Published January 2007
| Version v1
Journal article
Dimensions of fractals in the large
- 1. Department of Pure Mathematics, University of Waterloo, Waterloo, Ont., N2L 3G1 (Canada)
- 2. Department of Mathematics and Statistics, Dalhousie University, Halifax, N.S., B3H 3J5 (Canada)
- 3. Institute for Naturvetenskap, Hogskolan I Skovde, Box 408, S-541 28, Skovde (Sweden)
Description
Fractals in the large can be generated as the invariant set of an expansive, iterated function system. A number of dimensions have been introduced and studied for such fractals. In this note we show that these dimensions coincide for large fractals generated by functions with arithmetic expansion factors, and that this common dimension is equal to the dimension of the (small) fractal generated by the inverse functions
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2005.09.045;
- PII
- S0960-0779(05)00907-0;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 31
- Journal Issue
- 1
- Journal Page Range
- p. 5-13
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38014755
- Subject category
- S99: GENERAL AND MISCELLANEOUS;
- Descriptors DEI
- DIMENSIONS; FRACTALS; FUNCTIONS; MATHEMATICAL LOGIC
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.