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Proceedings of the American Mathematical Society
Volumn 127, Issue 2, 1999, Pages 633-636
The rational maps z 1 + 1/wzd have no herman rings
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EID: 22444453243     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04566-9     Document Type: Article
Times cited : (8)
References (6)
  • 1
    • 84956267205 scopus 로고
    • The dynamics of rational transforms: The topological picture
    • MR 88g:58094
    • M. Lyubich, The dynamics of rational transforms: the topological picture, Russian Math. Surveys (4) 41 (1986), 35-95. MR 88g:58094
    • (1986) Russian Math. Surveys (4) , vol.41 , pp. 35-95
    • Lyubich, M.1
  • 2
    • 84950776875 scopus 로고
    • Geometry and dynamics of quadratic rational maps
    • MR 96b:58094
    • J. Milnor, Geometry and dynamics of quadratic rational maps , Experimental Mathematics (1) 2 (1993), 37 - 83. MR 96b:58094
    • (1993) Experimental Mathematics (1) , vol.2 , pp. 37-83
    • Milnor, J.1
  • 3
    • 0000155495 scopus 로고
    • On the dynamics of rational maps
    • MR 85j:58089
    • [MSS] R. Mane, P. Sad and D. Sullivan, On the dynamics of rational maps, Ann. Sci. EC. Norm. Sup. 16 (1983) , 193 - 217. MR 85j:58089
    • (1983) Ann. Sci. EC. Norm. Sup. , vol.16 , pp. 193-217
    • Mane, R.1    Sad, P.2    Sullivan, D.3
  • 4
    • 0003179128 scopus 로고
    • On the quasiconformal surgery of rational functions
    • MR 88i:58099
    • [Sh] M. Shishikura.On the quasiconformal surgery of rational functions , Ann. Sci. EC. Norm. Sup. 20 (1987), 1 - 29. MR 88i:58099
    • (1987) Ann. Sci. EC. Norm. Sup. , vol.20 , pp. 1-29
    • Shishikura, M.1
  • 5
    • 0000696635 scopus 로고
    • Quasiconformal homeomorphisms and dynamics I, Solution of the Fatou-Julia problem on wandering domains
    • MR 871:58103
    • [Su] D. Sullivan, Quasiconformal homeomorphisms and dynamics I, Solution of the Fatou-Julia problem on wandering domains, Ann. of Math. 122 (1985), 401 - 418. MR 871:58103
    • (1985) Ann. of Math. , vol.122 , pp. 401-418
    • Sullivan, D.1
  • 6
    • 0002639207 scopus 로고
    • On the Julia sets of quadratic rational maps
    • MR 93e:58160
    • [Y] Y. Yong Cheng On the Julia sets of quadratic rational maps , Complex variables 18 (1992), 141 - 147. MR 93e:58160
    • (1992) Complex Variables , vol.18 , pp. 141-147
    • Yong Cheng, Y.1

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