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Metric Diophantine approximation and ‘absolutely friendly’ measures

✍ Scribed by Andrew Pollington; Sanju L. Velani


Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
161 KB
Volume
11
Category
Article
ISSN
1022-1824

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Diophantine approximation and self-confo
✍ Mariusz Urbański 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 250 KB

It is proved that the Hausdorff measure on the limit set of a finite conformal iterated function system is strongly extremal, meaning that almost all points with respect to this measure are not multiplicatively very well approximable. This proves Conjecture 10.6 from (on fractal measures and Diophan