A certain configuration of random points on a circle associated with generalized Lotka-Volterra equation

A certain configuration of random points on a circle associated with generalized Lotka-Volterra equation

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Article ID: iaor1990677
Country: Israel
Volume: 26
Issue: 4
Start Page Number: 1
End Page Number: 7
Publication Date: Dec 1989
Journal: Journal of Applied Probability
Authors:
Abstract:

Invariant integrals of a Lotka-Volterra system with infinitely many species are introduced. The values of these integrals are given by the probabilities of certain configurations of random points on a circle when the probability density on the circle satisfies a certain symmetry condition.

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