Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations

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Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations. / Geldhauser, Carina; Romito, Marco.

I: Journal of Statistical Physics, Vol. 182, Nr. 3, 60, 2021.

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TY - JOUR

T1 - Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations

AU - Geldhauser, Carina

AU - Romito, Marco

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Central limit theorem

KW - Generalized SQG

KW - Law of large numbers

KW - Mean field limit

KW - Point vortices

U2 - 10.1007/s10955-021-02737-x

DO - 10.1007/s10955-021-02737-x

M3 - Article

AN - SCOPUS:85102476458

VL - 182

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 1572-9613

IS - 3

M1 - 60

ER -