AbstractA 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
AbstractWe consider a Gaussian process P on s(Rd) generated by a polynomial in the Laplace operator....
Let X be a real-valued stationary Gaussian random field defined on $R^d$ (d ≥ 1), with almost every ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
A formula is proved for the expectation of the (d-1)-dimensional measure of the intersection of a Ga...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
AbstractTangencies and level crossings of a random field X:Rm+×Ω→Rn (which is not necessarily Gaussi...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
AbstractWe present a functional limit theorem for the empirical level-crossing behaviour of a statio...
Publié in Adv. Appl. Probab. 48:3, 726-743 (2016). DOI : https://doi.org/10.1017/apr.2016.24When a r...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
AbstractLet {ω(t)}t⩾0 be a stochastically differentiable stationary process in Rm and let Au⊆Rm sati...
AbstractWe study the probability distribution F(u) of the maximum of smooth Gaussian fields defined ...
General conditions on smooth real valued random fields are given that ensure the finiteness of the m...
Let $X$ be a $d$-dimensional Gaussian process in $[0,1]$, where the component are independent copies...
AbstractIn this paper, we establish some limit results on Csörgó-Révész-type increments combined wit...
AbstractWe consider a Gaussian process P on s(Rd) generated by a polynomial in the Laplace operator....
Let X be a real-valued stationary Gaussian random field defined on $R^d$ (d ≥ 1), with almost every ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
A formula is proved for the expectation of the (d-1)-dimensional measure of the intersection of a Ga...
AbstractFor a d-dimensional random field X(t) define the occupation measure corresponding to the lev...
AbstractTangencies and level crossings of a random field X:Rm+×Ω→Rn (which is not necessarily Gaussi...
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures...
AbstractWe present a functional limit theorem for the empirical level-crossing behaviour of a statio...
Publié in Adv. Appl. Probab. 48:3, 726-743 (2016). DOI : https://doi.org/10.1017/apr.2016.24When a r...
In this thesis the focus is on crossing points in random fields and the probability distributions of...
AbstractLet {ω(t)}t⩾0 be a stochastically differentiable stationary process in Rm and let Au⊆Rm sati...
AbstractWe study the probability distribution F(u) of the maximum of smooth Gaussian fields defined ...
General conditions on smooth real valued random fields are given that ensure the finiteness of the m...
Let $X$ be a $d$-dimensional Gaussian process in $[0,1]$, where the component are independent copies...
AbstractIn this paper, we establish some limit results on Csörgó-Révész-type increments combined wit...
AbstractWe consider a Gaussian process P on s(Rd) generated by a polynomial in the Laplace operator....
Let X be a real-valued stationary Gaussian random field defined on $R^d$ (d ≥ 1), with almost every ...
AbstractOur primary aim is to “build” versions of generalised Gaussian processes from simple, elemen...
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