Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations

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Bibtex

@article{424c0e7f6e984af9a2b26229de44e175,
title = "Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations",
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.",
keywords = "Central limit theorem, Generalized SQG, Law of large numbers, Mean field limit, Point vortices",
author = "Carina Geldhauser and Marco Romito",
year = "2021",
doi = "10.1007/s10955-021-02737-x",
language = "English",
volume = "182",
journal = "Journal of Statistical Physics",
issn = "1572-9613",
publisher = "Springer",
number = "3",

}