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http://hdl.handle.net/10077/4623| Title: | Self-similar sets and measures | Authors: | Graf, Siegfried | Issue Date: | 1994 | Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche | Source: | Siegfried Graf, "Self-similar sets and measures", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 26 (1994) suppl., pp. 35-48. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 26 (1994) suppl. |
Abstract: | A major theme in the theory of fractals is that of self—similarity: the whole fractal set is composed of smaller parts which are geometrically similar to whole set. There are several ways to formulate this concept in a mathematically rigorous way. Неге I will deal with Hutchinson’s definition of self-similarity. It is the purpose of this lecture to collect some of the basic results concerning the Hausdorff dimension, Hausdorff measure and local structure of self-similar sets and measures. I am not striving for completeness but rather use my own research interests as a guide to the results and problems in the area. Most of the proofs are omitted. Interested roaders are refered to the literature. | URI: | http://hdl.handle.net/10077/4623 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.26 (1994) s. |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| GrafRendMat26s.pdf | 201.15 kB | Adobe PDF | View/Open |
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