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Hausdorff measure and dimension of some fractals in RN

โœ Scribed by Shang Pengjian; Arnold Zaks


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
89 KB
Volume
45
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Hausdorff dimension and measure of basin
โœ Karen M Brucks ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 976 KB

To begin, we consider the following example. Fix a value e E (0, l/2). Let g be the piecewise linear map shown in Fig. 1, where A is chosen so that l/2 is a super stable periodic point of period 3,1> l/2, and g(n) < l/2 (it is known [2, 3, 25, 261 that, given an e, such a II exists). Thus, under it

Pores and Hausdorff dimension in fractal
โœ E.P. Stoll; M. Kolb ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 259 KB

Site-percolation systems have been generated to simulate fractal structures. In d = 2, after removal of all finite clusters, the voids between the percolating clusters are considered to represent pores of various areas. We show that the pore size can be expressed in terms of the Hausdorff dimension