ergodic shift
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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
Subshift of finite type — In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of all possible sequences executed by a finite state… … Wikipedia
Bernoulli scheme — In mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes.[1][2] Bernoulli schemes are important in the study of dynamical systems, as most such systems (such as Axiom… … Wikipedia
Mixing (mathematics) — In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, etc. The concept appears in ergodic theory the… … Wikipedia
Ergodentheorie — Ergodizität ist ein Begriff innerhalb des mathematischen Teilgebiets der Stochastik. Die Statistik eines Prozesses wird von einer Musterfunktion beschrieben. Inhaltsverzeichnis 1 Vorbereitungen 2 Definition 3 Anwendungen … Deutsch Wikipedia
Chaos theory — This article is about chaos theory in Mathematics. For other uses of Chaos theory, see Chaos Theory (disambiguation). For other uses of Chaos, see Chaos (disambiguation). A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3 … 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
Noncommutative geometry — Not to be confused with Anabelian geometry. Noncommutative geometry (NCG) is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative… … Wikipedia
MIMO — This article is about MIMO in wireless communication. For other uses, see MIMO (disambiguation). Understanding of SISO, SIMO, MISO and MIMO (note that the terms input and output refer to the radio channel carrying the signal, not to the devices… … Wikipedia
Dynamical systems theory — is an area of applied mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical … Wikipedia
Système dynamique — Ne doit pas être confondu avec Dynamique des systèmes (en) Pour consulter un article plus général, voir : théorie des systèmes dynamiques. En mathématiques, en physique théorique et en ingénierie, un système dynamique est un… … Wikipédia en Français