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Original Articles

On sullivan's classification of periodic stable domains

Pages 211-214 | Received 20 Mar 1989, Published online: 29 May 2007

References

  • Bers , L. 1987 . On Sullivan's proof of the finileness theorem and the eventual periodicity theorem . Amer. J. Math , 109 : 833 – 852 .
  • Blanchard , P. 1984 . Complex analytic dynamics on the Riemann sphere . Bull. Amer. Math. Soc , 11 : 85 – 141 .
  • Brolin , H. 1965 . Invariant sets under iteration of rational functions . Arkiv Math , 6 : 103 – 144 .
  • Fatou , P. 1920 . Sur les équations fonctionnelles . Bull. Soc. Math France , 48 : 208 – 314 .
  • Lyubich , M.Yu. 1986 . The dynamics of rational transforms the topological picture . Russ. Math Surveys , 41 ( 4 ) : 43 – 117 .
  • Sullivan , D. 1982 . Itération dcs fonctions analyliquescomplexes . C R. Acad.Sci Paris , 294 ( 4 ) : 301 – 303 .
  • Sullivan , D. 1985 . Quasiconformal homeomorphisms and dynamics I. Solution of the Fatou-Julia problem on wandering domains . Annals of Math , 122 ( 4 ) : 401 – 418 .
  • Tsuji , M. 1959 . Potential Theory , Tokyo : Maruzen .

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