36 citations · 134 across the 9 of their papers we have counts for
5 papers · 1 filter
The tail of the maximum of smooth Gaussian fields on fractal sets
Jean-Marc Azaïs, Mario Wschebor
We study the probability distribution of the maximum of a smooth stationary Gaussian field defined on a fractal subset of . Our main result is the equivalent of th…
Rice formulae and Gaussian waves
Jean-Marc Azaïs, José R. León, Mario Wschebor
We use Rice formulae in order to compute the moments of some level functionals which are linked to problems in oceanography and optics: the number of specular points in one and two…
Some applications of Rice formulas to waves
Jean-Marc Azaïs, José R. León, Mario Wschebor
We use Rice's formulas in order to compute the moments of some level functionals which are linked to problems in oceanography and optics. For instance, we consider the number of sp…
Random systems of polynomial equations. The expected number of roots under smooth analysis
Diego Armentano, Mario Wschebor
We consider random systems of equations over the reals, with equations and unknowns , , , where the 's are non-random pol…
On the distribution of the maximum of a gaussian field with d parameters
Jean-Marc Azais, Mario Wschebor
Let I be a compact d-dimensional manifold, let X:I\to R be a Gaussian process with regular paths and let F_I(u), u\in R, be the probability distribution function of sup_{t\in I}X(t…