Philippe Leroux, "Coassociative grammar, periodic orbits, and quantum random walk over ", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 782735, 18 pages, 2005. https://doi.org/10.1155/IJMMS.2005.3979
Coassociative grammar, periodic orbits, and quantum random walk over
Inspired by a work of Joni and Rota, we show that the combinatorics generated by a quantisation of the Bernoulli random walk over can be described from a coassociative coalgebra. Relationships between this coalgebra and the set of periodic orbits of the classical chaotic system , , are also given.
Copyright © 2005 Philippe Leroux. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.