39 citations · 118 across the 37 of their papers we have counts for
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math.DG2010★ 6 cited
Medians and means in Finsler geometry
Marc Arnaudon, Frank Nielsen
We investigate existence and uniqueness of p-means and the median of a probability measure on a Finsler manifold, in relation with the convexity of the support of the measure. We p…
math.PR2010★ 1 cited
Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
Marc Arnaudon, Ana Bela Cruzeiro
We prove a variational principle for stochastic Lagrangian Navier-Stokes trajectories on manifolds. We study the behaviour of such trajectories concerning stability as well as rota…
math.PR2010★ 4 cited
The differentiation of hypoelliptic diffusion semigroups
Marc Arnaudon, Anton Thalmaier
Basic derivative formulas are presented for hypoelliptic heat semigroups and harmonic functions extending earlier work in the elliptic case. Emphasis is placed on developing integr…