Back to Search
Start Over
On Non-Volterra Quadratic Stochastic Operators Generated by a Product Measure.
- Source :
-
Stochastic Analysis & Applications . Mar/Apr2009, Vol. 27 Issue 2, p353-362. 10p. - Publication Year :
- 2009
-
Abstract
- In this article, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07362994
- Volume :
- 27
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Stochastic Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36623938
- Full Text :
- https://doi.org/10.1080/07362990802678994