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Detailed view Article in peer-reviewed journal
International Journal of Mathematics and Mathematical Sciences 24 (2005) 3679-3996
Coassociative grammar, periodic orbits and quantum random walk over Z
Philippe Leroux1

We prove that the combinatorics generated by the quantum random walk on Z can be interpreted from the reading of periodic orbits of the classical chaotic map $x \mapsto 2x mod 1$.
1:  IRMAR - Institut de Recherche Mathématique de Rennes