Geodesic
Monotone subsequences in the sequence of fractional parts of multiples of an irrational.
Journal für die reine und angewandte Mathematik, Tome 306 (1979), pp. 49-59.

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Mots-clés : Weyl Sequence, Length of Monotone Subsequences, Algebraic Irrationals, Uniform Distribution, Sequences of Fractional Parts, Random Number Generation, Metric Theory of Continued Fractions 
@article{JRAM_1979__306_152094,
     author = {David W. Boyd and J. Michael Steele},
     title = {Monotone subsequences in the sequence of fractional parts of multiples of an irrational.},
     journal = {Journal f\"ur die reine und angewandte Mathematik},
     pages = {49--59},
     publisher = {mathdoc},
     volume = {306},
     year = {1979},
     zbl = {0394.10019},
     url = {http://geodesic.mathdoc.fr/item/JRAM_1979__306_152094/}
}
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David W. Boyd; J. Michael Steele. Monotone subsequences in the sequence of fractional parts of multiples of an irrational.. Journal für die reine und angewandte Mathematik, Tome 306 (1979), pp. 49-59. http://geodesic.mathdoc.fr/item/JRAM_1979__306_152094/