- ergodic theory
- мат.эргодическая теория
English-Russian scientific dictionary. 2008.
ergodic theory
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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 theory — ergodinė teorija statusas T sritis fizika atitikmenys: angl. ergodic theory vok. Ergodentheorie, f rus. эргодическая теория, f pranc. théorie ergodique, f … Fizikos terminų žodynas
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 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 (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 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 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 (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
ergodic — ergodicity /err geuh dis i tee/, n. /err god ik/, adj. Math., 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… … Universalium
ergodic — er•god•ic [[t]ɜrˈgɒd ɪk[/t]] adj. Math., Statistics. math. 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 … From formal English to slang
