Julia sets of expanding polymodials

Academic Article

Abstract

  • We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension. © 2005 Cambridge University Press.
  • Published In

    Digital Object Identifier (doi)

    Author List

  • Blokh A; Cleveland C; Misiurewicz M
  • Start Page

  • 1691
  • End Page

  • 1718
  • Volume

  • 25
  • Issue

  • 6