A brief remark on orbits of $SL(2,Z)$ in the euclidean plane

Details A brief remark on orbits of $SL(2,Z)$ in the euclidean plane A brief remark on orbits of $SL(2,Z)$ in the euclidean plane

2009-02-11

arxiv.org/abs/0902.1910v1

Mathematics

Dynamical Systems

8 pages, 2 figures

Scientific paper

The repartition of dense orbits of $\textrm{SL}(2,\dr Z)$ in the euclidean
plane is described by Ledrappier and Nogueira. We describe here the specific
patterns one can see by experimentation, linking it to diophantine
approximation theory.

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