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

Part of: Stochastic processes

Published online by Cambridge University Press:  11 December 2019

Nicolas Privault
Nicolas Privault*
Affiliation:
Nanyang Technological University
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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. 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.

Keywords

Point processmomentsrandom-connection modelrandom graphk-hop

MSC classification

Primary: 60G57: Random measures
Secondary: 60G55: Point processes
Type
Research Papers
Information
Journal of Applied Probability , Volume 56 , Issue 4 , December 2019 , pp. 1106 - 1121
Copyright
© Applied Probability Trust 2019 

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