Stochastic analysis is a branch of mathematics that deals with the study of random processes. It involves the study of the behavior of systems that evolve randomly over time, and the analysis of their probabilistic properties. Stochastic analysis is used in various fields, such as physics, biology, finance, and engineering, to model and analyze complex systems with uncertain or random components. Key topics of stochastic analysis include stochastic processes, stochastic differential equations, and random walks.