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Mixed quantization dimensions of self-similar measures

✍ Scribed by Meifeng Dai; Xiaoli Wang; Dandan Chen

Book ID: 113529777
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 293 KB
Volume: 45
Category: Article
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2011.11.002

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Let K and µ be the self-similar set and the self-similar measure associated with an iterated function system with probabilities (Si, pi)i=1,...,N satisfying the Open Set Condition. Let Σ = {1, . . . , N} N denote the full shift space and let π : Σ → K denote the natural projection. The (symbolic) lo