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- W155640470 abstract "We introduce a multidimensional continued fraction algorithm based on Arnoux-Rauzy and Poincare algorithms, and we study its associated S-adic system. An S-adic system is made of infinite words generated by the composition of infinite sequences of substitutions with values in a given finite set of substitutions, together with some restrictions concerning the allowed sequences of substitutions, expressed in terms of a regular language. We prove that these words have a factor complexity pn with lim sup pn/n<3, which provides a proof for the convergence of the associated algorithm by unique ergodicity." @default.
- W155640470 created "2016-06-24" @default.
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- W155640470 date "2013-01-01" @default.
- W155640470 modified "2023-10-18" @default.
- W155640470 title "Convergence and Factor Complexity for the Arnoux-Rauzy-Poincaré Algorithm" @default.
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- W155640470 doi "https://doi.org/10.1007/978-3-642-40579-2_10" @default.
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