On homotopy of volterrian quadratic stochastic operators

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In the present paper we introduce a notion of homotopy of two Volterra operators which is related to fixed points of such operators. It is establish a criterion when two Volterra operators are homotopic, as a consequence we obtain that the corresponding tournaments of that operators are the same. This, due to \cite{Ga1}, gives us a possibility to know some information about the trajectory of homotopic Volterra operators. Moreover, it is shown that any Volterra q.s.o. given on a face has at least two homotopic extension to the whole simplex.
12 pages

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Dynamical Systems, Functional Analysis, 15A51, 47H60, 46T05, 92B99

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http://salesiana.dossiersoluciones.com/handle/123456789/144450

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2891
 http://arxiv.org/abs/0712.2891

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arXiv