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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.


Parametrized dynamics of the Weierstrass elliptic function
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by Jane Hawkins and Lorelei Koss
Conform. Geom. Dyn. 8 (2004), 1-35
Published electronically: February 24, 2004


We study parametrized dynamics of the Weierstrass elliptic $\wp$ function by looking at the underlying lattices; that is, we study parametrized families $\wp _{\Lambda }$ and let $\Lambda$ vary. Each lattice shape is represented by a point $\tau$ in a fundamental period in modular space; for a fixed lattice shape $\Lambda = [1, \tau ]$ we study the parametrized space $k \Lambda$. We show that within each shape space there is a wide variety of dynamical behavior, and we conduct a deeper study into certain lattice shapes such as triangular and square. We also use the invariant pair $(g_2, g_3)$ to parametrize some lattices.
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Bibliographic Information
  • Jane Hawkins
  • Affiliation: Department of Mathematics, University of North Carolina at Chapel Hill, CB #3250, Chapel Hill, North Carolina 27599-3250
  • MR Author ID: 82840
  • Email:
  • Lorelei Koss
  • Affiliation: Department of Mathematics and Computer Science, Dickinson College, P.O. Box 1773, Carlisle, Pennsylvania 17013
  • MR Author ID: 662937
  • Email:
  • Received by editor(s): May 21, 2003
  • Received by editor(s) in revised form: January 23, 2004
  • Published electronically: February 24, 2004
  • Additional Notes: The second author was supported in part by NSF Grant 9970575
  • © Copyright 2004 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 8 (2004), 1-35
  • MSC (2000): Primary 37F45
  • DOI:
  • MathSciNet review: 2060376