29 citations · 94 across the 9 of their papers we have counts for
11 papers
On 3-dimensional Berry's model
Federico Dalmao, Anne Estrade, José León
This work aims to study the dislocation or nodal lines of 3D Berry's random wave model. Their expected length is computed both in the isotropic and anisotropic cases, being them co…
On the finiteness of the moments of the measure of level sets of random fields
Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +2
General conditions on smooth real valued random fields are given that ensure the finiteness of the moments of the measure of their level sets. As a by product a new generalized Kac…
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…
Asymptotic normality of high level-large time crossings of a Gaussian process
Federico Dalmao, José Rafael León, Ernesto Mordecki +1
We prove the asymptotic normality of the standardized number of crossings of a centered stationary mixing Gaussian process when both the level and the time horizon go to infinity i…
Estimation for stochastic damping Hamiltonian systems under partial observation. III. Diffusion term
Patrick Cattiaux, José R. León, Clémentine Prieur
This paper is the third part of our study started with Cattiaux, León and Prieur [Stochastic Process. Appl. 124 (2014) 1236-1260; ALEA Lat. Am. J. Probab. Math. Stat. 11 (2014) 359…
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\…