When1: 1977
Who: Benoit Mandelbrot [Mandelbrot, Benoit]
What: mathematician
Where: Poland/France/USA
works\ Fractals: Form, Chance and Dimension; Fractal Geometry of Nature [1977]
Detail: He lived 1924 to ? and ascribed fluctuations to discontinuous effects and to trends. He studied fractals, self-symmetry, 1/f noise, and 1/f squared noise. Fractal curves have non-integral dimensions. 1/f noise is like Cantor sets. In continuous intervals, continually removing inner third of each remaining continuous interval still leaves infinitely many points, and total empty distance is interval length {Cantor set, Mandelbrot}. Cantor sets are the same at all scales.
Mathematical Sciences>Mathematics>History>Geometry
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Date Modified: 2022.0224