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Fractal Geometry of Nature

• Benoit B. Mandelbrot
• 1977

How long is the coast of britain? Statistical self-similarity and fractional dimension.

• Benoit B. Mandelbrot
• Science
• 1967

Geographical curves are so involved in their detail that their lengths are often infinite or, rather, undefinable. However, many are statistically "selfsimilar," meaning that each portion can be… (More)

RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON.

• George L. Gerstein, Benoit B. Mandelbrot
• Biophysical journal
• 1964

Quantitative methods for the study of the statistical properties of spontaneously occurring spike trains from single neurons have recently been presented. Such measurements suggest a number of… (More)

Fractal character of fracture surfaces of metals

• Benoit B. Mandelbrot, Dann. E. Passoja, Alvin J. Paullay
• 1984

When a piece of metal is fractured either by tensile or impact loading (pulling or hitting), the fracture surface that is formed is rough and irregular. Its shape is affected by the metal's… (More)

Some noises with I/f spectrum, a bridge between direct current and white noise

• Benoit B. Mandelbrot
• 1967

Robust r/s analysis of long mn serial correlation

• Benoit B. Mandelbrot, Murad S. Taqqu
• 1979

On the Distribution of Stock Price Differences

• Benoit B. Mandelbrot, Howard M. Taylor
• 1967

Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands.

• Benoit B. Mandelbrot
• Proceedings of the National Academy of Sciences…
• 1975

The degree of irregularity in oceanic coastlines and in vertical sections of the Earth, the distribution of the numbers of islands according to area, and the commonality of global shape between… (More)

A Note On a Class of Skew Distribution Functions: Analysis and Critique of a Paper by H. A. Simon

• Benoit B. Mandelbrot
• Information and Control
• 1959

This note is a discussion of H. A. Simon's model (1955) concerning the class of frequency distributions generally associated with the name of G. K. Zipf. The main purpose is to show that Simon's… (More)

Fractals and an art for the sake of science

• Benoit B. Mandelbrot
• SIGGRAPH
• 1989

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of… (More)

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