Thurston equivalence of topological polynomials Academic Article uri icon


  • We answer Hubbard's question on determining the Thurston equivalence class of ``twisted rabbits'', i.e. images of the ``rabbit'' polynomial under n-th powers of the Dehn twists about its ears. The answer is expressed in terms of the 4-adic expansion of n. We also answer the equivalent question for the other two families of degree-2 topological polynomials with three post-critical points. In the process, we rephrase the questions in group-theoretical language, in terms of wreath recursions.

published proceedings


altmetric score

  • 8.948

author list (cited authors)

  • Bartholdi, L., & Nekrashevych, V.

citation count

  • 37

complete list of authors

  • Bartholdi, Laurent||Nekrashevych, Volodymyr

publication date

  • January 2006