An algebraic characterization of expanding Thurston maps
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Date
2012
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American Institute of Mathematical Sciences
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Abstract
Let $f:S^{2} \rightarrow S^{2}$ be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for $f$ to be homotopic, relative to its postcritical set, to an expanding map $g$.
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Keywords
Thurston map, Virtual endomorphism, expanding
Citation
Haïssinsky, P., & Pilgrim, K. M. (2012). An algebraic characterization of expanding Thurston maps. Journal of Modern Dynamics, 6(4), 451-476. http://dx.doi.org/10.3934/jmd.2012.6.451
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© 2012 AIM Sciences. In the Public Domain after 2040.
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Article