For a system consisting of several Dirac fields and a particle, we study the
Cauchy problem with random initial data. We assume that the initial measure has
zero mean value, a finite mean charge density, a translation-invariant
covariance and satisfies a mixing condition. The main result is the long-time
convergence of distributions of the random solutions to a limit Gaussian
measure.

Cet article explore les excursions dans le temps et leurs implications.

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