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Hausdorff Measure and Local Measure, II

✍ Scribed by Johnson, R. A.; Rogers, C. A.

Book ID: 120095381
Publisher: Oxford University Press
Year: 1984
Tongue: English
Weight: 290 KB
Volume: s2-29
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-29.1.67

No coin nor oath required. For personal study only.

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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