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Mixing sequences of random variables and probablistic number theory

About this Title

Walter Philipp

Publication: Memoirs of the American Mathematical Society
Publication Year: 1971; Number 114
ISBNs: 978-0-8218-1814-5 (print); 978-0-8218-9911-3 (online)
DOI: https://doi.org/10.1090/memo/0114
MathSciNet review: 0437481

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Table of Contents

Chapters

  • Introduction
  • 1. Limit theorems for mixing sequences of random variables
  • 2. Limit theorems for continued fractions and related algorithms
  • 3. Limit theorems in Diophantine approximation
  • 4. The law of the iterated logarithm for discrepancies of sequences uniformly distributed mod 1
  • 5. On the distribution of additive functions