ergodicity

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

TSA doesn't understand what "random" means - Boing Boing 2009

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.

Firedoglake masaccio 2010

What it is lacking is not randomness, but ergodicity.

TSA doesn't understand what "random" means - Boing Boing 2009

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

Philosophy of Statistical Mechanics Sklar, Lawrence 2009

(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.

Philosophy of Statistical Mechanics Sklar, Lawrence 2009

Of course I understand your point about ergodicity.

Paul Linsay's Poisson Fit « Climate Audit 2007

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

Unthreaded #3 « Climate Audit 2007

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?

Exponential Growth in Physical Systems #2 « Climate Audit 2007

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

Against Bounces Sean 2007

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.

Paul Linsay's Poisson Fit « Climate Audit 2007