Skip to main content
Log in

Nontrivial fractals in the plane and linear operators with joint spectral radius equal to 1

  • Brief Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. B. Mandelbrot,Fractals, Form, Chance, and Dimension, Freeman, San Francisco (1977).

    Google Scholar 

  2. V. Yu. Protasov,Fundamental'naya i Prikladnaya Matematika,2, No. 1, 205–231 (1996).

    MATH  MathSciNet  Google Scholar 

  3. G. C. Rota and G. Strang,Indag. Math.,63, 379–381 (1960).

    MathSciNet  Google Scholar 

  4. J. E. Hutchinson,Indiana Univ. Math. J.,30, 713–747 (1981).

    Article  MATH  MathSciNet  Google Scholar 

  5. M. F. Barnsley and S. Demko,Proc. Roy. Soc. London. Ser. A,399, 243–275 (1985).

    MathSciNet  Google Scholar 

  6. M. F. Barnsley and A. D. Sloan,Byte Mag., 215–223 (1988).

  7. M. F. Barnsley,Fractals Everywhere, Acad. Press, London (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 63, No. 5, pp. 797–800, May, 1998.

This research was supported by the Russian Foundation for Basic Research under grants No. 96-01-01292 and No. 96-15-96091.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sheipak, I.A. Nontrivial fractals in the plane and linear operators with joint spectral radius equal to 1. Math Notes 63, 701–705 (1998). https://doi.org/10.1007/BF02312855

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02312855

Key words

Navigation