Lower large deviations for geometric functionals

DOI10.1214/20-ECP322zbMath1453.60156arXiv1910.05993MaRDI QIDQ782832

András Tóbiás, Christian Hirsch, Benedikt Jahnel

Publication date: 29 July 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05993

zbMATH Keywords

large deviationsVoronoi tessellationrandom geometric graphrelative neighborhood graph\(k\)-nearest neighbor graphclique countlower tailsstabilizing functionals

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Related Items (2)

Upper large deviations for power-weighted edge lengths in spatial random networks ⋮ Large deviations for the volume of \(k\)-nearest neighbor balls

Cites Work

• Unnamed Item
• On a sharp transition from area law to perimeter law in a system of random surfaces
• Large deviations and the maximum entropy principle for marked point random fields
• Localization in random geometric graphs with too many edges
• Moderate deviations for stabilizing functionals in geometric probability
• Large deviations for functionals of spatial point processes with applications to random packing and spatial graphs
• Gaussian limits for random geometric measures
• The lower tail: Poisson approximation revisited
• The missing log in large deviations for triangle counts
• Stochastic and Integral Geometry
• Poisson approximation for large deviations
• Geometric and Topological Inference
• Large deviation principles for Euclidean functionals and other nearly additive processes

This page was built for publication: Lower large deviations for geometric functionals