SELF-SIMILAR SETS .7. A CHARACTERIZATION OF SELF-SIMILAR FRACTALS WITH POSITIVE HAUSDORFF MEASURE

Authors
BANDT C GRAF S
Citation
C. Bandt et S. Graf, SELF-SIMILAR SETS .7. A CHARACTERIZATION OF SELF-SIMILAR FRACTALS WITH POSITIVE HAUSDORFF MEASURE, Proceedings of the American Mathematical Society, 114(4), 1992, pp. 995-1001
Citations number
7
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
114
Issue
4
Year of publication
1992
Pages
995 - 1001
Database
ISI
SICI code
0002-9939(1992)114:4<995:SS.ACO>2.0.ZU;2-D
Abstract
For self-similar sets with nonoverlapping pieces, Hausdorff dimension and measure are easily determined. We express "absence of overlap" in terms of discontinuous action of a family of similitudes, thus improvi ng the usual "open set condition".