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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.

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.

 

Landing property of stretching rays for real cubic polynomials
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by Yohei Komori and Shizuo Nakane PDF
Conform. Geom. Dyn. 8 (2004), 87-114 Request permission

Abstract:

The landing property of the stretching rays in the parameter space of bimodal real cubic polynomials is completely determined. Define the Böttcher vector by the difference of escaping two critical points in the logarithmic Böttcher coordinate. It is a stretching invariant in the real shift locus. We show that stretching rays with non-integral Böttcher vectors have non-trivial accumulation sets on the locus where a parabolic fixed point with multiplier one exists.
References
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Additional Information
  • Yohei Komori
  • Affiliation: Department of Mathematics, Osaka City University, Sugimoto 3-3-138, Sumiyoshi-ku, Osaka 558-8585, Japan
  • Email: komori@sci.osaka-cu.ac.jp
  • Shizuo Nakane
  • Affiliation: Tokyo Polytechnic University, 1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan
  • MR Author ID: 190353
  • Email: nakane@gen.t-kougei.ac.jp
  • Received by editor(s): May 15, 2003
  • Received by editor(s) in revised form: November 20, 2003
  • Published electronically: March 29, 2004
  • © Copyright 2004 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 8 (2004), 87-114
  • MSC (2000): Primary 37F45; Secondary 37F30
  • DOI: https://doi.org/10.1090/S1088-4173-04-00102-X
  • MathSciNet review: 2060379