On the perimeter of excursion sets of shot noise random fields

DOI10.1214/14-AOP980zbMath1343.60060OpenAlexW4299370741MaRDI QIDQ272967

Agnès Desolneux, Hermine Biermé

Publication date: 21 April 2016

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1454423048

zbMATH Keywords

characteristic functionPoisson processstationary processfunctions of bounded variationcoarea formulaexcursion setsshot noise random fields

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Random fields (60G60) Stationary stochastic processes (60G10) Strong limit theorems (60F15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (10)

Percolation of the excursion sets of planar symmetric shot noise fields ⋮ Mean geometry for 2D random fields: level perimeter and level total curvature integrals ⋮ On the excursion area of perturbed Gaussian fields ⋮ On the finiteness of the moments of the measure of level sets of random fields ⋮ Statistical inference on stationary shot noise random fields ⋮ Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields ⋮ Redundancy in Gaussian random fields ⋮ Normal convergence of nonlocalised geometric functionals and shot-noise excursions ⋮ Scaling limits for a random boxes model ⋮ The effect of discretization on the mean geometry of a 2D random field

Cites Work

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