Coassociative grammar, periodic orbits, and quantum random walk over ℤ

Coassociative grammar, periodic orbits, and quantum random walk over ℤ

Inspired by a work of Joni and Rota, we show that the combinatorics generated by a quantisation of the Bernoulli random walk over ℤ can be described from a coassociative coalgebra. Relationships between this coalgebra and the set of periodic orbits of the classical chaotic system x↦2x mod⁡1, x∈[0,...

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Bibliographic Details
Main Author: Philippe Leroux
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3979

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