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Gaussian fields and random flow
Journal of Fluid Mechanics, 1974The high-frequency component of the random solution of a model problem is shown to be statistically orthogonal to the Gaussian component. This is shown to be a consequence of the existence of an equilibrium range. It is concluded that random flow fields can be viewed as being approximately Gaussian only in a very special sense and, in particular, that ...
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On the envelope of a Gaussian random field
Journal of Applied Probability, 1978For homogeneous, two-dimensional random field ξ(t), t ∈ R 2 we develop the ‘half' spectral theory sufficient to rigorously define its envelope η (t). We then specialise to the case of ξ Gaussian, which implies η is Rayleigh, and consider the mean value of a certain characteristic of the sets {t:η(t) ≧ u} (u ≧ 0). From this we deduce some
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A Theorem on Gaussian Random Fields
Theory of Probability & Its Applications, 1974openaire +1 more source
Homogeneous Gaussian Random Fields
2000Let ξ(t), t G Zd, be a random field of real-valued random variables. L is a fixed finite set in Zd not containing 0. The set of points s ∈ Zd such that s — t ∈ L is called the L-boundary of the point t. The L-boundary of a set T ⊂ Z d is the set of points s not in T but in the L-boundary of some point t ∈ T.
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Gaussian Random Fields on Manifolds
2004This paper is an attempt to encourage the reader to take a serious look at the study of Gaussian random fields on Riemannian manifolds.
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On Quadratic Variation of Gaussian Random Fields
Theory of Probability & Its Applications, 1979Deo, C. M., Wong, S. F.
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Image Steganography With Symmetric Embedding Using Gaussian Markov Random Field Model
IEEE Transactions on Circuits and Systems for Video Technology, 2021Wenkang Su, Jiangqun Ni, Xianglei Hu
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