| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1890969 | Chaos, Solitons & Fractals | 2007 | 9 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
M.R. Allen, G.S.H. Cruttwell, Kathryn E. Hare, J.-O. Rönning,