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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Degree growth of rational maps induced from algebraic structures
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by Charles Favre and Jan-Li Lin PDF
Conform. Geom. Dyn. 21 (2017), 353-368 Request permission

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
  • MR Author ID: 641179
  • Email: charles.favre@polytechnique.edu
  • Jan-Li Lin
  • Affiliation: Department of Mathematics, Northwestern University, Evanston, IL 60208
  • MR Author ID: 711202
  • Email: janlin@math.northwestern.edu
  • 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.
  • © Copyright 2017 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 21 (2017), 353-368
  • MSC (2010): Primary 37F10
  • DOI: https://doi.org/10.1090/ecgd/312
  • MathSciNet review: 3716204