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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Itération d’applications rationnelles dans les espaces de matrices
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by Dominique Cerveau and Julie Déserti
Conform. Geom. Dyn. 15 (2011), 72-112
Published electronically: August 1, 2011


The iteration of rational maps is well understood in dimension $1$ but less so in higher dimensions. We study some maps on spaces of matrices which present a weak complexity with respect to the ring structure. First, we give some properties of certain rational maps; the simplest example is the rational map which sends the matrix $\mathrm {M}$ onto $\mathrm {M}^2$ for which we exhibit some dynamical properties. Finally, we deal with some small perturbations of this map.
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Bibliographic Information
  • Dominique Cerveau
  • Affiliation: Membre de l’Institut Universitaire de France. IRMAR, UMR 6625 du CNRS, Université de Rennes 1, 35042 Rennes, France
  • Email:
  • Julie Déserti
  • Affiliation: Institut de Mathématiques de Jussieu, Université Paris 7, Projet Géométrie et Dynamique, Site Chevaleret, Case 7012, 75205 Paris Cedex 13, France
  • Address at time of publication: Universität Basel, Mathematisches Institut, Rheinsprung 21, CH-4051, Basel, Switzerland
  • Email:
  • Received by editor(s): March 7, 2011
  • Published electronically: August 1, 2011
  • © Copyright 2011 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 15 (2011), 72-112
  • MSC (2010): Primary 14E05, 32H50, 37B05
  • DOI:
  • MathSciNet review: 2833474