Geldhauser, C. orcid.org/0000-0002-9997-6710 and Romito, M. (Submitted: 2018) Limit theorems and fluctuations for point vortices of generalized Euler equations. arXiv. (Submitted)
Abstract
We prove a mean field limit, a law of large numbers and a central limit theorem for a system of point vortices on the 2D torus at equilibrium with positive temperature. The point vortices are formal solutions of a class of equations generalising the Euler equations, and are also known in the literature as generalised inviscid SQG. The mean field limit is a steady solution of the equations, the CLT limit is a stationary distribution of the equations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 The Author(s). For reuse permissions, please contact the Author(s). |
Keywords: | math.PR; math.PR; math-ph; math.AP; math.MP |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Feb 2020 12:53 |
Last Modified: | 18 Feb 2020 12:53 |
Published Version: | https://arxiv.org/abs/1810.12706v1 |
Status: | Submitted |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:152996 |