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Semi-parabolic Bifurcations in Complex Dimension Two

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Abstract

Parabolic bifurcations in one complex dimension demonstrate a wide variety of interesting dynamical phenomena. In this paper we consider the bifurcations of a holomorphic diffeomorphism in two complex dimensions with a semi-parabolic, semiattracting fixed point.

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Author notes

  1. Eric Bedford

    Present address: Stony Brook University, Stony Brook, NY, 11794, USA

Authors and Affiliations

  1. Indiana University, Bloomington, IN, 47405, USA

    Eric Bedford

  2. University of Warwick, Coventry, CV4 7AL, UK

    John Smillie

  3. Kyoto University, Kyoto, 606-8502, Japan

    Tetsuo Ueda

Authors
  1. Eric Bedford
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  2. John Smillie
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  3. Tetsuo Ueda
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Correspondence to Eric Bedford.

Additional information

Communicated by H.-T. Yau

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Bedford, E., Smillie, J. & Ueda, T. Semi-parabolic Bifurcations in Complex Dimension Two. Commun. Math. Phys. 350, 1–29 (2017). https://doi.org/10.1007/s00220-017-2832-y

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  • DOI: https://doi.org/10.1007/s00220-017-2832-y

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