ergodic theorem
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ergodic theorem — ergodinė teorema statusas T sritis automatika atitikmenys: angl. ergodic theorem vok. Ergodentheorem, n rus. эргодическая теорема, f pranc. théorème d ergodicité, m … Automatikos terminų žodynas
Maximal ergodic theorem — The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure preserving transformation, and that . Define f * by The … Wikipedia
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 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
Oseledets theorem — In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It was proved by Valery Oseledets (also spelled Oseledec ) in 1965 … Wikipedia
Equidistribution theorem — In mathematics, the equidistribution theorem is the statement that the sequence : a , 2 a , 3 a , ... mod 1 is uniformly distributed on the unit interval, when a is an irrational number. It is a special case of the ergodic theorem.clarify… … Wikipedia
Birkhoff'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 … Wikipedia
Helmholtz theorem (classical mechanics) — For other uses, see Helmholtz theorem .The Helmholtz theorem of classical mechanics reads as follows:Let:H(x,p;V)=K(p)+varphi(x;V) be the Hamiltonian of a one dimensional system, where :K=frac{p^2}{2m} is the kinetic energy and :varphi(x;V) is a… … 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
Birkhoff's theorem — may refer to:* Birkhoff s theorem (relativity) * Birkhoff s theorem (electromagnetism) * Birkhoff s ergodic theorem * Birkhoff s HSP theorem, concerning the closure operations of homomorphism, subalgebra and product * A first representation… … Wikipedia
