Beno\^{i}t Mandelbrot and Fractional Brownian Motion

TL;DR

This paper provides a personal historical account of Benoît Mandelbrot's recognition and naming of fractional Brownian motion, highlighting its significance and subsequent developments in the field.

Contribution

It offers a historical perspective on the development and recognition of fractional Brownian motion by Mandelbrot, emphasizing its importance in stochastic processes.

Findings

Mandelbrot recognized the importance of fractional Brownian motion.

He named and popularized the process.

The paper discusses subsequent developments in the field.

Abstract

Although fractional Brownian motion was not invented by Benoit Mandelbrot, it was he who recognized the importance of this random process and gave it the name by which it is known today. This is a personal account of the history behind fractional Brownian motion and some subsequent developments.