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Combinatorial properties of the Hausdorff dimension

✍ Scribed by Ludwig Staiger

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 340 KB
Volume: 23
Category: Article
ISSN: 0378-3758
DOI: 10.1016/0378-3758(89)90042-6

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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