On mixing of Markov measures associated with b-bistochastic QSOs

Farrukh Mukhamedov, Ahmad Fadillah Embong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

New majorization is in advantage as compared to the classical one since it can be defined as a partial order on sequences. We call it as b-order. Further, the defined order is used to establish a bistochasticity of nonlinear operators in which, in this study is restricted to the simplest case of nonlinear operators i.e quadratic operators. The discussions in this paper are based on bistochasticity of Quadratic Stochastic Operators (QSO) with respect to the b-order. In short, such operators are called b-bistochastic QSO. The main objectives in this paper are to show the construction of non-homogeneous Markov measures associated with QSO and to show the defined measures associated with the classes of b-bistochastic QSOs meet the mixing property.

Original languageEnglish
Title of host publicationInnovations Through Mathematical and Statistical Research
Subtitle of host publicationProceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016
EditorsSiti Nur Iqmal Ibrahim, Lai Soon Lee, Md. Sohel Rana, Fong Peng Lim, Mai Zurwatul Ahlam Mohd Jaffar, Mohd Shafie Mustafa, Chuei Yee Chen
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735413962
DOIs
Publication statusPublished - Jun 2 2016
Externally publishedYes
Event2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016 - Kuala Lumpur, Malaysia
Duration: Jan 26 2016Jan 28 2016

Publication series

NameAIP Conference Proceedings
Volume1739
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016
Country/TerritoryMalaysia
CityKuala Lumpur
Period1/26/161/28/16

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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