[Todos CMAT] SEMINARIO DE PROBABILIDAD Y ESTADÍSTICA - ANUNCIO
seminarios en cmat.edu.uy
seminarios en cmat.edu.uy
Mie Dic 5 22:50:28 -03 2018
SEMINARIO DE PROBABILIDAD Y ESTADÍSTICA
Viernes 7 de diciembre, de 10:30 AM a 11:30 AM, Salón de Seminario - Centro de Matemática
Expositor: Jean-Marc Azais, Université de Toulouse
Título: Repulsion or attraction of critical points of isotropic Gaussian fields.
Resumen: We study the local behaviour of critical points of smooth Gaussian stationary and isotrope fields$R^N \to R$ . In dimension 1 ($N=1$) we deduce from well known results of the literature that there is always repulsion between critical points: they are better spread than a Poisson process. In higher dimension, depending on the dimension, we observe some neutrality when $N=2$ and attraction for $N>2$. Specifying the index of the critical points we give some interpretation. Our results generalise the result by Beliaev et al that concern the random plane wave.
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