Prevalence Problem in the Set of Quadratic StochasticOperators Acting on L1
2016 (English)In: Bulletin of the Malaysian Mathematical Sciences SocietyArticle in journal (Refereed) In press
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
Quadratic stochastic operators, Nonhomogeneous Markov operators, Baire category, Mixing nonlinear Markov process
Probability Theory and Statistics
Research subject Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-283630OAI: oai:DiVA.org:uu-283630DiVA: diva2:919435