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Automorphisms of rational maps

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Holomorphic Functions and Moduli I

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 10))

Abstract

Let f(z) be a rational map, Aut(f) the finite group of Möbius transformations commuting with f. We study the question: when can two kinds of more flexible automorphisms of the dynamics of f be realized in Aut(g) for some deformation g of f?

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Author information

Authors and Affiliations

  1. Department of Mathematics, Northwestern University, Evanston, IL, 60201, USA

    Curt McMullen

Authors
  1. Curt McMullen
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Purdue University, West Layfayete, IN, 47909, USA

    D. Drasin

  2. Department of Mathematics, State University of New York at Stony Brook, Stony Brook, NY, 11794, USA

    I. Kra

  3. Department of Mathematics, Cornell University, Ithaca, NY, 14853, USA

    C. J. Earle

  4. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    A. Marden

  5. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    F. W. Gehring

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© 1988 Springer-Verlag New York Inc.

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McMullen, C. (1988). Automorphisms of rational maps. In: Drasin, D., Kra, I., Earle, C.J., Marden, A., Gehring, F.W. (eds) Holomorphic Functions and Moduli I. Mathematical Sciences Research Institute Publications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9602-4_3

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  • DOI: https://doi.org/10.1007/978-1-4613-9602-4_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9604-8

  • Online ISBN: 978-1-4613-9602-4

  • eBook Packages: Springer Book Archive

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