114 citations · 295 across the 7 of their papers we have counts for
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math.AP2013
Nonlinear diffusion: Geodesic Convexity is equivalent to Wasserstein Contraction
François Bolley, José A. Carrillo
It is well known that nonlinear diffusion equations can be interpreted as a gradient flow in the space of probability measures equipped with the Euclidean Wasserstein distance. Und…
math.PR2013★ 20 cited
Dimensional contraction via Markov transportation distance
François Bolley, Ivan Gentil, Arnaud Guillin
It is now well known that curvature conditions à la Bakry-Emery are equivalent to contraction properties of the heat semigroup with respect to the classical quadratic Wasserstein d…