an attribute of stochastic systems; generally, a system that tends in probability to a limiting form that is independent of the initial conditions
English language
Toggle Transcript
ergodicity::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | haphazardness, noise, randomness, stochasticity |
Examples of ergodicity
ergodicity
The assumption of ergodicity lies at the basis of statistical mechanics.
From the nature.com
The ergodicity requirement is that the ensemble average coincide with the time average.
From the en.wikipedia.org
Another way ergodicity can be broken is by the existence of nonlinear soliton symmetries.
From the en.wikipedia.org
A sufficient condition for ergodicity is that the time evolution of the system is a mixing.
From the en.wikipedia.org
The concepts of ergodicity and the ergodic hypothesis are central to applications of ergodic theory.
From the en.wikipedia.org
This transformation has even stronger properties of unique ergodicity, minimality, and equidistribution.
From the en.wikipedia.org
A property of continuous dynamical systems that is the opposite of ergodicity is complete integrability.
From the en.wikipedia.org
Ergodicity of the geodesic flow on Riemannian symmetric spaces was demonstrated by F. I. Mautner in 1957.
From the en.wikipedia.org
G. Sinai proved ergodicity of the geodesic flow on compact manifolds of variable negative sectional curvature.
From the en.wikipedia.org
- An attribute of stochastic systems; generally, a system that tends in probability to a limiting form that is independent of the initial conditions
- In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over space. In physics the term is used to imply that a system satisfies the ergodic hypothesis of thermodynamics.
- (ergodic) Of or relating to certain systems that, given enough time, will eventually return to previously experienced state; Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole
- (Ergodic) 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.
