Abstract

‘Random walks and Brownian motion’ looks at how fractals can be generated by random events. In mathematics, the ‘random walk’ is a graph where the direction of the next point in relation to the current one is decided at random. If the steps between points are small enough, a fractal form, known as the Brownian process, is generated. The Brownian process has been used to try and predict financial behaviours, although it fails when dealing with extreme scenarios. Brownian motion is present in the real world, in the movement of pollen particles and atoms, and the growth of crystals and bacteria. Many natural phenomena display fractal behaviour over time.

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