ergodic

[ur-god-ik]
adjective Mathematics, Statistics.
of or 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 assumption of such a condition underlies statistical methods used in modern dynamics and atomic theory.

Origin:
1925–30; erg- + Greek (h)od(ós) way, road + -ic

ergodicity [ur-guh-dis-i-tee] , noun
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WordNet
ergodic

adjective
positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions 
WordNet® 3.0, © 2006 by Princeton University.
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Example sentences
Ergodic theory of dynamical systems, probability, and information theory.
Let denote a one to one ergodic measure-preserving shift transformation.
Stationary ergodic models imply that the variance of forward rates converges to zero as the maturity increases.
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