@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/} }