# Definitions for **ergodic**ɜrˈgɒd ɪk

### This page provides all possible meanings and translations of the word **ergodic**

### Random House Webster's College Dictionary

er•god•ic^{*}ɜrˈgɒd ɪk(adj.)

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.

**Category:**Math

** ^{*}** Math., Statistics..

#### Origin of **ergodic**:

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

er`go•dic′i•ty-gəˈdɪs ɪ ti(n.)

### Princeton's WordNet

ergodic(adj)

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

### Wiktionary

ergodic(Adjective)

Of or relating to certain systems that, given enough time, will eventually return to previously experienced state.

ergodic(Adjective)

Of or relating to a process in which every sequence or sample of sufficient size is equally representative of the whole.

**Origin:** International Scientific Vocabulary (+ -ic)

### Freebase

Ergodicity

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 the space of all the system's states. In physics the term is used to imply that a system satisfies the ergodic hypothesis of thermodynamics. In statistics, the term describes a random process for which the time average of one sequence of events is the same as the ensemble average. In other words, for a Markov chain, as one increases the steps, there exists a positive probability measure at step that is independent of probability distribution at initial step 0.

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"ergodic." *Definitions.net.* STANDS4 LLC, 2014. Web. 19 Sep. 2014. <http://www.definitions.net/definition/ergodic>.