Lower large deviations for geometric functionals in sparse, critical and dense regimes

zbMATH Open1540.60023MaRDI QIDQ6564562

Christian Hirsch, [[Person:6119928|Author name not available (Why is that?)]]

Publication date: 1 July 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

large deviationsrandom geometric graphsprinkling\(k\)-nearest neighbor graph

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Large deviations (60F10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Limit theorems for Betti numbers of random simplicial complexes
• Lower large deviations for geometric functionals
• On a sharp transition from area law to perimeter law in a system of random surfaces
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• Limit theorems for process-level Betti numbers for sparse and critical regimes
• Random Geometric Graphs
• Statistical Analysis and Modelling of Spatial Point Patterns
• Upper large deviations for power-weighted edge lengths in spatial random networks
• Large deviations for the volume of \(k\)-nearest neighbor balls
• Large deviation principle for geometric and topological functionals and associated point processes

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