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ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd
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 Title & Authors
ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝd
OLSEN, LARS;
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 Abstract
For a subset and , the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by $$dim_{H,loc}(x,E)
 Keywords
Hausdorff dimension;packing dimension;local Hausdorff dimension;local packing dimension;
 Language
English
 Cited by
 References
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2.
H. Jurgensen and L. Staiger, Local Hausdorff dimension, Acta Inform. 32 (1995), no. 5, 491-507. crossref(new window)

3.
L. Olsen, Applications of divergence points to local dimension functions of subsets of ${\mathbb{R}}^d$, Proc. Edinb. Math. Soc. 48 (2005), no. 1, 213-218. crossref(new window)

4.
T. Rushing, Hausdorff dimension of wild fractals, Trans. Amer. Math. Soc. 334 (1992), no. 2, 597-613. crossref(new window)

5.
D. Spear, Sets with different dimensions in [0, 1], Real Anal. Exchange 24 (1998/99), no. 1, 373-389.