Thurston equivalence of topological polynomials Academic Article

abstract

• 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• ACTA MATHEMATICA

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

publisher

• International Press of Boston  Publisher

published in

• Acta Mathematica  Journal

keywords

• 37f10; 37f20; 20e08
• Math.ds
• Math.gr

Digital Object Identifier (DOI)

• 10.1007/s11511-006-0007-3

start page

• 1

end page

• 51

volume

• 197

issue

• 1

URL

• http://dx.doi.org/10.1007/s11511-006-0007-3