French-American mathematician Benoit Mandelbrot has died of cancer at the age of 85 in Cambridge, Massachusetts. Mandelbrot was most famously known for his work in exploring the mathematical shapes ...
A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...
LOS ANGELES — What do coastlines, clouds, cauliflower and the stock market have in common? Mathematician Ben oit Mandelbrot may not have conceived the question, but he provided an answer — one that ...
Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...
Oliver Wendell Holmes famously once wrote, "A mind that is stretched by a new experience can never go back to its old dimensions." My mind, and assuredly those of countless others, never did after ...
Geometry in ecological patterns of landscape and vegetation is not truly fractal, and varies across a range of scales, whereas fractal geometry provides tools for predicting and describing ecological ...
When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...
The mathematician Benoît Mandelbrot is best known for his work in the field of fractal geometry. He told me that when he was seeking a word to describe his geometry, thumbing through his son's Latin ...
The mathematician Benoît Mandelbrot is best known for his work in the field of fractal geometry. He told me that when he was seeking a word to describe his geometry, thumbing through his son's Latin ...