Non-hyperuniformity of Gibbs point processes with short-range interactions

• Published in: Journal of applied probability Vol. 61; no. 4; pp. 1380 - 1406
• Main Authors: Dereudre, David, Flimmel, Daniela
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.12.2024
• Subjects: Original Article; local energy; 60D05; Widom–Rowlinson model; 60G55; Voronoi tessellation; density fluctuation; Papangelou intensity; GNZ equation; marked point process; 82B21; 60K35; nearest-neighbour graph

We investigate the hyperuniformity of marked Gibbs point processes that have weak dependencies among distant points whilst the interactions of close points are kept arbitrary. Various stability and range assumptions are imposed on the Papangelou intensity in order to prove that the resulting point p...