More properties of the Fibonacci word on an infinite alphabet

10/08/2017

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by   Amy Glen, et al.

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Recently the Fibonacci word W on an infinite alphabet was introduced by [Zhang et al., Electronic J. Combinatorics 24-2 (2017) #P2.52] as a fixed point of the morphism ϕ: (2i) (2i)(2i+ 1), (2i+ 1) (2i+ 2) over all i ∈N. In this paper we investigate the occurrence of squares, palindromes, and Lyndon factors in this infinite word.