Poisson point processes: Large deviation inequalities for the convex\n distance

2013/06/04 by Matthias Reitzner, Reitzner, Matthias
Mathematics · #60E15 #FOS: Mathematics #Point processes and geometric inequalities #Probability (math.PR) #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.1306.0693

openalex publication_date 2013/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An analogue of Talagrand's convex distance for binomial and Poisson point\nprocesses is defined. A corresponding large deviation inequality is proved.\n

Related

• Large deviations for the volume of k-nearest neighbor balls
• Large deviations of Poisson cluster processes
• Gaussian polytopes: a cumulant-based approach
• Large deviations for hyperbolic k-nearest neighbor balls
• Concentration and moderate deviations for Poisson polytopes and\n polyhedra