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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.


Single and double toral band Fatou components in meromorphic dynamics
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by Jane Hawkins and Lorelei Koss
Conform. Geom. Dyn. 27 (2023), 118-144
Published electronically: February 16, 2023


We analyze the existence and types of unbounded Fatou components for elliptic functions and other meromorphic functions with doubly periodic Julia sets. We show that apart from Herman rings and Siegel disks, all types of dynamics can occur in these domains, which are called toral bands. We show that toral bands are not necessarily periodic, and we give results about the number of distinct residue classes of critical points in each toral band.
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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
  • Address at time of publication: Department of Mathematics, Colby College, 5845 Mayflower Hill, Waterville, Maine 04901-8858
  • MR Author ID: 662937
  • Email:
  • Received by editor(s): March 30, 2022
  • Received by editor(s) in revised form: September 8, 2022
  • Published electronically: February 16, 2023
  • © Copyright 2023 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 27 (2023), 118-144
  • MSC (2020): Primary 37F10, 37F12, 30D05
  • DOI:
  • MathSciNet review: 4550316