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, ...

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 ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

At this writing, the prospects for success of the latest Republican effort to replace the Affordable Care Act appear bleak—but the Graham-Cassidy bill on which the GOP has pinned its last-ditch hopes ...

Benoit Mandelbrot, the Polish-born, French and American mathematician, known as the "father of fractal geometry," is celebrated in today's Google Doodle, on what would have been his 96th birthday.

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 ...

Though now extinct, ammonoids (a group of marine mollusks with shells) evolved for 350 million years, always with a tendency toward increasingly elaborate shell structures. Scientists have studied ...

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 ...

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 ...