Quantization Dimension Function and Ergodic Measure with Bounded Distortion
Volume 57 / 2009
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.
