Inverse Measures, the Inversion Formula, and Discontinuous Multifractals
نویسندگان
چکیده
منابع مشابه
Inverse Measures, the Inversion Formula, and Discontinuous Multifractals
The present paper is part I of a series of three closely related papers in which the inverse measure dt of a given measure dt on is introduced In the rst case discussed in detail and are multifractal in the usual sense that is both are linearly self similar and continuous but not di erentiable and both are non zero for every interval of Under these assumptions the H older spectra of dt and dt a...
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In a previous paper MR the authors introduced the inverse measure y of a probability measure on It was argued that the respective multifractal spectra are linked by the inversion formula fy f Here the statements of MR are put in more mathematical terms and proofs are given for the inversion formula in the case of continuous measures Thereby f may stand for the Hausdor spectrum the packing spect...
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The present paper is part I of a series of three closely related papers in which the inverse measure (dt) of a given measure (dt) on 0; 1] is introduced. In the rst case discussed in detail, and are multifractal in the usual sense, that is, both are linearly self-similar and continuous but not diierentiable and both are non{zero for every interval of 0; 1]. Under these assumptions the HH older ...
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In an earlier paper MR the authors introduced the inverse measure y dt of a given measure dt on and presented the inversion formula f f which was argued to link the respective multifractal spectra of and y A second paper RM established the formula under the assumption that and y are continuous measures Here we investigate the general case which reveals telling details of interest to the full un...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1997
ISSN: 0196-8858
DOI: 10.1006/aama.1996.0500