Directed recursion models for fractal growth

B. B. Mandelbrot, T. Vicsek

Research output: Contribution to journalArticle

36 Citations (Scopus)


Fractals constructed by recursive processes are introduced to model growth phenomena. These fractals are simultaneously directed and self-similar in analogy with patterns growing under diffusion-limited conditions. The multifractal nature of the harmonic measure associated with Laplacian interfaces is qualitatively interpreted using the models. Calculation of the largest singularity exponent allows one to make conclusions about the behaviour of diffusion-limited aggregates.

Original languageEnglish
Article number005
Pages (from-to)L377-L383
JournalJournal of Physics A: Mathematical and General
Issue number9
Publication statusPublished - Dec 1 1989

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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