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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Itoh, Yoshiaki 2009. A combinatorial method for the vanishing of the Poisson brackets of an integrable Lotka–Volterra system. Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue. 2, p. 025201.
    Itoh, Yoshiaki Maehara, Hiroshi and Tokushige, Norihide 2000. Oriented graphs generated by random points on a circle. Journal of Applied Probability, Vol. 37, Issue. 02, p. 534.
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A certain configuration of random points on a circle associated with a generalized Lotka-Volterra equation

  • Yoshiaki Itoh (a1)
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.

Copyright
COPYRIGHT: © Applied Probability Trust 1989 
Corresponding author
∗ Postal address: The Institute of Statistical Mathematics, 4–6–7 Minami-Azabu Minato-ku, Tokyo 106, Japan.
References
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
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