Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The condition of being ergodic
 n. The extent to which something is ergodic
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. an attribute of stochastic systems; generally, a system that tends in probability to a limiting form that is independent of the initial conditions
Etymologies
Examples

As anyone with experience in Monte Carlo method knows, ergodicity is quite more important than randomness to get meaningful results.

In simple terms, "ergodicity" means that no matter what happens in the world, everything will reach a point where things stop changing, which, in economics, is the prized equilibrium.

What it is lacking is not randomness, but ergodicity.

There is the problem that strict ergodicity is not true of realistic systems.

(KAM) theorem shows that more realistic models (say of molecules interacting by means of "soft" potentials) are likely not to obey ergodicity in a strict sense.

Because of singularities, classical GR evades some of the standard properties of statistical systems, such as ergodicity.

So, in this context, I think it makes no difference if we speak about ergodicity or stationarity if math gurus disagree, cases of singular distributions etc, pl. tell it now.

Of course I understand your point about ergodicity.

He has placed an assumption of ergodicity on the set of proxies, which cannot hold.

Posted Nov 13, 2007 at 3:24 AM  Permalink bender, could the assumption of ergodicity be related to the assumptions inherent in the Uniformitarian Principle?
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.