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Representation of linearly additive random fields

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Publication:1184047
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DOI10.1007/BF01205238zbMath0741.60040OpenAlexW2060755044MaRDI QIDQ1184047

Toshio Mori

Publication date: 28 June 1992

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01205238


zbMATH Keywords

additive Poisson random fieldsinfinitely divisible random fieldrepresentation of linearly additive pseudo-metrics in the plane


Mathematics Subject Classification ID

Random fields (60G60)


Related Items

Invariance principles for self-similar set-indexed random fields ⋮ Multifractal analysis of Lévy fields ⋮ Anisotropic fractional Brownian random fields as white noise functionals ⋮ Wavelet analysis of the Besov regularity of Lévy white noise ⋮ On the determinism of the distributions of multiple Markov non-Gaussian symmetric stable processes



Cites Work

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  • Hilbert's fourth problem. I
  • Planes for which the lines are the shortest paths between points
  • Sample functions of the Gaussian process
  • Generalized Radon Transform and Lévy’s Brownian Motion, I
  • Combinatorial Foundations of Stochastic Geometry
  • A note on pseudo-metrics on the plane
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