# On estimating the structure factor of a point process, with applications to hyperuniformity

@inproceedings{Hawat2022OnET, title={On estimating the structure factor of a point process, with applications to hyperuniformity}, author={Diala Hawat and Guillaume Gautier and R{\'e}mi Bardenet and Raphael Lachi{\`e}ze-Rey}, year={2022} }

Hyperuniformity is the study of stationary point processes with a sub-Poisson variance in a large window. In other words, counting the points of a hyperuniform point process that fall in a given large region yields a small-variance Monte Carlo estimation of the volume. Hyperuniform point processes have received a lot of attention in statistical physics, both for the investigation of natural organized structures and the synthesis of materials. Unfortunately, rigorously proving that a point…

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