Abstract
We extend a theorem of Falconer to give a complete result on the dimension and Lebesgue measure of typical self-similar attractors on the line. Further, we present some examples to point out that in higher dimensions, one cannot expect the same result in this generality.
Original language | English |
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Pages (from-to) | 59-65 |
Number of pages | 7 |
Journal | Fractals |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - 2002 |
Externally published | Yes |
Bibliographical note
Funding Information:Research of Simon was supported in part by the OTKA foundation grant T032022. Research of Solomyak was supported in part by NSF grant #DMS 9800786.
Funding
Research of Simon was supported in part by the OTKA foundation grant T032022. Research of Solomyak was supported in part by NSF grant #DMS 9800786.
Funders | Funder number |
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OTKA Foundation | T032022 |
National Science Foundation | 9800786 |