16 citations · 47 across the 4 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2022★ 14 cited
Quantization dimensions of compactly supported probability measures via Rényi dimensions
Marc Kesseböhmer, Aljoscha Niemann, Sanguo Zhu
We provide a complete picture of the upper quantization dimension in terms of the Rényi dimension by proving that the upper quantization dimension of order f…
math.PR2015★ 16 cited
Some recent developments in quantization of fractal measures
Marc Kesseböhmer, Sanguo Zhu
We give an overview on the quantization problem for fractal measures, including some related results and methods which have been developed in the last decades. Based on the work of…
math.PR2014★ 3 cited
The quantization for Markov-type measures on a class of ratio-specified graph directed fractals
Marc Kesseböhmer, Sanguo Zhu
We study the asymptotic quantization error of order for Markov-type measures on a class of ratio-specified graph directed fractals. We show that the quantization dimension…