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random ergodic theorem

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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

  • Stationary ergodic process — In probability theory, stationary ergodic process is a stochastic process which exhibits both stationarity and ergodicity. In essence this implies that the random process will not change its statistical properties with time.Stationarity is the… …   Wikipedia

  • Equipartition theorem — [ Thermal motion of an α helical peptide. The jittery motion is random and complex, and the energy of any particular atom can fluctuate wildly. Nevertheless, the equipartition theorem allows the average kinetic energy of each atom to be computed …   Wikipedia

  • Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …   Wikipedia

  • Fluctuation theorem — The fluctuation theorem (FT) is a theorem from statistical mechanics dealing with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (maximum entropy) will increase or decrease over a… …   Wikipedia

  • Poincaré recurrence theorem — In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence.… …   Wikipedia

  • 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

  • Alexandra Bellow — (1935 ndash;) is a mathematician who has made substantial contributions to the fields of ergodic theory, probability and analysis. BiographyShe was born in Bucharest, Romania, as Alexandra Bagdasar. Her parents were both physicians. Her mother,… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Roger Jones (mathematician) — For Roger Jones the physicist and entrepreneur see Roger Jones (physicist and entrepreneur) Roger L. Jones is an American mathematician. He has his Ph.D. in mathematics from Rutgers University and has recently retired from a professorship in… …   Wikipedia

  • Law of large numbers — The law of large numbers (LLN) is a theorem in probability that describes the long term stability of the mean of a random variable. Given a random variable with a finite expected value, if its values are repeatedly sampled, as the number of these …   Wikipedia

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