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math.PR2005★ 19 cited
Barycenters of measures transported by stochastic flows
Marc Arnaudon, Xue-Mei Li
We investigate the evolution of barycenters of masses transported by stochastic flows. The state spaces under consideration are smooth affine manifolds with certain convexity struc…
math.PR2004
Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature
Marc Arnaudon, Thomas Simon
We study the rate of concentration of a Brownian bridge in time one around the corresponding geodesical segment on a Cartan-Hadamard manifold with pinched negative sectional curvat…