School of Mathematical & Statistical Sciences Faculty Publications and Presentations

Optimal quantization for a probability measure on a nonuniform stretched Sierpiński triangle

Document Type

Article

Publication Date

6-2025

Abstract

Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. In this paper, we have considered a Borel probability measure P on R 2 , which has support a nonuniform stretched Sierpiński triangle generated by a set of three contractive similarity mappings on R 2 . For this probability measure, we investigate the optimal sets of n -means and the n th quantization errors for all positive integers n .

Publication Title

Discrete and Continuous Dynamical Systems - S

DOI

10.3934/dcdss.2025087

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