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Documents  Peccati, Giovanni | enregistrements trouvés : 2

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Research talks;Partial Differential Equations;Probability and Statistics

I will discuss second order results for the length of nodal sets and the number of phase singularities associated with Gaussian random Laplace eigenfunctions, both on compact manifolds (the flat torus) and on subset of the plane. I will mainly focus on 'cancellation phenomena' for nodal variances in the high-frequency limit, with specific emphasis on central and non-central second order results.

Based on joint works with F. Dalmao, D. Marinucci, I. Nourdin, M. Rossi and I. Wigman.
I will discuss second order results for the length of nodal sets and the number of phase singularities associated with Gaussian random Laplace eigenfunctions, both on compact manifolds (the flat torus) and on subset of the plane. I will mainly focus on 'cancellation phenomena' for nodal variances in the high-frequency limit, with specific emphasis on central and non-central second order results.

Based on joint works with F. Dalmao, D. ...

60G60 ; 60D05 ; 60B10 ; 58J50 ; 35P20 ; 60F05

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- ix; 341 p.
ISBN 978-0-521-17561-6

London mathematical society lecture note series , 0389

Localisation : Collection 1er étage

sphère isotrope # champs aléatoires # analyse spectrale # estimation des needlets # théorèmes limites # applications en cosmologie

60-02 ; 60G60 ; 62M15 ; 60D05 ; 60B15

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