Local maxima of Gaussian fields

DOI10.1007/BF02384809zbMath0251.60031MaRDI QIDQ2557073

Georg Lindgren

Publication date: 1972

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Sample path properties (60G17) Limit theorems in probability theory (60F99)

Related Items

Large deviations principle for the cubic NLS equation ⋮ Local repulsion of planar Gaussian critical points ⋮ Euler characteristics of oceanic sea states ⋮ Weakly nonlinear statistics of high random waves ⋮ Rogue waves in oceanic turbulence ⋮ Nonlinear Schrödinger invariants and wave statistics ⋮ Expected number and height distribution of critical points of smooth isotropic Gaussian random fields ⋮ Excursions above high levels by Gaussian random fields ⋮ Horseshoe-like patterns in first-order 3D random Gauss-Lagrange waves with directional spreading ⋮ On nonlinear wave groups and crest statistics ⋮ On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions ⋮ The relation between wave asymmetry and particle orbits analysed by Slepian models ⋮ Active Learning for Enumerating Local Minima Based on Gaussian Process Derivatives ⋮ Slepian models for Gaussian random landscapes ⋮ The geometry of correlation fields with an application to functional connectivity of the brain ⋮ On excursion sets, tube formulas and maxima of random fields. ⋮ Distribution of the height of local maxima of Gaussian random fields

Cites Work

• Large Excursions of Gaussian Processes
• Extreme values of stationary normal processes
• Some Properties of a Normal Process Near a Local Maximum
• Wave-length and amplitude for a stationary Gaussian process after a high maximum
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item