Random walk

Process forming a path from many random steps

In mathematics, a random walk is a stochastic process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk is one on the integer number line Z {\displaystyle \mathbb {Z} } 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.

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