Stochastic Systems

Stochastic systems are processes or models that incorporate randomness and uncertainty. Unlike deterministic systems, where outcomes are predictable if initial conditions are known, stochastic systems have elements that can vary unpredictably. This randomness can result from various factors, such as fluctuations in the environment or inherent variability in processes. Examples of stochastic systems include weather patterns, stock market prices, and biological processes. By using mathematical tools, researchers analyze these systems to understand their behavior over time and make informed predictions despite the uncertainty involved.