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Start Over Author "Floyd, W. J." Publisher american mathematical society
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2. NEARLY EUCLIDEAN THURSTON MAPS.

Author

Cannon, J. W., Floyd, W. J., Parry, W. R., and Pilgrim, K. M.

Subjects
*EUCLIDEAN geometry, *TEICHMULLER spaces, *HOMEOMORPHISMS, *ORBIFOLDS, *EIGENVALUES
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 f : S2 → S2 whose local degree at every critical point is 2 and which have exactly four postcritical points. These maps are simple enough to be tractable, but are complicated enough to have interesting dynamics. [ABSTRACT FROM AUTHOR]

Published
2012
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