An ergodic principle for quadratic stochastic operators

1989 ◽  
pp. 133-138
Author(s):  
T. A. Sarymsakov ◽  
R. N. Ganikhodzhaev
Keyword(s):  
Quadratic Stochastic Operators

scholarly journals Projective surjectivity of quadratic stochastic operators on L1 and its application

2021 ◽  
Vol 148 ◽  
pp. 111034
Author(s):  
Farrukh Mukhamedov ◽  
O. Khakimov ◽  
A. Fadillah Embong
Keyword(s):  
Quadratic Stochastic Operators

scholarly journals On (3,3)-Gaussian Quadratic Stochastic Operators

2017 ◽  
Vol 819 ◽  
pp. 012007 ◽  
Author(s):  
Nasir Ganikhodjaev ◽  
Nur Zatul Akmar Hamzah
Keyword(s):  
Quadratic Stochastic Operators

scholarly journals F-quadratic stochastic operators

2008 ◽  
Vol 83 (3-4) ◽  
pp. 554-559 ◽  
Author(s):  
U. A. Rozikov ◽  
U. U. Zhamilov
Keyword(s):  
Quadratic Stochastic Operators

On mixing in the class of quadratic stochastic operators

2013 ◽  
Vol 86 ◽  
pp. 95-113 ◽  
Author(s):  
Wojciech Bartoszek ◽  
Małgorzata Pułka
Keyword(s):  
Quadratic Stochastic Operators

ON DYNAMICS OF ℓ-VOLTERRA QUADRATIC STOCHASTIC OPERATORS

2010 ◽  
Vol 03 (02) ◽  
pp. 143-159 ◽  
Author(s):  
U. A. ROZIKOV ◽  
A. ZADA
Keyword(s):  
Volterra Operator ◽  
Periodic Points ◽  
Dimensional Simplex ◽  
Quadratic Stochastic Operator ◽  
Stochastic Operator ◽  
Volterra Operators ◽  
Quadratic Stochastic Operators

We introduce a notion of ℓ-Volterra quadratic stochastic operator defined on (m - 1)-dimensional simplex, where ℓ ∈ {0,1,…, m}. The ℓ-Volterra operator is a Volterra operator if and only if ℓ = m. We study structure of the set of all ℓ-Volterra operators and describe their several fixed and periodic points. For m = 2 and 3, we describe behavior of trajectories of (m - 1)-Volterra operators. The paper also contains many remarks with comparisons of ℓ-Volterra operators and Volterra ones.

Sign in / Sign up

Export Citation Format

Share Document