uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Asymptotic properties of quadratic stochastic operators acting on the L1 space
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
Gdansk University of Technology.
2015 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 114, 26-39 p.Article in journal (Refereed) Published
Abstract [en]

Quadratic stochastic operators can exhibit a wide variety of asymptotic behaviours andthese have been introduced and studied recently in the l1 space. It turns out that inprinciple most of the results can be carried over to the L1 space. However, due to topologicalproperties of this space one has to restrict in some situations to kernel quadratic stochasticoperators. In this article we study the uniform and strong asymptotic stability of quadratic stochastic operators acting on the L1 space in terms of convergence of the associated (linear)nonhomogeneous Markov chains.

Place, publisher, year, edition, pages
2015. Vol. 114, 26-39 p.
Keyword [en]
Quadratic stochastic operators, Nonhomogeneous Markov operators, Mixing nonlinear Markov process
National Category
Mathematical Analysis Probability Theory and Statistics
Research subject
URN: urn:nbn:se:uu:diva-241868DOI: 10.1016/j.na.2014.10.032ISI: 000348041700004OAI: oai:DiVA.org:uu-241868DiVA: diva2:781821
Swedish Institute

Svenska institutet supported this work through their √Ėstersj√∂samarbetet scholarship program.

Available from: 2015-01-19 Created: 2015-01-19 Last updated: 2015-03-09Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Bartoszek, Krzysztof
By organisation
Applied Mathematics and Statistics
In the same journal
Nonlinear Analysis
Mathematical AnalysisProbability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 413 hits
ReferencesLink to record
Permanent link

Direct link