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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)
MathSciNet review: 2184760
MSC: Primary 11J83; Secondary 11J13, 11K60, 28A78, 28A80

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Table of Contents


  • 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