Results 281 to 290 of about 1,483,088 (317)

Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators [PDF]

Positivity, 2019
In this paper the stability and the perturbation bounds of Markov operators acting on abstract state spaces are investigated. Here, an abstract state space is an ordered Banach space where the norm has an additivity property on the cone of positive ...
Farrukh Mukhamedov, Ahmed Al-Rawashdeh, Mukhamedov Farrukh   +2 more
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Extremality and factorizability of Markov operators

Journal of Mathematical Analysis and Applications, 2020
We prove that the extreme Markov operators that are factorizable as a composition of left and right invertible Markov operators must be one-sided invertible. It clearly follows that Markov operators, i.e.
Tippawan Santiwipanont, Songkiat Sumetkijakan   +1 more
exaly   +2 more sources

Existence of invariant idempotent measures by contractivity of idempotent Markov operators

Journal of Fixed Point Theory and Applications, 2021
We prove that the idempotent Markov operator generated by contractive max plus normalized iterated function system (IFS) is also a contractive map w.r.t. natural metrics on the space of idempotent measures.
R. D. da Cunha, E. Oliveira, F. Strobin
semanticscholar   +1 more source

FRACTALS, SEMIFRACTALS AND MARKOV OPERATORS

International Journal of Bifurcation and Chaos, 1999
The paper contains a review of results concerning the theory of iterated function systems (IFS) acting on an arbitrary metric space (without any assumption of compactness). First we discuss IFS acting on sets and we define fractals and semifractals using topological limits.
Lasota, A., Myjak, J.
openaire   +1 more source

Random iteration and Markov operators

Journal of Difference Equations and Applications, 2016
Rafał Kapica
exaly   +2 more sources

Dilation equations and Markov operators

Journal of Mathematical Analysis and Applications, 2005
Using the theory of Markov operators, we give a new proof of the known fact saying that for every positive integers N and k>1, and for every nonnegative reals c0,…,cN satisfying the first sum rule the dilation equation f(x)=∑n=0Ncnf(kx−n) has a ...
Janusz Morawiec
exaly   +2 more sources

Infinite dimensional orthogonality preserving nonlinear Markov operators

Linear and multilinear algebra, 2019
In the present paper, we study infinite dimensional orthogonality preserving the second-order nonlinear Markov operators. It is proved that subjectivity of the second-order nonlinear Markov operators is equivalent to the orthogonality preserves in the ...
F. Mukhamedov, Ahmad Fadillah Embong
semanticscholar   +1 more source

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
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Mixing for Markov operators

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1971
Michael Lin
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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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