Search for "Ergodic theory" in article titles:

1. Ergodic theory: metric theory of dynamical systems 1) In the "abstract" or "general" part of ergodic theory one examines measurable dynamical systems. In the most general sense this is a triple $(W,G,F)$, where $W$ is a measurable space (the "phase ... (Mathematics) [100%] 2023-12-21 [Ergodic theory]
2. Ergodic theory: Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behavior of time averages of various ... (Branch of mathematics that studies dynamical systems) [100%] 2024-06-17 [Ergodic theory]
3. Ergodic Theory: Ergodic Theory is the mathematical theory of well-behaved randomness. The random variables can occur discretely or continuously, but the total probability over the time period is always 1 so that the end of the time period, the random event ... [100%] 2023-02-22 [Mathematics]
4. Ergodic Ramsey theory: 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 arithmetic ... [81%] 2023-12-20 [Ergodic theory] [Ramsey theory]...
5. Ergodic theory, non-commutative: A branch of the theory of operator algebras in which one studies automorphisms of $C^*$-algebras from the point of view of ergodic theory. The range of questions considered in non-commutative ergodic theory and the results obtained so far ... (Mathematics) [70%] 2023-10-17
6. Skew product (ergodic theory): A skew product in ergodic theory is an automorphism $T$ of a measure space $E$ (and the thereby generated cascade $(T^n)$) such that $E$ is the direct product of two measure spaces $X \times Y$ and the action of ... (Mathematics) [70%] 2023-10-21