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math.PR2009★ 3 cited
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…
math.PR2005★ 36 cited
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…