On mixing of Markov measures associated with b-bistochastic QSOs

Farrukh Mukhamedov; Ahmad Fadillah Embong

doi:10.1063/1.4952570

On mixing of Markov measures associated with b-bistochastic QSOs

Farrukh Mukhamedov, Ahmad Fadillah Embong

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (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 language	English
Title of host publication	Innovations Through Mathematical and Statistical Research
Subtitle of host publication	Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016
Editors	Siti Nur Iqmal Ibrahim, Lai Soon Lee, Md. Sohel Rana, Fong Peng Lim, Mai Zurwatul Ahlam Mohd Jaffar, Mohd Shafie Mustafa, Chuei Yee Chen
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735413962
DOIs	https://doi.org/10.1063/1.4952570
Publication status	Published - Jun 2 2016
Externally published	Yes
Event	2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016 - Kuala Lumpur, Malaysia Duration: Jan 26 2016 → Jan 28 2016

Publication series

Name	AIP Conference Proceedings
Volume	1739
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016
Country/Territory	Malaysia
City	Kuala Lumpur
Period	1/26/16 → 1/28/16

ASJC Scopus subject areas

General Physics and Astronomy

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10.1063/1.4952570

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Mukhamedov, F., & Embong, A. F. (2016). On mixing of Markov measures associated with b-bistochastic QSOs. In S. N. I. Ibrahim, L. S. Lee, M. S. Rana, F. P. Lim, M. Z. A. Mohd Jaffar, M. S. Mustafa, & C. Y. Chen (Eds.), Innovations Through Mathematical and Statistical Research: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016 Article 020090 (AIP Conference Proceedings; Vol. 1739). American Institute of Physics Inc.. https://doi.org/10.1063/1.4952570

On mixing of Markov measures associated with b-bistochastic QSOs. / Mukhamedov, Farrukh; Embong, Ahmad Fadillah.
Innovations Through Mathematical and Statistical Research: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016. ed. / Siti Nur Iqmal Ibrahim; Lai Soon Lee; Md. Sohel Rana; Fong Peng Lim; Mai Zurwatul Ahlam Mohd Jaffar; Mohd Shafie Mustafa; Chuei Yee Chen. American Institute of Physics Inc., 2016. 020090 (AIP Conference Proceedings; Vol. 1739).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Mukhamedov, F & Embong, AF 2016, On mixing of Markov measures associated with b-bistochastic QSOs. in SNI Ibrahim, LS Lee, MS Rana, FP Lim, MZA Mohd Jaffar, MS Mustafa & CY Chen (eds), Innovations Through Mathematical and Statistical Research: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016., 020090, AIP Conference Proceedings, vol. 1739, American Institute of Physics Inc., 2nd International Conference on Mathematical Sciences and Statistics: Innovations Through Mathematical and Statistical Research, ICMSS 2016, Kuala Lumpur, Malaysia, 1/26/16. https://doi.org/10.1063/1.4952570

Mukhamedov F, Embong AF. On mixing of Markov measures associated with b-bistochastic QSOs. In Ibrahim SNI, Lee LS, Rana MS, Lim FP, Mohd Jaffar MZA, Mustafa MS, Chen CY, editors, Innovations Through Mathematical and Statistical Research: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016. American Institute of Physics Inc. 2016. 020090. (AIP Conference Proceedings). doi: 10.1063/1.4952570

Mukhamedov, Farrukh ; Embong, Ahmad Fadillah. / On mixing of Markov measures associated with b-bistochastic QSOs. Innovations Through Mathematical and Statistical Research: Proceedings of the 2nd International Conference on Mathematical Sciences and Statistics, ICMSS 2016. editor / Siti Nur Iqmal Ibrahim ; Lai Soon Lee ; Md. Sohel Rana ; Fong Peng Lim ; Mai Zurwatul Ahlam Mohd Jaffar ; Mohd Shafie Mustafa ; Chuei Yee Chen. American Institute of Physics Inc., 2016. (AIP Conference Proceedings).

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On mixing of Markov measures associated with b-bistochastic QSOs

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