Journal
ACTA SCIENTIARUM MATHEMATICARUM
Volume 86, Issue 3-4, Pages 635-666Publisher
UNIV SZEGED, BOLYAI INSTITUTE
DOI: 10.14232/actasm-020-801-8
Keywords
relative multifractal analysis; multifractal formalism; multifractal Hausdorff measure; multifractal packing measure; Hausdorff dimension; packing dimension; Moran measures
Categories
Funding
- Analysis, Probability & Fractals Laboratory [LR18ES17]
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In the present paper, we suggest new proofs of many known results about the relative multifractal formalism. We provide results even at points q for which the relative multifractal Hausdorff and packing functions differ. We also give some examples of two measures where the multifractal functions are different and the Hausdorff dimension of the level sets of the v-local Holder exponent is given by the Legendre transform of the multifractal Hausdorff function and their packing dimension by the Legendre transform of the multifractal packing function.
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