On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure

Simple item page
dc.creatorRozikov, U. A.
dc.creatorShamsiddinov, N. B.
dc.date2006-08-08
dc.date.accessioned2026-07-07T07:21:32Z
dc.date.available2026-07-07T07:21:32Z
dc.descriptionIn this paper we describe a wide class of non-Volterra quadratic stochastic operators using N. Ganikhadjaev's construction of quadratic stochastic operators. By the construction these operators depend on a probability measure $μ$ being defined on the set of all configurations which are given on a graph $G.$ We show that if $μ$ is the product of probability measures being defined on each maximal connected subgraphs of $G$ then corresponding non-Volterra operator can be reduced to $m$ number (where $m$ is the number of maximal connected subgraphs of $G$) of Volterra operators defined on the maximal connected subgraphs. Our result allows to study a wide class of non-Volterra operators in the framework of the well known theory of Volterra quadratic stochastic operators.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0608201
dc.identifierhttp://arxiv.org/abs/math/0608201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115331
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.subject37XX
dc.titleOn Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure
dc.typetext

Files

Collections

arXiv