On Dissipative Quadratic Stochastic Operators
Functional Analysis
2007-08-15 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0708.1813,
title = {On Dissipative Quadratic Stochastic Operators},
author = {Farruh Shahidi},
journal= {arXiv preprint arXiv:0708.1813},
year = {2007}
}
Comments
10 pages