This article is cited in 11 papers

Thurston equivalence to a rational map is decidable

Sylvain Bonnot^a, Mark Braverman^ba, Michael Yampolsky<sup>a

a</sup> Department of Mathematics, University of Toronto, 40 St George Street, Toronto, ON, M5S2E4, Canada
^b Princeton University

Abstract: We demonstrate that the question whether or not a given topological ramified covering map of the 2-sphere is Thurston equivalent to a rational map is algorithmically decidable.

Key words and phrases: Thurston equivalence, branched covering, algorithmic decidability.

MSC: 37E30, 37F20, 68W05

Received: March 4, 2011

Language: English

DOI: 10.17323/1609-4514-2012-12-4-747-763

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