Expansions in the Golden ratio base have been studied since a pioneering paper of Rényi more than sixty years ago. We introduce closely related expansions of a new type, based on the Fibonacci sequence, and we show that in some sense they behave better.
Cite this article
Claudio Baiocchi, Vilmos Komornik, Paola Loreti, Fibonacci expansions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 3, pp. 379–389DOI 10.4171/RLM/940