The condition of being stationary
(uncountable) The condition of being ergodic.
(mathematics) The condition of a series in which the value at all points is the same; the stationary value itself
(countable) The extent to which something is ergodic.
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 point.