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Billiard complexity in the hypercube

Nicolas Bedaride, Pascal Hubert (2007)

Annales de l’institut Fourier

We consider the billiard map in the hypercube of $ℝ^{d}$ . We obtain a language by coding the billiard map by the faces of the hypercube. We investigate the complexity function of this language. We prove that $n^{3 d - 3}$ is the order of magnitude of the complexity.

Binary strings without zigzags.

Munarini, Emanuele, Salvi, Norma Zagaglia (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

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