Hausdorff measure and dimension of some fractals in RN
โ Scribed by Shang Pengjian; Arnold Zaks
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 89 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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