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For a smooth vectorial stationary Gaussian random field X : Ω × R d → R d , we give necessary and sufficient conditions to have a finite second moment for the number of roots of X(t) − u. The results are obtained by using a method of proof inspired on the one obtained by D. Geman for stationary Gaussian processes long time ago. Afterwards the same method is applied to the number of critical points of a scalar random field and also to the level set of a vectorial process X : Ω × R D → R d with D > d
http://www.i-journals.org/ps/viewarticle.php?id=73&layout=abstractInternational audienceThis paper p...
International audienceIn the present paper, we deal with a stationary isotropic random field X : R d...
We consider smooth, infinitely divisible random fields with regularly varying Levy measure, and ar...
For a smooth vectorial stationary Gaussian random field X : Ω × R d → R d , we give necessary and su...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
General conditions on smooth real valued random fields are given that ensure the finiteness of the m...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
International audienceWe study the number of points where the gradient of a stationary Gaussian rand...
Let X be a real-valued stationary Gaussian random field defined on $R^d$ (d ≥ 1), with almost every ...
A timely and comprehensive treatment of random field theory with applications across diverse areas o...
AbstractWe study the probability distribution F(u) of the maximum of smooth Gaussian fields defined ...
For a smooth stationary Gaussian field on $\mathbb{R}^d$ and level $\ell \in \mathbb{R}$, we conside...
When a random field (Xt; t 2 R2) is thresholded on a given level u, the excursion set is given by it...
For a smooth stationary Gaussian field f on R d and level ℓ ∈ R, we consider the number of connected...
International audienceCramér and Leadbetter introduced in 1967 the sufficient condition [(r''(s)-r''...
http://www.i-journals.org/ps/viewarticle.php?id=73&layout=abstractInternational audienceThis paper p...
International audienceIn the present paper, we deal with a stationary isotropic random field X : R d...
We consider smooth, infinitely divisible random fields with regularly varying Levy measure, and ar...
For a smooth vectorial stationary Gaussian random field X : Ω × R d → R d , we give necessary and su...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
General conditions on smooth real valued random fields are given that ensure the finiteness of the m...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
International audienceWe study the number of points where the gradient of a stationary Gaussian rand...
Let X be a real-valued stationary Gaussian random field defined on $R^d$ (d ≥ 1), with almost every ...
A timely and comprehensive treatment of random field theory with applications across diverse areas o...
AbstractWe study the probability distribution F(u) of the maximum of smooth Gaussian fields defined ...
For a smooth stationary Gaussian field on $\mathbb{R}^d$ and level $\ell \in \mathbb{R}$, we conside...
When a random field (Xt; t 2 R2) is thresholded on a given level u, the excursion set is given by it...
For a smooth stationary Gaussian field f on R d and level ℓ ∈ R, we consider the number of connected...
International audienceCramér and Leadbetter introduced in 1967 the sufficient condition [(r''(s)-r''...
http://www.i-journals.org/ps/viewarticle.php?id=73&layout=abstractInternational audienceThis paper p...
International audienceIn the present paper, we deal with a stationary isotropic random field X : R d...
We consider smooth, infinitely divisible random fields with regularly varying Levy measure, and ar...
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