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

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

2006-08-08

arxiv.org/abs/math/0608201v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248240