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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On some limit theorems for continued fractions
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by Jorge D. Samur PDF
Trans. Amer. Math. Soc. 316 (1989), 53-79 Request permission

Abstract:

As a consequence of previous results on mixing random variables, some functional limit theorems for quantities related to the continued fraction expansion of a random number in $(0,1)$ are given.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 316 (1989), 53-79
  • MSC: Primary 60F05
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0948197-9
  • MathSciNet review: 948197