Fields medallists - 2014

Collection Fields medallists - 2014

00:00:00 / 00:00:00

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Fine properties of random fields: from fluids to QFT

By Martin Hairer

Also appears in collection : New trends of stochastic nonlinear systems: well-posedeness, dynamics and numerics / Nouvelles tendances en analyse non linéaire stochastique: caractère bien posé, dynamique et aspects numériques

We discuss various regularity properties for invariant measures of (possibly singular) SPDEs. In particular, we resolve an old question regarding the equivalence of the invariant measure for the stochastic 2D Navier-Stokes equations and a Gaussian measure.

Information about the video

Date of recording 23/10/2025
Date of publication 31/10/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20396203
Cite this video Hairer, Martin (23/10/2025). Fine properties of random fields: from fluids to QFT. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20396203
URL https://dx.doi.org/10.24350/CIRM.V.20396203

Domain(s)

Category Theory

Bibliography

COE, James, HAIRER, Martin, et TOLOMEO, Leonardo. Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations. arXiv preprint arXiv:2510.13460, 2025. - [https://doi.org/10.48550/arXiv.2510.13460 Focus to learn more](https://doi.org/10.48550/arXiv.2510.13460 Focus to learn more)
HAIRER, Martin, KUSUOKA, Seiichiro, et NAGOJI, Hirotatsu. Singularity of solutions to singular SPDEs. arXiv preprint arXiv:2409.10037, 2024. - https://doi.org/10.48550/arXiv.2409.10037

MSC codes

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