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Bifurcations in the elementary Desboves family


Authors: Fabrizio Bianchi and Johan Taflin
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 32H50, 37F45
DOI: https://doi.org/10.1090/proc/13579
Published electronically: May 4, 2017
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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.


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Additional Information

Fabrizio Bianchi
Affiliation: Department of Mathematics, Imperial College, South Kensington Campus, London SW7 2AZ, United Kingdom
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
Email: johan.taflin@u-bourgogne.fr

DOI: https://doi.org/10.1090/proc/13579
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
Article copyright: © Copyright 2017 American Mathematical Society