3 papers
stat.ME2026
Repelled point processes with application to numerical integration
Diala Hawat, Gabriel Mastrilli, Rémi Bardenet +1
We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point…
math.ST2025
Minimax estimation of the structure factor of spatial point processes
Gabriel Mastrilli
We investigate the problem of estimating the structure factor, or spectra, of stationary spatial point processes. In the first part, we establish a minimax lower bound for this est…
math.PR2025
Asymptotic fluctuations of smooth linear statistics of independently perturbed lattices
Gabriel Mastrilli
We consider the hyperuniform model of d-dimensional integer lattice perturbed by independent random variables and we investigate the large scale asymptotic fluctuations of smoothed…