1 citations · 1 across the 6 of their papers we have counts for
3 papers · 2 filters
Large deviations for sparse systems of moving particles
Cairui Duan, Paula de Dios Andres, Manish Pandey +3
We study large deviations for rare clusters in sparse systems of moving particles. In the regime \(nr_n^d\to0\) and \(ρ_{k,n}=n^kr_n^{d(k-1)}\to\infty\), we prove a large deviation…
Central limit theorem for linear eigenvalue statistics of random geometric graphs
Christian Hirsch, Kyeongsik Nam, Moritz Otto
Random spatial networks-that is, graphs whose connectivity is governed by geometric proximity-have emerged as fundamental models for systems constrained by an underlying spatial st…
Normal and Poisson approximation for Gibbs point processes with pair potentials
Christian Hirsch, Moritz Otto, Anne Marie Svane
We provide a Poisson approximation result for dependent thinnings of Gibbs point processes as well as qualitative and quantitative central limit theorems for geometric functionals…