Français
Cancellations in random nodal sets
Multi angle
Authors : Peccati, Giovanni (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 25/05/17 Conference Date : 18/05/17 Subseries : Research talks arXiv category : Probability ; Mathematical Physics Mathematical Area(s) : Probability & Statistics ; PDE Format : MP4 (.mp4) - HD Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-05-18_Peccati.mp4 
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Information on the Event
Event Title : 19th workshop on stochastic geometry, stereology and image analysis / 19ème conférence en géométrie stochastique, stéréologie et analyse d'imagesEvent Organizers : Calka, Pierre ; Coeurjolly, Jean-François ; Coupier, David ; Estrade, Anne ; Molchanov, Ilya Dates : 15/05/17 - 19/05/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1513.html
Citation Data
DOI : 10.24350/CIRM.V.19168003Cite this video as: 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 |
See Also
- [Multi angle] Random walks on dynamical percolation / Author of the conference Sousi, Perla.
- [Multi angle] The Poisson-saddlepoint approximation / Author of the conference Baddeley, Adrian.
- [Multi angle] Hyperplane tessellations in Euclidean and spherical spaces / Author of the conference Schneider, Rolf.
- [Multi angle] Curvature measures of random sets / Author of the conference Zähle, Martina.
- [Post-edited] Detection theory and novelty filters / Author of the conference Morel, Jean-Michel.
Bibliography
- 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
