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Some local properties of Gaussian vector fields

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Publication:1253049
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DOI10.1214/aop/1176995388zbMath0395.60038OpenAlexW1999923169MaRDI QIDQ1253049

Jack Cuzick

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1214/aop/1176995388


zbMATH Keywords

CapacityGaussian Vector FieldsHausdorff DimensionLevel SetsLocal Time


Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17)


Related Items (11)

Hausdorff dimension of the graph of the fractional Brownian sheet ⋮ Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension ⋮ The measure theory of random fractals ⋮ Dimension properties of sample paths of self-similar processes ⋮ Minkowski dimension of Brownian motion with drift ⋮ Bivariate occupation measure dimension of multidimensional processes. ⋮ The Hausdorff dimension of the level sets of a Gaussian vector field ⋮ The self-intersections of a Gaussian random field ⋮ Multiple points of a Gaussian vector field ⋮ Generalized level crossings and tangencies of a random field with smooth sample functions ⋮ Gaussian stochastic processes




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