Abstract : The structures of full words and non-full for β-expansions are completely characterized in this paper. We obtain the precise lengths of all the maximal runs of full and non-full words among admissible words with same order.
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Submitted on : Monday, January 18, 2021 - 10:56:36 AM Last modification on : Wednesday, January 20, 2021 - 3:37:59 AM
Yao-Qiang Li, Bing Li. Distributions of full and non-full words in beta-expansions. Journal of Number Theory, Elsevier, 2018, 190, pp.311-332. ⟨10.1016/j.jnt.2018.02.018⟩. ⟨hal-03113181⟩