JournalsrlmVol. 32, No. 3pp. 379–389

Fibonacci expansions

  • Claudio Baiocchi

    Accademia Nazionale dei Lincei, Roma, Italy

  • Vilmos Komornik

    Université de Strasbourg, France

  • Paola Loreti

    Sapienza Università di Roma, Italy
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Abstract

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. 379–389

DOI 10.4171/RLM/940