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

Published online by Cambridge University Press:  14 July 2016

Yoshiaki Itoh
Yoshiaki Itoh*
Affiliation:
Institute of Statistical Mathematics, Tokyo
*
∗ Postal address: The Institute of Statistical Mathematics, 4–6–7 Minami-Azabu Minato-ku, Tokyo 106, Japan.
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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.

Keywords

INVARIANT INTEGRALSCENTRAL SYMMETRIC DENSITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 898 - 900
Copyright
Copyright © Applied Probability Trust 1989 

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