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arXiv · 2009.10147

The W. Thurston Algorithm for Real Quadratic Rational Maps

Araceli Bonifant·John Milnor·Scott Sutherland
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Abstract

A study of real quadratic maps with real critical points, emphasizing the effective construction of critically finite maps with specified combinatorics. We discuss the behavior of the Thurston algorithm in obstructed cases, and in one exceptional badly behaved case, and provide a new description of the appropriate moduli spaces. There is also an application to topological entropy.

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Araceli Bonifant, John Milnor, Scott Sutherland. 2020-09-21. The W. Thurston Algorithm for Real Quadratic Rational Maps. https://doi.org/10.1090/ecgd%2F365

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