Stationary ergodic process is a type of mathematical process that describes how a system behaves over time. It is made up of two parts: stationary and ergodic. Stationary means that the process of constantly changing over time but the overall pattern stays the same. Ergodic means that, no matter how long it takes, the process will eventually end up in the same place. For example, if you were to drop a rock in the water, it would move around for a while, going up and down and left and right, but eventually the water will calm and the rock will come to a stop. That's a stationary ergodic process.