Quantization Dimension Estimate of Inhomogeneous Self-Similar Measures

• Autorzy: Roychowdhury M. K.

Identyfikatory

DOI

10.4064/ba61-1-5

• Języki publikacji: EN

Abstrakty

EN

We consider an inhomogeneous measure μ with the inhomogeneous part a self-similar measure ν, and show that for a given r∈(0,∞) the lower and the upper quantization dimensions of order r of μ are bounded below by the quantization dimension Dr(ν) of ν and bounded above by a unique number κr∈(0,∞), related to the temperature function of the thermodynamic formalism that arises in the multifractal analysis of μ.

Słowa kluczowe

EN

quantization dimension; inhomogeneous self-similar measure; temperature function

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 1
• Strony: 35--45
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Roychowdhury M. K.

• Department of Mathematics The University of Texas { Pan American 1201 West University Drive Edinburg, TX 78539-2999, U.S.A.

Bibliografia

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