No results for "Ergodic theorems, spectral theory, Markov operators" (auto) in titles.

Suggestions for article titles:

1. Operator ergodic theorem: A general name for theorems on the limit of means along an unboundedly lengthening "time interval" $ n = 0 \dots N $, or $ 0 \leq t \leq T $, for the powers $ \{ A ^ {n} \} $ of a linear operator $ A $ acting on a Banach ... (Mathematics) [100%] 2024-01-12 [General theory of linear operators]
2. Markov theorem: In mathematics the Markov theorem gives necessary and sufficient conditions for two braids to have closures that are equivalent knots or links. The conditions are stated in terms of the group structures on braids. (Gives necessary and sufficient conditions for two braids to have equivalent closures) [83%] 2023-10-06 [Theorems in algebraic topology] [Theorems in graph theory]...
3. Maximal ergodic theorem: If $ T $ is an endomorphism of a measure space $ ( X , \mu ) $, if $ f \in L _ {1} ( X , \mu ) $ and if $ E $ is the set of $ x \in X $ for which $$ \sup _ {n \geq 0 } \sum_{i=0} ^ { n ... (Mathematics) [74%] 2024-01-12 [Ergodic theorems, spectral theory, Markov operators]
4. Multiplicative ergodic theorem: Oseledets's multiplicative ergodic theorem, Oseledec's multiplicative ergodic theorem Consider a linear homogeneous system of differential equations $$ \tag{a1 } \dot{x} = A ( t) x ,\ \ x ( 0 ; x _ {0} ) = x _ {0} \in \mathbf R ^ {n} ,\ \ t \geq 0 ... (Mathematics) [74%] 2023-10-17
5. Gallagher ergodic theorem: Let $f(q)$ be a non-negative function defined on the positive integers. Gallagher's ergodic theorem, or Gallagher's zero-one law states that the set of real numbers $x$ in $0\leq x\leq1$ for which the Diophantine ... (Mathematics) [74%] 2023-09-15
6. Birkhoff ergodic theorem: One of the most important theorems in ergodic theory. For an endomorphism $ T $ of a $ \sigma $-finite measure space $ (X,\Sigma,\mu) $, Birkhoff’s ergodic theorem states that for any function $ f \in {L^{1}}(X,\Sigma,\mu) $, the limit ... (Mathematics) [74%] 2023-09-18 [Ergodic theorems, spectral theory, Markov operators]
7. Maximal ergodic theorem: The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that \displaystyle{ (X, \mathcal{B},\mu) }[/math] is a probability space, that \displaystyle{ T : X\to X }[/math] is a (possibly noninvertible) measure-preserving transformation ... [74%] 2023-12-30 [Probability theorems] [Ergodic theory]...
8. 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 ... [69%] 2023-02-22 [Mathematics]
9. 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) [69%] 2023-12-21 [Ergodic theory]
10. 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) [69%] 2024-06-17 [Ergodic theory]
11. 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) [69%] 2025-05-26 [Ergodic theory]
12. Markov operator: In probability theory and ergodic theory, a Markov operator is an operator on a certain function space that conserves the mass (the so-called Markov property). If the underlying measurable space is topologically sufficiently rich enough, then the Markov operator ... [68%] 2023-12-23 [Probability theory] [Ergodic theory]...
13. Markov operator: In probability theory and ergodic theory, a Markov operator is an operator on a certain function space that conserves the mass (the so-called Markov property). If the underlying measurable space is topologically sufficient rich enough, then the Markov operator ... [68%] 2023-08-19 [Probability theory] [Ergodic theory]...
14. Markov braid theorem: If two closed braids represent the same ambient isotopy class of oriented links (cf. also Braid theory), then one can transform one braid to another by a sequence of Markov moves: i) $a \leftrightarrow b a b ^ { - 1 }$ (conjugation). (Mathematics) [68%] 2023-10-18
15. Markov–Krein theorem: In probability theory, the Markov–Krein theorem gives the best upper and lower bounds on the expected values of certain functions of a random variable where only the first moments of the random variable are known. The result is named ... [68%] 2023-05-10 [Probability theorems]
16. Markov–Krein theorem: In probability theory, the Markov–Krein theorem gives the best upper and lower bounds on the expected values of certain functions of a random variable where only the first moments of the random variable are known. The result is named ... [68%] 2023-09-21 [Probability theorems]
17. Gauss-markov theorem: This theorem states that when estimating parameters in a linear model (viz. the parameters appear linearly in the model), the linear least squares estimator is the most efficient (viz. [68%] 2023-02-14
18. Gauss–Markov theorem: In statistics, the Gauss–Markov theorem (or simply Gauss theorem for some authors) states that the ordinary least squares (OLS) estimator has the lowest sampling variance within the class of linear unbiased estimators, if the errors in the linear regression ... (Theorem related to ordinary least squares) [68%] 2024-06-03 [Theorems in statistics]
19. Markov chain, ergodic: A homogeneous Markov chain $ \xi ( t) $ with the following property: There are quantities (independent of $ i $) $$ \tag{1 } p _ {j} = \lim\limits _ {t \rightarrow \infty } p _ {ij} ( t) ,\ \ \sum _ { j } p _ {j} = 1 , $$ where $$ p ... (Mathematics) [67%] 2023-08-20
20. Theorem: A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms. They have been in use since Euclidean geometry as the basis of geometrical facts. [64%] 2023-02-21 [Mathematics]