ergodic


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Related to ergodic: Ergodic hypothesis

er·god·ic

 (ûr-gŏd′ĭk)
adj.
Of or relating to a system or process whose overall statistical properties can be determined by analysis of a sufficiently large sample of the states of one of its constituents or instances averaged over time.

[German Ergode, a set of points in a space with the property that all points will be included in a trajectory with equal frequency given a sufficient large number of trajectories (coined by Ludwig Eduard Boltzmann from Greek ergon, work; see werg- in Indo-European roots + Greek hodos, way, path) + -ic.]

er·god′i·cal·ly adv.

ergodic

(ɜːˈɡɒdɪk)
adj
(Mathematics) maths of or relating to the probability that any state will recur

er•god•ic

(ɜrˈgɒd ɪk)

adj. Math., Statistics.
pertaining to the condition that, in an interval of sufficient duration, a system will return to states that are closely similar to previous ones: the basis of statistical methods used in modern dynamics and atomic theory.
[1925–30; erg- + Greek (h)od(ós) way, road + -ic]
er`go•dic′i•ty (-gəˈdɪs ɪ ti) n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.ergodic - positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
random - lacking any definite plan or order or purpose; governed by or depending on chance; "a random choice"; "bombs fell at random"; "random movements"
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References in periodicals archive ?
He operates at the crossroads where number theory/uniform distribution intersects dynamical systems/quantitative ergodic theory, he says; it is pure mathematics with rigorous proofs, though he borrows some motivation and intuitions from physics and uses some probability theory.
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The system outage capacity and ergodic capacity are evaluated for performance analysis.
It is well known that every ergodic measure whose Lyapunov exponents are all negative of a [C.
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Can we construct a special master-space by the fusion of manifold concepts [11], soft topology [12], Ergodic theory [13],with Neutrosophic distribution ?
Given the invariant density or ergodic distribution, we can find some dynamical map f(.
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This relationship can exist only in a closed ergodic path [11].
From the estimates of the ergodic probabilities, it is clear that the exchange rate time series is usually in the low variance regime, in particular exchange rates stay there 87.
We prove a weak mean ergodic theorem for affine actions of finitely generated amenable groups on Hilbert space.