Repository logo
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
Repository logo
Repository logo
  • Archive
  • Series/Journals
  • EUT
  • Events
  • Statistics
  • English
  • Italiano
  • Log In
    Have you forgotten your password?
  1. Home
  2. EUT Edizioni Università di Trieste
  3. Periodici
  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.26 (1994) s.
  6. Self-similar sets and measures
 
  • Details
  • Metrics
Options

Self-similar sets and measures

Graf, Siegfried
1994
Loading...
Thumbnail Image
ISSN
0049-4704
http://hdl.handle.net/10077/4623
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
26 (1994) suppl.
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.
Languages
en
File(s)
Loading...
Thumbnail Image
Download
Name

GrafRendMat26s.pdf

Format

Adobe PDF

Size

201.15 KB

Indexed by

 Info

Open Access Policy

Share/Save

 Contacts

EUT Edizioni Università di Trieste

OpenstarTs

 Link

Wiki OpenAcces

Archivio Ricerca ArTS

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science

  • Cookie settings
  • Privacy policy
  • End User Agreement
  • Send Feedback