19 citations · 42 across the 12 of their papers we have counts for
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math.DG2012
Equivalent Harnack and Gradient Inequalities for Pointwise Curvature Lower Bound
Marc Arnaudon, Anton Thalmaier, Feng-Yu Wang
By using a coupling method, an explicit log-Harnack inequality with local geometry quantities is established for (sub-Markovian) diffusion semigroups on a Riemannian manifold (poss…
math.PR2012★ 1 cited
Means in complete manifolds: uniqueness and approximation
Marc Arnaudon, Laurent Miclo
Let be a complete Riemannian manifold, $N\in \NN$ and . We prove that almost everywhere on for Lebesgue measure in , the measure $\di μ(x)…