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What does ergodic mean?

Looking for the meaning or definition of the word ergodic? Here's what it means.

Adjective
  1. (mathematics) Of or relating to certain systems that, given enough time, will eventually return to previously experienced state.
  2. (statistics, engineering) Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
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Examples
Under appropriate assumptions on the boundary conditions and on the services, we obtain ergodic results for both versions of the model.
In the more difficult half plane problem, the aim is to obtain evolutions which are both temporally and spatially ergodic.
This duality structure, interesting by itsetf, is also instrumental in proving some of the ergodic results.
For the quadrant version, we prove the existence of temporally ergodic evolutions and of spatially ergodic ones.
While in the Harvard College Observatory he worked on many mathematical and astronomical subjects including topology and ergodic theory.
Doeblin also contributed to the theory of random chains with complete connection, some of which was used in a paper by him on ergodic properties of continued fractions.

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