3 papers
math.PR2025
Gaussian fluctuations of generalized -statistics and subgraph counting in the binomial random-connection model
Qingwei Liu, Nicolas Privault
We derive normal approximation bounds for generalized -statistics of the form \begin{equation*} S_{n,k}(f):=\sum_{ 1 \leq β(1),\dots,β(k) \leq n \atop β(i)\neβ(j), \ 1\leq i…
math.PR2025
Normal to Poisson phase transition for subgraph counting in the random-connection model
Qingwei Liu, Nicolas Privault
We consider the limiting behavior of the count of subgraphs isomorphic to a graph with fixed endpoints (or roots) in the random-connection model, as the intensity $λ…
math.PR2025
Normal approximation of subgraph counts in the random-connection model
Qingwei Liu, Nicolas Privault
This paper derives normal approximation results for subgraph counts written as multiparameter stochastic integrals in a random-connection model based on a Poisson point process. By…