Quantization Dimension Function and Ergodic Measure with Bounded Distortion

• Autorzy: Mrinal Kanti Roychowdhury
• 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.

Kategorie tematyczne

• 37A50: Relations with probability theory and stochastic processes
• 94A34: Rate-distortion theory
• 28A80: Fractals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 3
• Strony: 251-262

Daty

wydano

2009

Twórcy

autor

Mrinal Kanti Roychowdhury

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

Identyfikatory

DOI

10.4064/ba57-3-7