Cancellations in random nodal sets | Vidéo | Carmin.tv

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Cancellations in random nodal sets

By Giovanni Peccati

Appears in collection : 19th workshop on stochastic geometry, stereology and image analysis / 19ème conférence en géométrie stochastique, stéréologie et analyse d'images

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.

Information about the video

Date of recording 18/05/2017
Date of publication 25/05/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19168003
Cite this video Peccati, Giovanni (18/05/2017). Cancellations in random nodal sets. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19168003
URL https://dx.doi.org/10.24350/CIRM.V.19168003

Domain(s)

Bibliography

Dalmao, F., Nourdin, I., Peccati, G., & Rossi, M. (2016). Phase singularities in complex arithmetic random waves. <arXiv:1608.05631> - https://arxiv.org/abs/1608.05631
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

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