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- W2950849211 abstract "In 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 $mu$ being defined on the set of all configurations which are given on a graph $G.$ We show that if $mu$ 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." @default.
- W2950849211 created "2019-06-27" @default.
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- W2950849211 date "2006-08-08" @default.
- W2950849211 modified "2023-10-01" @default.
- W2950849211 title "On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure" @default.
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