Abstract
We discuss the general combinatorial, topological, algebraic, and dynamical issues underlying the enumeration of postcritically finite rational functions, regarded as holomorphic dynamical systems on the Riemann sphere. We present findings from our creation of a census of all degree two and three hyperbolic nonpolynomial maps with four or fewer postcritical points. Our data is tabulated in detail at. © 1999 American Mathematical Society.
Recommended Citation
E. Brezin et al., "A Census of Rational Maps," Conformal Geometry and Dynamics, vol. 4, no. 3, pp. 35 - 74, American Mathematical Society, Apr 2000.
The definitive version is available at https://doi.org/10.1090/S1088-4173-00-00050-3
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
1088-4173
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Mathematical Society, All rights reserved.
Publication Date
04 Apr 2000
