stochastic operator
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2021 ◽  
Vol 42 (12) ◽  
pp. 2800-2807
Author(s):  
U. U. Jamilov ◽  
K. A. Kurganov
Keyword(s):  


2020 ◽  
Vol 16 (3) ◽  
pp. 281-285
Author(s):  
Siti Nurlaili Karim ◽  
Nur Zatul Akmar Hamzah ◽  
Nasir Ganikhodjaev

In this research, we construct a class of quadratic stochastic operator called Geometric quadratic stochastic operator generated by arbitrary 2-partition  of infinite points on a countable state space , where . We also study the limiting behavior of such operator by proving the existence of the limit of the sequence  through the convergence of the trajectory to a unique fixed point. It is established that such operator is a regular transformation.



2020 ◽  
Vol 36 (36) ◽  
pp. 134-142
Author(s):  
Marek Niezgoda

In this note, the Lieb function $(A,B) \to \Phi (A,B) = \tr \exp ( A + \log B )$ for an Hermitian matrix $A$ and a positive definite matrix $B$ is studied. It is shown that $\Phi$ satisfies a majorization property of Sherman type induced by a doubly stochastic operator. The variant for commuting matrices is also considered. An interpretation is given for the case of the orthoprojection operator onto the space of block diagonal matrices.





2019 ◽  
Vol 60 (10) ◽  
pp. 103508
Author(s):  
Seyed Mahmoud Manjegani ◽  
Shirin Moein


2019 ◽  
Vol 18 (3) ◽  
pp. 1013-1029
Author(s):  
A. J. M. Hardin ◽  
U. A. Rozikov


2019 ◽  
Author(s):  
Farrukh Mukhamedov ◽  
Chin Hee Pah ◽  
Azizi Rosli




2018 ◽  
Vol 6 (2) ◽  
pp. 457-496 ◽  
Author(s):  
Rebecca E. Morrison ◽  
Todd A. Oliver ◽  
Robert D. Moser


2017 ◽  
Vol 80 (2) ◽  
pp. 319-334 ◽  
Author(s):  
U. U. Jamilov ◽  
A. Yu. Khamraev ◽  
M. Ladra
Keyword(s):  


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