Random walk is a mathematical concept that describes a path where an object moves randomly from one point to another in a continuous sequence of steps. This concept is widely used in various fields, including physics, computer science, finance, and biology, to model and analyze random processes. Random walks are often used to simulate the behavior of complex systems, such as the diffusion of particles in a liquid, the movement of stock prices in financial markets, or the behavior of molecules in a biological system. The study of random walks involves analyzing the statistical properties of these paths, such as the distribution of step lengths and the time it takes for the object to reach a certain point. Random walk theory has been instrumental in developing mathematical models for various real-world phenomena and has led to advancements in fields such as statistical physics, stochastic processes, and econometrics.