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

DOI10.1007/s11222-023-10219-1zbMath1517.62022arXiv2203.08749MaRDI QIDQ6172917

Rémi Bardenet, Diala Hawat, Raphael Lachieze-Rey, Guillaume Gautier

Publication date: 20 July 2023

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08749

zbMATH Keywords

structure factormultitaperinghyperuniformity testmultiscale debiasingPython toolbox

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Fourier analysis and stochastic processes
• Irregularities of distribution. I
• Long range dependence of point processes, with queueing examples
• Hyperuniform states of matter
• Monte Carlo integration of non-differentiable functions on \([0,1^\iota\), \(\iota =1,\ldots, d\), using a single determinantal point pattern defined on \([0,1]^d\)]
• Monte Carlo with determinantal point processes
• A numerical integration formula based on the Bessel functions
• Unbiased Estimation with Square Root Convergence for SDE Models
• Variance analysis for Monte Carlo integration
• Stochastic Processes and Long Range Dependence
• A general central limit theorem and a subsampling variance estimator for α‐mixing point processes
• An Introduction to Random Matrices
• A nonparametric estimator for pairwise-interaction point processes
• Bessel Functions: Monotonicity and Bounds
• Hyperuniform and rigid stable matchings
• Spectral Analysis for Univariate Time Series
• The spectral analysis of two-dimensional point processes