Random walk: A trajectory or path composed of successive random steps
- Some examples: the path of a molecule moving through liquid or gas, the search path of a foraging animal, or the history of a share price in the market.
- Most often, all the steps in the walk are of similar length.
Lévy flight: A type of random walk with clusters of short steps connected by rarer long steps
- Used to describe chaotic systems
- Models data that clusters rather than randomly filling the space
- For example, most of a stock's movement often takes place on the best or worst few days
As part of our ideation methods, we use Levy flights to explore an idea space filled not with an even distribution of ideas, but with semi-randomly distributed clusters of ideas. We lead participants to jump to different parts of the space; explore around that point; and then jump again to another part of the space. We make big jumps surrounded by small steps, to find rich clusters of ideas in the most efficient way.