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Quantization dimension function and Gibbs measure associated with Moran set

Quantization dimension function and Gibbs measure associated with Moran set,10.1016/j.jmaa.2010.06.021,Journal of Mathematical Analysis and Applicatio

Quantization dimension function and Gibbs measure associated with Moran set   (Citations: 2)
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In this paper we consider the Gibbs measure on the one-sided shift dynamical system and determine the quantization dimension function for the image measure supported on a Moran set. A relationship between the quantization dimension function and the temperature function of the thermodynamic formalism arising in multifractal analysis is also established.
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