Non-hyperuniformity of Gibbs point processes with short-range interactions
DOI10.1017/jpr.2024.21MaRDI QIDQ6639536
Daniela Flimmel, David Dereudre
Publication date: 15 November 2024
Published in: Journal of Applied Probability (Search for Journal in Brave)
Voronoi tessellationWidom-Rowlinson modellocal energyGibbs point processesdensity fluctuationnearest-neighbour graphPapangelou intensityGNZ equation
Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
- Unnamed Item
- Unnamed Item
- Limit theorems for geometric functionals of Gibbs point processes
- Existence of Gibbsian point processes with geometry-dependent interactions
- Hyperuniform states of matter
- Central limit theorems for some graphs in computational geometry.
- Rigidity of the three-dimensional hierarchical Coulomb gas
- Limit theory for geometric statistics of point processes having fast decay of correlations
- Laws of large numbers in stochastic geometry with statistical applications
- Superstable interactions in classical statistical mechanics
- Normal approximation for statistics of Gibbsian input in geometric probability
- Stochastic and Integral Geometry
- The existence of quermass-interaction processes for nonlocally stable interaction and nonbounded convex grains
- Stochastic comparison of point random fields
- Random Geometric Graphs
- Asymptotic statistics of then-sided planar Poisson–Voronoi cell: I. Exact results
- Existence of Gibbs point processes with stable infinite range interaction
- Decorrelation of a class of Gibbs particle processes and asymptotic properties of U-statistics
- An Introduction to the Theory of Point Processes
- On estimating the structure factor of a point process, with applications to hyperuniformity
- Hyperuniformity and non-hyperuniformity of quasicrystals
This page was built for publication: Non-hyperuniformity of Gibbs point processes with short-range interactions