Results 1 to 10 of about 6,405 (199)
On Quasi-Compact Markov Operators [PDF]
Annals of Probability, 1974 Let $P$ be a conservative Markov operator on $L_\infty(X, \sum, m)$. The following conditions are proved to be equivalent: (i) $P$ is ergodic and quasi-compact. (ii) $P$ is ergodic and $(I - P)L_\infty$ is closed. (iii) For every $u \in L_1$ with $\int u dm = 0$ the sequence $\{\sum^N_{n=0} uP^n\}$ is weakly sequentially compact in $L_1$.
Michael Lin
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Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
Universitas Scientiarum, 2019 The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them.
Leonardo Fabio Chacón-Cortés, Oscar Francisco Casas-Sánchez
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Filomat, 2018 Let A and B be f -algebras with unit elements eA and eB respectively. A positive operator T from A to B satisfying T(eA) = eB is called a Markov operator. In this definition we replace unit elements with weak order units and, in this case, call T to be a weak Markov operator.
Hülya Duru, Serlan Ilter
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Mixing and observation for Markov operator cocycles* [PDF]
Nonlinearity, 2021 Abstract We consider generalized definitions of mixing and exactness for random dynamical systems in terms of Markov operator cocycles. We first give six fundamental definitions of mixing for Markov operator cocycles in view of observations of the randomness in environments, and reduce them into two different groups.
Fumihiko Nakamura +2 more
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Criteria of spectral gap for Markov operators [PDF]
Journal of Functional Analysis, 2013 16pages
Feng‐Yu Wang
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GENERALIZED TRANSLATION OPERATORS AND MARKOV PROCESSES [PDF]
Demonstratio Mathematica, 2001 Summary: We study the relationship between generalized translation operators and stochastic convolutions on locally compact spaces. We prove that stochastic convolution semigroups can generate Lévy type processes which are strong Markov Feller processes and, as an example, we study the Bingham convolution and its dual on integers.
Nguyễn Văn Thụ
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Markov Operators and Quasi-Stonian Spaces [PDF]
Proceedings of the American Mathematical Society, 1981 Let X X be a quasi-stonian space, and let
Robert E. Atalla
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On differential operators associated with Markov operators
Journal of Functional Analysis, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vita Leonessa +2 more
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Quasi-Compactness of Operators for General Markov Chains and Finitely Additive Measures
MathematicsWe study Markov operators T, A, and T* of general Markov chains on an arbitrary measurable space. The operator, T, is defined on the Banach space of all bounded measurable functions.
Alexander Zhdanok
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Convexity, Markov Operators, Approximation, and Related Optimization
Mathematics, 2022 The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
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