Fokker-Planck Equation
The Fokker-Planck Equation is a partial differential equation that describes the time evolution of probability distributions of a system's state. It is commonly used in statistical mechanics, finance, and biology to model how particles or agents move and interact over time under the influence of random forces.
This equation is particularly useful for systems influenced by noise or uncertainty, allowing researchers to predict how the likelihood of different outcomes changes. It can be seen as a generalization of the Kolmogorov Equation, which deals with stochastic processes, providing insights into the dynamics of complex systems.