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Equicontinuous Markov Operators

Theory of Probability & Its Applications, 1964
In the paper we study limit properties of equicontinuous (nearly periodic) positive operators which transform continuous functions into continuous ones. The domain of definition of the functions is a compact Hausdorff space X. Section 1 contains some preliminary information. In Section 2, positive Markov operators are considered.
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Infinitesimal Operators of Markov Processes

Theory of Probability & Its Applications, 1956
In 1931 A. Kolmogorov showed [9] that a wide class of one dimensional Markov processes can be described by the differential equation \[(1)\qquad \frac{{\partial u}}{{\partial t}} + a\frac{{\partial ^2 u}}{{\partial x^2 }} + b\frac{{\partial u}}{{\partial x}}.\]Are there one-dimensional Markov processes governed by equations of the type \[ (2)\qquad ...
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Dynamical Entropy for Markov Operators

Journal of Dynamical and Control Systems, 2000
The author defines and examines the entropy for the class of Markov operators, an intermediate case between the classical and quantum systems. The author proves that in the case \(Pf(x)= f(Tx)\), where \(T\) is a measure preserving transformation and \(P\) is a Markov operator, the newly defined entropy coincides with the Kolmogorov-Sinai entropy of ...
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Markov operators on multimeasures

2006
In this paper, we study some IFS Markov operators on set-valued measures (multimeasures). For this, we consider countable additivity with respect to the Minkowski sum of compact and convex sets and countable additivity with respect to (the Hausdorff closure of) unions of compact sets.
Davide La Torre, Franklin Mendivil
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On a Certain Operator Related to Blackwell’s Markov Chain

Journal of Theoretical Probability, 2021
Ernest Nieznaj
exaly  

Markov finite approximation of Frobenius-Perron operator

Nonlinear Analysis: Theory, Methods & Applications, 1991
Jiu Ding
exaly  

Eigenvalue inequalities for the Markov diffusion operator

Monatshefte Fur Mathematik, 2017
Feng Du, Levi Adriano, Wang Qiaoling
exaly  

Approximation theorems for Markov operators

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1972
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