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The Attractor of Fibonacci-like Renormalization Operator

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Abstract

In this paper we extend the Fibonacci-like maps to a wider class with the so-called “bounded combinatorics”. The Fibonacci-like renormalization operator \({\cal R}\) is defined and we show that the orbit of each map from this class converges to a universal limit under iterates of \({\cal R}\).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P. R. China

    Hao Yang Ji & Si Min Li

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  1. Hao Yang Ji
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  2. Si Min Li
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Correspondence to Hao Yang Ji.

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The second author is supported by NSFC (Grant No. 11731003)

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Ji, H.Y., Li, S.M. The Attractor of Fibonacci-like Renormalization Operator. Acta. Math. Sin.-English Ser. 36, 1256–1278 (2020). https://doi.org/10.1007/s10114-020-9185-8

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  • DOI: https://doi.org/10.1007/s10114-020-9185-8

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