Interacting Brownian motions and the Gross-Pitaevskii formula

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dc.creatorAdams, Stefan
dc.creatorKönig, Wolfgang
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:23Z
dc.date.available2026-07-07T08:30:23Z
dc.descriptionWe review probabilistic approaches to the Gross-Pitaevskii theory describing interacting dilute systems of particles. The main achievement are large deviations principles for the mean occupation measure of a large system of interacting Brownian motions in a trapping potential. The corresponding rate functions are given as variational problems whose solution provide effective descriptions of the infinite system.
dc.identifierhttps://arxiv.org/abs/0709.2771
dc.identifierhttp://arxiv.org/abs/0709.2771
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138231
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60F10; 60J65; 82B10; 82B26
dc.titleInteracting Brownian motions and the Gross-Pitaevskii formula
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