Quantization Dimension Function and Ergodic Measure with Bounded Distortion

Mrinal Kanti Roychowdhury

Bulletin of the Polish Academy of Sciences. Mathematics (2009)

  • Volume: 57, Issue: 3, page 251-262
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Mrinal Kanti Roychowdhury. "Quantization Dimension Function and Ergodic Measure with Bounded Distortion." Bulletin of the Polish Academy of Sciences. Mathematics 57.3 (2009): 251-262. <http://eudml.org/doc/281129>.

@article{MrinalKantiRoychowdhury2009,
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.},
author = {Mrinal Kanti Roychowdhury},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {ergodic measure with bounded distortion; conformal iterated function system; quantization dimension; temperature function},
language = {eng},
number = {3},
pages = {251-262},
title = {Quantization Dimension Function and Ergodic Measure with Bounded Distortion},
url = {http://eudml.org/doc/281129},
volume = {57},
year = {2009},
}

TY - JOUR
AU - Mrinal Kanti Roychowdhury
TI - Quantization Dimension Function and Ergodic Measure with Bounded Distortion
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 3
SP - 251
EP - 262
AB - 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.
LA - eng
KW - ergodic measure with bounded distortion; conformal iterated function system; quantization dimension; temperature function
UR - http://eudml.org/doc/281129
ER -

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