Quantization Dimension Function and Ergodic Measure with Bounded Distortion

Volume 57 / 2009

Mrinal Kanti Roychowdhury Bulletin Polish Acad. Sci. Math. 57 (2009), 251-262 MSC: Primary 37A50; Secondary 28A80, 94A34. DOI: 10.4064/ba57-3-7

Abstract

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.

Authors

  • Mrinal Kanti RoychowdhuryDepartment of Mathematics
    The University of Texas-Pan American
    1201 West University Drive
    Edinburg, TX 78539-2999, U.S.A.
    e-mail

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