Add to ORKGA formula is proved for the expectation of the (d-1)-dimensional measure of the intersection of a Gaussian stationary random field with a fixed level u.
We derive a covariance formula for the class of ‘topological events’ of smooth Gaussian fields on ma...
AbstractWe consider generalized Gaussian random fields given by equations Piξi = ηi , in S ⊂ Rq, i =...
The study of the geometry of excursion sets of 2D random fields, especially the perimeter or length ...
AbstractA formula is proved for the expectation of the (d−1)-dimensional measure of the intersection...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
AbstractLet X(t) be an (N,d,α¯) non-deterministic Gaussian field. In this paper, the sufficient cond...
When a random field (Xt; t 2 R2) is thresholded on a given level u, the excursion set is given by it...
Asymptotic expressions are derived for the mean up-crossing rate, size, and number density of excurs...
International audienceIn the present paper, we deal with a stationary isotropic random field X : R d...
Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = X1(t),...,Xd(t...
We obtain formulae for the expected number and height distribution of critical points of smooth isot...
We determine the exact Hausdorff measure functions for the range and level sets of a class of Gaussi...
The equivalence of Gaussian measures is a fundamental tool to establish the asymptotic properties of...
We derive a covariance formula for the class of ‘topological events’ of smooth Gaussian fields on ma...
AbstractWe consider generalized Gaussian random fields given by equations Piξi = ηi , in S ⊂ Rq, i =...
The study of the geometry of excursion sets of 2D random fields, especially the perimeter or length ...
AbstractA formula is proved for the expectation of the (d−1)-dimensional measure of the intersection...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
AbstractLet X(t) be an (N,d,α¯) non-deterministic Gaussian field. In this paper, the sufficient cond...
When a random field (Xt; t 2 R2) is thresholded on a given level u, the excursion set is given by it...
Asymptotic expressions are derived for the mean up-crossing rate, size, and number density of excurs...
International audienceIn the present paper, we deal with a stationary isotropic random field X : R d...
Let X = {X(t), t ∈ RN} be a Gaussian random field with values in Rd defined by X(t) = X1(t),...,Xd(t...
We obtain formulae for the expected number and height distribution of critical points of smooth isot...
We determine the exact Hausdorff measure functions for the range and level sets of a class of Gaussi...
The equivalence of Gaussian measures is a fundamental tool to establish the asymptotic properties of...
We derive a covariance formula for the class of ‘topological events’ of smooth Gaussian fields on ma...
AbstractWe consider generalized Gaussian random fields given by equations Piξi = ηi , in S ⊂ Rq, i =...
The study of the geometry of excursion sets of 2D random fields, especially the perimeter or length ...