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arXiv · 1207.2984

Minoration of the complexity function associated to a translation on the torus

Nicolas Bédaride·Jean François Bertazzon
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Abstract

We show that the complexity function $p_k(n)$ of a piecewise translation map conjugated to a minimal translation on the torus $\TT^k = \RR^k / \ZZ^k$ is at least $kn+1$ for every integer $n$.

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Nicolas Bédaride, Jean François Bertazzon. 2012-07-12. Minoration of the complexity function associated to a translation on the torus. https://arxiv.org/abs/1207.2984

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