Orateur : Gabriel Mastrilli
Établissement : ENSAI (France)
Dates : 2025-02-20 – 2025-02-20
Heures : 14:00 – 14:00
Lieu : Salle 0-3
Résumé :
Hyperuniform point processes are characterized by reduced fluctuations compared to Poisson processes, with the variance of points in large spatial domains growing more slowly than the volume of the domain. Originally studied in statistical physics, hyperuniformity has found applications in both theoretical and applied fields. A key feature of hyperuniformity is the structure factor S, related to Bartlett’s spectral measure, which often follows a power-law behavior near zero. The exponent of this power law, known as the hyperuniformity exponent, quantifies the degree of hyperuniformity. In this presentation, we introduce an estimator of the hyperuniformity exponent, analyze its asymptotic properties, and discuss strategies for estimations using a single realization of the point process.