Remote Access Conformal Geometry and Dynamics
Green Open Access

Conformal Geometry and Dynamics

ISSN 1088-4173

 
 

 

Unicritical polynomial maps with rational multipliers


Author: Valentin Huguin
Journal: Conform. Geom. Dyn. 25 (2021), 79-87
MSC (2020): Primary 37P05, 37P35; Secondary 37F10, 37F44
DOI: https://doi.org/10.1090/ecgd/359
Published electronically: June 30, 2021
MathSciNet review: 4280290
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2020): 37P05, 37P35, 37F10, 37F44

Retrieve articles in all journals with MSC (2020): 37P05, 37P35, 37F10, 37F44


Additional Information

Valentin Huguin
Affiliation: Institut de Mathématiques de Toulouse, UMR 5219, Université de Toulouse, CNRS, UPS, F-31062 Toulouse Cedex 9, France
MR Author ID: 1427332
ORCID: 0000-0002-8174-5324
Email: valentin.huguin@math.univ-toulouse.fr

Received by editor(s): November 18, 2020
Received by editor(s) in revised form: April 29, 2021, and May 17, 2021
Published electronically: June 30, 2021
Article copyright: © Copyright 2021 American Mathematical Society