36 citations · 134 across the 9 of their papers we have counts for
9 papers
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…
A Numerical Algorithm for Zero Counting. III: Randomization and Condition
Felipe Cucker, Teresa Krick, Gregorio Malajovich +1
In a recent paper (Cucker, Krick, Malajovich and Wschebor, A Numerical Algorithm for Zero Counting. I: Complexity and accuracy, J. Compl.,24:582-605, 2008) we analyzed a numerical…
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…
A Numerical Algorithm for Zero Counting. II: Distance to Ill-posedness and Smoothed Analysis
Felipe Cucker, Teresa Krick, Gregorio Malajovich +1
We show a Condition Number Theorem for the condition number of zero counting for real polynomial systems. That is, we show that this condition number equals the inverse of the norm…
A numerical algorithm for zero counting II: Randomization and Condition
Felipe Cucker, Teresa Krick, Gregorio Malajovich +1
This paper was witdrawn by the authors.