Results 241 to 250 of about 101,837 (275)

Constructive Approximations of Markov Operators

Journal of Statistical Physics, 2001
The authors propose a class of continuous piecewise linear approximations to Markov operators defined on \(L^1(I^N)\), where \(I^N\equiv [0,1]^N\) is the \(N\)-dimensional unit cube of \(\mathbb{R}^N\), and investigate various properties of such approximations.
Ding, Jiu, Zhou, Aihui
openaire   +1 more source

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.
openaire   +2 more sources

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 ...
openaire   +2 more sources

Constrictive Markov operators induced by Markov processes

Positivity, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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 ...
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

C 0-Semigroups Associated with Markov Operators

Mediterranean Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mocanu, Gabriela, Raşa, Ioan
openaire   +1 more source

Symmetric Markov Diffusion Operators

2014
This chapter provides a general framework for the investigation of symmetric Markov diffusion semigroups and operators. Based on the early observations of the first chapter and on the investigation of the model examples, it develops all the fundamental properties which will justify the computations in the following chapters in the most convenient ...
Dominique Bakry, Ivan Gentil, Michel Ledoux   +2 more
openaire   +1 more source

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 ...
openaire   +2 more sources