Coassociative grammar, periodic orbits, and quantum randomwalk over ℤ | Zendy

Philippe Leroux | Zendy

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Coassociative grammar, periodic orbits, and quantum randomwalk over ℤ

Author(s) -

Philippe Leroux

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3979

Subject(s) - mathematics , bernoulli's principle , quantum , periodic orbits , chaotic , coalgebra , set (abstract data type) , work (physics) , pure mathematics , chaotic map , orbit (dynamics) , discrete mathematics , algebra over a field , mathematical analysis , physics , quantum mechanics , computer science , engineering , artificial intelligence , programming language , thermodynamics , aerospace engineering

Inspired by a work of Joni and Rota, we show that the combinatorics generated by a quantisation of the Bernoulli randomwalk 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∈[0,1], are also given

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