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

Antonin Guilloux

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arXiv · 0902.1910

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

Antonin Guilloux

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Abstract

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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Antonin Guilloux. 2009-02-11. A brief remark on orbits of $SL(2,Z)$ in the euclidean plane. https://arxiv.org/abs/0902.1910

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