Skip to main content
SpringerLink
Log in

Continuity of Julia sets

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

A sufficient and necessary condition is given for the continuity of Julia sets in the space of all rational maps with degreek>1.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Mañé, R., Sad, P., Sullivan, D., On the dynamics of rational maps,Ann. Ec. Norm. Sup., 1983, 16(4): 193.

    MATH  Google Scholar 

  2. Sullivan,|D., Quasiconformal homeomorphism and dynamics, I. Solution of the Fatou-Julia problem on wandering domains,Ann. Math., 1985, 401.

  3. Beardon, A.,Iteration of Rational Functions, New York: Springer-Verlag, 1991.

    MATH  Google Scholar 

  4. Douady, A., Does a Julia set depend continuously on the polynomial? inComplex Analytic Dynamics, AMS Proc. Symp. Appl. Math. (ed. Devaney, R.), 1994, 49.

  5. Yin, Y., The continuity of Julia sets of polynomials,Acta Math. Sinica (in Chinese), 1995, 38: 99.

    MATH  Google Scholar 

  6. Mañé, R., On the instability of Herman rings,Invent. Math., 1985, 81: 459.

    Article  MathSciNet  MATH  Google Scholar 

  7. Wu, S., Meromorphic multifunctions and stability of Julia sets,Ergod. Th. & Dynam. Sys. 1995, 15: 1231.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, 100871, Beijing, China

    Wu Shengjian

Authors
  1. Wu Shengjian
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19871002).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shengjian, W. Continuity of Julia sets. Sci. China Ser. A-Math. 42, 282–285 (1999). https://doi.org/10.1007/BF02879062

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02879062

Keywords

Search

Navigation