# Random walk

## Mathematical formalization of a path that consists of a succession of random steps / From Wikipedia, the free encyclopedia

#### Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Random walk?

Summarize this article for a 10 years old

In mathematics, a **random walk** is a random process that describes a path that consists of a succession of random steps on some mathematical space.

Part of a series on statistics |

Probability theory |
---|

An elementary example of a random walk is the random walk on the integer number line which starts at 0, and at each step moves +1 or −1 with equal probability. Other examples include the path traced by a molecule as it travels in a liquid or a gas (see Brownian motion), the search path of a foraging animal, or the price of a fluctuating stock and the financial status of a gambler. Random walks have applications to engineering and many scientific fields including ecology, psychology, computer science, physics, chemistry, biology, economics, and sociology. The term *random walk* was first introduced by Karl Pearson in 1905.[1]