The Hausdorff and box dimension of fractals with disjoint projections in two dimensions
Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 117-123
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In this paper, we obtain an exact formula for the Hausdorff and box dimensions of a class of self-affine sets in two dimensions, namely those with disjoint projections. We prove, in particular, that fractals in this class have a Hausdorff and box dimension that is equal to the maximum Hausdorff and box dimension of one of their projections.
Kazim, Zainab. The Hausdorff and box dimension of fractals with disjoint projections in two dimensions. Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 117-123. doi: 10.1017/S0017089502010078
@article{10_1017_S0017089502010078,
author = {Kazim, Zainab},
title = {The {Hausdorff} and box dimension of fractals with disjoint projections in two dimensions},
journal = {Glasgow mathematical journal},
pages = {117--123},
year = {2002},
volume = {44},
number = {1},
doi = {10.1017/S0017089502010078},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502010078/}
}
TY - JOUR AU - Kazim, Zainab TI - The Hausdorff and box dimension of fractals with disjoint projections in two dimensions JO - Glasgow mathematical journal PY - 2002 SP - 117 EP - 123 VL - 44 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502010078/ DO - 10.1017/S0017089502010078 ID - 10_1017_S0017089502010078 ER -
%0 Journal Article %A Kazim, Zainab %T The Hausdorff and box dimension of fractals with disjoint projections in two dimensions %J Glasgow mathematical journal %D 2002 %P 117-123 %V 44 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089502010078/ %R 10.1017/S0017089502010078 %F 10_1017_S0017089502010078
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