Quantization Dimension Function and Ergodic Measure with Bounded Distortion
Mrinal Kanti Roychowdhury
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009), p. 251-262 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281129 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-7,
     author = {Mrinal Kanti Roychowdhury},
     title = {Quantization Dimension Function and Ergodic Measure with Bounded Distortion},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {57},
     year = {2009},
     pages = {251-262},
     zbl = {1187.37015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-7}
}

Mrinal Kanti Roychowdhury. Quantization Dimension Function and Ergodic Measure with Bounded Distortion. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 251-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-7/