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

Nicolas Privault

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arXiv · 1904.09716

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

Nicolas Privault

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Abstract

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. Those identities are written using sums over partitions, and they reduce to sums over non-flat partition diagrams in case 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.

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Nicolas Privault. 2019-04-22. Moments of $k$-hop counts in the random-connection model. https://arxiv.org/abs/1904.09716

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