Hausdorffization and polynomial twists

Laura DeMarco*, Kevin Pilgrim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study dynamical equivalence relations on the moduli space MPd of complex polynomial dynamical systems. Our main result is that the critical-heights quotient MPd → T * d of [4] is the Hausdorzation of a relation based on the twisting deformation of the basin of infinity. We also study relations of topological conjugacy and the Branner-Hubbard wringing deformation.

Original languageEnglish (US)
Pages (from-to)1405-1417
Number of pages13
JournalDiscrete and Continuous Dynamical Systems
Volume29
Issue number4
DOIs
StatePublished - Apr 2011

Keywords

  • Conjugacy classes
  • Equivalence relations
  • Hausdorffization
  • Polynomial dynamics
  • Quasiconformal deformation

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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