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Moscow Mathematical Journal, 2012, Volume 12, Number 4, Pages 747–763
DOI: https://doi.org/10.17323/1609-4514-2012-12-4-747-763 (Mi mmj479) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Thurston equivalence to a rational map is decidable

Sylvain Bonnota, Mark Bravermanba, Michael Yampolskya

a Department of Mathematics, University of Toronto, 40 St George Street, Toronto, ON, M5S2E4, Canada
b Princeton University
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DOI: https://doi.org/10.17323/1609-4514-2012-12-4-747-763
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.
Received: March 4, 2011
Bibliographic databases:
Document Type: Article
MSC: 37E30, 37F20, 68W05
Language: English
Citation: Sylvain Bonnot, Mark Braverman, Michael Yampolsky, “Thurston equivalence to a rational map is decidable”, Mosc. Math. J., 12:4 (2012), 747–763
Citation in format AMSBIB
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\by Sylvain~Bonnot, Mark~Braverman, Michael~Yampolsky
\paper Thurston equivalence to a rational map is decidable
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 4
\pages 747--763
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\crossref{https://doi.org/10.17323/1609-4514-2012-12-4-747-763}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076853}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314341500005}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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