# ergodic

ergodic
adjective Etymology: International Scientific Vocabulary erg- + -ode Date: 1926 1. of or relating to a process in which every sequence or sizable sample is equally representative of the whole (as in regard to a statistical parameter) 2. involving or relating to the probability that any state will recur; especially having zero probability that any state will never recur • ergodicity noun

New Collegiate Dictionary. 2001.

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• ergodic — ergódic adj. m., pl. ergódici; f. sg. ergódică, pl. ergódice Trimis de siveco, 10.08.2004. Sursa: Dicţionar ortografic ﻿ ERGÓDIC, Ă adj. (fiz.; despre un sistem termodinamic) Ai cărui parametri inter …   Dicționar Român

• Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical …   Wikipedia

• Ergodic literature — is literature that requires a non trivial effort to traverse the text. This effort must be ; that is, it must consist of more than simply reading by moving one s eyes along lines of text, turning pages and mentally interpreting what one reads.… …   Wikipedia

• Ergodic Ramsey theory — is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory.Ergodic Ramsey theory arose shortly after Endre Szemerédi s proof that a set of positive upper density contains arbitrarily long… …   Wikipedia

• Ergodic process — где Источник: ГОСТ 21878 76: Случайные процессы и динамические системы. Термины и определения …   Словарь-справочник терминов нормативно-технической документации

• Ergodic sequence — In mathematics, an ergodic sequence is a certain type of integer sequence, having certain equidistribution properties.DefinitionLet A = {a j} be an infinite, strictly increasing sequence of positive integers. Then, given an integer q , this… …   Wikipedia

• Ergodic (adjective) — In mathematics and physics, the adjective ergodic is used to imply that a system satisfies the ergodic hypothesis of thermodynamics or that it is a system studied in ergodic theory. Formal definitionLet (X, Sigma, mu) be a probability space, and… …   Wikipedia

• Ergodic process — In signal processing, a stochastic process is said to be ergodic if its statistical properties (such as its mean and variance) can be deduced from a single, sufficiently long sample (realization) of the process. Specific definitions One can… …   Wikipedia

• Ergodic measure — In mathematics, specifically in ergodic theory, an ergodic measure is a measure that satisfies the ergodic hypothesis for a given map of a measurable space into itself. Intuitively, an ergodic measure is one with respect to which the points of… …   Wikipedia

• Ergodic hypothesis — In physics and thermodynamics, the ergodic hypothesis says that, over long periods of time, the time spent by a particle in some region of the phase space of microstates with the same energy is proportional to the volume of this region, i.e.,… …   Wikipedia

• Ergodic (disambiguation) — Aside from its generic use as the generic adjective ergodic, ergodic may relate to: * Ergodic hypothesis, a postulate of thermodynamics * Ergodic theory, a branch of mathematics * Ergodic literature, literature that requires special effort to… …   Wikipedia