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Measure theoretic laws for lim sup sets
About this Title
Victor Beresnevich, Detta Dickinson and Sanju Velani
Publication: Memoirs of the American Mathematical Society
Publication Year:
2006; Volume 179, Number 846
ISBNs: 978-0-8218-3827-3 (print); 978-1-4704-0447-5 (online)
DOI: https://doi.org/10.1090/memo/0846
MathSciNet review: 2184760
MSC: Primary 11J83; Secondary 11J13, 11K60, 28A78, 28A80
Table of Contents
Chapters
- 1. Introduction
- 2. Ubiquity and conditions on the general setup
- 3. The statements of the main theorems
- 4. Remarks and corollaries to Theorem 1
- 5. Remarks and corollaries to Theorem 2
- 6. The classical results
- 7. Hausdorff measures and dimension
- 8. Positive and full $m$-measure sets
- 9. Proof of Theorem 1
- 10. Proof of Theorem 2: $0 \leq G < \infty$
- 11. Proof of Theorem 2: $G = \infty$
- 12. Applications