Brownian motion in riemannian admissible complex

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dc.creatorBouziane, Taoufik
dc.date2004-03-03
dc.date2004-11-23
dc.date.accessioned2026-07-07T05:05:55Z
dc.date.available2026-07-07T05:05:55Z
dc.descriptionThe purpose of this work is to construct a {\it Brownian motion} with values in simplicial complexes with piecewise differential structure. In order to state and prove the existence of such Brownian motion, we define a family of continuous Markov processes with values in an admissible complex; we call every process of this family, {\it isotropic transport process}. We show that the family of the isotropic processes contains a subsequence, which converges weakly to a measure; we name it the {\it Wiener measure}. Then, using the finite dimensional distributions of the obtained Wiener measure, we construct a new admissible complex valued continuous Markov process: the Brownian motion. We finished with a geometric analysis of this Brownian motion, to determine the recurrent or transient behavior of such process.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0403080
dc.identifierhttp://arxiv.org/abs/math/0403080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70351
dc.subjectProbability
dc.subjectMetric Geometry
dc.titleBrownian motion in riemannian admissible complex
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