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On large deviations for particle systems associated with spatially homogeneous Boltzmann type equations (1995)

Léonard, C.

Springer

Probability theory and related fields 101 (1995), S. 1-44

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Details

ISSN: 1432-2064

Schlagwort(e): 60F10 ; 60G57 ; 60K35

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary We consider a dynamical interacting particle system whose empirical distribution tends to the solution of a spatially homogeneous Boltzmann type equation, as the number of particles tends to infinity. These laws of large numbers were proved for the Maxwellian molecules by H. Tanaka [Tal] and for the hard spheres by A.S. Sznitman [Szl]. In the present paper we investigate the corresponding large deviations: the large deviation upper bound is obtained and, using convex analysis, a non-variational formulation of the rate function is given. Our results hold for Maxwellian molecules with a cutoff potential and for hard spheres.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01192194

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