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\iteman{io-port 05201846}
\itemau{Bedaride, Nicolas}
\itemti{Classification of rotations on the torus $\Bbb T^2$.}
\itemso{Theor. Comput. Sci. 385, No. 1-3, 214-225 (2007).}
\itemab
Summary: We consider rotations on the torus $\Bbb T^2$, and we classify them with respect to complexity functions. In dimension one, a minimal rotation can be coded by a Sturmian word. A Sturmian word has complexity $n+1$ by the Morse-Hedlund theorem. Here we make a generalization in dimension two.
\itemrv{~}
\itemcc{}
\itemut{Billiard; symbolic dynamics; words; complexity; Sturmian words}
\itemli{doi:10.1016/j.tcs.2007.05.037}
\end