A census of rational maps
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 by Eva Brezin, Rosemary Byrne, Joshua Levy, Kevin Pilgrim and Kelly Plummer PDF
 Conform. Geom. Dyn. 4 (2000), 3574 Request permission
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 http://www.umr.edu/~pilgrim/Research/Census/WebPages/Main/Main.htmlReferences

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Additional Information
 Eva Brezin
 Affiliation: 993 Amsterdam Ave., Apt. 4a, New York, NY 10025
 Email: ebrezin@bear.com
 Rosemary Byrne
 Affiliation: Apt. 800, 1301 Massachusetts Ave. NW, Washington, DC 20005
 Email: rosemary.l.byrne@ccmail.census.gov
 Joshua Levy
 Affiliation: Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720
 Email: jdl@math.berkeley.edu
 Kevin Pilgrim
 Affiliation: Department of Mathematics and Statistics, University of Missouri at Rolla, Rolla, MO 654090020
 MR Author ID: 614176
 Email: pilgrim@umr.edu
 Kelly Plummer
 Affiliation: Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138
 Email: plummer@fas.harvard.edu
 Received by editor(s): June 16, 1999
 Received by editor(s) in revised form: January 25, 2000
 Published electronically: April 4, 2000
 Additional Notes: Research supported in part by the National Science Foundation’s Research Experiences for Undergraduates program.
The fourth author’s research was partially supported by the NSF’s REU program at Cornell, and by NSF Grants DMS9703724 and DMS9996070  © Copyright 2000 American Mathematical Society
 Journal: Conform. Geom. Dyn. 4 (2000), 3574
 MSC (2000): Primary 37F10; Secondary 13P10
 DOI: https://doi.org/10.1090/S1088417300000503
 MathSciNet review: 1749249