Cumulant method for weighted random connection models

Nils Heerten; Christian Hirsch; Moritz Otto

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arXiv · 2311.00600

Cumulant method for weighted random connection models

Nils Heerten·Christian Hirsch·Moritz Otto

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Abstract

In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This involves dealing with long-range spatial correlations induced by the profile function and the weight distribution. We start by deriving the bounds for the classical case of a Poisson vertex set, and then provide extensions to $\alpha$-determinantal processes.

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Nils Heerten, Christian Hirsch, Moritz Otto. 2023-11-01. Cumulant method for weighted random connection models. https://arxiv.org/abs/2311.00600

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