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

Krzysztof Bartoszek; Małgorzata Pułka

doi:10.1007/s40840-015-0245-7

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

Abstract

This paper is devoted to the study of the problem of prevalence in the class of 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 dense and open set in the topology induced by a very natural metric. This shows the typical long-term behaviour of iterates of quadratic stochastic operators.

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Authors (2)

Krzysztof Bartoszek
- Uppsala University, Sweden Department of Mathematics
Małgorzata Pułka dr inż.

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: Bulletin of the Malaysian Mathematical Sciences Society no. 41, pages 159 - 173,
ISSN: 0126-6705
Language:: English
Publication year:: 2018
Bibliographic description:: Bartoszek K., Pułka M.: Prevalence Problem in the Set of Quadratic Stochastic Operators Acting on L1// Bulletin of the Malaysian Mathematical Sciences Society. -Vol. 41, nr. 1 (2018), s.159-173
DOI:: Digital Object Identifier (open in new tab) 10.1007/s40840-015-0245-7
Verified by:: Gdańsk University of Technology