22 citations · 36 across the 9 of their papers we have counts for
12 papers
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…
Testing Gaussian Process with Applications to Super-Resolution
Jean-Marc Azaïs, Yohann De Castro, Stéphane Mourareau
This article introduces exact testing procedures on the mean of a Gaussian process derived from the outcomes of -minimization over the space of complex valued measures.…
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\…
Power of the Spacing test for Least-Angle Regression
Jean-Marc Azaïs, Yohann de Castro, Stéphane Mourareau
Recent advances in Post-Selection Inference have shown that conditional testing is relevant and tractable in high-dimensions. In the Gaussian linear model, further works have deriv…
A Rice method proof of the Null-Space Property over the Grassmannian
J. -M Azaïs, Y. De Castro, S. Mourareau
The Null-Space Property (NSP) is a necessary and sufficient condition for the recovery of the largest coefficients of solutions to an under-determined system of linear equations. I…
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…
A proportional hazard model for the estimation of ionosphere storm occurrence risk
Malika Chassan, Jean-Marc Azaïs, Guillaume Buscarlet +1
Severe Ionosphere magnetic storms are feared events for integrity and continuity of navigation systems such as EGNOS, the European SBAS (Satellite-Based Augmentation System) comple…
Spike detection from inaccurate samplings
Jean-Marc Azais, Yohann De Castro, Fabrice Gamboa
This article investigates the support detection problem using the LASSO estimator in the space of measures. More precisely, we study the recovery of a discrete measure (spike train…
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…