Limit Theorems and Fluctuations for Point Vortices of Generalized Euler Equations

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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.


External organisations
  • University of Pisa
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics


  • Central limit theorem, Generalized SQG, Law of large numbers, Mean field limit, Point vortices
Original languageEnglish
Article number60
JournalJournal of Statistical Physics
Issue number3
Publication statusPublished - 2021
Publication categoryResearch