On the upper and lower quantization coefficient for probability measures on multiscale Moran sets

Sanguo Zhu

Chaos, Solitons & Fractals, 2012, vol. 45, issue 11, 1437-1443

Abstract: Given a finite set of patterns, we consider the Moran sets determined by using each of these patterns with a prescribed frequency. For certain infinite product measures μ on such Moran sets, we determine the exact values of the quantization dimensions Dr(μ). We give various sufficient conditions for the Dr(μ)-dimensional upper quantization coefficient and the lower one to be positive and finite. We also construct an example to illustrate our main result.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:11:p:1437-1443

DOI: 10.1016/j.chaos.2012.08.003

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