Quantization dimension function and ergodic measure with bounded distortion

• Autorzy: Roychowdhury M. K.
• Języki publikacji: EN

Abstrakty

EN

The quantization dimension function for the image measure of a shift-invariant ergodic measure with bounded distortion on a self-conformal set is determined, and its relationship to the temperature function of the thermodynamic formalism arising in multifractal analysis is established.

Słowa kluczowe

EN

ergodic measure with bounded distortion; conformal iterated function system; quantization dimension; temperature function

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 3-4
• Strony: 251--262
• Opis fizyczny: Bibliogr. 10 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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• [R] M. K. Roychowdhury, Quantization dimension function and Gibbs measure, preprint.