Nearly Euclidean Thurston maps
Authors:
J. W. Cannon, W. J. Floyd, W. R. Parry and K. M. Pilgrim
Journal:
Conform. Geom. Dyn. 16 (2012), 209-255
MSC (2010):
Primary 37F10, 37F20
DOI:
https://doi.org/10.1090/S1088-4173-2012-00248-2
Published electronically:
August 15, 2012
MathSciNet review:
2958932
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We take an in-depth look at Thurston's combinatorial characterization of rational functions for a particular class of maps we call nearly Euclidean Thurston maps. These are orientation-preserving branched maps 
whose local degree at every critical point is 
and which have exactly four postcritical points. These maps are simple enough to be tractable, but are complicated enough to have interesting dynamics.
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Additional Information
J. W. Cannon
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah 84602
Email:
cannon@math.byu.edu
W. J. Floyd
Affiliation:
Department of Mathematics, Virginia Tech, Blacksburg, Virginia 24061
Email:
floyd@math.vt.edu
W. R. Parry
Affiliation:
Department of Mathematics, Eastern Michigan University, Ypsilanti, Michigan 48197
Email:
walter.parry@emich.edu
K. M. Pilgrim
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email:
pilgrim@indiana.edu
DOI:
https://doi.org/10.1090/S1088-4173-2012-00248-2
Received by editor(s):
April 16, 2012
Published electronically:
August 15, 2012
Article copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
