Random Walk

A random walk is a process where an object moves step-by-step in random directions, with each move independent of the previous ones. Imagine taking a walk where each step’s direction is chosen by flipping a coin or rolling dice, so you might go forward, backward, left, or right without any pattern. This concept applies in various fields, like finance (stock prices fluctuate randomly), physics, and ecology, to model systems where outcomes evolve unpredictably over time. Despite the randomness, random walks can have underlying statistical properties, such as undefined average position over many steps.