WFRF:(Pulka Malgorzata)
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- Bartoszek, Krzysztof,1984-Uppsala universitet,Tillämpad matematik och statistik,Analys och sannolikhetsteori,Department of Mathematics, Uppsala University, Uppsala, Sweden (author)
Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on L1
- Article/chapterEnglish2018
Publisher, publication year, extent ...
- 2015-11-05
- Springer Science and Business Media LLC,2018
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:uu-283630
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-283630URI
- https://doi.org/10.1007/s40840-015-0245-7DOI
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-140856URI
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- Language:English
- Summary in:English
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Notes
- This paper is devoted to the study of the problem of prevalence in the classof quadratic stochastic operators acting on the L1 space for the uniform topology.We obtain that the set of norm quasi-mixing quadratic stochastic operators is a denseand open set in the topology induced by a very natural metric. This shows the typicallong-term behaviour of iterates of quadratic stochastic operators.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- Quadratic stochastic operators
- Nonhomogeneous Markov operators
- Baire category
- Mixing nonlinear Markov process
- Mathematics
- Matematik
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- Pułka, Małgorzata,1983-Department of Probability and Biomathematics, Gdańsk University of Technology, Gdańsk, Poland (author)
- Uppsala universitetTillämpad matematik och statistik (creator_code:org_t)
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- In:Bulletin of the Malaysian Mathematical Sciences Society: Springer Science and Business Media LLC41:1, s. 159-1730126-67052180-4206
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