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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bifurcations in the elementary Desboves family
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by Fabrizio Bianchi and Johan Taflin PDF
Proc. Amer. Math. Soc. 145 (2017), 4337-4343 Request permission

Abstract:

We give an example of a family of endomorphisms of $\mathbb {P}^2(\mathbb {C})$ whose Julia set depends continuously on the parameter and whose bifurcation locus has non-empty interior.
References
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Additional Information
  • Fabrizio Bianchi
  • Affiliation: Department of Mathematics, Imperial College, South Kensington Campus, London SW7 2AZ, United Kingdom
  • MR Author ID: 1144484
  • Email: f.bianchi@imperial.ac.uk
  • Johan Taflin
  • Affiliation: Institut de Mathématiques de Bourgogne, Université de Bourgogne Franche-Comté, UMR CNRS 5584, 21078 Dijon Cedex, France
  • MR Author ID: 889224
  • Email: johan.taflin@u-bourgogne.fr
  • Received by editor(s): July 13, 2016
  • Received by editor(s) in revised form: October 19, 2016
  • Published electronically: May 4, 2017
  • Additional Notes: The first author was partially supported by the ANR project LAMBDA, ANR-13-BS01-0002 and by the FIRB2012 grant “Differential Geometry and Geometric Function Theory”, RBFR12W1AQ 002.
  • Communicated by: Franc Forstneric
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4337-4343
  • MSC (2010): Primary 32H50, 37F45
  • DOI: https://doi.org/10.1090/proc/13579
  • MathSciNet review: 3690617