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Bitte beziehen Sie sich beim Zitieren dieses Dokumentes immer auf folgende URN: urn:nbn:de:kobv:517-opus-49552 URL: http://opus.kobv.de/ubp/volltexte/2011/4955/ Fradon, Myriam ; Roelly, Sylvie
Infinitely many Brownian globules with Brownian radii
Kurzfassung auf EnglischWe consider an infinite system of non overlaping globules undergoing Brownian motions in R3. The term globules means that the objects we are dealing with are spherical, but with a radius which is random and time-dependent. The dynamics is modelized by an infinitedimensional Stochastic Differential Equation with local time. Existence and uniqueness of a strong solution is proven for such an equation with fixed deterministic initial condition. We also find a class of reversible measures.
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