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Convexity, Markov Operators, Approximation, and Related Optimization
Mathematics, 2022 The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
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Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises [PDF]
Scientific ReportsQuantum Bernoulli noises are the family of annihilation and creation operators on Bernoulli functionals, which satisfy a canonical anti-commutation relation in equal time.
Suling Ren, Lixia Zhang
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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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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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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 2023 In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
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Random Times for Markov Processes with Killing
Fractal and Fractional, 2021 We consider random time changes in Markov processes with killing potentials. We study how random time changes may be introduced in these Markov processes with killing potential and how these changes may influence their time behavior.
Yuri G. Kondratiev, José Luís da Silva
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Maximum principles for nonlocal parabolic Waldenfels operators [PDF]
Bulletin of Mathematical Sciences, 2019 As a class of Lévy type Markov generators, nonlocal Waldenfels operators appear naturally in the context of investigating stochastic dynamics under Lévy fluctuations and constructing Markov processes with boundary conditions (in particular the ...
Qiao Huang, Jinqiao Duan, Jiang-Lun Wu
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Approximation of Space-Time Fractional Equations
Fractal and Fractional, 2021 The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time.
Raffaela Capitanelli, Mirko D’Ovidio
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Mathematics, 2021 In this paper, we propose a family of indistinguishability operators, that we have called Yager Possibilitic Response Functions (YPRFs for short), as an appropriate tool for allocating tasks to a collective of agents. In order to select the best agent to
Maria-del-Mar Bibiloni-Femenias +3 more
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