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EXISTENCE AND BOX DIMENSION OF GENERAL RECURRENT FRACTAL INTERPOLATION FUNCTIONS.
- Source :
-
Bulletin of the Australian Mathematical Society . Apr2021, Vol. 103 Issue 2, p278-290. 13p. - Publication Year :
- 2021
-
Abstract
- The notion of recurrent fractal interpolation functions (RFIFs) was introduced by Barnsley et al. ['Recurrent iterated function systems', Constr. Approx.5 (1989), 362–378]. Roughly speaking, the graph of an RFIF is the invariant set of a recurrent iterated function system on $\mathbb {R}^2$. We generalise the definition of RFIFs so that iterated functions in the recurrent system need not be contractive with respect to the first variable. We obtain the box dimensions of all self-affine RFIFs in this general setting. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTERPOLATION
*INVARIANT sets
*FRACTAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 103
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 149219773
- Full Text :
- https://doi.org/10.1017/S0004972720001045