Global geometry under isotropic Brownian flows

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dc.creatorVadlamani, Sreekar
dc.creatorAdler, Robert J.
dc.date2008-08-05
dc.date.accessioned2026-07-07T09:54:55Z
dc.date.available2026-07-07T09:54:55Z
dc.descriptionWe consider global geometric properties of a codimension one manifold embedded in Euclidean space, as it evolves under an isotropic and volume preserving Brownian flow of diffeomorphisms. In particular, we obtain expressions describing the expected rate of growth of the Lipschitz-Killing curvatures, or intrinsic volumes, of the manifold under the flow. These results shed new light on some of the intriguing growth properties of flows from a global perspective, rather than the local perspective, on which there is a much larger literature.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0808.0720
dc.identifierhttp://arxiv.org/abs/0808.0720
dc.identifierElectronic Communications in Probability, volume 11, 182--192. 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166495
dc.subjectProbability
dc.subject60H10; 60J60
dc.titleGlobal geometry under isotropic Brownian flows
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