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Original Articles

Sierpinski carpets as Julia sets for imaginary 3-circle inversions

Pages 705-713 | Received 17 Jul 2009, Accepted 23 Jul 2009, Published online: 21 May 2010

References

  • Beardon , A.F. 1991 . Iteration of Rational Functions , New York : Springer-Verlag .
  • Devaney , R.L. , Holzer , M. , Look , D.M. , Moreno Rocha , M. and Uminsky , D. 2008 . Singular perturbations of z n, Transcendental Dynamics and Complex Analysis , London Math Society Lecture Notes Series Edited by: Rippon , P. and Stallard , G. Vol. 348 , 111 – 137 . Cambridge : Cambridge University Press .
  • Douady , A. and Hubbard , J. 1985 . On the dynamics of polynomial-like mappings . Ann. Scient., Éc. Norm. Sup. 4e séries, t. , 18 : 287 – 343 .
  • Look , D.M. 2008 . The dynamics of two and three circle inversion . Fund. Math. , 199 : 227 – 247 .
  • Milnor , J. 2006 . Dynamics in One Complex Variable , 3rd ed. , Weisbaden : Vieweg .
  • Whyburn , G.T. 1958 . Topological characterization of the Sierpinski curve . Fund. Math. , 45 : 320 – 324 .

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