Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on L1

• 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

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Quadratic stochastic operators

Nonhomogeneous Markov operators

Baire category

Mixing nonlinear Markov process

Mathematics

Matematik

Publication and Content Type

ref (subject category)

art (subject category)