3 papers
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…
math.ST2024
Estimating the hyperuniformity exponent of point processes
Gabriel Mastrilli, Bartłomiej Błaszczyszyn, Frédéric Lavancier
We address the challenge of estimating the hyperuniformity exponent of a spatial point process, given only one realization of it. Assuming that the structure factor of the…