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Название: Fluctuation Theory for a Three-Dimensional Model of Maxwellian Molecules
Авторы: Bezandry P.H., Diagana T.
Journal of Statistical Physics, Vol. 110, Nos. 3–6, March 2003, p. 1375-1395.
Under suitable assumptions, a functional central limit theorem is obtained for a three-dimensional model of Maxwellian molecules. This model is related to a nonlinear Boltzmann-type equation. It will be proved that the family of the distributions induced by fluctuation processes converges weakly.