Multiple points of a Gaussian vector field

DOI10.1007/BF00531614zbMath0504.60052OpenAlexW2017577365MaRDI QIDQ4741501

Jack Cuzick

Publication date: 1982

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00531614

zbMATH Keywords

approximately independent componentspoints of multiplicity

Mathematics Subject Classification ID

Random fields (60G60) Sample path properties (60G17)

Related Items

Multiple Points of a Random Field ⋮ The intersection local time of fractional Brownian motion in the plane ⋮ Strong local nondeterminism of spherical fractional Brownian motion ⋮ On multiple points of some stable random fields ⋮ Properties of local-nondeterminism of Gaussian and stable random fields and their applications ⋮ Bivariate occupation measure dimension of multidimensional processes. ⋮ Multiple images of stochastic processes ⋮ The self-intersections of a Gaussian random field ⋮ On the Hausdorff dimension of a set of multiple points for some stable random fields ⋮ Some remarks on the Hausdorff dimension of a multiple point set of random fields with continuous sample paths

Cites Work

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• Joint continuity of Gaussian local times
• Local nondeterminism and the zeros of Gaussian processes
• Some local properties of Gaussian vector fields
• Sample functions of the Gaussian process
• The Hausdorff dimension of the level sets of a Gaussian vector field
• Points multiples des trajectoires de processus gaussiens
• Double points of a Gaussian sample path
• On the Upper and Lower Class for Stationary Gaussian Processes
• Multiple points for the sample paths of the symmetric stable process