spaces.” ArXiv:2005.07840 [Math], May. http://arxiv.org/abs/2005.07840.