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Renormalization Group Analysis of Some Highly Bifurcated Families

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Quantum Fields — Algebras, Processes

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Abstract

Using a renormalization group technique, we investigate the sequence of bifurcations occurring in a one parameter family of maps on an interval. This analysis provides a proof of the conjectures of Feigenbaum [F].

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References

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Author information

Authors and Affiliations

  1. Harvard University, Cambridge, Mass., USA

    P. Collet

  2. University of Geneva, Switzerland

    J.-P. Eckmann

  3. University of California, Berkeley, USA

    E. O. Lanford

Authors
  1. P. Collet
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  2. J.-P. Eckmann
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  3. E. O. Lanford
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Editor information

Editors and Affiliations

  1. Fakultät für Physik, Universität Bielefeld, Federal Republic of Germany

    Ludwig Streit

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© 1980 Springer-Verlag/Wien

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Collet, P., Eckmann, JP., Lanford, E.O. (1980). Renormalization Group Analysis of Some Highly Bifurcated Families. In: Streit, L. (eds) Quantum Fields — Algebras, Processes. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8598-8_9

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  • DOI: https://doi.org/10.1007/978-3-7091-8598-8_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8600-8

  • Online ISBN: 978-3-7091-8598-8

  • eBook Packages: Springer Book Archive

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