Definitions for "Ergodic"
positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions
Visits every point in phase space with equal probability. The basis of entropy and the opposite to the behaviour of complex systems.
The property of a dynamical system such that all regions of a state space are visited with similar frequency and that all regions will be revisited (within a small proximity) if given enough time.
A more precise formulation of the concept of randomness. With an ergodic series of data there is no memory, no correlation with past data, so each new data point adds the same amount of new information.