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Conformal Geometry and Dynamics

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Degree growth of rational maps induced from algebraic structures


Authors: Charles Favre and Jan-Li Lin
Journal: Conform. Geom. Dyn. 21 (2017), 353-368
MSC (2010): Primary 37F10
DOI: https://doi.org/10.1090/ecgd/312
Published electronically: October 25, 2017
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Abstract: For a finite dimensional vector space equipped with a $ \mathbb{C}$-algebra structure, one can define rational maps using the algebraic structure. In this paper, we describe the growth of the degree sequences for this type of rational maps.


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Additional Information

Charles Favre
Affiliation: CMLS, École polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau Cedex, France
Email: charles.favre@polytechnique.edu

Jan-Li Lin
Affiliation: Department of Mathematics, Northwestern University, Evanston, IL 60208
Email: janlin@math.northwestern.edu

DOI: https://doi.org/10.1090/ecgd/312
Received by editor(s): September 14, 2016
Received by editor(s) in revised form: May 2, 2017
Published electronically: October 25, 2017
Additional Notes: The first author was supported by the ERC-starting grant project “Nonarcomp” no.307856.
Article copyright: © Copyright 2017 American Mathematical Society