International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 24, Pages 3979-3996
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.