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Hausdorff Dimension of Measures¶via Poincaré Recurrence

✍ Scribed by L. Barreira; B. Saussol


Publisher
Springer
Year
2001
Tongue
English
Weight
147 KB
Volume
219
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Hausdorff dimension and measure of basin
✍ Karen M Brucks 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 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