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

Mathematical Intelligencer

Volumn 19, Issue 4, 1997, Pages 21-26

  Mandelbrot, Benoit ^a   Jaffard, Stéphane ^b  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287331     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03024410     Document Type: Article

References (9)

1. Bedford, T. 1989. Hölder exponents and Box dimension for self-affine fractal functions, J. Construct. Approx. 5, 33-48.
2. Billingsley, P. 1967. Ergodic Theory and Information. New York: Wiley.
3. Jaffard, S. and Mandelbrot, B. B. 1996. Local regularity of nonsmooth wavelet expansions and application to the Pólya function, Adv. Math. 120, 265-282.
4. Lax, P.D. 1973. The differentiability of Pólya's function, Adv. Math. 10, 456-464.
5. Mandelbrot, B. B. 1982. The Fractal Geometry of Nature. New York: W. H. Freeman and Company.
6. 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.
7. 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.
8. 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.
9. Volkmann, B. 1958. Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften definiert sind, VI. Math. Zeitschr. 68, 439-449.