Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Gold Open Access
Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173


On the dynamics of the McMullen family $ R(z)=z^m +\lambda/z^{\ell}$

Author: Norbert Steinmetz
Journal: Conform. Geom. Dyn. 10 (2006), 159-183
MSC (2000): Primary 37F10, 37F15, 37F45
Published electronically: August 22, 2006
MathSciNet review: 2261046
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note we discuss the parameter plane and the dynamics of the rational family $ R(z)=z^m+\lambda/z^{\ell}$, with $ m\ge 2$, $ \ell\ge 1$, and $ 0<\vert\lambda\vert<\infty$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2000): 37F10, 37F15, 37F45

Retrieve articles in all journals with MSC (2000): 37F10, 37F15, 37F45

Additional Information

Norbert Steinmetz
Affiliation: Fachbereich Mathematik, Universität Dortmund, D-44221 Dortmund, Germany

PII: S 1088-4173(06)00149-4
Keywords: Julia set, Fatou set, quasi-conjugation, polynomial-like mapping, quasi-conformal mapping, Mandelbrot set, parameter plane
Received by editor(s): January 31, 2006
Published electronically: August 22, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia