Disagreement coupling of Gibbs processes with an application to Poisson approximation

DOI10.1214/22-aap1916arXiv2104.00737OpenAlexW3148947373MaRDI QIDQ6187487

Günter Last, Moritz Otto

Publication date: 15 January 2024

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.00737

zbMATH Keywords

Poisson approximationGibbs processPoisson embeddingPoisson thinningPapangelou intensitydisagreement couplingempty space probabilities

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Limit theorems for geometric functionals of Gibbs point processes
• Insertion and deletion tolerance of point processes
• Existence of Gibbsian point processes with geometry-dependent interactions
• Infinite volume continuum random cluster model
• Distance estimates for dependent thinnings of point processes with densities
• Stein's method and point process approximation
• Disagreement percolation in the study of Markov fields
• Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on \(\mathbb{R}^{d}\)
• Phase transition in continuum Potts models
• Disagreement percolation for the hard-sphere model
• Disagreement percolation for Gibbs ball models
• Superstable interactions in classical statistical mechanics
• Stability of nonlinear Hawkes processes
• Conditional intensity and Gibbsianness of determinantal point processes
• Poisson process approximation under stabilization and Palm coupling
• Random Measures, Theory and Applications
• Bemerkungen zu einer Arbeit von NGUYEN XUAN XANH und HANS ZESSIN
• The existence of quermass-interaction processes for nonlocally stable interaction and nonbounded convex grains
• Integral and Differential Characterizations of the GIBBS Process
• Stochastic comparison of point random fields
• Continuum Percolation
• Existence of Gibbs point processes with stable infinite range interaction
• Decorrelation of a class of Gibbs particle processes and asymptotic properties of U-statistics
• Cluster Expansions for GIBBS Point Processes
• On Comparison of Clustering Properties of Point Processes
• Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees

This page was built for publication: Disagreement coupling of Gibbs processes with an application to Poisson approximation