Skip to main content
Log in

Peano-pólya motions, when time is intrinsic or binomial (uniform or multifractal)

  • Article
  • Published:
The Mathematical Intelligencer 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

  • Bedford, T. 1989. Hölder exponents and Box dimension for self-affine fractal functions,J. Construct. Approx. 5, 33–48.

    Article  MATH  MathSciNet  Google Scholar 

  • Billingsley, P. 1967.Ergodic Theory and Information. New York: Wiley.

    Google Scholar 

  • Jaffard, S. and Mandelbrot, B. B. 1996. Local regularity of nonsmooth wavelet expansions and application to the Pólya function,Adv. Math. 120, 265–282.

    Article  MATH  MathSciNet  Google Scholar 

  • Lax, P.D. 1973. The differentiability of Pólya’s function,Adv. Math. 10, 456–464.

    Article  MATH  MathSciNet  Google Scholar 

  • Mandelbrot, B. B. 1982.The Fractal Geometry of Nature. New York: W. H. Freeman and Company.

    MATH  Google Scholar 

  • Mandelbrot, B. B. 1995. Negative dimensions and Hölders, multifractals and their Hölder spectra, and the role of lateral preasymptotics in science.J. P. Kahane meeting (Paris, 1993),J. of Fourier Anal. Appl. 409-432, special issue edited by J. Peyrière and A. Bonami

  • Pólya, G. 1913. Über eine Peanosche Kurve.Bull. Acad. Sci. Cracovie, Série A, 305-313.

  • Volkmann, B. 1958. Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften definiert sind, VI.Math. Zeitschr. 68, 439–449.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Benoit B. Mandelbrot.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mandelbrot, B.B., Jaffard, S. Peano-pólya motions, when time is intrinsic or binomial (uniform or multifractal). The Mathematical Intelligencer 19, 21–26 (1997). https://doi.org/10.1007/BF03024410

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03024410

Keywords

Navigation