scholarly journals Construction of some quantum stochastic operator cocycles by the semigroup method

2006 ◽  
Vol 116 (4) ◽  
pp. 519-529 ◽  
Author(s):  
J. Martin Lindsay ◽  
Stephen J. Wills
Keyword(s):  
Stochastic Operator ◽  
Semigroup Method

On a Volterra Cubic Stochastic Operator

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

On a Non-Volterra Cubic Stochastic Operator

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

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.

scholarly journals A note on the entropy of a doubly stochastic operator

2000 ◽  
Vol 84 (1) ◽  
pp. 245-254 ◽  
Author(s):  
Brunon Kamiński ◽  
José de Sam Lazaro
Keyword(s):  
Doubly Stochastic ◽  
Stochastic Operator ◽  
Doubly Stochastic Operator
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