Results 31 to 40 of about 1,483,088 (317)
Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]
, 2011 The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Nonlinear Markov semigroups and interacting Lévy type processes [PDF]
, 2007 Semigroups of positivity preserving linear operators on measures of a measurable space X describe the evolutions of probability distributions of Markov processes on X.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Ergodicity of p−majorizing nonlinear Markov operators on the finite dimensional space
Linear Algebra and its Applications, 2019 A nonlinear Markov chain is a discrete time stochastic process whose transitions may depend on both the current state and the current distribution of the process.
M. Saburov
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Small sets and Markov transition densities [PDF]
, 2002 The theory of general state-space Markov chains can be strongly related to the case of discrete state-space by use of the notion of small sets and associated minorization conditions. The general theory shows that small sets exist for all Markov chains on
Montana, Giovanni +2 more
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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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On non-linear Markov operators: surjectivity vs orthogonal preserving property [PDF]
, 2017 In the present paper, we consider non-linear Markov operators, namely polynomial stochastic operators. We introduce a notion of orthogonal preserving polynomial stochastic operators.
F. Mukhamedov, A. F. Embong
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Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 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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Markov Chains for Promotion Operators [PDF]
, 2014 17 pages, includes review of results of arXiv:1205 ...
Ayyer, Arvind +2 more
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Law of the iterated logarithm for some Markov operators [PDF]
Asymptotic Analysis, 2015 The law of the iterated logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model ...
S. Hille +3 more
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