The palm measure and the Voronoi tessellation for the Ginibre process

DOI10.1214/09-AAP620zbMath1197.60047arXivmath/0610243MaRDI QIDQ2268723

André Goldman

Publication date: 8 March 2010

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

Full work available at URL: https://arxiv.org/abs/math/0610243

zbMATH Keywords

Palm measurestochastic dominationdeterminantal processGinibre processVoronoi tessellation.

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)

Related Items (17)

A note related to the CS decomposition and the BK inequality for discrete determinantal processes ⋮ Cellular Networks with $$\alpha $$-Ginibre Configurated Base Stations ⋮ Reach of repulsion for determinantal point processes in high dimensions ⋮ Testing goodness of fit for point processes via topological data analysis ⋮ Noncolliding system of continuous-time random walks ⋮ Determinantal processes and completeness of random exponentials: the critical case ⋮ On simulation of continuous determinantal point processes ⋮ Around the circular law ⋮ Optimal transport between determinantal point processes and application to fast simulation ⋮ Concentration of Lipschitz Functionals of Determinantal and Other Strong Rayleigh Measures ⋮ Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models ⋮ Kernels of conditional determinantal measures and the Lyons-Peres completeness conjecture ⋮ Large deviations of the interference in the Ginibre network model ⋮ Rigidity hierarchy in random point fields: random polynomials and determinantal processes ⋮ Distributional lattices on Riemannian symmetric spaces ⋮ Palm theory, random measures and Stein couplings ⋮ Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness

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