Dimensions associated with recurrent self-similar sets-Reference-Cited by-同舟云学术

Dimensions associated with recurrent self-similar sets

Published:1991-09 Issue:2 Volume:110 Page:327-336
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Deliu Anca,Geronimo J. S.,Shonkwiler R.,Hardin D.

Abstract

AbstractThe Hausdorff and box dimensions for measures associated with recurrent self-similar sets generated by similitudes is explicitly given. The box dimension of the attractor associated with a class of two-dimensional affine maps is also computed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Two definitions of fractional dimension

2. The calculus of fractal interpolation functions

3. [9] Cawley R. and Mauldin R. D. . Multifractal decompositions of Moran fractals. Preprint.

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