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Prevalence Problem in the Set of Quadratic StochasticOperators Acting on L1
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
Gdansk University of Technology.
2016 (English)In: Bulletin of the Malaysian Mathematical Sciences SocietyArticle in journal (Refereed) In press
Abstract [en]

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.

Place, publisher, year, edition, pages
2016.
Keyword [en]
Quadratic stochastic operators, Nonhomogeneous Markov operators, Baire category, Mixing nonlinear Markov process
National Category
Probability Theory and Statistics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-283630OAI: oai:DiVA.org:uu-283630DiVA: diva2:919435
Funder
Swedish Institute
Available from: 2016-04-13 Created: 2016-04-13 Last updated: 2016-04-13

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Bartoszek, Krzysztof

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