Quantization dimension and temperature function for recurrent self-similar measures |
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| Authors: | Mrinal Kanti Roychowdhury |
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| Affiliation: | Department of Mathematics, The University of Texas-Pan American, 1201 West University Drive, Edinburg, TX 78539-2999, USA |
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| 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. |
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