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Perimeter-area relation and measurement of Hausdorff dimensionality

✍ Scribed by Xiaowei Wang; Lianke Dong; C.W. Lung

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
550 KB
Volume
3
Category
Article
ISSN
0960-0779

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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