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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.


Iteration of quasiregular tangent functions in three dimensions
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by A. N. Fletcher and D. A. Nicks
Conform. Geom. Dyn. 16 (2012), 1-21
Published electronically: February 7, 2012


We define a new quasiregular mapping $T:\mathbb {R}^3\to \mathbb {R}^3 \cup \{\infty \}$ that generalizes the tangent function on the complex plane and shares a number of its geometric properties. We investigate the dynamics of the family $\{\lambda T:\lambda >0\}$, establishing results analogous to those of Devaney and Keen for the meromorphic family $\{z\mapsto \lambda \tan z:\lambda >0\}$, although the methods used are necessarily original.
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Bibliographic Information
  • A. N. Fletcher
  • Affiliation: University of Warwick, Mathematics Institute, Coventry, England CV4 7AL
  • MR Author ID: 749646
  • D. A. Nicks
  • Affiliation: Open University, Department of Mathematics and Statistics, Milton Keynes, England MK7 6AA
  • Address at time of publication: School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, United Kingdom
  • MR Author ID: 862157
  • Received by editor(s): December 15, 2011
  • Published electronically: February 7, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 16 (2012), 1-21
  • MSC (2010): Primary 30C65; Secondary 30D05, 37F10
  • DOI:
  • MathSciNet review: 2888171