Ergodicity - Wikipedia - stochastic processes  ## Metadata - Author: **stochastic processes** - Full Title: Ergodicity - Wikipedia - Category: #articles - URL: https://en.wikipedia.org/wiki/Ergodicity#:~:text=Ergodicity%20is%20a%20property%20of,in%20physics%20and%20in%20geometry. ## Highlights - In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a uniform and random sense. This implies that the average behavior of the system can be deduced from the trajectory of a "typical" point. Equivalently, a sufficiently large collection of random samples from a process can represent the average statistical properties of the entire process. Ergodicity is a property of the system; it is a statement that the system cannot be reduced or factored into smaller components