Results 21 to 30 of about 12,659 (208)
TURKISH JOURNAL OF MATHEMATICS, 2020 A positive linear operator $T$ between two unital $f$-algebras, with point separating order duals, $A$ and $B$ is called a Markov operator for which $% T\left( e_{1}\right) =e_{2}$ where $e_{1},e_{2}$ are the identities of $A$ and $B$ respectively. Let $A$ and $B$ be semiprime $f$-algebras with point separating order duals such that their second order ...
Hūlya DURU, Serkan İLTER
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Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media∗ [PDF]
, 2023 The paper deals with periodic homogenization problem for a para\-bo\-lic equation whose elliptic part is a convolution type operator with rapidly oscillating coefficients.
Piatnitski, Andrei, Zhizhina, Elena
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Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 2022 In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
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Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps [PDF]
, 2003 We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure.
Buzzi, Jérôme, Sarig, Omri
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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On rational Abel – Poisson means on a segment and approximations of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
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Operational Markov Condition for Quantum Processes [PDF]
Physical Review Letters, 2018 We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects.
Pollock, Felix A. +4 more
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Stabilisation for discrete‐time mean‐field stochastic Markov jump systems with multiple delays
IET Control Theory & Applications, 2023 In this paper, the operator spectrum theory is applied to study the general stabilisation issues for mean‐field stochastic Markov jump systems (MF‐SMJSs), where multiple delays, multiplicative noises and homogeneous Markov chain exist simultaneously. The
Jianying Di +3 more
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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.
Nakamura, Fumihiko +2 more
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How to differentiate a quantum stochastic cocycle. [PDF]
, 2010 Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed. The first concerns mapping cocycles on an operator space and demonstrates the role of H\"older continuity; the second concerns contraction operator ...
Lindsay, J Martin +2 more
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