Non-colliding system of Brownian particles as Pfaffian process

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dc.creatorKatori, Makoto
dc.date2005-06-10
dc.date.accessioned2026-07-07T05:20:39Z
dc.date.available2026-07-07T05:20:39Z
dc.descriptionIn the paper [7] we studied the temporally inhomogeneous system of non-colliding Brownian motions and proved that multi-time correlation functions are generally given by the quaternion determinants in the sense of Dyson and Mehta. In this report we give another proof of the equivalent statement using Fredholm determinant and Fredholm pfaffian, and claim that the present system is a typical example of pfaffian processes.
dc.descriptionLaTeX, 14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0506186
dc.identifierhttp://arxiv.org/abs/math/0506186
dc.identifierRIMS Kokyuroku 1422 (2005) 12-25
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75455
dc.subjectProbability
dc.subjectMathematical Physics
dc.titleNon-colliding system of Brownian particles as Pfaffian process
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