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A construction of singular overlapping asymmetric self-similar measures |
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| Authors: | J. Neunhäuserer J. Neunhäuserer J. Neunhäuserer |
| Affiliation: | (1) Reitstallweg 9, 38640 Goslar, Germany, Please ask the editor of the journal.;(2) Reitstallweg 9, 38640 Goslar, Germany, Please ask the editor of the journal.;(3) Reitstallweg 9, 38640 Goslar, Germany, Please ask the editor of the journal. |
| Abstract: | Summary In [8] we found a class of overlapping asymmetric self-similar measures on the real line, which are generically absolutely continuous with respect to the Lebesgue measure. Here we construct exceptional measures in this class being singular. |
| Keywords: | singularity absolute continuity self-similar measures |
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