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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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Dynamics of the family $\lambda \tan z$
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by Linda Keen and Janina Kotus PDF
Conform. Geom. Dyn. 1 (1997), 28-57 Request permission

Abstract:

We study the the tangent family ${\mathcal F} = \{\lambda \tan z, \lambda \in {\mathbb C} - \{0\}\}$ and give a complete classification of their stable behavior. We also characterize the the hyperbolic components and give a combinatorial description of their deployment in the parameter plane.
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Additional Information
  • Linda Keen
  • Affiliation: Department of Mathematics, CUNY Lehman College, Bronx, New York 10468
  • MR Author ID: 99725
  • Email: linda@alpha.lehman.cuny.edu
  • Janina Kotus
  • Affiliation: Institute of Mathematics, Technical University of Warsaw, 00-661 Warsaw, Poland
  • Email: janinak@snowman.impan.gov.pl
  • Received by editor(s): April 28, 1997
  • Published electronically: August 13, 1997
  • Additional Notes: The first author was supported in part by NSF Grant DMS-9205433, PSC-CUNY Award, I.B.M. and M.S.R.I
    The second author was supported in part by Polish KBN Grant No 21046910 “Iteracje i fraktale” and KBN Grant No 2 P03A 025 12 “Iteracje funkcji holomorficznych", the Fulbright Foundation, I.M.S. Stony Brook and M.S.R.I
  • © Copyright 1997 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 1 (1997), 28-57
  • MSC (1991): Primary 30D05, 58F23, 32H50; Secondary 58F08, 34C35
  • DOI: https://doi.org/10.1090/S1088-4173-97-00017-9
  • MathSciNet review: 1463839