22 citations · 36 across the 9 of their papers we have counts for
7 papers · 1 filter
Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems
Jean-Marc Azaïs, Diego Armentano, Federico Dalmao +1
We state the Central Limit Theorem, as the degree goes to infinity, for the normalized volume of the zero set of a rectangular Kostlan-Shub-Smale random polynomial system. This pap…
Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems
Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +1
We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A stud…
Local universality of the number of zeros of random trigonometric polynomials with continuous coefficients
Jean-Marc Azaïs, Federico Dalmao, José León +2
Let be a random trigonometric polynomial of degree with iid coefficients and let denote the (random) number of its zeros lying in the compact interval $I\subset\…
CLT for the zeros of Classical Random Trigonometric Polynomials
Jean-Marc Azaïs, Federico Dalmao, José R. León
We prove a Central Limit Theorem for the number of zeros of random trigonometric polynomials of the form , being independent standard…
Asymptotic formula for the tail of the maximum of smooth Stationary Gaussian fields on non locally convex sets
Jean-Marc Azaïs, Viet-Hung Pham
In this paper we consider the distribution of the maximum of a Gaussian field defined on non locally convex sets. Adler and Taylor or Aza\"ıs and Wschebor give the expansions in th…
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…
A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail
Jean-Marc Azaïs Mario Wschebor
We study the probability distribution of the maximum of smooth Gaussian fields defined on compact subsets of having some geometric regularity. Our main result is a ge…