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- W105611759 abstract "For a self-affine measure on a Bedford–McMullen carpet we prove that its quantization dimension of order $$r>0$$ exists and determine its exact value. Further, we give various sufficient conditions for the corresponding upper and lower quantization coefficient to be both positive and finite. Finally, we compare the quantization dimension with corresponding quantities derived from the multifractal free energy function and show that—different from conformal systems—they in general do not coincide." @default.
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- W105611759 date "2015-11-25" @default.
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- W105611759 title "On the quantization for self-affine measures on Bedford–McMullen carpets" @default.
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- W105611759 doi "https://doi.org/10.1007/s00209-015-1588-3" @default.
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