On dynamics of vertices of locally connected polynomial Julia sets

Academic Article

Abstract

  • Let P be a polynomial whose Julia set J is locally connected. Then a non-preperiodic non-precritical vertex of J must have the limit set which coincides with the limit set of an appropriately chosen recurrent critical point of P. In particular, if all critical points of P are non-recurrent then all vertices of J are preperiodic or precritical.
  • Digital Object Identifier (doi)

    Pubmed Id

  • 12121440
  • Author List

  • Blokh A; Levin G
  • Start Page

  • 3219
  • End Page

  • 3230
  • Volume

  • 130
  • Issue

  • 11