A certain configuration of random points on a circle associated with a generalized Lotka-Volterra equation-Reference-Cited by-同舟云学术

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

Published:1989-12 Issue:4 Volume:26 Page:898-900
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Itoh Yoshiaki

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference11 articles.

1. Explicit formulae for polygonally generated shape-densities in the basic tile

2. Integrals of a Lotka-Volterra System of Odd Number of Variables

3. Random collision models in oriented graphs

4. An $H$-theorem for a system of competing species

5. On a ruin problem with interaction

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