Thurston equivalence to a rational map is decidable

Bonnot Sylvain, Mark Braverman, Michael Y. Yampolsky

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)747-763
Number of pages17
JournalMoscow Mathematical Journal
Issue number4
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Algorithmic decidability
  • Branched covering
  • Thurston equivalence


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