mean ergodic theorem en
1Ergodic 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 …
2Mean sojourn time — The mean sojourn time for an object in a system is a mathematical term for the amount of time an object is expected to spend in a system before leaving the system for good. Contents 1 Explanation 2 Calculation 3 See also 4 References …
3Birkhoff's theorem (relativity) — In general relativity, Birkhoff s theorem states that any spherically symmetric solution of the vacuum field equations must be stationary and asymptotically flat. This means that the exterior solution must be given by the Schwarzschild metric.The …
4Stationary 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… …
5Equipartition 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 …
6Central 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… …
7Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …
8John 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 …
9Frigyes Riesz — Infobox Scientist name = Frigyes Riesz box width = image width = caption = birth date = 1880 01 22 birth place = Győr, Hungary (Austria Hungary) death date = death date and age|1956|2|28|1880|1|22 death place = Budapest, Hungary residence =… …
10НЕЙМАНА ТЕОРЕМА — эргодическая: для изометрич. оператора в гильбертовом пространстве Ни любого существует предел (понимаемый в смысле сходимости по норме в H). Для непрерывной однопараметрич. группы унитарных преобразований в Ни любогосуществует предел (понимаемый …
