English
Cancellations in random nodal sets
Multi angle
Auteurs : Peccati, Giovanni (Auteur de la Conférence)
CIRM (Editeur )
35P20 - Asymptotic distribution of eigenvalues and eigenfunctions for PD operators
58J50 - Spectral problems; spectral geometry; scattering theory
60B10 - Convergence of probability measures
60D05 - Geometric probability and stochastic geometry
60F05 - Central limit and other weak theorems
60G60 - Random fields
CIRM (Editeur )
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Résumé :
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.
Codes MSC : Based on joint works with F. Dalmao, D. Marinucci, I. Nourdin, M. Rossi and I. Wigman.
35P20 - Asymptotic distribution of eigenvalues and eigenfunctions for PD operators
58J50 - Spectral problems; spectral geometry; scattering theory
60B10 - Convergence of probability measures
60D05 - Geometric probability and stochastic geometry
60F05 - Central limit and other weak theorems
60G60 - Random fields
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 25/05/17 Date de captation : 18/05/17 Sous collection : Research talks arXiv category : Probability ; Mathematical Physics Domaine : Probability & Statistics ; PDE Format : MP4 (.mp4) - HD Audience : Researchers Download : https://videos.cirm-math.fr/2017-05-18_Peccati.mp4 
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Informations sur la Rencontre
Nom de la rencontre : 19th workshop on stochastic geometry, stereology and image analysis / 19ème conférence en géométrie stochastique, stéréologie et analyse d'imagesOrganisateurs de la rencontre : Calka, Pierre ; Coeurjolly, Jean-François ; Coupier, David ; Estrade, Anne ; Molchanov, Ilya Dates : 15/05/17 - 19/05/17 Année de la rencontre : 2017 URL Congrès : http://conferences.cirm-math.fr/1513.html
Données de citation
DOI : 10.24350/CIRM.V.19168003Citer cette vidéo: Peccati, Giovanni (2017). Cancellations in random nodal sets. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19168003 URI : http://dx.doi.org/10.24350/CIRM.V.19168003 |
Voir aussi
- [Multi angle] Random walks on dynamical percolation / Auteur de la Conférence Sousi, Perla.
- [Multi angle] The Poisson-saddlepoint approximation / Auteur de la Conférence Baddeley, Adrian.
- [Multi angle] Hyperplane tessellations in Euclidean and spherical spaces / Auteur de la Conférence Schneider, Rolf.
- [Multi angle] Curvature measures of random sets / Auteur de la Conférence Zähle, Martina.
- [ Post-edited] Detection theory and novelty filters / Auteur de la Conférence Morel, Jean-Michel.
Bibliographie
- Dalmao, F., Nourdin, I., Peccati, G., & Rossi, M. (2016). Phase singularities in complex arithmetic random waves.
- Marinucci, D., Peccati, G., Rossi, M., & Wigman, I. (2016). Non-Universality of nodal length distribution for arithmetic random waves. Geometric and Functional Analysis, 26(3), 926-960 - http://doi.org/10.1007/s00039-016-0376-5
