Quantization dimension and temperature function for recurrent self-similar measures

Mrinal Kanti Roychowdhury

Chaos, Solitons & Fractals, 2011, vol. 44, issue 11, 947-953

Abstract: We determine the quantization dimension function for the image measure supported on a recurrent self-similar set of an ergodic Markov measure, and its relationship with the temperature function of the thermodynamic formalism arising in multifractal analysis is established.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:11:p:947-953

DOI: 10.1016/j.chaos.2011.07.018

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