On Dissipative Quadratic Stochastic Operators

Details On Dissipative Quadratic Stochastic Operators On Dissipative Quadratic Stochastic Operators

2007-08-14

arxiv.org/abs/0708.1813v1

Mathematics

Functional Analysis

10 pages

Scientific paper

In present paper we introduce the notion of dissipative quadratic stochastic
operator and cubic stochastic operator. We prove necessary conditions for
dissipativity of quadratic stochastic operators. Besides, it is studied certain
limit behavior of such operators. Finally we prove ergodic theorem for
dissipative operators.

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