Results 291 to 300 of about 1,483,088 (317)

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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Factorization of an adjontable Markov operator

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2019
In this work, we propose a method to investigate the factorization property of a adjontable Markov operator between two algebraic probability spaces without using the dilation theory. Assuming the existence of an anti-unitary operator on Hilbert space related to Stinespring representations of our Markov operator, which satisfy some particular modular ...
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Markov and Foias Operators

1994
Throughout this book we have studied the asymptotic behavior of densities. However, in some cases the statistical properties of dynamical systems are better described if we use a more general notion than a density, namely, a measure. In fact, the sequences (or flows) of measures generated by dynamical systems simultaneously generalize the notion of ...
Andrzej Lasota, Michael C. Mackey
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Markov Processes and Semigroups of Operators

Theory of Probability & Its Applications, 1956
In this paper the relations between various semigroups of operators and between various infinitesimal operators connected with a homogeneous in t Markov process are investigated. General conditions are established under which the Markov process is determined by its corresponding infinitesimal operator.Let $U_t $ be a semigroup of linear operators in ...
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Pseudodifferential Operators and Markov Processes on Adèles

p-Adic Numbers, Ultrametric Analysis and Applications, 2019
The authors construct a new class of ultrametrics on the ring \(\mathbb{A}_f\) of finite adèles of rational numbers. This leads to a construction of a class of pseudodifferential operators and Markov processes on \(\mathbb{A}_f\), which are invariant under multiplication by units. Considering the infinite place \(\mathbb{R}\), they extend these results
Aguilar-Arteaga, Victor A., Estala-Arias, Samuel   +1 more
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Markov Operators and Semifractals

2004
We show a relationship between the supports of invariant measures with respect to Markov operators and fractals and semifractals defined for Iterated Function Systems (or more generally for suitable multifunctions) without any use of probability theory.
Andrzej Lasota, Józef Myjak, Tomasz Szarek   +2 more
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Markov Operators

2015
Tanja Eisner, Bálint Farkas, Markus Haase, Rainer Nagel   +3 more
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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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Uniform Ergodicity of Lotz–Räbiger Nets of Markov Operators on Abstract State Spaces

, 2018
Nazife Erkurşun Özcan, F. Mukhamedov
semanticscholar   +1 more source

Asymptotic properties of multifunctions, families of measures and Markov operators associated with cocycles

, 2016
G. Guzik
semanticscholar   +1 more source