ergodic hypothesis

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• 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 hypothesis — ergodinė hipotezė statusas T sritis fizika atitikmenys: angl. ergodic hypothesis vok. Ergodenhypothese, f rus. эргодическая гипотеза, f pranc. hypothèse ergodique, f …   Fizikos terminų žodynas

• 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 (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 (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

• hypothesis — noun /haɪˈpɒθɪ̈sɪs/ a) A tentative conjecture explaining an observation, phenomenon or scientific problem that can be tested by further observation, investigation and/or …   Wiktionary

• John von Neumann — Von Neumann redirects here. For other uses, see Von Neumann (disambiguation). The native form of this personal name is Neumann János. This article uses the Western name order. John von Neumann …   Wikipedia

• Microcanonical ensemble — Statistical mechanics Thermodynamics · …   Wikipedia

• Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia