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Asymptotic properti...
Asymptotic properties of quadratic stochastic operators acting on the L1 space
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- Bartoszek, Krzysztof, 1984- (författare)
- Uppsala universitet,Tillämpad matematik och statistik,Department of Mathematics, Uppsala University, Uppsala, Sweden
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- Pulka, Malgorzta, 1983- (författare)
- Department of Probability and Biomathematics, Gdańsk University of Technology, Gdańsk, Poland
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(creator_code:org_t)
- Elsevier BV, 2015
- 2015
- Engelska.
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Ingår i: Nonlinear Analysis. - : Elsevier BV. - 0362-546X .- 1873-5215. ; 114, s. 26-39
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- Quadratic stochastic operators can exhibit a wide variety of asymptotic behaviours andthese have been introduced and studied recently in the l1 space. It turns out that inprinciple most of the results can be carried over to the L1 space. However, due to topologicalproperties of this space one has to restrict in some situations to kernel quadratic stochasticoperators. In this article we study the uniform and strong asymptotic stability of quadratic stochastic operators acting on the L1 space in terms of convergence of the associated (linear)nonhomogeneous Markov chains.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Quadratic stochastic operators
- Nonhomogeneous Markov operators
- Mixing nonlinear Markov process
- Mathematics
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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