### Abstract

We continue the analysis of the "conjugate" equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the "conjugate" equation to a statement which relates to a special case where the interacting particles constitute a "quasi"-one dimensional configuration.

Original language | English (US) |
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Pages (from-to) | 225-236 |

Number of pages | 12 |

Journal | Communications In Mathematical Physics |

Volume | 56 |

Issue number | 3 |

DOIs | |

Publication status | Published - Oct 1 1977 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics