Definition of Ergodic

1. Adjective. Positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions.

Category relationships: Statistics
Similar to: Random

Definition of Ergodic

1. Adjective. (mathematics physics) Of or relating to certain systems that, given enough time, will eventually return to previously experienced state. ¹

2. Adjective. (statistics engineering) Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole. ¹

¹ Source: wiktionary.com

Definition of Ergodic

1. pertaining to the probability that any state will recur [adj]

Medical Definition of Ergodic

1. A mathematical term meaning space-filling. If a magnetic field is ergodic, any field line will eventually pass arbitrarily close to any point in space. Closely related to chaotic. (09 Oct 1997)

Lexicographical Neighbors of Ergodic

ergatocracies
ergatocracy
ergatocratic
ergatoid
ergine
ergo
ergo-
ergoalkaloid
ergobasine
ergocalciferol
ergocalciferols
ergocornine
ergocriptine
ergocristine
ergocryptine
ergodic (current term)
ergodic regime
ergodically
ergodicities
ergodicity
ergodynamograph
ergoesthesiograph
ergogenic
ergogenics
ergogram
ergograms
ergograph
ergographic
ergographs
ergoline

Literary usage of Ergodic

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in Physical Geometry by Robert Hermann (1988)
"THE ergodic THEOREM AND CHOW' S ACCESSIBILITY/CONTROLLABILITY THEOREM As in Section 2, let X be aC, paracompact manifold. Let V be a vector field on X, ..."

2. Dynamics & Stochastics: Festschrift in Honour of M.S. Keane by Dee Denteneer, F. den Hollander, M. S. Keane, Evgeny Verbitskiy (2006)
"Choosing A = A — e covers most of the proof of the ergodic Theorem. Theorem. ... Keywords and phrases: maximal ergodic theorem, pointwise ergodic theorem. ..."

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