Geodesic
Quantization Dimension Function and Ergodic Measure with Bounded Distortion
Mrinal Kanti Roychowdhury1
1 Department of Mathematics The University of Texas-Pan American 1201 West University Drive Edinburg, TX 78539-2999, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 251-262

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba57-3-7
Keywords: quantization dimension function image measure shift invariant ergodic measure bounded distortion self conformal set determined its relationship temperature function thermodynamic formalism arising multifractal analysis established

Mrinal Kanti Roychowdhury 1

1 Department of Mathematics The University of Texas-Pan American 1201 West University Drive Edinburg, TX 78539-2999, U.S.A. 
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Mrinal Kanti Roychowdhury. Quantization Dimension Function and Ergodic Measure
 with Bounded Distortion. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 251-262. doi: 10.4064/ba57-3-7

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