Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Of or relating to certain systems that, given enough time, will eventually return to previously experienced state.
 adj. Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adj. positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions
Etymologies
Examples

The Ehrenfests (1912) paper was the first to recognize these questions, and to provide a partial answer: Assuming a certain hypothesis of Boltzmann's, which they dubbed the ergodic hypothesis, they pointed out that for an isolated system the microcanonical distribution is the unique stationary probability distribution.

That this was so became known as the ergodic hypothesis.

A good proof is a key that can unlock understanding, but this proof was long and complicated and used a difficult branch of math called ergodic theory.
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Paul Samuelson once went so far as to argue that economics must surrender its pretensions to science if it cannot assume the economy is "ergodic", which is a fancy way of saying that Fortune's wheel will spin tomorrow much as it did today (and that tomorrow's turn of the wheel is independent of today's).

It is my understanding that not only are the planetary orbits chaotic, they are nonergodic too.

Borrowing from JHorror films like Ring (1998) and Pulse (2001) as well as ergodic works such as Danieleweski's House of Leaves (2000) it uses emails, blog posts, chat logs, press releases and transcribed interviews to tell the story of a baroquely shot 1920s snuff film that manages to escape its original medium.
REVIEW: The Best Horror Of The Year, Volume 2 edited by Ellen Datlow

One approach to deriving the kinetic equations relies upon work which generalizes ergodic theory.

The mathematical discipline of ergodic theory developed out of these early ideas.

But what makes you think that the consequences of the shorter timescales are ergodic?

At best, you can say “have not been proven to be ergodic either using mathematics or empirically”.
seanahan commented on the word ergodic
I've actually studied what would be called ergodic systems, although that term wasn't use very often.
August 22, 2008
qroqqa commented on the word ergodic
Indeed, from erg "work" + hod "path", and adapted from the German Ergoden coined in a somewhat different sense by Boltzmann (1884).
August 21, 2008
milosrdenstvi commented on the word ergodic
Probably from Greek ergos work, and thus related to ergatic.
August 21, 2008
bilby commented on the word ergodic
It's almost disturbing that there are people in the world who require a word for 'positive recurrent aperiodic state of stochastic systems'.
August 21, 2008