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1 results

  • Moments of k-hop counts in the random-connection model

  • Part of
  • Nicolas Privault
  • Journal:
    Journal of Applied Probability / Volume 56 / Issue 4 / December 2019
    Published online by Cambridge University Press:
    11 December 2019, pp. 1106-1121
    Print publication:
    December 2019

  • We derive moment identities for the stochastic integrals of multiparameter processes in a random-connection model based on a point process admitting a Papangelou intensity. The identities are written using sums over partitions, and they reduce to sums over non-flat partition diagrams if the multiparameter processes vanish on diagonals. As an application, we obtain general identities for the moments of k-hop counts in the random-connection model, which simplify the derivations available in the literature.