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arxiv: 1008.4830 · v2 · pith:XTKEQVUJnew · submitted 2010-08-28 · 🧮 math.PR

Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths

classification 🧮 math.PR
keywords pathsbrownianconvergencedimensionalinvariantmeasurepairsconditioned
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We consider pairs of 3-dimensional Brownian paths, started at the origin and conditioned to have no intersections after time zero. We show that there exists a unique measure on pairs of paths that is invariant under this conditioning, while improving the previously known rate of convergence to stationarity.

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