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Prevalence Problem in the Set of Quadratic StochasticOperators Acting on L1
Department of Mathematics, Uppsala University, Uppsala, Sweden.ORCID iD: 0000-0002-5816-4345
Department of Probability and Biomathematics, Gdańsk University of Technology, Gdańsk, Poland.
2018 (English)In: Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, Vol. 41, no 1, p. 159-173Article in journal (Refereed) Published
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
Springer, 2018. Vol. 41, no 1, p. 159-173
Keywords [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:liu:diva-140856DOI: 10.1007/s40840-015-0245-7OAI: oai:DiVA.org:liu-140856DiVA, id: diva2:1141038
Funder
Swedish Institute, 00507/2012, 11142/2013, 19826/2014Available from: 2016-04-13 Created: 2017-09-13 Last updated: 2019-09-04Bibliographically approved

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CiteExportLink to record
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