Please use this identifier to cite or link to this item:
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. |
Type: | Article | 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. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| GrafRendMat26s.pdf | 201.15 kB | Adobe PDF |  View/Open |
CORE Recommender
Page view(s) 50
682
checked on Jan 31, 2023
Download(s) 50
357
checked on Jan 31, 2023
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.