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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.ST2024
Estimating the hyperuniformity exponent of point processes
Gabriel Mastrilli, BartÅomiej BÅaszczyszyn, 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…