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- W1567630643 abstract "D. Hensley showed in 1994 that the number of steps taken by the Euclidean algorithm to find the greatest common divisor of two natural numbers less than or equal to n follows a normal distribution in the limit as n tends to infinity. V. Baladi and B. Vallee subsequently gave an alternative proof for both the classical Euclidean algorithm and several of its close variants, based on a detailed investigation of spectral properties of the transfer operator associated to the Gauss map, building on deep results of D. Dolgopyat. In this article we give a much shorter, albeit less quantitative, proof of this result using only basic spectral properties of the transfer operator together with the method of moments and a Tauberian theorem due to H. Delange." @default.
- W1567630643 created "2016-06-24" @default.
- W1567630643 creator A5031050575 @default.
- W1567630643 date "2015-02-26" @default.
- W1567630643 modified "2023-09-27" @default.
- W1567630643 title "A short proof that the number of division steps in the Euclidean algorithm is normally distributed" @default.
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